Algebra Ready Benchmark Test Form C Practice Test

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Algebra Ready Benchmark Test Form C Practice Test
Show ALL work or you will receive no credit. Solve all equations in steps showing ALL steps.
Circle your answers.
1.
3 1 1
   
12  2 3 
2.
When do you need a common denominator?
3.
11 3
 
12 8
4.
2
  
3
3
5.
Shaquita rides her bike at 15 miles per hour. If 1 mile equals 5,280 feet, how many feet per minute can she
ride?
6.
Write an example of the additive inverse property of addition.
7.
Ricardo wanted to buy a new computer for $700. He found one online at a 33% discount. How much did he
have to pay for the computer?
8.
Alyssa received $2000 for babysitting all summer. She put it in the credit union at 4% interest for a year. How
much money did she make in interest, and how much money does she have in the bank at the end of the year?
9.
Vincent sold $3000 worth of phones and accessories today at Ontario Mills. If he receives a 15% commission,
how much money does he make?
10.
4 3

48
11.
Make a math sentence out of the following: twice the difference of a number and 12 is 11.
12.
Simplify
13.
| 234 | 2 
14.
Write the number 54,378,21 in scientific notation.
15.
Why can’t an absolute value be negative?
16.
a.
What is the mean of the set of numbers 2, 4, 8, 12, 20?
b.
What is the median of the set of numbers 2, 4, 8, 12, 20?
17.
3(7  12) 2
Give an example of the distributive property of multiplication over addition.
18.
Chunky Cheezy software company recorded sales for the first 16 weeks of the year. Make a line graph showing
the sales figures using the table below.
Week #
2
4
6
8
10
12
14
16
Sales (in
millions)
3
3.5
2
3
5
5.5
6
7
14
12
Dollars
10
(in millions)
8
6
4
2
2
4
6
8
10
12
14
Week Number
19.
Mr. Aday worksfor 14 hours out of each 24 hours in the day. What percentage of the day does he work, and
what percentage does he not work?
20.
Write an example of the associative property of multiplication.
21.
Evaluate
22.
Expand
c3  c 2  c if c = 2.
5c 2 k 3
x  11  3 .
23.
What is the value of x if
Show all work in steps going down the paper.
24.
Bettikina watched her neighbor’s cats while they were on vacation. She earned $15 a day and made $105. How
many days did she pet sit?
25.
Find the area and perimeter of the figure below.
6
3
1
5
4
14
26.
A rectangular garden pictured below has a 3 foot wide sidewalk going all around it. What is the area of the
garden, and what is the area of the sidewalk?
16’
4’
27.
The rectangle below is cut in half. What is the area of half of the rectangle?
7
12
3’ Sidewalk
3x  16  11
28.
Solve
Show All steps going down the page.
29.
Find the solution set of the inequality
30.
Find the value of
31.
Bacteria are increasing at the same rate each hour. What is that rate? Use the table to record your findings.
3x  13  11.
Show ALL steps going down the page.
(7  32  4)2 .
16
Hours
# Bacteria
1
1
14
Number of
Bacteria
Present
12
10
8
6
4
2
2
4
6
8
10
12
14
Hours
32.
Mutt drove his Mustang for 3 hours at 65 miles per hour. Jeff drove his Camaro for 4 hours at 50 miles per hour.
How far did they both drive, and what was the average speed for both cars?
33.
Jabari wants to pay $2800 for professional wrestling lessons. If his summer job pays $8.00 an hour, how many
hours will he have to work to pay for the lessons?
34.
Ashley runs the 1st mile in 6 minutes, then can only run the rest of the miles in 8 minutes each. How long would
it take her to run 10 miles?
35.
Jack can dye 4 eggs in 2 hours, and Jill can dye 6 eggs in 4 hours. How many eggs can they both dye in 8 hours?
36.
What is the coefficient of
37.
Write a math sentence showing that Buela is 7 years younger than Leland.
38.
Change the decimal .8 into a fraction.
39.
If it takes 2 gallons of soda to serve 6 students, how many gallons of soda would be needed for 9 students?
40.
A $70 cell phone is marked down to $40. What is the percent of savings?
41.
Change
2
to a decimal.
3
4 x2  9 ?
42.
Find the length of the hypotenuse, or longest side, of the triangle using the Pythagorean Theorem.
8
6
?
43.
Find the slope and y-intercept of the line below.
y
4
2
x
0
-6
-4
-2
0
2
4
6
-2
-4
44.
Find the length of the rectangle below.
10
6
?
45.
Find the minimum, maximum, median, mode, and mean of the following set of numbers.
{2, 5, 6, 6, 8, 10, 12]
Minimum _____
Maximum _____ Median ______ Mode ______ Mean ______
46.
What is the median price of the swimsuits listed in the table below?
$20
$32
$11
$15
$16
$18
$30
m6 m 2

3
9
47.
Simplify
48.
Simplify
49.
On a map, the distance from Colton to Palm Springs is 7 inches. If the map has a scale of 1 inch = 10 miles, how
far away is Palm Springs?
50.
In the quadratic equation
51.
Find the prime factors of 144.
52.
What is the mean of the set of data {3, 6, 9, 12, 4, 2}?
24 3

32 23
y  3x 2  2 x  1 , does the parabola open up or down?
Why?
53.
In the cafeteria, you can order several different combinations of food. You have a choice of 3 main courses, 2
side items, and 3 desserts. How many possible combinations of meals are there?
Main Course
Side Items
Dessert
Pizza
Salad
Ice Cream
Corn Dog
French Fries
Fruit
Vegetable Plate
Granola Bar
54..
On the circle below, make a circle graph showing that 25% of the time is spent being active and 75% of the time
is spent sitting down.
55.
IF Maritza rolls one six-sided die, what is the probability that she rolls an odd number?
56.
Make a line graph below showing that the cost for each person for admission to Scandia is $10.
140
120
100
Price
80
60
40
20
2
4
6
8
Number of People
10
12
14
57.
In the grid below, where would the other 2 points be to make a 20 square unit rectangle?
y
4
2
x
0
-6
-4
-2
0
-2
-4
2
4
6
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