Solving Algebraic Equations

Properties to Solving Equations

100

14 + x = x + 14

Commutative Property of Addition

200

3( x - 7) = 12

3x - 21 = 12

Distributive Property of Mult. over addition

300

18 + 3x = 9

3x = -9

Subtraction Property of Equality

400

3(y - 7) + 5 = 42

3y - 21 + 5 = 42

Distributive property of Multiplication over Addition

500

7y + 8 = 4y - 20

3y + 8 = -20

Subtraction Property of Equality

Combine Like Terms (Basic)

100

Solve x+9-7 = 24

x = 22

200

Solve 4v-5-6v = 9

v = -7

300

Solve 5A - 13 + 4A +13 = 27

A = 3

400

Solve 24 - 6x +24x - 6 = 36

x = 2

500

Solve 13b + 8 - 6b - 15 = 8b -6 + 20 + 2b

b = -7

Distribute (Basic)

100

Solve. 3(q+1)= -9

q = -4

200

Solve -2(2q + 14) = 0

q = 7

300

Solve  -4(3x+12) = -96

x= 4

400

Solve -15x = 3(3x + 8)

x = -1

500

Solve -2(y - 7) + 8(2y + 1) = 0

y - -11/7

Combine Like Terms (Advanced)

100

Solve. -3x+12-16+7x = 0

x = 1

200

Solve. -15x-26+12x-12+8x = 2

x = 8

300

Solve. 12p+9p-6p+14-26+2p = 32

p = 2

400

Solve. -8g+12-15g-2g-17 = 5g - 35

g = 1

500

Solve. -8x+12-8x+15+15x-22-x = 15

x = -5

Simplify Algebraic Expressions

100

Solve. 4(b-6)+19 = 7

b = 3

200

Solve. 4(-3p+6)-3 = -3

p = -2

300

Solve. 4x-5(x+6) = 35

x = 5

400

Solve. 3(5-2n)+9n = 2(n + 7)

n = -1

500

Solve. -2(x-6)+3(x+5) = 0

x = -27