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Alg 1A Chapter 2 Review

Total questions: 25

Worksheet time: 2hrs 43mins

Name
Class
Date
1.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
2.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
3.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
4.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
5.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
6.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
7.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
8.
2x = x + 3
a)
6
b)
3
c)
2
d)
x
9.
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
10.
Solve the equation
4x - 5x + 9 =5x - 9
a)
x = -3
b)
x = 9
c)
x = 3
d)
x = -9
11.
Solve the equation:
3x - x + 2 = 4(2x - 1)
a)
infinite solutions
b)
x = 1
c)
x = -1
d)
no solution
12.
Which step cannot be performed first when solving the equation
5 - 2(x - 7) = x + 1 + 3x
a)
Distributing -2 to (x - 7)
b)
Combining x and 3x
c)
Subtracting 1 from both sides
d)
5 - 2
13.
Solve the equation:
½ (2x + 6) = 3x + 13
a)
no solution
b)
x = 8
c)
x = -5
d)
x = 7
14.

How many solutions does this equation have?

a)

One Solution

b)

No Solutions

c)

Infinitely Many Solutions (all real numbers)

15.

1−2x=−2x+11-2x=-2x+1  

a)

x=0x=0  

b)

x=1x=1  

c)

Infinite Solutions

d)

No Solution

16.

x−5=3+x−8x-5=3+x-8  

a)

x=0x=0  

b)

x=1x=1  

c)

Infinite Solutions

d)

No Solution

17.

6(x−6)=−44+6x6\left(x-6\right)=-44+6x  

a)

x=0x=0  

b)

x=1x=1  

c)

Infinite Solutions

d)

No Solution

18.
Find three consecutive even integers whose sum is 84.
a)
26, 28, 30
b)
28, 30, 32
c)
27, 28, 29
d)
24, 26, 28
19.
Find four consecutive odd integers whose sum is 128.
a)
32, 34, 37, 38
b)
27, 29, 31, 33
c)
29, 31, 33, 35
d)
25, 27, 29, 31
20.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
21.

The length of a rectangle is 4 times the width. The perimeter is 60 cm. What equation represents how to find the length and width?

a)

10x = 60

b)

4x = 60

c)

5x = 60

d)

8x = 60

22.

The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. Which equation represents how to find the length and the width?

a)

2x + 5 = 150

b)

4x + 10 = 150

c)

4x + 5 = 150

d)

2x + 10 = 150

23.

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

a)

15x + 2.5 = 10x + 3

b)

15 - 2.5x = 10 - 3x

c)

15 + 2.5x = 10 + 3x

d)

15 - 10 = 2.5x + 3x

24.

Which situation best represents the following equation?

25 + .05x = 50 + .01x

a)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $50 plus 5 cents per minute. Cellular Plus charges $25 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?

b)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus $5 per minute. Cellular Plus charges $50 plus $1 per minute. How many minutes can be used in one month to make the two companies charge the same amount?

c)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50. How many minutes can be used in one month to make the two companies charge the same amount?

d)

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?

25.
At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal? 
a)
150x + 24 = 180 + 20x
b)
150 + 24x = 180 + 20x
c)
180 - 150 = 24 x + 20x
d)
150 - 24x = 180 - 20x

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