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CHSPE practice test with answers

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CHSPE Math
Practice Test 1
2020 - 2021
Total number of questions: 50
Total time: No time limit
Basic Calculator is permitted for CHSPE Math Test.
CHSPE Math Practice Test Answer Sheet
Remove (or photocopy) this answer sheet and use it to complete the practice test.
CHSPE Math Practice Test 1
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1) In five successive hours, a car traveled
next five hours, it traveled with an average speed of
distance the car traveled in
hours.
and
. In the
. Find the total
A.
B.
C.
D.
2) How long does a
miles trip take moving at
miles per hour (
)?
A.
B.
C.
D.
3) Right triangle
length of the third side
has two legs of lengths
?
and
(AC). What is the
. If there are
students in a school,
A.
B.
C.
D.
4) The ratio of boys to girls in a school is
how many boys are in the school?
A.
B.
C.
D.
5)
?
A.
B.
C.
D.
6) Which of the following expressions is equivalent to
A.
B.
C.
D.
7) If
, what is when
and
?
A.
B.
C.
D.
8) From the figure, which of the following must be true?
(figure not drawn to scale)
A.
B.
C.
D.
9) The perimeter of the trapezoid below is
.
What is its area?
A.
B.
C.
D.
10) Two third of
is equal to of what number?
A.
B.
C.
D.
11) The marked price of a computer is
dollar. Its price decreased by
in
January and later increased by
in February. What is the final price of the computer in
dollar?
A.
B.
C.
D.
12) The radius of a cylinder is
surface area of the cylinder?
inches and its height is
inches. What is the
A.
B.
C.
D.
13) The average of
and is
. What is the value of ?
A.
B.
C.
D.
14) The price of a sofa is decreased by
to
. What was its original price?
A.
B.
C.
D.
15) The area of a circle is
. What is the circumference of the circle?
A.
B.
C.
D.
16) A
A.
B.
C.
D.
shirt now selling for
is discounted by what percent?
17) In
, the average worker's income increased
per year starting from
annual salary. Which equation represents income greater than average? (
income, = number of years after
)
A.
B.
C.
D.
18) A boat sails
start point?
miles south and then
miles east. How far is the boat from its
A.
B.
C.
D.
19) Sophia purchased a sofa for
. The sofa is regularly priced at
was the percent discount Sophia received on the sofa?
. What
A.
B.
C.
D.
20) The score of Emma was half as that of Ava and the score of Mia was twice that
of Ava. If the score of Mia was , what is the score of Emma?
A.
B.
C.
D.
21) A bag contains
balls: two green, five black, eight blue, a brown, a red and one
white. If
balls are removed from the bag at random, what is the probability that a
brown ball has been removed?
A.
B.
C.
D.
22) The average of five consecutive numbers is
. What is the smallest number?
A.
B.
C.
D.
23) The price of a car was
in
. In
, the price of that car was
. What was the rate of depreciation of the price of car per year?
A.
B.
C.
D.
24) The width of a box is one third of its length. The height of the box is one third of
its width. If the length of the box is
, what is the volume of the box?
A.
B.
C.
D.
25) A tree
Jack’s shadow?
feet tall casts a shadow
feet long. Jack is
feet tall. How long is
A.
B.
C.
D.
26) When a number is subtracted from
and the difference is divided by that
number, the result is . What is the value of the number?
A.
B.
C.
D.
27) An angle is equal to one ninth of its supplement. What is the measure of that
angle?
A.
B.
C.
D.
28) John traveled
in hours and Alice traveled
the ratio of the average speed of John to average speed of Alice?
in
hours. What is
A.
B.
C.
D.
29) If
, what is the least possible value of
?
A. 3
B. 4
C. 7
D. 9
30) A rope weighs
grams per meter of length. What is the weight in kilograms of
meters of this rope? (
A.
B.
C.
D.
31) A chemical solution contains
volume of the solution?
A.
B.
C.
D.
alcohol. If there is
of alcohol, what is the
32) The average weight of
girls in a class is
and the average weight of
boys in the same class is
. What is the average weight of all the
students in that
class?
A.
B.
C.
D.
33) The price of a laptop is decreased by
to
. What is its original price?
A.
B.
C.
D.
34) A bank is offering
simple interest on a savings account. If you deposit
, how much interest will you earn in five years?
A.
B.
C.
D.
35) Multiply and write the product in scientific notation:
A.
B.
C.
D.
36) If the height of a right pyramid is
What is its volume?
and its base is a square with side
A.
B.
C.
D.
37)
less than twice a positive integer is
. What is the integer?
.
A.
B.
C.
D.
38) A shirt costing
is discounted
. After a month, the shirt is discounted
another
Which of the following expressions can be used to find the selling price of
the shirt?
A.
B.
C.
D.
39) Which of the following points lies on the line
?
A.
B.
C.
D.
40) If
both equations?
