Solving Equations Review

Solving Equations Review

Multiple Choice

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

• Find the constant

• Find the coefficient

• Find the value of the variable

• Be confused

Multiple Choice

3x + 7
The variable is:

• 7
• 3
• x
• -4

Multiple Choice

-5y + 8
The coefficient of the variable is 

• y
• 8
• -5
• 2

Multiple Choice

q - 12  =  1

• q = 13
• q = 11
• q = -11
• q = -13

Multiple Choice

10  =  z + 6

• z = 16
• z = -16
• z = 4
• z = -4

Multiple Choice

What is the inverse operation of multiplication?

• addition
• subtraction
• reciprocal
• division

Multiple Choice

How should you show your work to isolate the variable in the following equation?

• Add 2/3 to both sides
• subtract 2/3 from both sides
• multiply by the reciprocal of 2/3
• divide by the reciprocal of 2/3 

Multiple Choice

144=12z

• z=20
• z=11
• z=12

Multiple Choice

Solve for x:

• x = 20
• x = 7
• x = 10
• x = 3

Multiple Choice

12 = 4 - 4x

• -10

• -8

• -4

• -2

Multiple Choice

x/5 - 13 = 20

• 145
• 165
• 180
• 190

Multiple Choice

2 (n + 5) = -2 The first step in solving the following equation is ____________

• add five to both sides
• distribute 2 to all terms in the parenthesis
• add 2

Multiple Choice

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

Multiple Choice

8(7-y) = -24

• y= 2

• y= 10

• y= 15

• y= -5

Multiple Choice

3x + 15 = 3(x + 5)

• No Solution
• x = 15
• Infinitely Many Solutions

Multiple Choice

5x + 6 = 2 + 3x

• one solution x = -2
• no solutions
• infinite solutions
• one solution x = 2

Multiple Choice

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

• one solution
• no solutions
• infinite solutions

Multiple Choice

3x - 8 = 3(x - 4) + 1

• one solution
• no solutions
• infinite solutions

Multiple Choice

6x - 8x + 5 = -2(x + 2) + 7

• One solution
• No solution
• Infinitely Many

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Solve the equation.  $15-2x=-7x$  

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 $m-4=2m$  Solve the equation.

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Solve the Equation  $5m-1=4m+5$  

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Solve the Equation  $-24\ -\frac{1}{8}p=\frac{3}{8}p$  

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Solve the Equation  $12\left(2w-3\right)=6w$  

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Solve the Equation  $2\left(n-3\right)=4n+1$  

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Solve the Equation  $0.1x=0.2\left(x+2\right)$  

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Solve the Equation  $3\left(5p-3\right)=5\left(p-1\right)$