Solving Multi-Step Equations

Solving Equations

100

-5(3x - 4) + 4 = 114

x = -6

200

10 - (8p + 3) = 9(2p - 5)

p = 2

300

-16(2r - 7) = 4(5 - 3r)

r = 23/5

400

-9 - (18v - 5) = 2(7v-16) - 3v

v = 28/29

500

-8 - 3(w + 13) = 4(w + 11) -7w

No Solution

Solving Absolute Value Equations

100

2 = |8p + 10|

p = {-1, -3/2}

200

|2 + 7v| +11 = 27

v = {-18/7, 2}

300

53 = 5|p - 4| + 8

p = {-5, 13}

400

-51 = 3 - |6 - 12r|

r = {-4,5}

500

5n - 3 = |n + 9|

n = {3}

Solving Inequalities

100

-7a - 11 < 1 - 4a

a > -4 or (-4, infinity)

200

5 - 9(8 - 2x) <= -115

x <= -3 or (-infinity, -3]

300

-5(k + 4) > 2 - (3k + 6)

k < -8 or (-infinity, -8)

400

r + 10 <= -3(2r - 3) + 6(r+3)

r <= 17 or (-infinity, 17]

500

-8m - 12 > -5(m-8) - 3(m - 7)

No Solution

Solving Absolute Value Inequalities

100

|5k + 4| >= 36. Write answer in interval notation.  Type out infinity.

(-infinity, -8] U [6.4, infinity)

200

7|4a - 6| < 6. Write answer in interval notation.  Type out infinity.

(0, 3)

300

2 - 9|p + 7| > -16. Write answer in interval notation.  Type out infinity.

(-9, -5)

400

3|z + 4| - 13 <= -1. Write answer in interval notation.  Type out infinity.

[-8, 0]

500

2 - 5|10 - 2n| >= -28. Write answer in interval notation.  Type out infinity.

[2, 8]

Compound Inequalities

100

-2x - 7 > 1 or x - 2 >= -1.  Write answer in interval notation.  Type out infinity.

(-infinity, -4) U [1, infinity)

200

-13 <= 3 + 8p <=11. Write answer in interval notation.  Type out infinity.

[-2, 1]

300

37 > 7 - 6x > -17. Write answer in interval notation.  Type out infinity.

(-5, 4)

400

6v + 38 <= -4 or 2(v + 3) >= -2. Write answer in interval notation.  Type out infinity.

(-infinity, -7] U [-4, infinity)

500

4(1 - k >= -16 or 7 - 6k < -41. Write answer in interval notation.  Type out infinity.

(-infinity, 5] U (8, infinity)