Evaluate, simplify, or solve

Simplify: −10(x − 7) −7(x + 2)

-17x+56

Evaluate z ÷ 6 + x + x − 5; use x = 1, and z = 6

-2

Evaluate: p(q ÷ 3 −p); use p = −6, and q = −3

-30

Solve: |3x-4|+5<27

-6 < x < 26/3

Solve: 4|2x+3|-7<9

-7/2 < x < 1/2

Evaluate y +z + 2; use y = −6, and z=5

1

Simplify: 7(1 + 9x) −8(−5x − 6)

103x+55

Simplify: 3[2(x-3)+2]+5(x-3)

11x-27

Evaluate 6 + q + 5 −(q −p) + 15; use p = 1, and q = 1

27

Simplify: −8x +6(10 + 6x)

28x+60

Solve: 12-3(2x+1)=7x-3(7+x)

3

Solve: 12-2(3x+1)=4x-5

3/2

Write and solve an equation: The measures of an angle and its complement differ by 22 degrees. Find the measure of the smaller angle.

34

Evaluate: x(z + 3) + 1 + 3 −y; use x = 6, y = −5, and z = 2

39

Write and solve and equation: The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. Find the width.

4.5

Solve: 0.2(x+3)-4(2x-3)=3.4

46/39

Simplify: 9(7x + 8) +3(x − 10)

66x+40

Simplify: −9 −6(−x + 5)

6x-39

Simplify: −10(−8x + 9) − 8x

72x-90

Simplify: −2(−6x − 9) −4(x + 9)

8x-18

Simplify: 1 +4(2 − 3x)

9-12x

Evaluate: −3 ÷ 3(a +c(b + 5) −(−6 +a)); use a = 1, b = −6, and c = −4

-10

Solve: 3|5x-1|+9<23

-11/15 < x < 17/15

Solve: -2|x+4|<22

all real numbers

Solve: -6(2x-10)+12x<180

all real numbers

Solve: -7(3x-7)+21x>50

no solution

Write and solve an inequality: The length of a picture frame is 3 in. greater than the width. The perimeter is less than 52 in. Describe the width, x.

x< 11.5

Solve: 2|4x-1|+6>20

x<-3/2 or x>2