S'21 Inequalities Test Review

Inequalities Test Review

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Multiple Choice

Greater than

• >

• <

Multiple Choice

Less than or equal to

• >

• <

• >

• <

Multiple Choice

Is no more than

• >

• <

• >

• <

Multiple Choice

Is no fewer than

• >

• <

• >

• <

Multiple Choice

Maximum

• >

• <

• >

• <

Multiple Choice

Minimum

• >

• <

• >

• <

Multiple Choice

You must be at least 16 years old to drive a car.

• >

• <

• <

• >

Multiple Choice

Chlorine levels must stay under 8ppms in order to be safe for swimmers.

• >

• >

• <

• <

Multiple Choice

CMS can have up to 15 players on the baseball team before it is full.

• <

• <

• >

• >

Multiple Choice

Match the sentence below to the correct inequality.

Eight subtracted from t is greater than 29

• $8\ -\ t\ >29$

• $t\ -\ 8\ >29$

• $8\ -\ t\ \le29$

• $t\ -\ 8\ \ge29$

Multiple Choice

You can spend no more than $35 on a shopping trip. You want to buy a shirt that costs $14. If you buy the shirt, how much money would you have left?

Which inequality would help you solve this problem correctly?

• $x\ +\ 14\ \le\ 35$

• $x\ +\ 14\ \ge35$

• $x\ -\ 14\ \ge35$

• $x\ -\ 14\ \le\ 35$

Multiple Select

< or >. Select all that apply

• open circle

• closed circle

• dashed line

• solid line

Multiple Select

< or >. Select all that apply

• open circle

• closed circle

• dashed line

• solid line

Multiple Choice

Match the number line

to the inequality.

• $x>-3$

• $x<-3$

• $x\ge-3$

• $x\le-3$

Multiple Choice

Match the graph with its inequality.

• 11 < a

• 11 > a

• 11 ≤ a

• 11 ≥ a

Multiple Choice

Match the number line

to the inequality.

• $x>2$

• $x<2$

• $x\ge2$

• $x\le2$

Multiple Choice

Which inequality matches the graph?

• A

• B

• C

• D

Multiple Choice

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40

Multiple Choice

A willow tree is 5.1 feet tall and grows at a rate of 2.5 feet a year. After how many years will the tree have reached more than 60 feet tall?

• 5.1 + 2.5y ≥ 60

• 60 < 5.1 + 2.5

• 5.1 + 2.5y ≤ 60

• 5.1 + 2.5y > 60

Multiple Choice

Aleris is sending a fancy fruit basket to her grandma for her birthday. Apples cost $3 and oranges cost $2. Aleris can spend a maximum of $24 on the gift.

Write an inequality that describes the situation.

Let x = # of apples

Let y = # of oranges

• 3x + 2y < 24

• 3x + 2y > 24

• 3x + 2y ≤ 24

• 3x + 2y ≥ 24

Multiple Choice

Which point below is NOT part of the solution set?

• (5,2)

• (-1,-2)

• (-2,3)

• (-5,0)

Multiple Choice

Which point below is NOT part of the solution set?

• (0,0)

• (5,2)

• (-4,6)

• (-4,-6)

Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

Multiple Choice

Today we're going to look at systems of inequalities (more than one inequality graphed at the same time).

Do you think (2, -2) would be a solution to this system?

• Yes

• No

Multiple Choice

The solution to a system of inequalities is a(n)...

• piont

• line

• area of a graph

• circle

Multiple Choice

In a system of inequalities, if a point is on a dashed line

• It is a solution

• It is not a solution

• It is only a solution if it borders the double shaded region

Multiple Choice

In a system of inequalities, if a point is on a solid line

• It is a solution

• It is not a solution

• It is only a solution if it borders the double shaded region

Multiple Choice

Is (0,0) a solution to the system?

• Solution

• Not a solution

Multiple Choice

Is (-2,4) a solution to the system?

• Solution

• Not a solution

Multiple Choice

Given the system, determine a solution.

• No solution

• Infinite solutions

• (-5, 5)

• (5, -5)

Multiple Choice

^{Which point is a solution to the system of inequalities?}

• (-8,2)

• (-2,-5)

• (0,6)

• (4, 3)

Multiple Choice

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work at most 14 hours before homecoming.

• x + y ≥ 25

  x + y ≤ 8

• 100x + 25 y ≤ 100

  2x + 8y ≤ 14

• x + y ≥ 100

  8x + 25y ≤ 14

• 8x + 25y ≥ 100

  x + y ≤ 14

Multiple Choice

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make a maximum of 40 pieces of jewelry. Which inequalities represent this situation?

• 2x + 3y > 100

  x + y ≤ 40

• 100x + 2y > 3

  x + y ≤ 40

• 100x + 40y > 100

  3x + 2y ≤ 40

• 3x + 2y > 100

  x + y ≤ 40

Multiple Choice

You flip an inequality symbol when you...

• subtract

• multiply and divide only

• multiple by a negative number

• multiple or divide by a negative number