Algebra Ready & 7th Grade Math Benchmark Practice Test 09-10 Version B
1. Simplify
3 1 1
    . (Standard NS 1.2*)
4 3 2
2. Simplify
3
 9 .(Standard NS 1.2*)
4
3. Simplify
3 11
 . (Standard NS 2.2*)
4 12
3
3
4. Simplify   . (Standard NS 2.3*)
4
5. How many centimeters are in 4000 millimeters? (Standard MG 1.1)
6. Which property is used in each example? (Standard AF1.3*)
a. 3  4  5  4  3  5 ______________________________________________
b. (3  4)  5  3  (4  5) ___________________________________________
c. 5(3  4)  (5  3)  (5  4) __________________________________________
7. Melinda Melody bought a MP3 player on sale for 40% off the original price. If the CD player
originally cost $99.00, what is the amount of discount and the sale price? (Standard NS 1.7*)
a. Discount ____________
b. Sale price ____________
8. Showmey Damoney put $1000 in the credit union and left it there for 1 year. If he earned 5%
interest on his money, how much interest will he earn, and how much will be in his account at
the end of 1 year? (Standard NS 1.7*)
a. Interest earned _____________
b. Amount in account ______________
9. Ima Houseseller earns a 3% commission for selling a house. If he sells a house for $120,000,
what is his commission? (Standard NS1.7*)
74
10. Simplify 3 . (Standard NS2.1)
7
11. Write the equation below that represents 8 less than a number n is 14. (standard AF1.1*)
12. Simplify the following expression using the correct Order of Operations (PEMDAS).
(Standard AF1.2*)
(7  3)2  6  5
13. Simplify - |-8|. (Standard NS 2.5*)
14. Write the number 670,000 in scientific notation. (Standard NS1.1)
15. Put these values in order from least to greatest. |13|
(Standard NS2.5*)
-|5|
-|-8|
|9|
|-12|.
16. What is the mean, median, mode, minimum, and maximum of the following values?
56 34 45 56 23 8 (Standard SDAP1.1)
17. Write an example of the properties below. (Standard AF1.3*)
a. Associative Property of Addition ___________________________________________
b. Commutative Property of Multiplication ______________________________________
c. Distributive Property of Multiplication over Subtraction __________________________
d. Inverse Property of Multiplication ____________________________________________
e. Identity Property of Multiplication ___________________________________________
18. Harry Leggs rides his scooter at a steady speed of 10 miles per hour. Record his progress for
the first 5 hours of his ride on the line graph below. (Standard AF1.5*)
50
40
Miles
30
20
10
1
2
Hours
3
4
5
19. Sheeza Beyer bought a new pair of shoes on sale. The regular price was $35.00, but she had a
coupon for 35% off. Write an equation first, then solve for the amount she paid.
(Standard NS1.3)
a. Equation ____________________________
b. Amount of Discount ____________________
c. Amount Paid __________________________
20. Give an example of the Associative Property of Multiplication. (Standard AF1.3*)
21. If k = 4, what is k  k  k ? (Standard AF2.0*)
2
3
3
22. What are the prime factors of 6z ? (Standard AF2.1*)
23. If m  13  27 , what does m equal? Show all work in steps. (Standard AF4.1*)
24. Winnifred Watchmee made $108 babysitting for her neighbor last month. If she earned $9.00
an hour, how many hours did she work? Write an equation and solve in steps. (Standard
AF4.2*)
25. What is the area and perimeter of the side of the stairs in the figure below? (Standard MG2.2)
a.
Area ____________________
b. Perimeter _________________
12 inches
12 inches
12 inches 12 inches
26. What is the area of the trapezoid below? Use the formula A  12 h(b1  b2 ) or
A
h(b1  b2 )
(Standard MG2.1*)
2
11 in
9 in
9 in
13 in
27. What is the area of the shaded part of the rectangle below? (Standard MG2.1*)
14 in
20 in
28. The class needs $75.00 for a class celebration. Students have already brought in $20. If 11
more students pay their share, how much does each student need to bring in? (Standard
AF4.1*)
Use the equation 11d  20  75 to help you solve the problem.