,
, which of the following ordered pairs
satisfies
A.
B.
C.
D.
41) If
then
?
A.
B.
C.
D.
42) A line in the -plane passes through origin and has a slope of . Which of the
following points lies on the line?
A.
B.
C.
D.
43) Which of the following is equivalent to
A.
?
B.
C.
D.
44) Solve for :
A.
B.
C.
D.
,
45) In the -plane, if
is a solution to the system of inequalities above, which of
the following relationships between and must be true?
A.
B.
C.
D.
46) What is the value of in the following equation?
A.
B.
C.
D.
47) Calculate
for the following function .
A.
B.
C.
D.
48) John buys a pepper plant that is inches tall. With regular watering the plant
grows inches a year. Writing John’s plant’s height as a function of time, what does the
intercept represent?
A. The
intercept represents the rate of grows of the plant which is inches
B. The
intercept represents the starting height of inches
C. The
intercept represents the rate of growth of plant which is inches per year
D. There is no
intercept
49) If
what is the value of ?
A.
B.
C.
D.
50) If the following equations are true, what is the value of ?
A. 2
B. 3
C. 6
D. 12
End of CHSPE Math Practice Test 1
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,
CHSPE Math
Practice Test 2
2020 - 2021
Total number of questions: 50
Total time: No time limit
Basic Calculator is permitted for CHSPE Math Test.
CHSPE Math Practice Test Answer Sheet
Remove (or photocopy) this answer sheet and use it to complete the practice test.
CHSPE Math Practice Test 2
1
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1) The mean of
test scores was calculated as . But, it turned out that one
of the scores was misread as
but it was . What is the mean?
A.
B.
C.
D.
2) Two dice are thrown simultaneously, what is the probability of getting a
sum of or ?
A.
B.
C.
D.
3) Which of the following is equal to the expression below?
A.
B.
C.
D.
4) What is the product of all possible values of in the following equation?
A.
B.
C.
D.
5) What is the slope of a line that is perpendicular to the line
A.
B.
?
C.
D.
6) What is the value of the expression
?
when
and
A.
B.
C.
D.
7) A swimming pool holds
cubic feet of water. The swimming pool is
feet long and
feet wide. How deep is the swimming pool?
A.
B.
C.
D.
8) Four one – foot rulers can be split among how many users to leave each
with of a ruler?
A.
B.
C.
D.
9) What is the area of a square whose diagonal is ?
A.
B.
C.
D.
10) The average of five numbers is . If a sixth number
is added, then,
what is the new average? (round your answer to the nearest hundredth)
A.
B.
C.
D.
Questions 11 to 13 are based on the following data
The result of a research shows the number of men and women in four cities of a
country.
11) What's the maximum ratio of the number of women to number of men in
each city?
A. 0.98
B. 0.97
C. 0.96
D. 0.95
12) What's the ratio of the percentage of men in city A to percentage of women
in city C?
A.
B.
C. 1
D.
13) How many women should be added to city D to change the ratio of women
to men to 1.2?
A. 130
B. 129
C. 132
D. 131
14) Jason needs an
average in his writing class to pass. On his first
exams, he earned scores of
and
. What is the minimum
score Jason can earn on his fifth and final test to pass?
A.
B.
C.
D.
15) What is the value of in the following equation?
A.
B.
C.
D.
16) A bank is offering
simple interest on a savings account. If you
deposit
, how much interest will you earn in two years?
A.
B.
C.
D.
17) Simplify
A.
B.
C.
D.
18) What is the surface area of the cylinder below?
A.
B.
C.
D.
E.
19) Last week
fans attended a football match. This week three times as
many bought tickets, but one sixth of them cancelled their tickets. How many
are attending this week?
A.
B.
C.
D.
20) What is the perimeter of a square that has an area of
square inches?
A.
B.
C.
D.
21) If
A.
B.
C.
D.
and
, what is the value of
?
22) A cruise line ship left Port A and traveled
miles due west and then
miles due north. At this point, what is the shortest distance from the cruise to
port A?
A.
B.
C.
D.
23) What is the equivalent temperature of
in Celsius?
A.
B.
C.
D.
24) The perimeter of a rectangular yard is
width is twice its length?
meters. What is its length if its
A.
B.
C.
D.
25) The average of numbers is . The average of
What is the average of the other two numbers?
of those numbers is
.
A.
B.
C.
D.
26) If
of a number is
, then what is the
of that number?
A.
B.
C.
D.
27) What is the slope of the line:
A.
B.
C.
D.
28) In two successive years, the population of a town is increased by
. What percent of the population is increased after two years?
and
A.
B.
C.
D.
29) The area of a circle is
. What is the diameter of the circle?
A.
B.
C.
D.
30) If
of a number is , what is the number?
A.
B.
C.
D.
31) If a tree casts a –foot shadow at the same time that a
casts a –foot shadow, what is the height of the tree?
feet yardstick
A.
