Exponents and Algebra
Simplify using exponent laws.
810/82
88
Find the slope of the line that passes through the points (12,4) and (2,2).
1/5
Simplify.
(2a-a2)+(5a2-3a)
-a+4a2
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
Add.
2/3+5/7
1 8/21
Simplify using exponent laws.
(73x22)3
79x26
Determine the equation of a horizontal line with a y-intercept of 3.
y=3
Simplify.
(2a+3a3)-(2a-2a3+4)
5a3-4
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
Multiply.
9/10 x 1/2
9/20
Solve for x.
12= (2x-4)/2
x=14
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
Solve for x.
-5x+3+x-2=-3
x=1
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
Simplify.
2xy+3x2+xy-2xy-x2
xy+2x2
Solve for x.
3(10x-3)-2x(5)=3(8x+19)
x= -16.5
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
Solve for y.
(8y+2-7)-(2y+1-3y)=7y+4
y=5
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)
Simplify and solve for x=1 and y=5.
4x-2y+8y-x2+y2
58