Multi- Step Equation Review

Responsive Math: Multi- Step Equation Review

Materials: Have calculator and scratch paper ready!

Check in Question: What would you most most want changed in responsive math next term? (Answer in chat!)

Part 1

Simplifying Expressions

Fill in the Blanks

Simplify the following expression using any method:

 $\frac{1}{2}n-\frac{3}{4}\left(8n-\frac{1}{2}\right)+5$  

Key Point 1

The distributive property and combining like terms can be used to simplify expressions

Multiple Choice

CFU #1: Which expression is equivalent to

 $-\frac{1}{2}-\left(4.5x+3\right)-0.8x$  

• -5.3x-1.5

• -5.3x-3.5

• 3.7x+1.5

• 3.7x-1.5

Part 2

Two Step Equations

Open Ended

1.   Maryann solved the equation below and got a solution of 7. Do you agree or disagree with her solution? If you agree, prove it is the correct answer. If you disagree, explain the error she made.

 $\frac{x}{3}-3=18$  

Key Point 2

Inverse operations can be used to solve equations algebraically

Multiple Select

CFU #2: Use the following equation to determine which statements below are true. (Select All that apply)

 $\frac{n}{3}+25=29$  

• The correct first step is to multiply both sides by 9
  

• N = 36

• N = 4/9

• N= 4/9 is incorrect; the error is that the wrong inverse operation was applied

• N = 36 is incorrect; the error is that the wrong inverse operation was applied

Part 3

Multi Step Equations

Fill in the Blanks

Determine the value of n:

5n + 4 + (-2n) -8 =8

Key Point 3

Multi step equations must be simplified before solving

Multiple Choice

CFU #3: Find the value of x:

 $\frac{1}{2}\left(4x-8\right)=12$  

• -8

• 8

• 24

• 32

Criteria for Success

• Distributive Property is applied if needed

• Like Terms are combined on each side of the equal sign

• Inverse operations used to isolate variable

• Answer in form of x=#

• Answer checked using substitution

Multiple Choice

Solve for k in the equation:

9-10= k -4 -6k +18

• 3

• -3

• -5

• -15

Fill in the Blanks

Solve for h:

 $-8\frac{1}{3}\ =\ -\frac{1}{3}\left(9h-\ 2\right)$  

Fill in the Blanks

Solve for n:

 $0.5n-3\left(-\frac{1}{2}n\ +5\right)=13$  

Fill in the Blanks

Find the value of g:

-5 + 3g + (-3) - 8g = -18

Fill in the Blanks

Solve the following equation:

 $5\left(x+9\right)-2\left(1-x\right)=1$  

Fill in the Blanks

Solve the following equation:

 $-3\left(3+x\right)+4\left(x-6\right)=-4$  

Fill in the Blanks

Solve the following equation:

 $-3=12y-5\left(2y-7\right)$  

Fill in the Blanks

Solve the following equation:

 $27=3x-3\left(6-2x\right)$