Unit 6 Review

Solving One-Step Equations

1. Draw a line down from your equal sign (or the wall of equality)

2. Perform the INVERSE (opposite) operation on BOTH sides

​*We want to ISOLATE the variable*

Multiple Choice

What is the inverse of subtraction?

• division

• addition

• multiplication

Multiple Choice

What is the inverse of multiplication?

• addition

• subtraction

• division

Multiple Choice

What is the inverse of addition?

• division

• subtraction

• multiplication

Multiple Choice

What is the inverse of division?

• subtraction

• addition

• multiplication

Solve y + 14 = 20

• The inverse operation of addition is subtraction.

• Subtract 14 from both sides of the equal sign

• 20-14=6

• y=6

Multiple Choice

Solve for x

x + 4 = 27

• 31

• 23

• 7

• 4

Solve x - 120 = 80

• The inverse operation of subtraction is addition

• Add 120 to both sides of the equal sign.

• 80 +120= 200

• x=200

Multiple Choice

Solve for x

x - 6 = 10

• 4

• 16

• 14

• 6

Solve 3n = 12

• The inverse operation of multiplication is division

• Divide both sides by 3

• 12/3=4

• n=4

Multiple Choice

Solve for x

2x = 14

• 12

• 26

• 7

• 16

• The inverse operation of division  is multiplication 

• Multiply both sides by 2

• 16(2)=32

• k=32

Multiple Choice

Solve for x

$$\frac{x}{4\ }=6$$

• 10

• 2

• $$\frac{3}{2}$$

• 24

Inequalities

*In math, just like in life, not everything is equal.

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*Inequalities are used to show that one value is not equal to another value.

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*Inequalities are often used to make comparisons of two quantities.​

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Inequalities

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Match

Match the following

• greater than

• greater than or equal to

• less than

• less than or equal to

• $$>$$

• $$\ge$$

• $$<$$

• $$\le$$

Here are some common words with each inequality symbol.

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Translating phrases into inequalities

Think:

1. Can it be less than the given number?

2. Can it be equal to the given number?

3. Can it be greater than the given number?

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Translating phrases into inequalities

Multiple Choice

Translate:

You need to be at least 5 feet tall to ride the rollercoaster.

Let h = your height

• $$h<5$$

• $$h\ge5$$

  
  

• $$h>5$$

• $$h\le5$$

Multiple Choice

Translate:

A number no more than 3.

• $$x<3$$

• $$x\ge3$$

  
  

• $$x>3$$

• $$x\le3$$

Multiple Choice

Translate:

A number is at most 8

• $$x<8$$

• $$x\ge8$$

  
  

• $$x>8$$

• $$x\le8$$

Multiple Choice

Translate:

The maximum number of people allowed in the elevator is 25.

Let p = the number of people in the elevator

• $$p<25$$

• $$p\ge25$$

  
  

• $$p>25$$

• $$p\le25$$

Multiple Choice

Open circle

• $$<$$

• $$\le$$

Multiple Choice

Closed circle

• $$>$$

• $$\ge$$

Multiple Choice

Which inequality represents the graph?

• $$x\ \ge\ -3$$

• $$x>-3$$

• $$x\le-3$$

• $$x<-3$$

Multiple Choice

Which inequality represents the graph?

• $$x\ \ge\ 5$$

• $$x>5$$

• $$x\le5$$

• $$x<5$$

Multiple Choice

What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

Multiple Choice

Which inequality matches the graph?

• x > -2

• x < -2

• x > -2

• x < -2

Multiple Choice

Pick the correct letter for:

x < 6

• A

• B

• C

• D

Multiple Choice

Which inequality is true when x = 9?

• $$x+6\ge20$$

• $$x-6>20$$

• $$11+x<20$$

• $$11-x\le20$$

Multiple Choice

Is x = 5 part of the solution set for the following inequality?

$$x+7<9$$

• yes

• no

Multiple Choice

Is x = 8 part of the solution set for the following inequality?

$$2x\ge16$$

• yes

• no

Multiple Choice

Is x = 12 part of the solution set for the following inequality?

$$\frac{x}{4}>6$$

• yes

• no

Multiple Select

Select all values that are solutions to the inequality x < 20

• 0

• 100

• 10

• 50

Multiple Select

Select all values that are solutions to the inequality $$x\ge5$$

• 5.5

• -5

• 4.8

• 5