Algebra

Solving for X

100

3x=21

Divide by 3 on both sides

200

x-16=4

Add 16 to both sides

300

8x+3=35

1. Subtract 3 from both sides

2. Divide both sides by 8

400

-3x+10=9x-14

1. Add 3x to both sides/ Subtract 9x from both sides

2. Add 14 to both sides/ Subtract 10 from both sides

3. Divide both sides by 12/ Divide both sides by -12

500

(x+7)/2 = 2x-16

1. Multiply both sides by 2

2. Subtract x from both sides/ Subtract 4x from both sides.

3. Add 32 to both sides/ Subtract 7 from both sides.

4. Divide both sides by 3/Divide both sides by -3

Linear Equations

100

A line has slope 4 and y-intercept -2. Write the equation of the line.

y=4x-2

200

What is the slope of the line through the points (2,5) and (4,11)?

3

300

A line has slope -2 and passes through the point (3,7). What is the y-intercept of the line?

13

400

Find the equation of the line that passes through the points (3,6) and (7,30).

y=6x-12

500

Line A has the equation

y=1/2 x +4

Line B is parallel to Line A and goes through the point (8,11). What is the equation of Line B?

y=1/2 x+7

Distributive Property

100

3(x+8)

3x+24

200

-4(x+5)

-4x-20

300

2(9x+7)

18x+14

400

-3(4-x)

-12+3x)

500

10-(x-2)

10-x+2

Evaluating Expressions

100

What is the value of the expression

-5x

when x=6?

-30

200

What is the value of the expression

9x-4

when x=3?

23

300

What is the value of the expression

3x+7x-1

when x=2?

19

400

What is the value of the expression

3(x-5)+4x

when x=10?

55

500

What is the value of the expression

14x-8x+5(7-x)

when x=4?

39