Lesson 4 Greater Than? Develop Understanding

Ready

Write an equation that describes the story. Then, answer the question asked about the story.

1.

Virginia’s Painting Service charges per job and per square foot. If Virginia earned for painting one job, how many square feet did she paint at the job?

2.

Renting the ice-skating rink for a party costs plus per person. If the final charge for Dane’s birthday party was , how many people attended his birthday party?

Indicate whether the following statements are true or false. Explain your thinking.

3.

The notation means the same thing as . It works just like and .

4.

The inequality says the same thing as . I can multiply by on the left side without reversing the inequality symbol.

5.

When solving the inequality , the second step should say because I added to both sides and it changes the inequality symbol.

6.

When solving the inequality , the answer is because I divided both sides of the inequality by a negative number.

7.

The words that describe the inequality are “ is greater than or equal to .

Set

8.

How does solving an inequality compare to solving an equation?

Solve for . Indicate if the given value of is an element of the solution set.

9.

a.

b.

Is this value part of the solution set?

10.

a.

b.

Is this value part of the solution set?

11.

a.

b.

Is this value part of the solution set?

12.

a.

b.

Is this value part of the solution set?

Solve each inequality and graph the solution on the number line.

13.

a blank number line

14.

a blank number line

15.

a blank number line

16.

a blank number line

17.

a blank number line

Solve each inequality.

18.

19.

Go

Evaluate each of the functions as indicated.

20.

a.

b.

21.

a.

b.

Solve each of the equations for the indicated variable.

22.

Solve for .

23.

Solve for .

24.

Solve for .