B.
C.
D.
32) Jason is miles ahead of Joe running at
miles per hour and Joe is
running at the speed of miles per hour. How long does it take Joe to catch
Jason?
A.
B.
C.
D.
33)
students took an exam and 11 of them failed. What percent of the
students passed the exam?
A.
B.
C.
D.
34) If
A.
B.
and
, what is the value of
?
C.
D.
35) The diagonal of a rectangle is
inches long and the height of the
rectangle is inches. What is the perimeter of the rectangle?
A.
B.
C.
D.
36)
is
The perimeter of the trapezoid below
. What is its area?
A.
B.
C.
D.
37) If
and
, what is the value of
?
A.
B.
C.
D.
38) A cruise line ship left Port and traveled 80 miles due west and then 150
miles due north. At this point, what is the shortest distance from the cruise to
port ?
A. 70 miles
B. 80 miles
C. 150 miles
D. 170 miles
39) If the ratio of
to
is , what is the ratio of to ?
A. 10
B. 25
C.
D.
40) If
, what is the value of in the following equation?
A. 30
B. 45
C. 60
D. 120
41) If
and
, what is the value of ?
A.
B.
C.
D.
42) Which of the following is equal to
?
A.
B.
C.
D.
43) On Saturday, Sara read pages of a book each hour for hours, and Mary
read
pages of a book each hour for
hours. Which of the following
represents the total number of pages of book read by Sara and Mary on
Saturday?
A.
B.
C.
D.
44) Sara opened a bank account that earns 2 percent compounded annually.
Her initial deposit was $150, and she uses the expression
to find the
value of the account after years. What is the value of in the expression?
A.
B.
C.
D.
45) If function is defined as
What is the value of
, and
is a constant and
A.
B.
C.
D.
46) Find the solution
to the following system of equations?
A.
B.
C.
D.
47) Calculate
for the function
.
A.
B.
C.
D.
48) What are the zeroes of the function
?
49) Which of the following lines is parallel to:
?
A.
B.
C.
D.
.
A.
B.
C.
D.
50) The average of
and is
. What is the value of ?
A.
B.
C.
D.
End of CHSPE Math Practice Test 2
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CHSPE Math Practice Tests Answer Keys
Now, it’s time to review your results to see where you went wrong and what
areas you need to improve.
CHSPE Math Practice Test 1
CHSPE Math Practice Test 2
1
C
21
D
41
A
1
C
21
D
41
D
2
B
22
C
42
C
2
D
22
D
42
C
3
D
23
C
43
C
3
D
23
B
43
B
4
D
24
D
44
C
4
D
24
A
44
D
5
D
25
A
45
B
5
B
25
D
45
C
6
D
26
C
46
D
6
C
26
A
46
D
7
D
27
B
47
B
7
D
27
D
47
A
8
D
28
C
48
B
8
C
28
B
48
D
9
D
29
C
49
C
9
B
29
C
49
A
10
C
30
C
50
D
10
D
30
D
50
D
11
B
31
B
11
B
31
C
12
D
32
B
12
D
32
C
13
D
33
D
13
C
33
D
14
D
34
C
14
D
34
D
15
B
35
D
15
B
35
D
16
B
36
D
16
B
36
B
17
A
37
A
17
D
37
D
18
D
38
D
18
A
38
D
19
B
39
A
19
C
39
C
20
A
40
C
20
D
40
A
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CHSPE Math Practice Tests Answers and
Explanations
CHSPE Math Practice Test 1
1) Choice C is correct
Add the first
numbers.
, To find the
distance traveled in the next hours, multiply the average by number of hours.
.
Add
both
numbers.
2) Choice B is correct
Use distance formula:
, divide both
sides by
Change hours to minutes for the
decimal part.
3) Choice D is correct
Use Pythagorean Theorem:
4) Choice D is correct
Th ratio of boy to girls is
. Therefore, there are boys out of students.
To find the answer, first divide the total number of students by , then multiply
the result by .
5) Choice D is correct
Use FOIL (First, Out, In, Last).
6) Choice D is correct
Use distributive property:
7) Choice D is correct
. Plug in the values of and
.
8) Choice D is correct
and are colinear. and
9) Choice D is correct
in the equation:
are colinear. Therefore,
and
The perimeter of the trapezoid is
Therefore, the missing side (height) is
. Area of the trapezoid:
10) Choice C is correct
Let be the number. Write the equation and solve for .
, use cross multiplication to solve for .
11) Choice B is correct
To find the discount, multiply the number by (
Therefore, for the first discount we get: (
For increase of
).
.
or
12) Choice D is correct
Surface Area of a cylinder
inches and its height is
.
The radius of the cylinder is
inches. Surface Area of a cylinder
13) Choice D is correct
14) Choice D is correct
Let be the original price. If the price of the sofa is decreased by
to
, then:
⇒
⇒
15) Choice B is correct
Use
the
formula
of
areas
of
circles.
