Solving Multi-Step Equation with Modeling

Solve:

7x + 19 = -2x + 55

• 4
• 14.8
• 8.2
• -4

Which equation will end in "no solution"?

• 2w - 11 = 3w + 5

• 2(w + 8) = 2(2w - 19)

• w + 7 + w = 2w - 9

• 2w - 6 = 2(w - 10) + 5w

-15 = 5a +12- 2a + 6

• -11
• -3
• 10
• 7

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

• add 1 to both sides

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 error?

• Adding 2x to 3x

• Subtracting 5 from both sides

• Adding 2x to -2x

• Dividing by 5 on both sides

2x - 3 + 4x = 27

• 12
• 4
• 5
• 15

5x - 4 + 2x = 3

• 1
• 2
• 3
• 4

Solve.
(2x - 3) / 4  = 9

• x = 24
• x = 12
• x = 17.5
• x = 19.5

is 7 a solution to the equation
3x+8-x=5x-4

• yes
• no
• maybe