7th Grade: Solving Equations

One Step Equations

100

Solve

 7x=77

x = 11

200

Solve 

b - 6= 12

b = 18

300

Solve

5g = 70

g = 14

400

Solve

x/5  = 30 

x = 150

500

Solve 

55x = 3300

x = 60

Two Step Equations

100

3x + 10 = 46

x=12

200

Solve 

2x -3 = 9

6

300

Solve

5x - 4 = 21

x = 5

400

4x - 8 = 40

x=12

500

-x + 3 = 11

x = -8

Distributing

100

4(x+5) = 44

x=6

200

6(x+3)=30

x=2

300

-3(2 - x) = 24

x=10

400

-(x-7)=7

x=0

500

solve -2(x + 4) = 12

x = -10

Combining Like Terms.

100

simplify  a + 3k + 6a - k

7a + 2k

200

2x + 3y + 4 + 4x + 10 

6x + 3y + 14

300

simplify 7r + 2K - 1 + 3r -k

10r + k -1

400

Solve

4x + 7 + 3x = 49

x = 6

500

5x + 3 -4 = 105

x = 21.2

Vocabulary

100

What is a variable?

A letter or symbol that represents an unknown value.

200

How do you define a coefficient?

A number that multiplies or divides a variable; a coefficient always has a variable.

300

What is a constant?

A fixes value; a number that stands on its own.

400

What are Like Terms?

Two or more terms in a variable expression that have the same variable factors.

500

What are equivalent expressions?

Expressions that have the same value for every possible value of the variable.