Chapter 3 Assessment Linear Functions

Graphing Linear Equations

100

The standard form of a linear equation is....

Ax+By=C

200

A linear equations tells us that if I graphed the equation it would form a _____________

line

300

Determine whether the following equation is a linear equation:

4xy+3y=2

NOT linear

400

Rewrite the following linear equation so that it is written in standard form:

8y=9-2x

2x+8y=9

500

Find the x- and y-intercepts of the following linear function:

8y=3x+24

x-intercept: (-8,0) or -8

y-intercept: (0,3) or 3

Solving Linear Equations (by graphing)

100

The x-intercept crosses my graph somewhere along the....

x-axis

200

When we are solving for the y-intercept, we plug in "0" for what variable?

x

300

Find the related function for the following linear function:

4x+2=0

y=4x+2

400

Solve the following linear function algebraically:

4x+2=0

x= -1/2

500

The solution for a linear function is located at the....

x-intercept

Rate of Change and Slope

100

The slope of a line is the ratio of the rise to run, also written as....

y-y/x-x

200

If we see a horizontal line on a graph, this tells me that the slope of this linear equation is:

ZERO / 0

300

Find the slope of the line that passes through each pair of points:

(5,4) and (5,9)

undefined

400

Find the slope of the line that passes through each pair of points:

(5,8) and (-3,7)

1/8

500

Find the value of r so the line that passes through each pair of points has the given slope:

(r,2) and (6,3) with a slope=1/2

r= 4

Direct Variation

100

A direct variation is described by an equation of the form....

y=kx

200

In our equation for direct variation, the variable k represents what?

constant of variation

300

Every direct variation equation passes through what point on the graph?

the origin 

(0,0)

400

Suppose y varies directly with x. Write a direct variation equation that relates x and y if y=6 when x=9.

y=2/3x

500

If y= -5 when x= -2, what is y when x=14?

y=35

Arithmetic Sequences

100

What variable do we use to represent the common difference if we are looking at an arithmetic sequence?

d

200

Determine whether the sequence is an arithmetic sequence. If yes, state the common difference

-40, -32, -24, -16...

Yes. d=8

300

Find the next three terms of the arithmetic sequence

5, 8, 11, 14....

17, 20, 23

400

What is our general equation for finding the nth term of an arithmetic sequence?

a_n=a₁+(n-1)(d)

500

Write an equation for the nth term of the arithmetic sequence 1,3,5,7....

a_n=2n-1