Solving Equations

Solving Equations Quiz

Practice Solving all equations

Reminder

• Isolate the variable and draw the line

• Undo addition/subtraction first

• Undo multiply/divide second

Multiple Choice

What is the solution of 3w = 30

• 6

• 9

• 10

• 12

Multiple Choice

What is the solution of 9 + k = 18

• 18

• 9

• 8

• 7

Multiple Choice

The steps in solving 5b - 6 = 24 are:

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

Reminder: isolate the variable first and draw the line.

• Undo Add/Subtraction

• Undo Multiply/Divide

Multiple Choice

-3a + 8 = 14

• a= -2

• a= -7.5

• a= 2

• a= 6

Multiple Choice

33 = 4a - 7

• a=-10

• a=10

• a=4.5

Distribute then solve

• means multiply each term

• watch your signs

Multiple Choice

Solve:

3(x - 2) = 18

• 6.7

• 4

• 8

• -4

Multiple Choice

Solve for x.

2(x + 15) = -6

• x = -10.5

• x = -18

• x = 18

• x = 10.5

Multiple Choice

Use the Distributive Property to solve the equation.
4( x + 2) = 16

• -2
• 0
• 1
• 2

combine like terms

• make sure you take the signs in front of each variable or constant

• then undo add/subtract

• then undo multiply/divide

Multiple Choice

Solve for x:

4x + 5x = 27

• x = 27

• x = 3

• x = -27

• x = 0

Multiple Choice

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

Multiple Choice

-5x-30-x = -6-18x

• x = 2

• x = 3

• x = -2

Reminder of the following key steps

• 1 - distribute first (if parenthesis)

• 2 - combine like terms (if like terms)

• 3 - move variable to left hand side of the equal to sign (if variables on both sides)

• 4 - Undo Add/Subtract

• 5 - Undo Multiply/Divide

Multiple Choice

Solve the equation.

-3m - 25 = - ( -1m + 5)

• -5

• -13

• -2

• 3

Multiple Choice

Solve the equations.

-2n + 32 = 5(8n - 2)

• n = 1

• n = - 4

• n = - 16

• n = 2

Multiple Choice

Solve:

6(5x - 3) + 2 = 14

• 2

• .5

• -1

• 1

Multiple Choice

-11 + 3(b + 5) = 7

• 1

• -1

• 3

• -3

Multiple Choice

Solve:

2(2x + 3) = -6(x + 9)

• 1.2

• 6

• -6

• 7.5

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

2x + 3(5x - 7) = 47

• x = 1
• x = 2
• x = 3
• x = 4

Multiple Choice

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4