Algebra Module Two

Solving Equations

100

x - 6 = 16

What is x = 22

200

3x = 42

What is x = 14

300

44 = 14 - 2x

What is x = -15

400

50x - 43 = 52x - 81

What is x = 19

500

x - 8 + x = 1 - 4x

What is x = 1.5

Simplifying Expressions

100

3(y + 2)

What is 3y + 6

200

3a + 2b - 4a + 9b

What is -a + 11b

300

2(3a - b) -7(-2a + 3b)

What is 20a -23b

400

8 - 3(-x² + 2x - 7)

What is 3x² -6x + 29

500

5x²y - 3xy² +4x²y - 2xy²

What is 9x²y - 5xy²

Literal Equations

100

a + b = c solved for b

What is b = c - a

200

a = lw solved for l

What is l = a/w

300

9w = 4x solved for w

What is w = 4x/9

400

xy + 7 = n solved for y

What is y = (n - 7)/x

500

w = (x - y)/2  solved for y

What is y = x - 2w

Solving Inequalities

100

3x - 12 ≤ -9

What is x ≤ 1

200

x - 10 + 3x < 2

What is x < 3

300

11x + 6 ≥ 14x + 3

What is x ≤ 1

400

-x/3 < 5

What is x > -15

500

3(x - 9) > 3x + 6

No Solution

Solving Compound Inequalities

100

-19 < 3x - 4 < 5

What is -5 < x < 3

200

6x - 14 < -14 OR 

3x + 10 > 13

What is x < 0 OR x > 1

300

6 ≤ x - 2 < 14

What is 8 ≤ x < 16

400

6 ≤ 2x + 10 ≤ 8

What is -2 ≤ x ≤ -1

500

-10x ≥ -50 OR 8x > 3

What is All Real Numbers