Inequalities Lesson

Inequalities Lesson

This will walk you through the steps to solving inequalities.

Let's try a practice problem.

 $2d\ +\ 5\ \le\ 15$  

Multiple Choice

What is the first step in solving the inequality?

 $2x\ +\ 5\ \le\ 15$  

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply 2 on both sides

• Divide 2 on both sides

Multiple Choice

What is step two for the inequality?

 $2x\ +\ 5\ \le\ 15$  

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply 2 on both sides

• Divide by 2 on both sides

Multiple Choice

What is the value of x for the inequality?

 $2x\ +\ 5\ \le\ 15$  

• 10

• 5

• 15

• 20

Try another inequality!

 $4b\ -\ 200\ >\ 40$  

Multiple Choice

What answer did you get for the previous inequality?

• 60

• 40

• 240

• 160

Multiple Choice

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

• A

• B

• C

• D

Let's try a few word problems!

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?

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?

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?

• $<$

• $>$

• $\le$

• $\ge$

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?

• 16

• 2

• 4

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?

• 16

• 2

• 4

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?

• Add

• Subtract

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?

• $4p\ -\ 2\ <\ 16$

• $4p\ +\ 2\ >\ 16$

• $2p\ -\ 4\ \ge\ 16$

• $2p\ +\ 4\ \le\ 16$

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.

Now solve your inequality.

• 6

• 10

• 3

• 5

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?

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?

• $<$

• $>$

• $\le$

• $\ge$

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?

• 50

• 4

• 250

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?

• 50

• 4

• 250

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?

• Add

• Subtract

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?

• $4n\ +\ 60\ \le\ 250$

• $4n\ -\ 60\ \ge\ 250$

• $4n\ +\ 50\ \ge\ 250$

• $4n\ +\ 50\ \le\ 250$

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

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?

• $\le$

• $\ge$

• $<$

• $>$

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?

• 25

• 16

• 0.30

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.

What number will get the variable?

• 25

• 16

• 0.30

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.

Adding or subtracting the coefficient and constant?

• Adding

• Subtracting

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?

• $0.30b\ -\ 16\ \ge\ 25$

• $0.30b\ +\ 16\ \le\ 25$

• $16b\ -\ 0.30\ <\ 25$

• $0.30b\ +\ 16\ <\ 25$

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.

Solve the inequality.

• 3

• 15

• 20

• 30

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?

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?

• $12x\ +\ 65\ \le\ 110$

• $110\ -\ 65\ <\ 12x$

• $12x\ +\ 65\ \ge\ 110$

• $65\ x\ -\ 12\ <\ 110$

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?

• 4

• 2

• 3

• 5