Math 7
Unit 2: Expressions and Equations
1. Describe how to simplify expressions
Name ___________________________________
Date _______________
6. Solve & graph: 3x  12  27
7. Solve & graph: 3x  5  16
2. Simplify:
1
(4a  2b)  5(3a  b)
2
8. Write the following statement as an algebraic equation:
“Five more than the product of a number and four is
equal to three less than the number.”
3. Simplify: 7  3(2x  5)  4 x
9. Seven less than three times a number is 44. What is that
number?
4. Solve: 2  6 x  55
10. To play in the bouncy castle at the school carnival, one
must be shorter than 50 inches tall. Write an inequality
to represent h, the required height to play in the bouncy
castle.
5. Solve: 9.5x  2  30.5
Use the diagram at the right for questions 12 and 13.
5a + 6
11. Determine the length of fence needed to enclose the backyard.
5
8
12. Determine the area of the backyard.
3a + 4
13. Abbie and Ben ride their bikes each day for exercise. Ben rides twice as far as Abbie each day. If together they ride
9 miles, how many miles does Ben ride each day?
14. James has spent $16.50 of his $50 video store gift card. He plans on using the remaining balance to rent video
games. If the games cost $3.75 each to rent, how many games can he rent?
15. Which of the following shows the solution to 2 x  3  21 ?
A.
B.
-10
-9
-8
-7
-10
-9
-8
-7
C.
D.
-13
-12
-11
-10
-13
-12
-11
-10
17. Stephen owns a bicycle rental stand at the beach. He uses the equation c  3.50h  5 to determine c, how much he
will charge to rent a bicycle for h hours. Which of the following is a correct amount someone would pay to rent a
bicycle during the day?
A. $3.50
B. $5.50
C. $15.50
D. $30.00
18. Elijah is saving for a summer vacation in Florida that costs at least $250. He has $150 saved and hopes to lifeguard at
$8 per hour to earn the rest of the money. Which inequality below best describes the number of hours, h, he must
lifeguard to have enough money for the trip?
A.
150  8h  250
B.
150  8h  250
C.
150  8  h  250
D.
8h  250
Performance Task
19. You have $70 to spend on clothes. Jeans cost $29 and t-shirts cost $8 without any added tax. Write an inequality to
find out how many pairs of jeans you can purchase if you buy (1) t-shirt. Write a second inequality to find out how
many t-shirts you can purchase if you buy (1) pair of jeans. Solve each inequality. Explain your answers.
Math 7
Unit 2: Expressions and Equations
Post Test Answer Key
Problem Standard
1. MCC7.EE.4
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
MCC7.EE.1
MCC7.EE.1
MCC7.EE.1
MCC7.EE.4
MCC7.EE.4
MCC7.EE.4
MCC7.EE.4
MCC7.EE.4
MCC7.EE.1
MCC7.EE.1
MCC7.EE.4
MCC7.EE.4
MCC7.EE.4
MCC7.EE.3
MCC7.EE.4
MCC7.EE.3
MCC7.EE.4
MCC7.EE.3
MCC7.EE.4b
Answer
The equation has only one answer, x = 4. The inequality has an infinite number of answers, x
could be any value greater than 4.
Answers may vary. Possible answer: Use properties to combine like terms.
13a  6b
22  10x
x  9.5
x  3
x  13
x  7
5  4x  x  3
17
h  50
10a  28
34a  42
6 miles
8 games
A
C
B
A
29x + 8 ≤70; x≤2.14, so (2) pairs of jeans because you cannot buy 0.14 of a pair of jeans
29+ 8x ≤70; x≤5.125, so (5) t-shirts because you cannot buy 0.125 of a t-shirt