Solving Inequalities_Review Activity

Solving Two step Inequalities

Section 3.2

You will need:

• Notebook

• Calculator

• Pencil

• Worksheet from Sub

Recall the parts of an equation !!

What is an inequality?

Inequality means "not equal"

**Note** Inequalities does not contain the equal sign.

Process Steps

• Step 1: Add or subtract like terms

• Step 2: Multiply or divide both sides by the coefficient (the # with the variable).

• **If the coefficient is negative, flip the inequality sign**

• Remember we want the variable on one side by itself!

• Step 3: Set the variable to the solution using the inequality symbol.

Multiple Choice

What is the coefficient?

• Numbers that stand alone.

• A letter (a-z) that represents an unknown number.

• The number in front of the variable.

Multiple Choice

A variable is represented as a....

• Number

• Letter

Multiple Choice

What does inequality mean?

• equal

• not equal

Reminders:

• Goal: Get the variable by itself

• Start on the side with the variable

• What you do to one side, do to the other!

Tips for Solving!

• Add or subtract before multiply or divide

• Don't forget to flip your signs when you multiply or divide by a NEGATIVE on BOTH SIDES!

• Graph your answer when finished

You do!

Try it out on your own!

Multiple Choice

11 > -3y + 2

• -3 > y

• -3 < y

• 3 > y

• 3 < y

Multiple Choice

-4x + 1 > 21

• x > -5

• x < -5

• x > -80

• x < -80

Multiple Choice

-3x − 4 < 5

• x > -3

• x < -3

• x < 3

• x > 3

Multiple Choice

Solve for k.
2k - 9≤ -19

• k ≤ -5
• k ≤ 5
• k < -5
• k < 5

Multiple Choice

25 < X - 10

• X > 35
• X < 35
• X > -35
• X < -35

Multiple Choice

22 < 6c + 4

• 11>c
• 3>c
• 11<c
• 3<c

Multiple Choice

Do I need to flip my sign?
-3x  ≥ 12

• Yes, because I'll be dividing by a negative number

• No, because you never flip the sign. 

Graphing Tips

• Open circle: "greater than" or "less than"

• Closed circle: "or equal to" phrases

• Read your solution like a sentence. Graph towards the numbers that make it true!

Multiple Choice

Solve and graph the inequality.
7n - 1 > 76

• A

• B

• C

• D

Multiple Choice

4x + 1 > 13

• x > 48

• x < 3

• x > 3.5

• x > 3

Multiple Choice

Match the graph with its inequality.

• b > –2

• b < –2

• b ≥ –2

• b ≤ –2

Multiple Choice

2x + 6 ≥ -8

• x ≥ -7

• x ≤ -7

• x ≥ -10 

• x ≤ -10

Multiple Choice

When graphing $$b<6$$ , would you use an open circle or a filled-in/closed dot?

• open circle

• filled-in/closed dot

Multiple Choice

• x < -20

• x > -20

• x > 20

• x < 20

Multiple Choice

When graphing $$d\ge12$$ , would you use an open circle or a filled-in/closed dot?

• open circle

• filled-in/closed dot

Multiple Choice

• A

• B

• C

• D

Multiple Choice

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Solve the following inequality. Show your algebraic work!

• m > -2

• m > 6

• m < 5

• m < 3

Multiple Choice

Terms are normally separated by using which of the following?

• $$+,\ -,\ \times,\ \div$$  
  

• $$<,\ >,\ \le,\ \ge$$  
  

• $$=$$  

Multiple Choice

TRUE or FALSE: Inequalities contain equal signs.

• TRUE

• FASLE

Multiple Choice

What is the solution set for

$$-8x+40>-16$$  ?

• $$x>7$$  
  

• $$x<7$$  
  

• $$x>-3$$  

• $$x<-3$$  

Multiple Choice

What is the opposite of addition?

• Subtraction

• Multiplication

• Division

Multiple Choice

What is the opposite of multiplication?

• Addition

• Subtraction

• Division

Reminders:

• Goal: Get the variable by itself

• Start on the side with the variable

• What you do to one side, do to the other!

Multiple Choice

Solve:

2x - 9 > 11

• x < 10

• x > 1

• x > 10

• x < 1

Multiple Choice

What would a graph look like for this solution:

x > 10

• Open circle; shaded to the right

• Open circle; shaded to the left

• Closed circle; shaded to the right

• Closed circle; shaded to the left

Multiple Choice

-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10

Multiple Choice

• x < -20

• x > -20

• x > 20

• x < 20

Multiple Choice

What would the graph look like for your solution?

x < 50

• Open circle; shaded to the right

• Closed circle; shaded to the right

• Closed circle; shaded to the left

• Open circle; shaded to the left

Tips for Solving!

• Add or subtract before multiply or divide

• Don't forget to flip your signs when you multiply or divide by a NEGATIVE on BOTH SIDES!

• Graph your answer when finished

Multiple Choice

Solve:
$$-2x+3\ \le\ 13$$  

• $$x\ \le\ -5$$  

• $$x\ \le\ -8$$  

• $$x\ \ge\ -5$$  

• $$x\ \ge\ -8$$  

Multiple Choice

• x > 3

• x ≤ ⅕

• x ≥ 3

• x ≤ ⅕

Multiple Choice

$$x\ \ge\ -5$$  

What would the graph look like for your solution?

• Closed circle; shaded to the left

• Closed circle: shaded to the right

• Open circle; shaded to the right

• Open circle; shaded to the left

Multiple Choice

-9a - 1 < 26

• a < -3

• a < 3

• a > -3

• a > 3

Poll

What do you still need more practice with? Choose ALL that apply:

• Writing inequalities

• Solving one-step inequalities

• Solving two-step inequalities

• Graphing inequalities

• Reading and understanding inequalities