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Test 02.02.2024 Basic Algebra Review

Total questions: 26

Worksheet time: 35mins

Name
Class
Date
1.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
2.
Simplify (-1/2)0
a)
1
b)
0
c)
-1
d)
-2
3.

How do you use exponents to represent numbers?

a)

repeated multiplication

b)

repeated addition

c)

repeated subtraction

d)

repeated division

4.

According to exponent rules, when we multiply the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

5.

According to exponent rules, when we divide the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

6.

Simplify:

(x5)4

a)

x9

b)

x20

c)

x

d)

x54

7.

What is the result of 5^3 * 5^4?

a)

5^12

b)

5^7

c)

5^35

d)

5^20

8.

Evaluate (4^3) * (4^2)

a)

64

b)

256

c)

625

d)

1024

9.

10210^2  Identify the base 

a)

10

b)

2

10.

10210^2  Identify the exponent

a)

10

b)

2

11.
Like terms have the same variable and the same _____________.
a)
sign.
b)
number.
c)
exponent.
12.
A symbol for a number we don't know yet. It is usually a letter like x or y.
a)
Equivalent
b)
Like Terms
c)
Expression
d)
Variable
13.
How many terms are in the expression: 
4a - 2b + 8 - 3a - 4b
a)
5
b)
3
c)
9
14.
Which one is the constant?
5g3 + 2
a)
5
b)
g
c)
3
d)
2
15.
Simplify:
3(9 + 2d) + 4d 
a)
18d+10d
b)
18d-10d
c)
27+10d
d)
37d
16.

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

a)

Inverse Operations

b)

Division

c)

Multiplication

d)

Parenthesis

17.

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

18.

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

19.

When solving an equation with a fraction, how do you get rid of said fraction?

a)

Multiply both sides of the equation by the least common denominator.

b)

Leave the fraction and move on.

c)

Multiply both sides of the equation by the numerator.

d)

Divide both sides of the equation by its reciprocal.

20.

Distribute and simplify the following expression.

-3(2 - 4w) + (-11w)

a)

-6 + 12w + 11w

b)

w - 6

c)

-6 + -w

d)

-6 + 12w - 11w

21.

What skill can be developed by solving linear word problems?

a)

Critical thinking skills

b)

Creative writing skills

c)

Public speaking skills

d)

Cooking skills

22.

Which step is used to find the values of the unknowns in linear word problems?

a)

Identify the unknowns and assign variables

b)

Translate the problem into equations

c)

Check the solution by substituting the values back into the original problem

d)

Write the final answer with appropriate units

23.

Which of the following equations require you to use the Distributive Property first?

Select all that apply.

a)

6x-8=7(x+2)

b)

7n-5=3

c)

2(a-9)=9a+1

d)

4-9y=8+4y-2

24.

Let's Practice using the Distributive Property.

6(x-3)

a)

x-18

b)

6x+18

c)

6x-18

d)

6x-9

25.

Check the boxes that show like terms.

a)

5 and -8

b)

4n and -8x

c)

-9 and 9x

d)

1 and 7

e)

6y and 8y

26.

If we wanted to move variables to one side, what operations could we do to accomplish this?

(2 answers) Remember there are two ways of moving the term with the variable. **

7x-8=-5x+3

a)

Subtract 7x from both sides

b)

Add 8 to both sides

c)

Subtract 3 from both sides

d)

Add 5x to both sides