Algebra Basics Review

PEMDAS

100

40/4 - (5 - 3)

8

200

2[24 - (12 + 10)] - 3

1

300

8² - 2³ + (13 - 9)

60

400

(5² * 2 - 4 * 3²)/2

7

500

Evaluate if a = 7 and b = 10: b² - ab

30

Combining Like Terms

100

-7x + 5x

-2x

200

n - 10 + 9n - 3

10n - 13

300

(4 + 2x) + (5x + 2)

7x + 6

400

(5a² + 4) - (5a² + 3)

1

500

(3 - 6x² - 8x) - (-6x - 3 - 8x²)

2x² - 2x + 6

Distributive Property

100

4(1 + 9x)

4 + 36x

200

-4(-6x + 7)

24x - 28

300

3x(2x - 4)

6x² - 12

400

9(x² - xy + 3)

9x² - 9xy + 36

500

-x³(-2x² + x - 4)

2x⁵ - x⁴ + 4x³

Expressions

100

Evaluate if x = 4: -2x

-8

200

Evaluate if x = -3: -36/x

12

300

Evaluate if x = 12: 4x - x

36

400

Evaluate if a = -1 and b = 5: a + 2b

9

500

Evaluate if a = 2, b = 3, and c = 4: a² - bc - c

-12

Equations

100

Solve for x: 6x - 8 = -26

x = -3

200

Solve for m: 2(m + 6) = 48

m = 18

300

Solve for a: -8a + 9 + 3a - 1 = 8

a = 0

400

Solve for y: 3(2y - 1) - 10x = 17

y = -5

500

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

x = 3/2