CHAPTER 8 REVIEW

Linear Equations

100

Write an equation of the line passing through the points (0,0) and (3,6).

y = 2x

200

Write an equation of the line with slope 1/2 passing through the point (7, 2).

y = 1/2 (x - 7) + 2

300

Write an equation of a horizontal line with y-intercept 2.

y = 2

400

Write an equation of a vertical line with x-intercept -6.

x = -6

500

A line passes through (-1,2) and (2,-4).

Write the equation of the line in point slope form, slope intercept form, and standard form.

y = -2(x - 2) - 4

y = -2x

2x + y = 0

Linear Functions

100

Identify the domain and range of the linear function
y = -2x + 4/3

all real numbers

200

Identify the slope and y intercept of the function
f(x) = -1/3 x + 6

m: -1/3; intercept: 6

300

Identify the x and y intercepts of the function
f(x) = -2x + 4

y-int: (0,4)
x-int: (2,0)

400

Identify the domain and the range of the linear function: y = 4

domain: all real numbers
range: 4

500

Explain why the linear equation below does not represent a function.
x = 6

All values in the range have a corresponding domain value of 6. 

Doesn't pass the vertical line test... because it is a vertical line.

Quadratic Equations

100

State the axis of symmetry

y=3x^2+6x+3

x = -1

200

Find the zeros

x^2-7x-18=0

x=9, -2

300

State the Axis of symmetry

4x^2+3x-10=0

x=-3/8

400

Solve the quadratic equation:

6 x^2 - 7 x - 5 = 0

x= 11/2, x= 5/3

500

What starts with T ends with T and has T in it?

A Teapot

Vertex

100

Find the vertex of 

f(x)=-x^2+8x-15

4,1

200

Describe the vertex

f(x)=x²-2x

vertex: (1,-1)

300

f(x)=5x²+2x-2

(-1/5,-11/5)

400

f(x)=-x^2-4x

-2,4

500

State the vertex and ALL intercepts of the quadratic function:

f(x)=(x-3)^2-4

vertex: (3,-4)
x-intercepts: (1,0), (5,0)
y-intercepts: (0,5)

Functions

100

If y varies directly with x, write an equation for the direct variation. The find each value. Remember y = kx. If y = -4 when x = 10, find y when x = 5

-2

200

If y varies directly with x, write an equation for the direct variation. The find each value. Remember y = kx. If y = 12 when x = -15, find y when x = 2

-1.6

300

If y varies directly with x, write an equation for the direct variation. The find each value. Remember y = kx. Find x when y = 18, if y = 9 when x = 8

16

400

If a car covers 240 miles in 4 hours time. How many miles will it travel in 6 hours?

360

500

Write an equation for this situation:

The amount of money (m) earned by the construction worker varies directly with the number of hours (h) that they work.

m = kh