Combining Equations

Combining Like Terms

100

3m+2m=

5m

200

8q+6+7=

8q+13

300

m+8+6n-3=

m+5+6n

400

5z-3+3z=

8z-3

500

10k+1+8k+2=

18+3

Combining Equations: Addition

100

What is the result of adding these two equations?
2x + 3y = -5
5x - y = -12

7x+2y=-17

200

What is the result of adding these two equations?
-2x + 7y = -5
-2x - 4y = 6

-4x+3y=1

300

What is the result of adding these two equations?
6x + 2y = -2
3x - 2y = -5

9x=-7

400

What is the result of adding these two equations?

2x + 7y = 4
-2x - 8y = -2

-y=2

500

What is the result of adding these two equations?
5x - 9y = 1
-7x + 2y = -5

-2x-7y=-4

Combining Equations: Subtraction

100

What is the result of subtracting the second equation from the first?
2x + 7y = -8
2x - 5y = -1

12y=-7

200

What is the result of subtracting the second equation from the first?
-4x - 2y = -2
x - 2y = 9

-5x=-11

300

What is the result of subtracting the second equation from the first?
x - 3y = 6
-8x - y =6

9x-2y=0

400

What is the result of subtracting the second equation from the first?
8x - 4y = -4
-3x + 4y = 5

11x-8y=-9

500

What is the result of subtracting the second equation from the first?
-3x + 2y = 7
-3x - 2y = 4

4y=3

Substitution

100

Evaluate if c = 4

-4+12/c

-1

200

Evaluate if n = 2

n-2n

-2

300

Evaluate if k = 2

4k + 7k - 2

20

400

Evaluate if r = 4

6 - 4r + 9

-1

500

Evaluate if z = 7

7 - 4(2 + 6z)

-169

1-Step Equation Word Problems

100

Dan had 12 peaches left at his roadside fruit stand. He went to the orchard and picked more peaches to stock up the stand. There are now 91 peaches at the stand, how many did he pick

79 peaches

200

There were 8 roses in the vase. Melanie cut some more roses from her flower garden. There are now 15 roses in the vase. How many roses did she cut?

7 roses

300

There really 43 maples trees currently in the park. Park workers will plant more maple trees today. When the workers are finished there will be 93 maple trees in the park. How many maple trees did the workers plant today?

50 maple trees

400

Tim's high school played 14 soccer games this year. The team won most of their games. They were defeated during 3 games. How many games did they win?

11 games

500

There were 27 bales of hay in the barn. Tom stacked more bales in the barn today. There are now 50 bales of hay in the barn. How many bales did he store in the barn?

23 bales of hay