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A. General Algebra Review SA

Total questions: 37

Worksheet time: 57mins

Name
Class
Date
1.
A(n) ______________ is a statement that two mathematical expression are equal
a)
equation
b)
inverse operation
c)
solution of an equation
d)
expression
2.

An equation is a math sentence that contains an____________ sign.

a)

variable

b)

equal

c)

operation

d)

inverse

3.

What is the inverse operation of addition?

a)

addition

b)

subtraction

c)

multiplication

d)

division

4.
What is the inverse operation of subtraction?
a)
Subtraction
b)
Multiplication
c)
Division
d)
Addition
5.

What is the inverse operation of division?

a)

addition

b)

subtraction

c)

multiplication

d)

division

6.

What is the inverse operation of multiplication?

a)

addition

b)

subtraction

c)

multiplication

d)

division

7.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 5 to both sides
b)
add 15 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
8.

Looking at the equation x + 5 = 3x -1 tells me that I can perform which step first...

a)

Subtract 5 from both sides of the equals sign

b)

Add x to both sides of the equals sign

c)

Add 3x to both sides of the equals sign

d)

Subtract 1 from both sides of the equals sign

9.
If I have more 15 Pokemon cards than Austin, which expression shows how many I have?
a)
x-15
b)
x+15
c)
15x
d)
15/x
10.

Equations with variables on both sides are best solving using....

a)

Inverse Operations

b)

Division

c)

Multiplication

d)

Parenthesis

11.

What would be the first step to solving the equation being modeled? (green=x red = -1 blue = 1)

a)

Add 4 red tiles or -4 to both sides

b)

Add 4 blue tiles or 4 to both sides

c)

Add 10 red tiles or -10 to both sides

d)

Add 10 blue tiles or 10 to both sides

12.

What is the equation and the solution for the given model?

a)

3x-4=5 x=1

b)

3-4x=5 x=-2

c)

3-4x=5 x=2

d)

3x-4=5 x=3

13.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

14.
Write an equation for the word sentence:
The sum of a number and 4.5 is 8.2.
a)
8.2=4.5n
b)
n+4.5=8.2
c)
8.2n=4.5
d)
n-4.5=8.2
15.
Write an equation for the word sentence:
Three times the cost is $24.
a)
3c=24
b)
24c=3
c)
c+3=24
d)
c-3=24
16.

Evaluate (Solve):


f-22=36

a)

f = 62

b)

f = 14

c)

f = 58

d)

f = 12

17.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Subtract 62 from each side. 
b)
Add 62 to each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
18.

Solve for x.


x + 12 = 20

a)

x = 8

b)

x = -32

c)

x = 32

d)

x = -8

19.

Evaluate (solve).


y - 4.6 = 12

a)

y = 16.6

b)

y = 5.8

c)

y = 7.4

d)

Answer not Given

20.

What is the value of V?


V + 23 = 45

a)

V = 68

b)

V = 22

c)

V = -22

d)

Not Here

21.

p × 9 = 81

a)

p = 72

b)

p = 90

c)

p = 9

d)

p = 88

22.

Solve the equation.

3x - 2 = x + 10

23.

y ÷\div  6 = 5

a)

11

b)

1

c)

30

d)

6

24.

5p = 30

a)

6

b)

150

c)

25

d)

35

25.
Amount you have spent if you buy a shirt for $20 and jeans for x dollars
a)
20-x
b)
20+x
c)
x-20
d)
20x
26.
The second book in a Fantasy series is 112 pages longer than the first book.  The total number of pages in both books is 524.  Which equation shows how many pages are in the first book?
a)
b + b + 112 = 524
b)
2b = 524
c)
b - 112 = 524
d)
b + 112 = 524
27.

Solve for y:

4x + y = -7

(a)  

28.

Solve for y:

x + y = 3

(a)  

29.

What is the value of the expression if n = 7

n + 9 =

a)

2

b)

16

c)

7

d)

3

30.

What is the value of the expression if r = 5

14 - r =

a)

9

b)

5

c)

3

d)

2

31.
Determine whether the given value of the variable is a solution of the equation.
x - 24 = 58;  x = 82
a)
yes
b)
no
32.
Solve the equation:
a + 2.4 = 7.8
a)
a = 10.2
b)
a = 5.4
c)
a = 17.76
d)
a = 3.25
33.
Solve the equation:
b - ¼ = 3 ½
a)
b = 3 ¼
b)
b = 14
c)
b = ⅞
d)
b = 3 ¾
34.
Determine whether the given value of the variable is a solution of the equation.
⅓c = ⅜; c = ¾
a)
no
b)
yes
35.
Deon wants to go on a camping trip that will cost $199.  He paid a deposit of $55 and will save an additional $18 per week to pay for the trip. Which equation shows ow many weeks will he need to save to pay off his trip?
a)
18w + 55 = 199
b)
18w - 55 = 199
c)
18w - 199 = 55
d)
55w - 18= 199
36.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

a)

1 hour

b)

2 hours

c)

3 hours

d)

4 hours

37.
Sal purchased a computer for $650. He paid $105 initially and will pay $20 per month until the computer is paid off.  How many months will he have to pay before his computer is paid off?
a)
20x + 105 = 650
b)
105x + 20 = 650
c)
650x - 20 = 105
d)
20x - 105 = 650

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