Radius of the circle is
Circumference
.
16) Choice B is correct
. Now, use the circumference formula:
Use the formula for Percent of Change.
.
(negative sign here means that the new price is less
than old price).
17) Choice A is correct
Let be the number of years. Therefore,
per year equals
starting from
annual salary means you should add that amount to
.
Income more than that is:
18) Choice D is correct
Use the information provided in the question to draw the shape.
Use Pythagorean Theorem:
19) Choice B is correct
The question is this:
is what percent of
?
.
of
is
. Therefore, the
discount is:
1
20) Choice A is correct
If the score of Mia was , therefore the score of Ava is . Since, the score
of Emma was half as that of Ava, therefore, the score of Emma is .
21) Choice D is correct
If
balls are removed from the bag at random, there will be one ball in the
bag. The probability of choosing a brown ball is out of . Therefore, the
probability of not choosing a brown ball is
out of 18 and the probability of
having not a brown ball after removing
balls is the same.
22) Choice C is correct
Let be the smallest number. Then, these are the numbers: ,
,
,
,
⇒
23) Choice C is correct
Use this formula: Percent of Change:
.
. The negative sign means that the price
decreased.
24) Choice D is correct
If the length of the box is , then the width of the box is one third of it, ,
and the height of the box is (one third of the width). The volume of the box
is:
25) Choice A is correct
Write a proportion and solve for the missing number.
26) Choice C is correct
Let be the number. Write the equation and solve for .
Multiply both sides by .
, then add both sides.
,
now divide both sides by .
27) Choice B is correct
The sum of supplement angles is
. Let be that angle. Therefore,
, divide both sides by
28) Choice C is correct
The average speed of john is:
:
, The average speed of Alice is:
Write the ratio and simplify.
29) Choice C is correct
Adding 6 to each side of the inequality
yields the inequality
. Therefore, the least possible value of
is 7.
30) Choice C is correct
The weight of
meters of this rope is:
, therefore,
31) Choice B is correct
of the volume of the solution is alcohol. Let be the volume of the
solution.
Then:
32) Choice B is correct
. The sum of the weight of all girls is:
The sum of the weight of all boys is:
.The sum of the
weight of all students is:
.
33) Choice D is correct
Let be the original price. If the price of a laptop is decreased by
to
, then:
⇒
⇒
34) Choice C is correct
Use simple interest formula:
. (I = interest, p = principal, r = rate, t =
time).
35) Choice D is correct
36) Choice D is correct
The formula of the volume of pyramid is:
The length and width of the pyramid is
Therefore:
37) Choice A is correct
Let be the integer. Then:
both sides by :
, Add
and its height is
both sides:
.
, Divide
38) Choice D is correct
To find the discount, multiply the number by
).Therefore, for the first discount we get:
For the next
discount:
.
39) Choice A is correct
Plug in each pair of number in the equation:
A.
B.
C.
D.
:
Only choice A is correct.
40) Choice C is correct
Plugin the values of and provided in the choices into both equations.
Let’s start with
:
A.
B.
C.
D.
Only choice C is correct.
.
41) Choice A is correct
If
, then find
by substituting
the function. This gives:
It
simplifies
for every
in
to:
42) Choice C is correct
First, find the equation of the line. All lines through the origin are of the
form
so the equation is
satisfies this equation:
. Of the given choices, only choice C
43) Choice C is correct
. Add like terms together:
,
, Combine these terms into one expression
doesn’t have like terms.
to find the answer:
44) Choice C is correct
Simplify and solve for
in the equation.
,
,
. Subtract
from both sides:
, Add to both sides:
,
45) Choice B is correct
Since
is a solution to the system of inequalities, substituting for
and for in the given system must result in two true inequalities. After this
substitution,
becomes
, and
becomes
Hence,
is positive and is negative.
Therefore,
46) Choice D is correct
47) Choice B is correct
The input value is . Then:
.
48) Choice B is correct
To solve this problem, first recall the equation of a line:
Where
.
Remember that slope is the rate of change that occurs in a function and that
the
intercept is the value corresponding to
.
Since the height of John’s plant is inches tall when he gets it. Time (or )
is zero. The plant grows inches per year. Therefore, the rate of change of the
plant’s height is . The
intercept represents the starting height of the plant
which is inches.
49) Choice C is correct
Multiplying each side of
by
gives
distributing the over the values within the parentheses yields
.
Therefore, the value of
.
,
or
50) Choice D is correct
Given the two equations, substitute the numerical value of into the second
equation to solve for
,
Substituting the numerical value for into the equation with is as follows.
, From here, distribute the 4.
Now square both side of the equation.
Remember to square both terms within the parentheses. Also, recall that
squaring a square root sign cancels them out.
