Inequalities and Expressions

Inequalities

100

Solve AND graph the solution.

x - 9 ≤ -3

x ≤ 6

*Graph is a closed dot at 6 pointing to the left.

200

Solve AND graph the solution:

8 < x - (-3)

x > 5 or 5 < x

*Graph is an open dot at 5 pointing to the right.

300

Name the inequality symbol associated with EACH phrase:

1. No more than

2. At least

3. Fewer than

1. ≤

2. ≥

3. <

400

Solve AND graph the solution:

-2x - 5 ≤ 15

x ≥ -10

*Graph is a closed dot at -10 pointing to the right.

500

Solve AND graph the solution:-5y + 2 < -13

y > 3

*Graph is an open dot at 3 pointing to the right.

Simplify

100

-c - 12c

-13c

200

-12n + 7 - 4n - 5 + 3m

-16n + 3m +2

300

-5x² + 7x² + 3x

2x² + 3x

400

7 + 2c - 11 + (-4c) + 5c

3c + -4

500

1/4n + 3 + 2/3n - 5

11/12n + -2

Add and Subtract Expressions

100

(2x + 3) + (5 - 4x)

-2x + 8

200

(9x - 1) + (3x - 6)

12x - 7

300

(-x + 1 ) - (4x + 3)

-5x - 2

400

(7x - 9) - (8x - 12)

-x + 3

500

2(3x - 7) - 4(2x +9)

-2x + -50

Factor

100

Factor: 6x - 3y

3(2x - y)

200

Factor: 16x - 48

16(x - 3)

300

Factor: 24xz + 18xy

6x(4z + 3y)

400

Factor: 45abc + 15bcd + 30 abcd

15bc(3a + d + 2ad)

500

Simplify and Factor: 12x + 4x + 25y + 15y

8(2x + 5y)

Evaluate

100

Evaluate when x = -4, y = -5, and z = -1:

10y - x

-46

200

Evaluate when x = -4, y = -5, and z = -1:

3z - y

2

300

Evaluate when x = -4, y = -5, and z = -1:

2xz - y

13

400

Evaluate when x = -4, y = -5, and z = -1:

3x / (y+2)

4

500

Evaluate when x = -4, y = -5, and z = -1:

1/2(x)(-y) + 2z

-12