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Fall Exam Review - Equations and Inequalities

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

1. Simplify an expression for the model below.

(a)  

2.
2. Which gives a simplified expression for the area of the rectangle?
a)
A. 5x + 1.5
b)
B. 4x + 8
c)
C. 2x + 4
d)
D. 5x + 3.75
3.
3. Four students were given the expressions to simplify as shown. Which statement is NOT true?
a)
A. Josie’s expression simplifies to -8x + 16.
b)
B. Igor’s expression simplifies to 2 + 15x.
c)
C. Rachel’s expression simplifies to -4x + 3.
d)
D. Milo’s expression simplifies to 6x + 42.
4.
4. Which value of n makes the equation true?
a)
A. n = 1.2
b)
B. n = 0.4
c)
C. n = 4.5
d)
D. n = -3
5.
5. Which of the following represents the variables of the equation collected on one side of the equation and the constants collected on the other?
a)
A. 35x = -22
b)
B. 77x = 70
c)
C. 35x = -70
d)
D. 77x = -22
6.
6. What is the solution set for the inequality?
a)
A. x < 5
b)
B. x < -5
c)
C. x > 5
d)
D. x > -5
7.
a)
A.
b)
B.
c)
C.
d)
D.
8.

8. Solve the equation below.

(a)  

9.
9. Which of the following is a solution to the inequality?
a)
A. x = –5
b)
B. x = –4
c)
C. x = –10
d)
D. x = –1
10.
a)
A.
b)
B.
c)
C.
d)
D.
11.
11. Solve the equation.
a)
A. All real numbers
b)
B. No solution
c)
C. b = –18
d)
D. b = 0
12.
12. Reuben solved the inequality as shown. Which best describes Reuben’s mistake?
a)
A. Reuben distributed incorrectly.
b)
B. Reuben combined like terms incorrectly.
c)
C. Reuben should not have flipped the inequality sign.
d)
D. Reuben did not make a mistake.
13.
13. Which of the following shows the equation solved for y?
a)
A.
b)
B.
c)
C.
d)
D.
14.

14. Angela is shopping for pet supplies and needs to buy a kennel and several toys. At Paws R Us she would pay $50.75 for the kennel and $3.75 for each pet toy. At Truth or Tail she would pay $43.25 for the kennel and $5 for each pet toy. Write an inequality to represent t, the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option.

(a)  

15.
15. Which value of x makes the equation true?
a)
A. x = 11.3
b)
B. x = 4.5
c)
C. x = 8.5
d)
D. x = -4.5
16.
a)
A.
b)
B.
c)
C.
d)
D.
17.
17. Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second. After how many seconds will the boats be traveling the same speed?
a)
A. 16 seconds
b)
B. 8 seconds
c)
C. 14.4 seconds
d)
D. The boats will never be traveling at the same speed.
18.

18. Find the solution set to the inequality below.

(a)  

19.
19. Mrs. Watson asked her students to write an equation with a solution of x = 0.5. Which student successfully completed the task?
a)
A. Bethany only
b)
B. Zoe only
c)
C. Both Bethany and Zoe
d)
D. Neither Bethany nor Zoe
20.



(a)