Solving Equations

Vocabulary

100

A letter that represents an unknown value in an equation.

Variable

200

A number sentence.

Equation

300

To find the value of the variable

Solve

400

To do the opposite operation. Example: The opposite of multiplication is division.

Inverse Operation

500

To get the variable alone

Isolate the Variable

Solve for X:1-step

100

9 + X = 25

X=16

200

15 - X = 2

X=13

300

X/3=9

X=27

400

8X=64

X=8

500

125/X=

X=5

Combine Like Terms

100

2X+4+7X

9X+4

200

4+8+9x

12+9x

300

14+9+3x+15x

23+18x

400

6+2+4x+13x+5x

8+22x

500

11x+2x+16x+4+10

29x+14

Distributing

100

5 ( a + 1)

5a+5

200

2 ( 2 + b )

4+2b

300

5 ( 9 - n )

45-5n

400

2(9+12n)

18+24n

500

15n(2+20)

30n+300n

Solve for X:2-step

100

5(2 + 1x)+3=23

X=2

200

7x + 9(x + 3x) + 2 = 59

X=3

300

7(2 + 3x) + 16x= 88

X=2

400

5x + 4x(2 + 1)= 51

X=3

500

8(1 + x) + 3x + 2= 76

X=6