Inequalities

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x + 13.50 ≤ 40

Jimmy and Joe are given the following problem: Cara has $40 to spend at the grocery store. She has already spent $13.50 on laundry detergent. Write an inequality that describes how much money Cara has left to spend at the grocery store.

Yes

Karen is given the following inequality: x < 10 She says that when she shades her graph it should have an open circle and be shaded to the left towards the smaller numbers. Is Karen correct?

x + 10 = 45

Mary ran 10 miles more than Sam. Mary ran 45 miles this week. Write an equation to represent the scenario.

4x ≤ 48 x ≤ $12

Caleb and his 3 friends went to a restaurant. They decided they wanted to spend no more than $48 total. Assuming each person could pay the same amount, write an inequality that describes the scenario.

Time

Alyssa rides her bike at a steady speed of 4 miles per hour. Which of the following is the independent variable? Speed Time Distance 5

x = 3

Solve: x + 2 = 5

This symbol means "Less Than or Equal To"

The number is included as part of the solution.

What does the closed dot mean on a number line?

x>12

Audrey must sell more than 12 packs of cookies to qualify for the prize.

Distance

Identify the dependent variable: Mallory drives a 70 miles per hour all the way to Canada. Which of the following is the dependent variable: Speed Time Distance 70

No

Jennifer is shading a graph for the inequality: x ≥ 5. She says the graph should have an open dot and be shaded to the right towards numbers larger than five. Is she correct?

12 + 0.75x

The fair charges $12 for admissions and $0.75 per ride. Write an expression that represents the situation.

x≤4300

The maximum number of people the cafeteria can seat is 4300. Write an inequality

x + 10 ≥ 20

There are blue and green beads in a bag. There are 10 blue beads. I know that there are at least 20 beads in the bag. Write an inequality to describe the number of beads contained in the bag.

This symbol means "greater than or equal to"

>

This symbol means "greater than"

<

This symbol means "less than"

The number is not included as part of the solution.

What does the open dot mean on a number line?

x≥78

Write an inequality: Karen must make at least a 78% on her next test to pass the class.

x≥80

Write an inequality: You must score at least 80% on your test to receive tickets.


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