,
,
,
CHSPE Math Practice Test 2
1) Choice C is correct
The difference of
the sum.
and
is
. Therefore,
should be subtracted from
,
2) Choice D is correct
For sum of :
and
, therefore we have
options.
For sum of :
and
and
we have
options. To get a sum of
or
for two dice:
.Since, we have
total number of options, the probability of getting a sum of and
is
out of
or
3) Choice D is correct
Use FOIL method.
4) Choice D is correct
To solve absolute values equations, write two equations.
could be
positive , or negative . Therefore,
,
. Find
the product of solutions:
5) Choice B is correct
The equation of a line in slope intercept form is:
. Solve for .
. The slope is .
The slope of the line perpendicular to this line is:
.
6) Choice C is correct
Plug in the value of and .
and
.
7) Choice D is correct
Use formula of rectangle prism volume.
8) Choice C is correct
9) Choice B is correct
The diagonal of the square is . Let
Theorem:
be the side. Use Pythagorean
The area of the square is:
10) Choice D is correct
Solve for the sum of five numbers.
The sum of numbers is
of numbers is
. If a sixth number
is added, then the sum
.
11) Choice B is correct
ratio of A:
ratio of B:
ratio of C:
ratio of D:
The maximum ratio is
.
12) Choice D is correct
First find percentage of men in city A and percentage of women in city C.
Percentage of men in city A
Find the ratio and simplify.
13) Choice C is correct
and percentage of women in city C
.
14) Choice D is correct
Jason needs an
average to pass for five exams. Therefore, the sum of
exams must be at lease
.The sum of
exams is:
The minimum score Jason can earn on his fifth and final test to pass is:
15) Choice B is correct
Isolate and solve for .
⇒
⇒
.Multiply both
sides by the reciprocal of the coefficient of . (
= ( ⇒
16) Choice B is correct
Use simple interest formula:
(
interest,
principal,
time).
rate,
17) Choice D is correct
Simplify.
=
18) Choice A is correct
Surface Area of a cylinder =
The radius of the cylinder is
inches and its height is
inches. Therefore, Surface Area of a
cylinder
19) Choice C is correct
Three times of
is
. One sixth of them cancelled their tickets.
One
sixth
of
equals
fans are attending this week.
20) Choice D is correct
The area of the square is
inches. Therefore, the side of the square is
square root of the area.
inches. Four times the side of the square is the perimeter:
21) Choice D is correct
, then
22) Choice D is correct
Use the information provided in the question to draw the shape.
Use Pythagorean Theorem:
23) Choice B is correct
Plug in
for and then solve for .
24) Choice A is correct
The width of the rectangle is twice its length. Let be the length. Then,
Perimeter of the rectangle is
. Length of the
rectangle is
meters.
25) Choice D is correct
of
of
numbers is
⇒ (average of
numbers)
⇒sum
, (average of
numbers
numbers)
is
⇒sum
.
,
average of numbers
26) Choice A is correct
First, find the number. Let be the number. Write the equation and solve
for .
of a number is
then:
⇒
,
of
is:
27) Choice D is correct
Solve for .
⇒
⇒
. The slope of the
line is .
28) Choice B is correct
the population is increased by
and
.
increase changes the
population to
of original population. For the second increase, multiply
the result by
.
percent of the population is increased
after two years.
29) Choice C is correct
The formula for the area of the circle is:
,The area is
.
Therefore:
⇒
, Divide both sides by :
⇒
.
Diameter of a circle is
radius. Then:
30) Choice D is correct
If
of
a
number
is
,
what
is
the
number:
31) Choice C is correct
Write a proportion and solve for .
32) Choice C is correct
The distance between Jason and Joe is
. Jason running at
and Joe is running at the speed of
.
Therefore, every hour the distance is
less.
33) Choice D is correct
The failing rate is
out of
=
,Change the fraction to percent:
.
percent of students failed. Therefore,
students passed the exam.
34) Choice D is correct
, then
percent of
35) Choice D is correct
Let be the width of the rectangle. Use Pythagorean Theorem:
Perimeter of the rectangle
36) Choice B is correct
The perimeter of the trapezoid is .herefore, the missing side (height) is
. Area of a trapezoid:
37) Choice D is correct
38) Choice D is correct
Use the information provided in the question to draw the shape.
Use Pythagorean Theorem:
39) Choice C is correct
Write the ratio of
simplify.
to
.
. Use cross multiplication and then
Now, find the ratio of to .
40) Choice A is correct
Plug in the value of in the equation and solve for .
41) Choice D is correct
Since
, substitute
Multiplying both sides of
both sides of
then,
.
42) Choice C is correct
for
in the equation
by
gives
which gives
and then adding
to
For any positive integers and . Thus,
43) Choice B is correct
The total number of pages read by Sara is (hours she spent reading)
multiplied by her rate of reading:
Similarly, the total number of pages read by Mary is
reading) multiplied by her rate of reading:
(hours she spent
the total
number of pages read by Sara and Mary is the sum of the total number of pages
read by Sara and the total number of pages read by Mary:
.
