Simplifying
Solving 7th Grade Equations
Solving 8th grade Equations
Word Problems
100

Simplify the following expression by combining like terms: 5x + (-3x) + 7y - (-6) + 4

What is 

2x + 7y +10

100

Solve 4x - 10 = -18

What is x = -2

100

Solve 10x + 6 = 6x - 18

What is x = -6

100

Write an equation that models:

Sophia made 10 necklaces with the same amount of beads on each necklace. She also still had 240 beads left in the container. If the container originally held 400 beads, how many beads are on each necklace? 

What is 10n + 240 = 400 where n is the number of beads on each necklace.

200

Simplify the following expression:

1/2 x-3/4 + 4/5 x - 2y +7/8

What is 

13/10 x - 2y + 1/8

200

Solve 

2/3 x + 4 = -16

what is x = -30

200

Solve 10 - 4(2x + 1) = 2x + 4+ 2

What is x = 0

200

Write an equation that models:

Mrs. Jeffries gave each of her 25 students a certain number of pencils at the start of the year. In November she got a new student and only had three to give him, so she took 1 pencil back from each child so she'd have more to hand out if she got any more students. If she originally purchased 128 pencils, how many pencils did each child originally receive?

What is 25(n - 1) + 3 = 128 where n is the number of pencils each child originally received.

300

Simplify 3(2x + 6) - 10x

What is -4x + 18

300

Solve 7(2x - 6) + 18 = -4

what is 

x = 10/7

300

Solve 

3/4 (x + 6)=x - 1/2

What is x = 20

300

The situation "Robert had $100 to spend on flowers for his girlfriend and each rose costs $4" can be modeled by the expression 100 - 4r. Write the expression in factored form and explain the meaning of each part.

What is 4(25 - r) where 4 is the cost of each rose, 25 is the maximum roses he can buy and r is how many he decides to buy.

400

Simplify 4x - 2(3x + 8) - 10

What is -2x -26

400

8(2/3 x + 4) - 4/3 x + 2 = 2

Solve 

What is x = -8

400

Solve 9(2x + 5) = 6x + 18 + 12x + 10

What is "No Solution"

500

Write in factored form 

8x - 44

What is 4(2x - 11)

500

Solve 10 -2(4x - 9) = -10x +24 - (-4)+ 2x

What is "Infinite Solutions"

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