Principles Of Algebra 2025 Study Guide

12k + 15 = 35 +2k

• k = 2

• k = 4

• k = -2

• k = -4

3 ( a + 22 ) = 12a + 30

• a = 8

• a = 2

• a = 4

• a = -2

6x + 5 = 10 + 5x

• x = -5

• x = 6

• x = 4

• x = 5

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides
• Add the 2a and a 
• Distribute 4 to a and -5
• Distribute -4 to a and -5

The goal of solving a one, two, or multi-step equations is to:

• Find the value of the variable

• Find the constant

• Be confused

• Find the coefficient

10x + 9 = 4x - 9

• x = 0

• x = 3

• x = -3

• x = -18

8x - 8 = -4x + 16

• x = 8

• x = 16

• x = 24

• x = 2

7w + 5 = 3w - 15

• w = 5

• w = -2

• w = 2

• w = -5

7x = 4x + 33

• x = 3

• x = 11

• x = 21

• x = 88