Algebra 2 Solving Equations Review

Evaluate Expressions

100

m + p ÷ 5 ; m = 1, p = 5

2

200

x³ ÷ 3 - y ; x = 3, y = 1

8

300

y - z + xz ÷ 6 ; x = 3, y = 4, z = 4

2

400

(a² - b) ÷ 6 + |-3 - 9| ; a = 5, b = 1

16

500

c ⋅ (bc / 4) - (7 - a) ; a = 4, b = 8, c = 5

47

Multi-step Equations

100

2b + 1 = 3

b = 1

200

-3 + k/2 = -7

k = -8

300

5(x - 7) = -20

x = 3

400

-(2x - 4) / 3 = 16

x = -22

500

-6(3x + 4) = 3(-8 - 6x)

all real numbers

Combining Like Terms

100

-10p + 9p = 12

p = -12

200

6r - 1 + 6r = 11

r = 1

300

-10 = -14v + 14v 

no solution

400

-5n - 8(1 + 7n) = -8

n = 0

500

-5(4x - 2) + 4 = -2(3 + 6x) - 3x

x = 4

Variables on Both Sides

100

5p - 14 = 8p + 4

p = -6

200

-(5a - 5) = -5a + 5

all real numbers

300

5n + 34 = -2(1 - 7n)

n = 4

400

2(12a - 11) = -4(1 - 6a)

no solution

500

-5(1 - 5x) + 5(-8x - 2) = -4x - 8x

x = -5

Solving with Fractions

100

7/4x + 11/2 = 9/8

x = -5/2

200

5/2x + 8/3x = 31/12

x = 1/2

300

-17/6 = a - 10/3 - 2/3a

a = 3/2

400

-7/6 - k = 1/3(k - 7/2)

k = 0

500

-5/3(-1/2k + 1) = -5/2 - 2(2/3k + 5/3)

k = -25/13