Inequalities

Inequalities (Is X a part of solutions set?)

100

What is the less than or equal to sign?

< =

200

If X = 8, determine if 5x < 39

True or False

False

300

If X = 8, determine if X/2 is less than or equal to 4

True

400

If X = 8, determine if K - 6 > 2

True or False

False

500

The solution for -8x is greater or equal to 56 is 

X is greater than or equal to - 7

True or False

False

When you divide by -8 on both sides to isolate X, you must flip the sign, The correct answer is 

X is less than or equal to -7 

Graph Inequalities

100

A closed circle/dot represents what?

included or not included? 

Included

200

Graph

X ≥6 

Closed Circle above 6

Direction of solution to inequality moves to the right of 6

300

Graph 

15.5 > X

Open Circle on 15.5 

direction of inequality moves to the left of 15.5

400

X ≤ -3

Closed circle above -3

Direction of inequality moves to the left of -3

500

Write an inequality to describe a closed circle above 10 and the direction of inequality moves to the left

x ≤10

Solve Inequalities

100

X - 14 < or = 45

x < or = 59

200

X - 18 < 86

X < 104

300

29 > X + 12

17 > X

400

7x < 98

x < 14

500

x/6 > or = 7 

X > or = 42

Word Problems

100

Missy is getting married and addressing invitations. She has at least 140 envelopes and has addressed 26 of them. 

Write an inequality that describes how many more invitations must be addressed. 

X + 26 ≤140

200

In order to ride a roller coaster, a rider must be greater than 48 inches tall. Right now, Jeff is 45 inches tall. Write an inequality that describes how many more inches Jeff must grow in order to ride the roller coaster.

X + 45 >48

300

Solve: Sam can join a gym for $25.00 per month or flat rate of $500.00. What is the minimum number of months Sam would have to be a gym member to make the flat rate a better choice?

 25 X > 500

 X > 20

400

Max is creating a play list and needs at most 180 minutes worth of music. he currently has 45 minutes. How many minutes of music does Max need to include in the playlist?

X + 45 ≤180

X ≤135

500

A lake is rising at a rate of 4 inches per hour. If the lake rises more than 36 inches, it will cause flood damage.  How long can the lake rise at this rate without causing flood damage? 

4X ≤36

x≤9

Dependent-Independent

100

Which direction represents greater on the number line?  A helicopter travels 70 miles per hour

Right

Independent: hours

Dependent: Miles

200

Identify Independent and dependent variables:

A helicopter travels 70 miles per hour

Independent: hours 

Dependent: miles 

300

Label independent and dependent variables from the list below:

Days:                1 2 3 4 5   

# of sales:        8 16 24 32 40

Independent: Days

Dependent: # of sales

400

Fill in the blank: As the temperature ___________, the chance of snow ______________. 

what is independent variable?

Independent: temperature

Dependent: chance of snow

500

Identify Dependent and Independent Variable

For every guest attending the wedding the cost increases by $85

Independent: guests

Dependent: cost