8.PFA.5 Inequalities

Vocab

100

This term describes when one value is smaller than another value.

What is less than?

200

This term means opposite.

What is inverse?

300

This term means a mathematical phrase that does not include an equal sign.

What is an expression?

400

When a value must be at least another value.

What is greater than or equal to?

500

This term describes multiplying a value outside of the parenthesis by the two values inside the parenthesis.

What is the distributive property?

Multi-step Inequalities

100

-2x-8<-4

x> -2

200

2x+5+x> -3x-7

x> -2

300

5x+7-2x>=9-3x+16

x>=3

400

6(x+2)<=2x-4

x<=-4

500

x+12+x>=7x-13

x<=5

Distribution

100

4(x+5)> 56

x>9

200

3(-2x-9)<15

x> -7

300

What values make the following inequality true?

1/2(4x-10)<35

All numbers less than 20.

400

4(x+5)>=x-4

x>=-8

500

8(2x-5)<=2(3x+18)

x<=7.6

Words to Algorithm

100

Turn the following problem into an inequality.

Gregory wants to build a rectangular fence around his yard for his dog. He wants to spend at most 90 feet of fencing. The length can be determined using the formula 9x+7, and the width can be found using the formula x+8.

2(9x+7)+2(x+8)<=90

200

Johnny has $75 to buy movie tickets for him and his friends. Each ticket costs $13, and he wants to have at least $20 left over to buy snacks. How many tickets can Johnny buy?

x<=4.23

300

You and two of your friends are going to see Wicked on Broadway. All of you buy tickets for $50 and commemorative cups. You can spend no more than $186. How much can you spend on the cups?

Less than or equal to $12.

400

Joe has $1250 in a savings account at the beginning of the summer. He wants to have at least $250 in the account by the end of the summer. He withdraws $75 each week for food, clothes, and movie tickets. How many weeks can he continue this?

x>=13.33

500

Jessica and her 3 friends went to the movies. They each bought a ticket for $9 and 3 snacks. They also bought one large popcorn for $5.00. They had $71. What is the most the snacks could have cost?

What is no more than $2.50.

Select all Correct

100

Select all the correct values for x.

4(x+3)>8

5, -8, 0, -1, 3

5, 0, 3

200

Select all the correct values for x.

9x+7-3x<=-29

-6, -9, 0, -3, -12

-6, -9, -12

300

Select all the correct values for x.

-3x+8<32

0, -4, -8, -10, -14

0, -4

400

Select all the correct values for x.

4(x+7)-5>=-(x+12)

10, 0, 7, 12, 5

All of them.

500

Select all the correct values for x.

3(-x-4)-x>=56

-15, -20, 0, -17, -19

-20, -17, -19