44) Choice D is correct
The initial deposit earns 2 percent interest compounded annually. Thus, at
the end of year 1, the new value of the account is the initial deposit of $150
plus 2 percent of the initial deposit:
.
Since the interest is compounded annually, the value at the end of each
succeeding year is the sum of the previous year’s value plus 2 percent of the
previous year’s value. This is equivalent to multiplying the previous year’s
value by 1.02. Thus, after 2 years, the value will be
; and after 3 years, the value will be
; and after years, the value will be
. Therefore, in the
formula for the value for Sara’s account after years
, the value of is
1.02.
45) Choice C is correct
First find the value of , and then find
Since
, substuting for
and
for
gives
. Solving this equation gives
Thus
,
,
46) Choice D is correct
Solving Systems of Equations by Elimination: Multiply the first equation
by
then add it to the second equation.
⇒
⇒
⇒
Plug in the value of into one of the equations and solve for .
⇒
⇒
⇒
47) Choice A is correct
Identify the input value. Since the function is in the form
and the
question asks to calculate
, the input value is four.
, Using the
function, input the desired value. Now substitute 4 in for every in the
function.
,
,
,
48) Choice D is correct
Frist factor the function:
, To find
the zeros,
should be zero.
, Therefore, the
zeros are:
,
⇒
,
⇒
49) Choice A is correct
First write the equation in slope intercept form. Add
. Now divide both sides by
to get
line is , so any line that also has a slope of
choice A has a slope of .
50) Choice D is correct
to both sides to get
. The slope of this
would be parallel to it. Only
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ATI TEAS 6 Mathematics Prep 2019: A Comprehensive Review and
Ultimate Guide to the ATI TEAS 6 Math Test
HSPT Mathematics Prep 2019: A Comprehensive Review and Ultimate
Guide to the HSPT Math Test
ACT Mathematics Prep 2019: A Comprehensive Review and Ultimate
Guide to the ACT Math Test
ISEE Middle Level Mathematics Prep 2019: A Comprehensive Review and
Ultimate Guide to the ISEE Middle Level Math Test
ISEE Upper Level Mathematics Prep 2019: A Comprehensive Review and
Ultimate Guide to the ISEE Upper Level Math Test
ISEE Lower Level Mathematics Prep 2019: A Comprehensive Review and
Ultimate Guide to the ISEE Lower Level Math Test
DAT Quantitative Reasoning Prep 2019: A Comprehensive Review and
Ultimate Guide to the DAT Math Test
GRE Math Prep 2019: A Comprehensive Review and Ultimate Guide to the
GRE Math Test
TASC Mathematics Prep 2019: A Comprehensive Review and Ultimate
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SAT Math Prep 2019: A Comprehensive Review and Ultimate Guide to the
SAT Math Test
SHSAT Mathematics Prep 2019: A Comprehensive Review and Ultimate
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THEA Mathematics Prep 2019: A Comprehensive Review and Ultimate
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ACT Aspire Grade 3 Mathematics: A Comprehensive Review and Ultimate
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ACT Aspire Grade 5 Mathematics: A Comprehensive Review and Ultimate
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ACT Aspire Grade 6 Mathematics: A Comprehensive Review and Ultimate
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ACT Aspire Grade 8 Mathematics: A Comprehensive Review and Ultimate
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TABE Math Prep 2019: A Comprehensive Review and Ultimate Guide to
the TABE Math Test
CLEP College Mathematics Prep 2019: A Comprehensive Review and
Ultimate Guide to the CLEP College Mathematics Test
GED Math Tutor: Everything You Need to Help Achieve an Excellent
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ALEKS Math Prep 2020: A Comprehensive Review and Step-By-Step
Guide to Preparing for the ALEKS Math Test
Prepare for the ALEKS Math Test in 7 Days: A Quick Study Guide with
Two Full-Length ALEKS Math Practice Tests
ASTB Math Prep 2020: A Comprehensive Review and Ultimate Guide to
the ASTB-E Math Test
Ace the ACT Math in 30 Days: The Ultimate Crash Course to Beat the
ACT Math Test
Ace the SAT Math in 30 Days: The Ultimate Crash Course to Beat the SAT
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Prepare for the OAR Math Test in 7 Days: A Quick Study Guide with Two
Full-Length OAR Math Practice Tests
Prepare for the PERT Math Test in 7 Days: A Quick Study Guide with Two
Full-Length PERT Math Practice Tests
Ace the ASVAB Math in 30 Days: The Ultimate Crash Course to Beat the
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Prepare for the TExES Core Subjects EC-6 Mathematics Test in 7 Days: A
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HSPT Math Tutor: Everything You Need to Help Achieve an Excellent
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Ace the Praxis Core Math in 30 Days: The Ultimate Crash Course to Beat
the Praxis Core Math (5733) Test
Prepare for the GED Math Test in 7 Days: A Quick Study Guide with Two
