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1. Evaluate the expression if x = 8, y = 3, and z = -2
𝑥3
2𝑦𝑧 − 3
3
2.
8 √432
3
√8
In simplest radical form, the expression shown is equal to -
3. Evaluate the expression.
2(8) + |−4|
−2
4. What is the value of |𝑥 2 ÷ 𝑧 − 𝑦| + 𝑧 when x = 6, y = 14, and z = 3?
5. Which is a simplified form of the following expression where y≠ 0?
3
𝑥2
( 4)
𝑦
Opt
1
(
𝑥6
)
𝑦12
Opt
3
𝑦
( 6)
𝑥
Opt
2
(
𝑥5
)
𝑦17
Opt
4
(
6. Identify each expression that is equivalent to
(3x6y-12)2(4y-3)
(6x3y-6)2(x2y-1)
(2x2y-6)2(3x2y-1)2
(9x6y-5)2(2x-4y-3)
36𝑥 8
𝑦 13
.
(3x4y-5)2(4y-3)
𝑦7
)
𝑥5
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7. Which is a factor of 10x2 + 40xy + 30y2
Opt
1
Opt
2
Opt
3
Opt
4
(x + 3y)
(x – y)
(10x – 30y)
(10x + y)
8. What are the factors of the polynomial graphed?
Opt
1
(x – 2)(x + 2)
Opt
3
(x – 4)(x- 4)
Opt
2
(x + 2)(x + 2)
Opt
4
(x + 4)(x + 4)
√𝑏 7 𝑑4
9.
Written in simplest radical form, the expression shown is equal to –
𝑏 6 𝑑2 √𝑏
𝑏 3 𝑑2 √𝑏
𝑏 5 𝑑2 √𝑏 2 𝑑2
𝑏 3 𝑑2 √4𝑑2
10. Which expression is equivalent to 17√2?
3
3
√136
3
√578
3
√19,652
3
√9,826
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11. Which expression can be placed under the radical symbol to make this statement
true?
√96𝑥 3 𝑦 9 = 4𝑥 4 𝑦 4 √
12. What is √40 written in simplest radical form?
4√10
2√5
10√2
2√10
13. What is the solution for h in the following equation?
𝜋𝑟 2
𝑉
3𝑉
ℎ=
𝜋𝑟 2
3𝑉𝜋
𝑟2
𝑉
ℎ=
3𝜋𝑟 2
ℎ=
ℎ=
14. Consider the formula:
𝑅=
2𝐺𝑀
𝑐2
Identify equivalent formulas.
M=
𝑅𝑐 2
2𝐺
C=
2𝐺𝑀
𝑐2
G=
𝑅𝑐 2
2𝑀
15.
Opt 1
Step 2 and Step 3
Opt 3
Step 6 and Step 7
Opt 2
Step 1 and Step 2
Opt 4
Step 5 and Step 6
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16. Identify each equation with a solution set of {-2, 3}.
x2 -5x + 6 = 0
(x + 2)(x – 3) = 0
x2 + x – 6 = 0
(x – 2)(x + 3) = 0
x2 – x – 6 + 0
x2 + 5x + 6 = 0
17. Which graph shows the solution to the equation x2 – 5x + 6?
a.
c.
b.
d.
18. Which is the solution for the following equation?
6(x + 5) + 2 = 8(2x – 5) + 22
5
4.8
-5
3
19. According to the equation graphed, what is the
solution for x when y = 0?
{-2}
{1}
{-1}
{2}
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20. What is the solution to the system of equations shown in
the coordinate plane above?
(-4, -2)
(-2, 4)
(4, -2)
(0, 2)
21.
All Real
Numbers
(9, 2)
No Solution
(-3, -4)
22. Mark and John work the same amount of hours babysitting and tutoring. Mark gets
paid $6 per hour for babysitting and $15 an hour tutoring. He makes $150 in one
week. John Makes $10 an hour babysitting and $8 an hour tutoring and gets paid a
total of $114. How many hours were spent babysitting and tutoring?
a. 8 babysitting and 5 tutoring
b. 5 babysitting and 5 tutoring
23. Match the inequality with the graph.
c. 5 babysitting and 7 tutoring
d. 5 babysitting and 8 tutoring.
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24. Match the properties that justify the work between Step 1 and Step 4.
Addition property of inequality
Commutative property of addition
Inverse property of multiplication
Multiplication property of inequality
Identity property of addition
Inverse property of addition
25. Owen has a budget of $20 to buy treats for his classmates. At the store there are
candy bars for $1.5 and packs of gum for $1.25. Which of the following combinations
of candy bars and gum is possible considering Owen’s budget?
a.
b.
26.
5 candy bars and 9 packs of gum
7 candy bars and 8 packs of gum
c.
d.
2 candy bars and 14 packs of gum
11 candy bars and 3 packs of gum
Which system of inequalities is represented in the graph?
2𝑥 − 𝑦 ≤ −3
{
4𝑥 + 3𝑦 > −6
2𝑥 − 𝑦 ≥ −3
{
4𝑥 + 3𝑦 > −6
𝑦 ≤ 2𝑥 + 3
𝑦 < −4𝑥 − 2
𝑦 ≥ −2𝑥 + 3
{
𝑦 > −3𝑥 − 2
{
27. What system of inequalities does (3, -6) satisfy?
𝑦 > 2𝑥 + 1
𝑦 < −5𝑥 + 7
𝑦 < 2𝑥 + 1
{
𝑦 > −5𝑥 + 7
{
𝑦 < 2𝑥 + 1
{
𝑦 < −5𝑥 + 7
𝑦 > 2𝑥 + 1
{
𝑦 > −5𝑥 + 7
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28. Look at the information in the table.
Which line has a slope of 5?
a.
b.
c.
d.
