Inequalities

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.