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Ace the GED Math in 30 Days: The Ultimate Crash Course to Beat the
GED Math Test
Ace the ATI TEAS 6 Math in 30 Days: The Ultimate Crash Course to Beat
the ATI TEAS 6 Math Test
ASVAB Math Prep 2020: A Comprehensive Review and Step-By-Step
Guide to Preparing for the ASVAB Math Test
Ace the HiSET Math in 30 Days: The Ultimate Crash Course to Beat the
HiSET Math Test
Ace the TASC Math in 30 Days: The Ultimate Crash Course to Beat the
TASC Math Test
Ace the ISEE Upper Level Math in 30 Days: The Ultimate Crash Course to
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ACCUPLACER Next Generation Math Prep 2020: A Comprehensive
Review and Step-By-Step Guide to Preparing for the ACCUPLACER Next
Generation Math Test
ALEKS Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the ALEKS Math Test
TSI Math Prep 2020-2021: The Most Comprehensive Review and Ultimate
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ISEE Upper Level Math Tutor: Everything You Need to Help Achieve an
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SSAT Middle Level Math Tutor: Everything You Need to Help Achieve an
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Ace the HSPT Math in 30 Days: The Ultimate Crash Course to Beat the
HSPT Math Test
Ace the ISEE Middle Level Math in 30 Days: The Ultimate Crash Course
to Beat the ISEE Middle Level Math Test
TExES Core Subjects EC-6 Math Tutor: Everything You Need to Help
Achieve an Excellent Score
Ace the STAAR 8 Math in 30 Days: The Ultimate Crash Course to Beat the
STAAR 8 Math Test
CLEP College Mathematics Tutor: Everything You Need to Help Achieve
an Excellent Score
Prepare for the SSAT Upper Level Math Test in 7 Days: A Quick Study
Guide with Two Full-Length SSAT Upper Level Math Practice Tests
TABE 11 & 12 Math Tutor: Everything You Need to Help Achieve an
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TASC Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the TASC Math Test
HiSET Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the HiSET Math Test
Prepare for the HiSET Math Test in 7 Days: A Quick Study Guide with
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SSAT Upper Level Math Prep 2020-2021: The Most Comprehensive
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Ace the TABE 11 & 12 Math Level D in 30 Days: The Ultimate Crash
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ATI TEAS 6 Math Prep 2020: A Comprehensive Review and Step-By-Step
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HiSET Math Tutor: Everything You Need to Help Achieve an Excellent
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ACT Math Prep 2020: A Comprehensive Review and Step-By-Step Guide
to Preparing for the ACT Math Test
AFOQT Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the AFOQT Math Test
ASTB Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the ASTB Math Test
PERT Math Tutor: Everything You Need to Help Achieve an Excellent
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Praxis Core Math Tutor: Everything You Need to Help Achieve an
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SHSAT Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the SHSAT Math Test
TABE Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the TABE Math Test
ASVAB Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the ASVAB Math Test
DAT Quantitative Reasoning Tutor: Everything You Need to Help Achieve
an Excellent Score
PERT Math Prep 2020: A Comprehensive Review and Step-By-Step Guide
to Preparing for the PERT Math Test
TSI Math Tutor: Everything You Need to Help Achieve an Excellent Score
Ace the ASTB Math in 30 Days: The Ultimate Crash Course to Beat the
ASTB-E Math Test
CHSPE Math Tutor: Everything You Need to Help Achieve an Excellent
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OAR Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the OAR Math Test
ISEE Middle Level Math Prep 2020-2021: The Most Comprehensive
Review and Ultimate Guide to the ISEE Middle Level Math Test
ATI TEAS 6 Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the ATI TEAS 6 Math Test
OAR Math Prep 2020: A Comprehensive Review and Ultimate Guide to the
OAR Math Test
Ace the TExES Core Subjects EC-6 Mathematics in 30 Days: The Ultimate
Crash Course to Beat the TExES Math Test
TExES Core Subjects EC-6 Mathematics (802) Prep 2020-2021: The Most
Comprehensive Review and Ultimate Guide to the TExES Math Test
Prepare for the Praxis Core Math Test in 7 Days: A Quick Study Guide with
Two Full-Length Praxis Core Math (5733) Practice Tests
AFOQT Math Tutor: Everything You Need to Help Achieve an Excellent
Score
Praxis Core Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the Praxis Core Math (5733) Test
CHSPE Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the CHSPE Math Test
DAT Quantitative Reasoning Prep 2020-2021: The Most Comprehensive
Review and Ultimate Guide to the DAT Quantitative Reasoning Test
