Unit 0 Multi-Step Equations and Functions

Simplest Equations

100

Solve for x

x + 2 = 5

x = 3

200

Solve for z 

5 = 3z - 1

z = 2

300

Solve for t

t - 3 = 9 - 3t

t = 3

400

Solve for p

5p - 14 = 8p + 4

p = -6

500

Solve for w 

4w + 3 - 2w = - 15 - w - 3

w = - 7

Equations Involving the Distributive Property

100

Solve for k 

2 ( k + 2 ) = 6

k = 1

200

Solve for x

4(x - 3) = -4

x = 2

300

Solve for t

- (3 - t) + 8 = 1

t = - 4

400

Solve for n 

- 4(-3n - 8) = 10n + 20

n = -6

500

Solve for x 

4(2x + 3) - 5 = 3(3x - 1) + 1

 

x = 9

Equations Involving Fractions and Division

100

Solve for w 

w / 2 = 4

w = 8

200

Solve for x

(2/3) * x = 2

x = 3

300

Solve for t

t / 2 = (8 - t) / 2

t = 4

400

Solve for k

(6k + 4) / 2 = 2k - 11

k = - 13

500

Solve for x

(x / 4) + (2 / 3) = (5 / 12)

x = - 1

Evaluating Functions

100

Let f(x) = 2x

What is f(1)? 

f(1) = 2

200

Let g(x) = 4x+3

What is g(3)

g(3) = 15

300

Let h(x) =x² + 4

What is h(3)

h(3) = 13

400

Let f(x) = 3x² - 2x + 4

What is f(-2)? 

f(-2) = 20

500

Let h(x) = 2^x + 4x³ + 3x + 1

What is h(-1)? 

h(-1) = - 5.5 

Word Problems

100

Rewrite the equation 2y-1=5x-5 in slope-intercept form (y=mx+b), then identify the y-intercept.

The y - intercept is -2

200

Rewrite the equation 2y-1=5x-5 in slope-intercept form (y=mx+b) , then identify the slope.

The slope is 5/2

300

A phone company offers a data plan where the monthly cost is $40 plus $5 for every gigabyte of data used.  Let C(g) represent the total cost (in dollars) for using  g gigabytes of data in a month. Write the function C(g)

C(g) = 40 + 5g

400

A phone company offers a data plan where the monthly cost is $40 plus $5 for every gigabyte of data used. What is the total cost if you use 6 gigabytes of data?

$70

500

A phone company offers a data plan where the monthly cost is $40 plus $5 for every gigabyte of data used. If your total bill is $65, how many gigabytes of data did you use?

5 gigabytes of data