Linear Functions

Sequences

100

True or False. (If false, write the statement true.)

The difference between consecutive terms of an arithemtic sequence is the constant ratio.

False: The difference between consecutive terms is the common difference.

200

Determine if the sequence is arithmetic: -3, 1, 5, 9, ...

What is yes, this is arithmetic.

300

Write an equation for the nth term of the arithmetic sequence: -2, 3, 8, 13

a_n=-2+5(n-1)

400

What would the 15th term of the following arithmetic sequence be? 28, 25, 22, 19, ...

-14

a_n=28-3(n-1)

a₁₅=28-3(15-1)=-14

500

The fourth term of an arithmetic sequence is 8 and the 13th term is 26. What is the first term?

2

Using Intercepts

100

What is the point where the graph intersects the x axis called?

the x intercept

200

Find the x intercept: 2x- 4y=8

x=4

300

Find the x and y intercepts of 3x+4y=24

(8,0) and (0,6)

400

Find the x and y intercepts of 3x- 2y=12

(4,0) and (0,-6)

500

Find the x and y intercepts of

1/3x+4/5y=8

x=24 and y=10

Word Problems

100

Write the equation.

A taxi trip costs an entrance fee of $5 plus $2 per mile traveled. 

y=2x+5

200

Hollister has a sale going on. Jeans cost $25 and sweaters cost $30. If you have $100 to spend on jeans and sweaters, what would the equation be?

25x+30y=100

300

Write the equation.

The amusement park charges an admission fee of $10 and each ride costs $3.

y=3x+10

400

Write an equation.

A new shoe shop sold 90 pairs of shoes by the third day, and every day after that it sold 20 more shoes.

y-90=20(x-3)

500

You sell bracelets for $3.50 each and your materials cost $84. Write an equation that can be used to determine how many bracelets you have to sell to "break even" (the cost of your materials equals your profit)? 

y=3.5x-84

Slope intercept form

100

What is slope intercept form?

y=mx+b

200

Graph the equation: y= -2x+3

See Graph

300

Write the equation in slope intercept form: slope=0, y intercept =-5

y=-5

400

Write the equation in slope intercept form and graph: 3x+2y=8 

y=-3/2X+4 See graph

500

Write the equation in slope intercept form: slope=4 and (2,5) is on the line 

y=4x-3

Point Slope form &Slopes of lines

100

Write the linear equation in point slope form: Slope=-7 ; (-4,2)

y-2 = -7(x + 4)

200

What is the slope of a horizontal line?

Zero

300

Find the slope of the equation: 6x + 5y=30

m=

-6/5

400

Write this equation in point slope form & in slope intercept form: slope=-4, (-1,-2)

Point slope form: y+2= -4(x+1) Slope intercept: y=-4x -6

500

Write the equation in point slope form and in slope intercept form: (1,-4) and (3,2)

Point slope: y-2=3 (x-3) slope intercept: y=3x -7