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Algebra 1 Chapter 2 Review_Linear Equations

Total questions: 35

Worksheet time: 9hrs 45mins

Name
Class
Date
1.

Which problem situation matches this equation?


74.80 = 8x

a)

Karen got $8 per hour for babysitting. Find x, the amount she was paid for 8 hours.

b)

The cost of a video game is $74.80. Find x, the amount Josh needs to be the game if he had $8.

c)

8 friends spent $74.80 each pay for a camping trip. Find x, the total amount they paid.

d)

Charlene got a paycheck for $74.80 for 8 hours of work. Find x, the amount she was paid per hour.

2.

Write an equation for the given situation. The total number of piano lessons (p) minus the 3 completed lessons equals 15.

a)

15 - p = 3

b)

3 + 15 = p

c)

3 - p = 15

d)

p - 3 = 15

3.
A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?
a)
c = 3.00 - 0.15m
b)
c = 0.15 + 3.00m
c)
3.00 = c + 0.15
d)
c = 3.00 + 0.15m
4.
WRITE AN EQUATION
April had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
a)
n=total cost pencils; 7n+10=24
b)
n=cost of 1 pencil; 7n-10=24
c)
n=cost of 1 pencil; 7n+10=24
d)
n=cost of 1 pencil; -7n-10=24
5.
Solve for x:
x+19.46=245.3
a)
264.76
b)
12.6
c)
50.7
d)
225.84
6.
a)
10 and 3/10
b)
11 and 1/10
c)
3 and 1/2
d)
5 and 1/2
7.
-16+ x= -15
a)
2
b)
0
c)
-1
d)
1
8.
6 - 3a = 21
a)
a= 9
b)
a= -9
c)
a= -5
d)
a= 5
9.
7 + a= 5
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
10.
(a + 3)= 3
a)
a= 18
b)
a= 21
c)
a= 4
d)
a= 11
11.
50 = 28.1 + 0.15a
a)
a= 150
b)
a= 146
c)
a= 6
d)
a= 155
12.
⅔m = -4
a)
2 ⅔
b)
-6
c)
6
13.
Solve.
(2x - 3) / 4  = 9
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
14.
a)
8
b)
9
c)
72
d)
12
15.
Solve:
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
16.
Solve:
-8 + 5x - 2 = 20
a)
6
b)
-6
c)
2
d)
-2
17.
Solve:
6(5x - 3) + 2 = 14
a)
2
b)
.5
c)
-1
d)
1
18.
Solve:
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
19.
Solve:
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
20.
Solve:
2(a + 4) = 2a - 8 + 4a
a)
3
b)
-3
c)
-4
d)
4
21.
8 = (34)a +12 - a + 4
a)
32
b)
-6
c)
-4
d)
4
22.
0.75 + 2(a - 0.5) = 3a - 0.4
a)
0.15
b)
5
c)
1.5
d)
3.75
23.
a)
A
b)
B
c)
C
d)
D
24.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

Empty Set

25.
|2a - 10| = 6
a)
a = 8, a = 5
b)
a = 2
c)
a = 8
d)
a = 8, a = 2
26.

(4・62) / |-24 - 6・2|

a)

18

b)

4

c)

-12

27.
Solve the equation for x:
a)
17
b)
16
c)
15
d)
14
28.
a)
5
b)
-5
c)
25
d)
-25
29.

What is the solution to this equation?

a)

None of These

b)

No Solution

c)

All Real Numbers

30.

Solve:

3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

All Real Numbers

31.
The height of a telephone pole on a map is 6 cm. The scale is 2cm:20m. What is the actual height of the telephone pole?
a)
6 m
b)
10 m
c)
18 m
d)
60 m
32.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
33.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
34.
ax + c = R
(solve for x) 
a)
ax = R + c
b)
ax = R - c
c)
x = a(R-c)
d)
x = (R-c) / a 
35.

 Volume is the amount of space that a substance or object occupies. All objects have volume. One formula for volume is:  V= AhV=\ Ah 
Where is area (units:  ft2ft^2  ), and  is the height (units: ftft  ). The units for volume is   ft3ft^3  .
Solve the equation for acceleration, hh  .

a)

 h=VAh=V-A  

b)

 h=VAh=VA  

c)

 h=VAh=\frac{V}{A}  

d)

 h=AVh=\frac{A}{V}