Lesson 7 More or Less Absolute Practice Understanding

Ready

Determine which of the coordinate pairs are solutions to the equation. Provide justification by showing your work.

1.

$3 x - 5 y = 30$

A.

$(0, 6)$

B.

$(- 5, - 9)$

C.

$(10, 0)$

D.

$(- 3, 9)$

2.

$- 2 x + 8 y = 40$

A.

$(0, 5)$

B.

$(- 8, 2)$

C.

$(14, - 2)$

D.

$(- 20, 0)$

3.

$y = 5 x - 4$

A.

$(0, 5)$

B.

$(- 5, - 19)$

C.

$(4, 16)$

D.

$(- 1, - 9)$

4.

$6 x + 4 y = 48$

A.

$(0, 12)$

B.

$(- 3, 2)$

C.

$(8, 0)$

D.

$(- 6, 21)$

Set

Solve the absolute value inequalities and graph the solutions on the number line.

5.

$| x - 7 | > 4$

6.

$| 8 x + 4 | \leq 28$

7.

$3 | \frac{x}{4} | + 2 < 5$

8.

$3 | 2 x - 5 | - 6 \geq 15$

Write an absolute value inequality for each number line graph provided.

9.

10.

Create the missing representation for the inequalities.

11.

Description: All of the values that are less than away from $12$ .

Number Line:

Inequality:

12.

Description:

Number Line:

Inequality:

Go

Solve each equation for the indicated variable. Show your work as justification for your solution.

13.

$y = 3 x - 12$ solve for $x$ .

14.

$x - 20 y = 60$ solve for $y$ .

15.

$y = m x + b$ solve for $x$ .

16.

$A x + B y = C$ solve for $y$ .