Exponents and Algebra
Equations of Lines
Algebra
Linear Relations
Fractions/Algebra
100

Simplify using exponent laws.

810/82

88

100

Find the slope of the line that passes through the points (12,4) and (2,2).

1/5

100

Simplify.

(2a-a2)+(5a2-3a)

-a+4a2

100

For this table of values, state whether the rate of change is positive, negative or zero. 

 x|y

 0|0

 1|4

 2|8

 3|12

positive

100

Add.

2/3+5/7

1 8/21

200

Simplify using exponent laws.

(73x22)3

79x26

200

Determine the equation of a horizontal line with a y-intercept of 3.

y=3

200

Simplify.

(2a+3a3)-(2a-2a3+4)

5a3-4

200

Find the rate of change from the table of values.

 x|y

 0|2

 2|6

 4|10

 6|14

 8|18

10|22

2

200

Multiply. 

9/10 x 1/2

9/20

300

Solve for x.

12= (2x-4)/2

x=14

300

A line has a slope of 1/2 and passes through the points (6,6). Write the equation of the line in y=ax+b form.

y=1/2x+3

300

Solve for x.

-5x+3+x-2=-3

x=1

300

Find the equation of the line using the table of values. 

 x|y

 0|3

 1|8

 2|13

 3|18

 4|23

y=5x+3

300

Simplify.

2xy+3x2+xy-2xy-x2

xy+2x2

400

Solve for x.

3(10x-3)-2x(5)=3(8x+19)

x= -16.5

400

The equation of the line is y=3x. The line has been rotated 90° about the origin in the clockwise direction. Write the equation of the new line.

y=-1/3x

400

Solve for y.

(8y+2-7)-(2y+1-3y)=7y+4

y=5

400

What is the point of intersection of these lines.

x|y                    x|y

1|0                    1|2

2|4                    2|5

3|8                    3|8

(3,8)

400

Simplify and solve for x=1 and y=5.

4x-2y+8y-x2+y2

58