Module 4 Review: Algebra

Linear Functions

100

Name the y intercept:

y= 4x + 5

5

200

Name the x intercept:

9x + 3y = 27

3

300

Name the y when x is -4:

y= -4 + 3/4x

-7

400

What does this graph look like:

y=6

The graph is a straight line left to right through positive 6 on the y axis.  Every y is positive 6:

(1,6) (2,6) (3,6)

500

Name the x and y intercepts

4x + 6y =36

x intercept:(0,6)

y intercept: (9,0)

Rate of change

100

What is the formula for rate of change

y_{2 -} y_{1 divided by} x_{2 -} x₁

200

If the rate of change is constant then....

the function is linear

300

What is the rate of change?

(11, -5) (8, -3) (5, -1) (2, 1)

-2/3

400

Find the rate of change:

(2,12) (4,24) (6,36)

6/1  or 6

500

In 2015, Sarah spent $800 buying lunches. In 2017, she spent $550 buying lunches. What was the rate of change from 2015 to 2017?

-125 per year

slope

100

What is the formula for slope?

y_{2 -} y_{1 divided by} x_{2 -} x₁

200

A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3 represents the cost y of bowling x games.

 Interpret the parameters of the function.

x = 2.5 and is the cost of each game

y = 3 and is the cost of the shoes

300

What is the slope of the line that passes through       (–3, 2) and (10, –2)?

-4/13

400

The slope of the line that passes through points (3,−2)and (3,10) is

undefined because there is a 0 in the denominator

500

Write 10x – 5y= –30 in slope-intercept form.

y = 2x + 6

Translations

100

How is the graph of g(x)= x – 5  translated?

5 units down

200

How does the graph g(x) = (x+3) translate?

3 spaces up

300

What does the k mean when translating an absolute value function?

tells you if the function is translating up or down

400

How does this function translate? 

g(x)= |x+7|-3

to the left 7 and down 3

500

How does this function translate?

g(x)= –|x+2|+4

This is a reflection over the x-axis.  The function then translates left by 2 and up by 4

Arithmetic Sequence

100

What is the equation to solve an arithmetic sequence?

a_n = a₁ + (n-1)d

200

Write an equation for the nth term of the arithmetic sequence 4, 7, 10, 13, …

3n + 1

300

Is this an arithmetic sequence?

3,6,9,12

Why or why not

Yes because d=3 and is constant

400

Name the 25th term is this sequence:

4,8,12,16

100

500

Name the 100th term is this sequence:

-12, -6, 0, 6

582