Line
Line
Line
Line
#1
#2
#3
#4
29. Which is an equation for the line that passes through the points (-3, -6) and (5, 10)?
a. y = 5x
b. y = -6x
c. y = ½ x
d. y = 2x
30. Put an X next to each true statement. You must select all correct statements.
y = 6x + 3 has a slope of 6 and passes through the point (-2, -9)
y = -2x – 4 has a slope of -2 and passes through the point (-1, -6)
4x – 5y = 35 has a slope of 4/5 and passes through the point (10, 1)
X + 3y = 12 has a slope of 1/3 and passes through the point (-3, 5)
31. The following set of ordered pairs is a function.
{(1, 4), (3, 12), (-3, -12), (-7, 4)}
Put a check in each box that contains an ordered pair that can be added to the set and
the set still remains a function.
(4, 12)
(12, -7)
(1, 12)
(-7, -3)
(-3, 4)
(-1, 4)
32. Which function has the range {y: y≥ 0}?
f(x) = x2 + 2x + 2
f(x) = -x2 + 2x + 1
f(x) = x2 + 2x + 1
f(x) = -x2 + 2x + 2
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33. What are the x— and y—intercepts of the graph?
a.
b.
c.
d.
The
The
The
The
x
x
x
x
–
–
–
–
intercept is 3 and the y – intercept is 1
intercept is -3 and the y – intercept is 1
interctept is -3 and the y – intercept is -1
intercept is -1 and the y – intercept is -3
34. If f(1) = 5, which could be the equation for f(x)?
a.
b.
c.
d.
3x2
3x2
3x2
3x2
– 14x – 8
+ 10x – 8
+ 14x + 8
– 10x – 8
35. Which is a zero of the following function?
f(x) = 3x2 + 14x + 15
a. -3
b. 3
c.
5
/3
d. -4
36. Which is an equation for the inverse variation that includes the given data?
a.
b.
c.
d.
y
y
y
y
= 15x
= x/15
=x+2
= 15/x
37. The speed you run is inversely proportional to the time it takes to travel a specific
distance. You run 6 miles per hour and it takes you 1½ hours to get from your
house to the park. Which equation represents this relationship
a. y = 4x
b. y = x/9
c. y = ¼ x
d. xy = 9
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38. Which one of the following graphs shows a direct variation?
a.
c.
b.
d.
39. The money Tom earns varies directly with the number of cans he collects. He earns
$14.50 for collecting 20 cans. Which graph represents the money he earned for
collecting cans?
a.
c.
b.
d.
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40. Carl recorded the ages of the employees at his company in the stem-and-leaf plot
shown.
What is the approximate variance and standard deviation of the data set?
a. Variance = 57.94, standard
deviation= 4.15
b. Variance = 57.94, standard
deviation = 7.61
c. Variance = 17.22, standard
deviation = 4.15
d. Variance = 51.6, standard
deviation = 7.18
41.Jim supervises a company that creates questions for educational organizations. He
has recorded the amount of questions relaeased by the company on a daily basis for
a 15 – day period.
Which of the following is a true statement?
a. The standard deviation of the
data set is less than the mean
absolute deviation
b. The standard deviation of the
data set is equal to the mean
absolute deviation.
c. The standard deviation of the
data set is larger than the mean
absolute deviation.
d. The standard deviation of the
data set is twice the value of the
mean absolute deviation.
42. An elementary school had a fundraiser and the amount of items that each student
sold is recorded in the histogram below. The mean amount of items sold is 49.1, and
the standard deviation of the data is 23.8 items.
On the histogram, which intervals may have data points within a .25 standard
deviation of the mean?
a. {15 – 29, 30 – 44}
b. {15 – 29, 30-44, 45 – 59}
c. {30 – 44, 45 – 59}
d. {30 – 44, 45 – 59, 60 – 74}
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43. Given a data set with a standard deviation of 18.0, a mean of 42.0 and a z-score of
1.6, what is the value of the element associated with the z – score?
a. 13.2
b. 28.8
c. 67.2
d. 70.3
44. Susan listed her quiz scores for the first quarter of her science class.
73, 78, 65, 95, 84, 89, 80, 98, 100, 82
Which box – and – whisker plot correctly displays the information?
a.
c.
b.
d.
45. The number of songs that students in three different classes downloaded in a week
ranged as shown below.
From the representations shown, which of the following is NOT true?
a.
b.
c.
d.
At least 50% of
At least 25% of
More than 25%
More than 50%
class.
the students in
the students in
of the students
of the students
each class downloaded 30 songs or less
each class downloaded at least 30 songs
in each class downloaded more than 30 songs
downloaded more than 15 songs in Mr. Bradley’s
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46. Which statement is not true about the box and whisker plots?
a. The percent of data from the lower quartile to the median is 25% for both the
girls and boys.
b. The boys have a larger median than the girls.
c. The low extreme is the same for both the girls and boys.
d. A female student in the class sends 960 text messages in one month.
47. The scatter plot shows the relationship between dog years and human years.
Which is closest to the minimum
age of a dog to be at least 60
human years of age?
a.
b.
c.
d.
7
8
9
10
48.
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The table below shows the relation between the number of members in a club
selling plants and the predicted number of plants sold.
a. 19
b. 31
c. 98
d. 143
49. The points in the table lie on the graph of a linear function.
Which could be the curve of best fit?
a.
b.
c.
d.
y
y
y
y
=
=
=
=
x+5
-x – 5
x–5
-x + 5
50. Carrie researched the relationship between the amount of math problems she solves
and the number of mistakes. Her data is shown in the scatterplot.
Using the curve of best fit, approximately how many mistakes could be made when
solving 95 math problems?
a.
95
b. 116
c. 120
d. 134