Inequalities Lesson Lesson

1

Inequalities Lesson

This will walk you through the steps to solving inequalities.

2

Let's try a practice problem.

$2d\ +\ 5\ \le\ 15$

3

Multiple Choice

What is the first step in solving the inequality?

2x\ +\ 5\ \le\ 15

1

Add 5 to both sides

2

Subtract 5 from both sides

3

Multiply 2 on both sides

4

Divide 2 on both sides

4

Multiple Choice

What is step two for the inequality?

2x\ +\ 5\ \le\ 15

1

Add 5 to both sides

2

Subtract 5 from both sides

3

Multiply 2 on both sides

4

Divide by 2 on both sides

5

Multiple Choice

What is the value of x for the inequality?

2x\ +\ 5\ \le\ 15

1

10

2

5

3

15

4

20

6

Try another inequality!

$4b\ -\ 200\ >\ 40$

7

Multiple Choice

What answer did you get for the previous inequality?

1

60

2

40

3

240

4

160

8

Multiple Choice

Look for the key word in this problem to figure out the answer.

1

A

2

B

3

C

4

D

9

Let's try a few word problems!

10

Sally wants to spend no more than $16 on school supplies. She buys some pencils that each cost $2. She also buys a binder that cost $4.

What is the maximum amount of pencils she can buy?

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How do we set up this problem?

1st: figure out what your inequality sign will be
2nd: what number will go behind your inequality?
3rd: what number gets the letter?
4th: is the last number being added or subtracted?

12

Multiple Choice

Sally wants to spend no more than $16 on school supplies. She buys some pencils that each cost $2. She also buys a binder that cost $4.

What will be your inequality sign?

1

$<$

2

$>$

3

$\le$

4

$\ge$

13

Multiple Choice

Sally wants to spend no more than $16 on school supplies. She buys some pencils that each cost $2. She also buys a binder that cost $4.

What number will be behind the inequality?

1

16

2

3

4

14

Multiple Choice

Sally wants to spend no more than $16 on school supplies. She buys some pencils that each cost $2. She also buys a binder that cost $4.

What number will get the variable?

1

16

2

3

4

15

Multiple Choice

Sally wants to spend no more than $16 on school supplies. She buys some pencils that each cost $2. She also buys a binder that cost $4.

Are we going to add or subtract the constant to the coefficient?

1

Add

2

Subtract

16

Multiple Choice

Sally wants to spend no more than $16 on school supplies. She buys some pencils that each cost $2. She also buys a binder that cost $4.

What does your inequality look like that?

1

$4p\ -\ 2\ <\ 16$

2

$4p\ +\ 2\ >\ 16$

3

$2p\ -\ 4\ \ge\ 16$

4

$2p\ +\ 4\ \le\ 16$

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Multiple Choice

Sally wants to spend no more than $16 on school supplies. She buys some pencils that each cost $2. She also buys a binder that cost $4.

Now solve your inequality.

1

6

2

10

3

4

5

18

A salesperson is paid $50 o his paycheck plus $4 an hour. This week, he wants to earn at least $250. How many sales must he make in order to meet his goal?

1st: What inequality are you going to use?
2nd: What number will come after the inequality?
3rd: What number will get the letter?
4th: Aer we adding or subtracting the coefficient and constant?

19

Multiple Choice

A salesperson is paid $50 o his paycheck plus $4 an hour. This week, he wants to earn at least $250. How many sales must he make in order to meet his goal?

What inequality are you choosing?

1

$<$

2

$>$

3

$\le$

4

$\ge$

20

Multiple Choice

A salesperson is paid $50 o his paycheck plus $4 an hour. This week, he wants to earn at least $250. How many sales must he make in order to meet his goal?

What number goes behind the inequality?

1

50

2

4

3

250

21

Multiple Choice

A salesperson is paid $50 o his paycheck plus $4 an hour. This week, he wants to earn at least $250. How many sales must he make in order to meet his goal?

What number will get the variable?

