Equations and Solutions Adding Subtracting Equations

Solve:

7x + 19 = -2x + 55

• 4

• 14.8

• 8.2

• -4

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

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

What is the first step in solving this equation:
5x + 7 = 12

• Divide by 5

• Subtract 5

• Multiply by 7

• Subtract 7

Solve the equation.

x + 9 = -5

Mathematical Equivalence

OFF

n + 1 = - 15

• n = -1

• n = - 14

• n = - 16

• n = 10

y + 6 = 3

• y = - 3

• y = 0

• y = 9

• y = -18

In order to solve 6j - 9 = 27, I would first ​ (a)   , then ​ (b)   .

• add 9 to both sides

• subtract 9 from both sides

• divide by 9 on both sides

• divide both sides by 6

• subtract 6 from both sides

• add 6 to both sides

x - 3 = 5

• x = 8

• x = 2

• x = -2

• x = 3

x + (-18) = 34

Mathematical Equivalence

ON