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Worksheets

Equations/Inequalities

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Choose an expression that is equivalent to the following
6n + 2(3 - 5n)

a)

n + 6

b)

6 - 4n

c)

16n + 6

2.

Choose the first step in solving the following equation.
-3y - 12 = 14

a)

add 3 from both sides

b)

add 12 to both sides

c)

subtract 12 from both sides

3.

0.1( x - 20 ) > 2

a)

x > 40

b)

x < 40

c)

x > 220

4.
a)
-3m + 36
b)
-9m + 36
c)
3m + 36
5.

-12x > 36

a)

x > -3

b)

x > 48

c)

x < -3

6.

- 3( 4 - 2x) = 6

a)

x = 1

b)

x = -3 

c)

x = 3

7.

When solving an inequality, what are the main things that are different from solving equations.

a)

Draw the line

b)

Use inverse operations to solve.

c)

Bring down the inequality symbol and FLIP the symbol  when you multiply or divide by a negative.

8.

How would you graph the following inequality?

a)

Closed circle over 42 going to the left

b)

Open circle over 42 going to the left

c)

Closed circle over 42 going to the right

d)

Open circle over 42 going to the right

9.

What is the goal for solving equations and inequalities?

a)

Isolate the variable

b)

Find the value of the variable

c)

Inverse operations

d)

Multiply by the reciprocal

10.

The process for solving equations and inequalities involves what three steps

a)

1) Isolate the variable

2) Inverse Operations

3) Balance

b)

1) Same Signs Add

2) Different Signs Subtract

3) Add the opposite

c)

Multiply by the reciprocal

d)

Find the value of the variable

11.

An inequality can have how many answers?

a)

Infinite

b)

One

c)

None

d)

As many as you want

12.

If you see the words "more than, above, over" you should use what sign

a)

>

b)

\ge  

c)

\le  

d)

<

13.

What is the inverse operation to solve the following equation

44 = -4x

a)

Add-4

b)

Divide by -4

c)

Multiply by -4

d)

Subtract by -4

14.

Which solution makes 4y = 32 true?

a)

y = 8

b)

y = (-8)

c)

x = 8

d)

x = (-8)

15.

What inequality is represented in the picture?

a)

x = 6

b)

x > 6

c)

x  6x\ \ge\ 6  

d)

x  6x\ \le\ 6