1

50

2

4

3

250

22

Multiple Choice

A salesperson is paid $50 o his paycheck plus $4 an hour. This week, he wants to earn at least $250. How many sales must he make in order to meet his goal?

Are we adding or subtracting the coefficient and constant?

1

Add

2

Subtract

23

Multiple Choice

A salesperson is paid $50 o his paycheck plus $4 an hour. This week, he wants to earn at least $250. How many sales must he make in order to meet his goal?

What is your inequality statement that you wrote?

1

$4n\ +\ 60\ \le\ 250$

2

$4n\ -\ 60\ \ge\ 250$

3

$4n\ +\ 50\ \ge\ 250$

4

$4n\ +\ 50\ \le\ 250$

24

Michael has a $25 budget to spend on decorations for a party. He has already spent $16. He now wants to buy some balloons for $0.30 each. Write and solve an inequality to show the number of balloons Michael can buy.

1st: What inequality are you going to use?
2nd: What number goes behind the inequality?
3rd: What number will get to variable
4th: Adding or subtracting the coefficient

25

Multiple Choice

Michael has a $25 budget to spend on decorations for a party. He has already spent $16. He now wants to buy some balloons for $0.30 each. Write and solve an inequality to show the number of balloons Michael can buy.

What inequality are you going to use?

1

$\le$

2

$\ge$

3

$<$

4

$>$

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Multiple Choice

Michael has a $25 budget to spend on decorations for a party. He has already spent $16. He now wants to buy some balloons for $0.30 each. Write and solve an inequality to show the number of balloons Michael can buy.

What number goes behind the inequality sign?

1

25

2

16

3

0.30

27

Multiple Choice

Michael has a $25 budget to spend on decorations for a party. He has already spent $16. He now wants to buy some balloons for $0.30 each. Write and solve an inequality to show the number of balloons Michael can buy.

What number will get the variable?

1

25

2

16

3

0.30

28

Multiple Choice

Michael has a $25 budget to spend on decorations for a party. He has already spent $16. He now wants to buy some balloons for $0.30 each. Write and solve an inequality to show the number of balloons Michael can buy.

Adding or subtracting the coefficient and constant?

1

Adding

2

Subtracting

29

Multiple Choice

Michael has a $25 budget to spend on decorations for a party. He has already spent $16. He now wants to buy some balloons for $0.30 each. Write and solve an inequality to show the number of balloons Michael can buy.

Write the inequality for the problem?

1

$0.30b\ -\ 16\ \ge\ 25$

2

$0.30b\ +\ 16\ \le\ 25$

3

$16b\ -\ 0.30\ <\ 25$

4

$0.30b\ +\ 16\ <\ 25$

30

Multiple Choice

Michael has a $25 budget to spend on decorations for a party. He has already spent $16. He now wants to buy some balloons for $0.30 each. Write and solve an inequality to show the number of balloons Michael can buy.

Solve the inequality.

1

3

2

15

3

20

4

30

31

Mary has $110 to spend at the mall. She wants to buy a hat that cost $25 and a pair of jeans that cost $40. He also wants to buy some socks that cost $12 each. What is the maximum amount of socks Mary can buy?

1st: What is your inequality?
2nd: What number will come after the inequality?
3rd: What number will have the variable?
4th: addition sign or subtraction sign?

32

Multiple Choice

Mary has $110 to spend at the mall. She wants to buy a hat that cost $25 and a pair of jeans that cost $40. He also wants to buy some socks that cost $12 each. What is the maximum amount of socks Mary can buy?

What inequality matches the situation?

1

$12x\ +\ 65\ \le\ 110$

2

$110\ -\ 65\ <\ 12x$

3

$12x\ +\ 65\ \ge\ 110$

4

$65\ x\ -\ 12\ <\ 110$

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Multiple Choice

Mary has $110 to spend at the mall. She wants to buy a hat that cost $25 and a pair of jeans that cost $40. He also wants to buy some socks that cost $12 each. What is the maximum amount of socks Mary can buy?

How many socks can she buy?

1

4

2

3

4

5

Inequalities Lesson

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