Simplifying Expressions
One Step Equations
Two Step Equations
Multi-Step Equations
Variable on Both Sides
Equations in Context & Special Cases
100

Simplify the following expression:

-7+x+4.5x

-7+5.5x

100

Solve for x:

x-15=7

x=22

100

Solve for z:

7z+2=23

z=3

100

Solve for z:

2(2z+6)=44

z=8

100

Solve for x:

4x+8=8x+16

x=-2

100

Solve for x:

-7(3x+3)=-21x-21

Infinitely many solutions/All real numbers

200

Simplify the following expression:

8(10x+10y-3)

80x+80y-24

200

Find the value of x in the equation below:

4x=8

x=2

200

Solve for c:

-49=2c-29

c=-10

200

Solve for y:

-4(y+7)=36

x=-16

200

Solve for x:

-8x+5=-6x+3

x=1

200

Solve for x:

-5(-4x-5)=-4(-5x-6)

No solution

300

Write an equivalent expression by distributing the "-" sign outside the parentheses:

-(-8r-8.7)

8r+8.7

300

Solve for x:

8=x/5

x=40

300

Solve for x:

-43=x/5-47

x=20

300

Solve for x:

-5(x-5)+4x-5=21

x=-1

300

Solve for x:

3x-8+9x=12+7x+20

x=8

300

Nicole buys ice cream and lemons at the store.

-She pays a total of $18.80.

-She pays $2.52 for the ice cream.

-She buys 4 bags of lemons that each cost the same amount.

Write an equation that could be used to determine x, how much each bag of lemons costs.

4x+2.52=18.8

400

Write an equivalent expression by distributing the "-" sign outside the parentheses:

-(-4.9b+4c+3.2)

4.9b-4c-3.2

400

Find the value of x in the equation below:

19.2=x+18.8

x=0.4

400

Solve for x:

-x/8-11=-2

x=-72

400

Solve for x:

-4(2x+1)+4x+3=-17

x=4

400

Solve for x:

-2.2x=-1-0.9(x+9)

x=7

400

Under her cell phone plan, Anna pays a flat cost of $58 per month and $4 per gigabyte. She wants to keep her bill at $62.40 per month. How many gigabytes of data can she use while staying within her budget?

She can use 1.1 gigabytes.

500

Rewrite in simplest terms:

7(-8f-2)+10(-5f+7)

-106f+56

500

Solve for u and simplify your answer:

6=-4/3u

u=-9/2

500

Solve for x:

-0.4x-1.9=-0.38

x=-3.8

500

Solve for x:

-4=-8-2(4x+6)-8x

x=-1

500

Solve for x:

-6x-4-2x=2(x+5)-1

x=-1.3

500

Amelia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.60 plus $0.50 per mile. The total fare was $13.60, not including the tip. Write and solve an equation which can be used to determine m, the number of miles in the taxi ride.

Equation: 0.5m+4.6=13.6 

Answer:  m=18 

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