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3rd Six Weeks Review - Expressions, Equations, Inequalities

Total questions: 30

Worksheet time: 54mins

Name
Class
Date
1.

1.Tinley wrote an expression that is equivalent to (10 + 8) ÷ 3. Which expression could be the one Tinley wrote?

a)

(2 · 2 · 2 · 3) ÷ (2 · 3)

b)

(2 · 2 · 2 · 2) ÷ (2 · 2)

c)

(3 · 3 · 2) ÷ (2 · 2)

d)

(3 · 3 · 2) ÷ (3· 1)

2.

2.Calissa showed fellow students part of the prime factorization of 68.

2^2 · _____

What number completes this prime factorization?

a)

17

b)

16

c)

7

d)

5

3.

Which of these can NOT be written as an equation?

a)

three plus four is seven

b)

five multiplied by eight is forty

c)

The difference of thirteen and twelve

d)

The quotient of forty-eight divided by six is eight

4.

Which two expressions are equivalent?

a)

3 · (5 + x) and (3 · 5) + x

b)

(7 + 14) ÷ y and 7 + 14 ÷ y

c)

24 – (a · 5) and 24 + (5 · a)

d)

(15 ÷ y) + 7 and 7 + 15 ÷ y

5.
a)

7 · 3 · 4 · 5

b)

(7 · 3) + (4 · 5)

c)

7 + 3 + 4 + 5

d)

10 · 9

6.

6.What value of x makes this equation true?

-72 = -107 + X

a)

-179

b)

179

c)

35

d)

-35

7.

Tyler has a goal of swimming at least 20 kilometers. He swims at a rate of 5 kilometers per hour. Which inequality can Tyler use to find h, the number of hours he should swim in order to meet or exceed his goal?

a)

h + 5 ≥ 20

b)

h + 5 ≤ 20

c)

5h ≥ 20

d)

5h ≤ 20

8.

a)

15

b)

22

c)

50

d)

76

9.
Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 
a)
15h ≤ 105
b)
15h > 105
c)
15h < 105
d)
15h ≥ 105
10.

Cory is buying wood to build frames for $5 each. He wants to spend less than $5 on supplies. The inequality 5f < 5 can be used to determine the number of frames, f, he must sell in order to meet his goal. Which number line best represents the solution to the inequality?



To see the image better, click the image

a)

A

b)

B

c)

C

d)

D

11.

Taylin is selling ornaments for $10 each. She wants to make more than $50 in sales. The inequality 10x > 50 can be used to determine the number of ornaments, x, she must sell in order to meet her goal. Which number line best represents the solution to the inequality?

a)

A

b)

B

c)

C

d)

D

12.

Which inequality is true when x = 7?

a)

8x > 56

b)

8x ≥ 56

c)

-8x > 56

d)

8x < 56

13.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
14.
4(p - 6)
a)
-4p - 24
b)
4p + 24
c)
4p + 24
d)
4p - 24
15.
a)

x ≤ 6

b)

x ≥ 6

c)

x ≤ -6

d)

x ≥ -6

16.
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
17.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
18.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
19.

What do you need to do to both sides to isolate the variable?

 16 = k1116\ =\ \frac{k}{11} 

a)

Divide both sides by 11

b)

Subtract 11 from both sides

c)

Multiply both sides by 11

d)

Add 11 to both sides

20.


Solve.
 y9= 3\frac{y}{9}=\ 3  

a)

12

b)

27

c)

6

d)

3

21.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
22.

Which of the following problems can be solved by using the equation


x + 5 = 24

a)

Claire had 24 dolls in her collection. She added five more to it. How many dolls does she now have in her collection?

b)

Lindsey has 5 times as many crayons as her sister. Her sister has 24 crayons. How many crayons does Lindsey have?

c)

Jameson earned $5 in tips on Monday delivering packages. For the rest of the week earned $24 in tips. How much did James earn in tips for the entire week?

d)

Melissa received a gift of of 5 magazines to add to her collection. The brought the total number of magazines to 24. How many did she have before she received her gift?

23.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
24.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
25.
Does the sign need to flip when solving?
8y < (-40)
a)
YES
b)
NO
26.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
27.

Find the prime factorization of 60

a)

5 • 12

b)

2 • 32 • 5

c)

22 • 3 • 5

d)

27

28.

Which among the following is an expression?

a)

2x + 3y = 7

b)

42 + 4xy

c)

2x = 2xc

d)

3xy (4x + 1) = 3z

29.

Which among the choices is an equation?

a)

the sum of twice a number and 4

b)

ratio of a number and seventy-eight

c)

forty-three is greater than twice a number

d)

a number squared is 16

30.

What number has the prime factorization of 23 • 32 • 5?

a)

360

b)

720

c)

180

d)

240