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 $$ 10$ per job and $$ 0.20$ per square foot. If Virginia earned $$ 50$ for painting one job, how many square feet did she paint at the job?

2.

Renting the ice-skating rink for a party costs $$ 200$ plus $$ 4$ per person. If the final charge for Dane’s birthday party was $$ 324$ , how many people attended his birthday party?

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

3.

The notation $12 < x$ means the same thing as $x < 12$ . It works just like $12 = x$ and $x = 12$ .

4.

The inequality $- 2 (x + 10) \geq 75$ says the same thing as $- 2 x - 20 \geq 75$ . I can multiply by $- 2$ on the left side without reversing the inequality symbol.

5.

When solving the inequality $10 x + 22 < 2$ , the second step should say $10 x > - 20$ because I added $- 22$ to both sides and it changes the inequality symbol.

6.

When solving the inequality $- 5 x \geq 45$ , the answer is $x \leq - 9$ because I divided both sides of the inequality by a negative number.

7.

The words that describe the inequality $x \geq 100$ are “ $x$ is greater than or equal to $100$ .”

Set

14.

$x - 3 < - 5$

15.

$\frac{x}{5} > - \frac{3}{10}$

16.

$- 10 x > 150$

17.

$\frac{x}{- 7} \geq - 5$

Solve each inequality.

18.

$x - 5 > 2 x + 3$

19.

$2 (x - 3) \leq 3 x - 2$

Go

Evaluate each of the functions as indicated.

20.

$g (x) = 7 x - 8$

a.

$g (3) =$

b.

$g (- 5) =$

21.

$h (x) = - 13 x + 9$

a.

$h (- 6) =$

b.

$h (4) =$

Solve each of the equations for the indicated variable.

22.

$d = r t$ Solve for $r$ .

23.

$A = \frac{b h}{2}$ Solve for $h$ .

24.

$F = \frac{9}{5} C + 32$ Solve for $C$ .