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8th Grade Unit 1 Review

Total questions: 35

Worksheet time: 2hrs 45mins

Name
Class
Date
1.

What is the first step to solve this equation:

11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

2.

What is the final answer to


10 + 2n = 8n - 2n + 10 ?

a)

12

b)

5

c)

0

d)

-15

3.

What is the first step you should take to solve this problem?


-3(x - 2) = -8 +9b

a)

add 8 to both sides

b)

subtract 9b from both sides

c)

Distribute -3 to the x and -2

4.

What is the next step you should take?


-11b + 8 = -3

a)

subtract 8 from both sides

b)

add -3 to both sides

c)

divide 8 to both sides

d)

multiply 3 to both sides

5.

What is the final answer to


4(x - 2) = -3 + 5x

a)

2

b)

-10

c)

-5

d)

-3

6.

Solve for x:

2x - 5 = 3x + 4

a)

x = 6

b)

x = -9

c)

x = -18/13

d)

x = 10/3

7.

V=lwh  V=lwh\ \  for w. 


a)

w=Vlhw=\frac{V}{lh}  

b)

w=V−lhw=V-lh  

c)

w=Vl−hw=\frac{V}{l}-h  

d)

w=lhVw=\frac{lh}{V}  

8.

y−4x=5 y-4x=5\  for y. 

a)

y=54xy=\frac{5}{4x}  

b)

y=4x+5y=4x+5  

c)

y=5−4xy=5-4x  

d)

y=−4x+5y=-4x+5  

9.

3x−y=43x-y=4  for x.

a)

x=−y+43x=-y+\frac{4}{3}  

b)

x=y−43x=\frac{y-4}{3}  

c)

x=y+43x=\frac{y+4}{3}  

d)

x=4y3x=\frac{4y}{3}  

10.
Solve the following equation for n:
8n = 16
a)
n=24
b)
n=32
c)
n=2
d)
n=8
11.
Solve for x:
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
12.
Solve for d:
-7(6 + d) = 49
a)
13
b)
1
c)
-1
d)
-13
13.
Solve for n:
n+2=-14-n
a)
6
b)
8
c)
-8
d)
-6
14.
2x +2x +2=4x +2 
a)
Single Solution
b)
No Solution
c)
Infinite Solutions
15.
3( x−1)=2x +9 
a)
Single Solution
b)
No Solution
c)
Infinite Solutions
d)
3
16.
2x +8=2( x+4) 
a)
Single Solution
b)
0
c)
Infinite Solutions
d)
4
17.
2(x+1)=−2x +5 
a)
2
b)
No Solution
c)
5/2
d)
0
18.
4x +2x +2=3x −7 
a)
Single Solution
b)
No Solution
c)
Infinite Solutions
19.
 x+2x+7=3x−7 
a)
Single Solution
b)
No Solution
c)
Infinite Solutions
20.
10+x=5(1/5x +2) 
a)
Single Solution
b)
No Solution
c)
Infinite Solutions
21.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
22.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
23.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
24.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
25.
x + 8 < 3 or - 8x < -40 
a)
x > -5 or x < 5
b)
x < -5 and x > 5
c)
x < -5 or x > 5 
d)
x > -5 and x < 5 
26.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

27.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

28.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
29.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
30.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
31.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
32.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
33.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
34.

4x−2≤−224x-2\le-22

a)

x≥−5x\ge-5

b)

x≥−6x\ge-6

c)

x≤−6x\le-6

d)

x≤−5x\le-5

35.

Solve 5x + 9 > 34

a)

x > -5

b)

x > 5

c)

x < -5

d)

x < 5