Prepare for the TASC Math Test in 7 Days: A Quick Study Guide with Two
Full-Length TASC Math Practice Tests
FTCE Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the FTCE General Knowledge Math Test
Ace the SSAT Upper Level Math in 30 Days: The Ultimate Crash Course to
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Pre-Algebra Tutor: Everything You Need to Help Achieve an Excellent
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Ace the SIFT Math in 30 Days: The Ultimate Crash Course to Beat the
SIFT Math Test
ISEE Middle Level Math Tutor: Everything You Need to Help Achieve an
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PSAT / NMSQT Math Prep 2020: A Comprehensive Review and Step-ByStep Guide to Preparing for the PSAT Math Test
STAAR Grade 8 Math Tutor: Everything You Need to Help Achieve an
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FTCE General Knowledge Math Tutor: Everything You Need to Help
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OAR Math Tutor: Everything You Need to Help Achieve an Excellent
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SIFT Math Tutor: Everything You Need to Help Achieve an Excellent
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HSPT Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the HSPT Math Test
Prepare for the ACCUPLACER Next Generation Math Test in 7 Days: A
Quick Study Guide with Two Full-Length ACCUPLACER Math Practice
Tests
Prepare for the ACT Math Test in 7 Days: A Quick Study Guide with Two
Full-Length ACT Math Practice Tests
ISEE Upper Level Math Prep 2020-2021: The Most Comprehensive
Review and Ultimate Guide to the ISEE Upper Level Math Test
Prepare for the HSPT Math Test in 7 Days: A Quick Study Guide with Two
Full-Length HSPT Math Practice Tests
Prepare for the ISEE Upper Level Math Test in 7 Days: A Quick Study
Guide with Two Full-Length ISEE Upper Level Math Practice Tests
STAAR Grade 8 Math Prep 2020-2021: The Most Comprehensive Review
and Ultimate Guide to the STAAR Math Test
Prepare for the DAT Quantitative Reasoning Test in 7 Days: A Quick Study
Guide with Two Full-Length DAT Quantitative Reasoning Practice Tests
Prepare for the AFOQT Math Test in 7 Days: A Quick Study Guide with
Two Full-Length AFOQT Math Practice Tests
Prepare for the ASVAB Math Test in 7 Days: A Quick Study Guide with
Two Full-Length ASVAB Math Practice Tests
Ace the ACCUPLACER Next Generation Math in 30 Days: The Ultimate
Crash Course to Beat the ACCUPLACER Math Test
Ace the ALEKS Math in 30 Days: The Ultimate Crash Course to Beat the
ALEKS Math Test
PERT Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the PERT Math Test
GED Math Prep 2020: A Comprehensive Review and Step-By-Step Guide
to Preparing for the GED Math Test
HSPT Math Prep 2020: A Comprehensive Review and Step-By-Step Guide
to Preparing for the HSPT Math Test
TASC Math Prep 2020: A Comprehensive Review and Step-By-Step Guide
to Preparing for the TASC Math Test
Pre-Algebra Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the Pre-Algebra Test
ISEE Middle Level Math Prep 2020: A Comprehensive Review and StepBy-Step Guide to Preparing for the ISEE Middle Level Math Test
SIFT Math Prep 2020-2021: The Most Comprehensive Review and
Ultimate Guide to the SIFT Math Test
SSAT Upper Level Math Prep 2020: A Comprehensive Review and StepBy-Step Guide to Preparing for the SSAT Upper Level Math Test
CLEP College Algebra Prep 2020: A Comprehensive Review and Step-ByStep Guide to Preparing for the CLEP College Algebra Test
Ace the TSI Math in 30 Days: The Ultimate Crash Course to Beat the TSI
Math Test
Prepare for the TSI Math Test in 7 Days: A Quick Study Guide with Two
Full-Length TSI Math Practice Tests
TSI Math Prep 2020: A Comprehensive Review and Step-By-Step Guide to
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STAAR Grade 8 Math Prep 2020: A Comprehensive Review and Step-ByStep Guide to Preparing for the STAAR Math Test
Prepare for the PSAT / NMSQT Math Test in 7 Days: A Quick Study Guide
with Two Full-Length PSAT Math Practice Tests
Ace the PSAT Math in 30 Days: The Ultimate Crash Course to Beat the
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OceanofPDF.com
About the Author
Reza Nazari is the author of more than 100 Math learning books including:
– Math and Critical Thinking Challenges: For the Middle and High
School Student
– GRE Math in 30 Days
– ASVAB Math Workbook 2018 – 2019
– Effortless Math Education Workbooks
– and many more Mathematics books …
Reza is also an experienced Math instructor and a test–prep expert who
has been tutoring students since 2008. Reza is the founder of Effortless
Math Education, a tutoring company that has helped many students raise
their standardized test scores––and attend the colleges of their dreams. Reza
provides an individualized custom learning plan and the personalized
attention that makes a difference in how students view math.
OceanofPDF.com
About the Publisher
OceanofPDF.com
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