Review: Algebra

Distributive Property

100

5(9 + 7)

= 45 + 35

= 80

200

12(11 - 9)

= 132 - 108

= 24

300

11(3x+2y-5z)

33x + 22y - 55z

400

4x(5x - 2y + 3)

20x² - 8xy + 12x

500

5x²(6x + 3y² - 10y + 2)

30x³ + 15x²y² - 50x²y + 10x²

Factoring

100

12 + 10

2(6+5)

200

20x - 24

4(5x - 6)

300

50x + 25x

25x(2 + 1)

400

32x² - 64x

32x(x - 2)

500

36x³ + 9x²

9x²(4x + 1)

Simplifying Expressions

100

5x + 6x

11x

200

3 - y + 13

16 - y

300

8a + 10c - 4a

4a +10c

400

12x³ + 4x - 5x³ - x

7x³ + 3x

500

23x⁴ + 17y² - 15x⁴ - 8y² + 2y +8y

9x⁴ + 9y² + 10y

Add OR Subtract equations

100

x + 3 = 15

x=12

200

x + 23 = 50

x=27

300

x - 27 = 72

x=99

400

x - 13 = 42

x=55

500

Challenge:

x + 10 - 2 = 20

x= 12

Multiply OR Divide equations

100

2x=20

x=10

200

x/4=15

x=60

300

2x=98

x=49

400

x/12=24

x=288

500

Challenge:

2x - 3 = 7

x=5