29. What is the value of w if 7 w  14  35 . (Standard AF4.1*)
30. Evaluate (4  3  8) . (Standard 7AF1.2)
3
2
31. The H1N1 virus count is increasing at a steady rate each hour. How fast are the viruses
increasing? (Standard PS1.2*)
5
4
Hours
3
2
1
5
10
15
20
25
Number of Viruses Present
32. Jack and Jill ran up the hill at 6 miles per hour for 4 hours. They ran back down the hill at 8
miles per hour for 3 hours. How far did they run in all? (Standard AF4.1*)
33. Cameron wants to open a business selling MyFace and Spacebook web pages. If he borrows
$3200 and sells his pages for $60 each, how many pages does he need to sell to pay back the
money he owed, assuming he doesn’t have to pay any interest? (Standard AF4.2*)
34. Jeannie can skate 1 mile in 4 minutes for the first mile, then can only skate 1 mile in 10
minutes. How long would it take for her to skate 16 miles? (Standard MG1.3*)
35. Gravity exerts a force of about 15 pounds of pressure per square inch of surface area at sea
level. How much pressure is exerted on a hand that is approximately 4 by 6 inches?
(Standard MG1.3*)
36. The value of the 88 is between what 2 integers? (Standard NS2.4)
37. Wally is 5 years more than 3 times Talley’s age. If Talley is 8, how old is Wally?
(Standard 7AF1.1)
38. Write 3.34 as an improper fraction. (Standard NS1.5*)
39. If it takes 99 person-hours to paint the house, and the foreman assigns 6 workers to do the
painting, how many hours will it take to finish the job? (Standard MG1.3*)
40. The $150 snow skiis were reduced to $105. What is the percentage of discount?
(Standard NS1.6)
41. What is
32
written as a decimal? (Standard NS1.3)
1000
42. What is the length of side c, the longest side of a right triangle? (Standard MG3.3*)
6
8
43. What is the slope of the line in the graph below? (Standard AF3.3*)
y
6
4
2
x
0
-6
-4
-2
0
2
4
6
-2
-4
-6
44. Find the length of the rectangle below if the width is7 feet and the diagonal is 25 feet.
(Standard MG3.3*)
7 feet
25 feet
45. What is the minimum, mode, and maximum of the set of numbers below? (Standard PS1.3*)
{23, 125, 65, 77, 23, 14}
Home #
1
2
3
4
5
Price
$144,000
$250,000
$300,000
$186,000
$100,000
46. What is the median price of homes in Colton, according
to the table below?
47.
m2 24


8 m5
48. Simplify 8  8
3
(Standard AF2.2)
5
(Standard NS2.3*)
49. On the map, the distance form Colton to Yucaipa is 2.5 inches. If each inch in the map equals
3 miles, how far is the real distance form Colton to Yucaipa? (Standard MG1.2)
50. What is the equation of the graph below in slope-intercept form? (Standard AF3.1)
y
6
4
2
x
0
-6
-4
-2
0
2
4
6
-2
-4
-6
51. Skip
52. Find the mean of the set of data. (Standard SDAP1.1)
{1, 6, 17, 23, 5, 11}
53. If you put 3 green M&M’s and 2 blue M&M’s in a covered jar, then reach in your hand to pull
one out, what is the probability that you will pick a blue M&M? (Standard SDAP3.1*)
54.
55. Montegard rolls a die. What is the probability that he rolls a prime number? (Standard 3.3*)
56. Tickets to the fair cost $5 each. Make a line graph below that shows the cost for the first 8
people. (Standard AF3.4)
7
6
5
People
4
3
2
1
5
10
15
20
25
Money in Dollars
57.
30
35