Algebra Concepts Review

Fractions

100

6/10 + 4/5

7/5

200

3/4 - 3/8

3/8

300

5/12 + 1/2

11/12

400

8/9 + 2/3 + 7/9

7/3

500

7/3 - 1/2 + 5/6

8/3

Proportions

100

x/42 = 23/21

x = 46

200

5/x = 25/35

x = 7

300

30/16 = 45/x

x = 24

400

(x+7)/8 = 5/4

x = 3

500

(2x+1)/3 = (x+4)/6

x = 2/3

Solving Linear Equations

100

3 = 3(x - 9)

x = 10

200

(x - 2)/3 = 2

x = 8

300

3(x - 8) + 2 = 5

x = 9

400

6(-2x + 4) = 6 - 10x

x = 9

500

8(3x + 8) + 7 = -10 + 1 + 8x

x = -5

Solving Quadratic Equations with Square Roots

100

x² = 25

x = +- 5

200

x² - 32 = 68

x = +- 10

300

x² = 10

x = +- sqr(10)

400

3x² = 75

x = +-5

500

7x² +28 = 42

x = +- sqr(2)

Simplifying Expressions

100

2(2x + 1) + 3x

7x + 2

200

-4 + 7(1 - 3x)

-21x + 3

300

9x + 10(5x - 1)

59x - 10

400

-10(1 - 9x) + 6(x - 10)

96x - 70

500

-7(x + 3) - (1 + 8x)

-15x - 22