Math 1 Unit 1-3 Review

Random Unit 1

100

Simplify: 

(16x+12)/2

8x + 6

200

Combine like terms: 

6x²y - 9xy + 4x²y + 5xy² - 3xy

10x²y +5xy² - 12xy

300

Solve:

-5(n + 1) = -25

n = 4

400

Solve: 

5/6x - 4 = 1/3

x=26/5

500

In order to join a dance studio, there is a $30 startup fee and a $4 monthly fee. Find the total cost after being a member 7 months.

$58

Proportions

100

m/6=32/48

m=4

200

3/n=2/3

n=9/2

300

1/4=x/10

5/2

400

10/4=(z-8)/16

z=48

500

A loading crew estimates that it can load 8 boxes in 20 minutes.  At this rate, how many boxes could it load in 2 hours?

48 boxes

Literal Equations

100

Solve for y:

2x + y = 41  

y = -2x + 41

200

Solve for y:

6x + 2y = 12

y = -3x + 6

300

Solve for y:

5x + 2y = 9

y=(-5x)/2 +9/2

400

Solve for y:

x - 3y = 17  

y=x/3-17/3

500

Solve for y:

F=1/5xy

(5F)/x=y

Conversions

100

2000centimetersrarrmeters

20meters

200

256ouncesrarrpounds

16pounds

300

6.2gallonsrarrquarts

24.8quarts

400

4"miles"rarrmeters

6437.4meters

500

(600"feet")/("second")rarr("miles")/("minute")

(6.8"miles")/"minute"

Unit Rates

100

Is this a unit rate?

48 dollars per 4 hours

no

200

Find the Unit Rate: 16 oranges for $24

$1.50 per orange

300

Lauren took 12 hours to read a 360 page book.  How many pages does she read per hour?  

30 pages per hour

400

Find the Unit Rate: 625 miles in 25 minutes

25 miles per minute

500

What is the better buy?

Option A: 13 t-shirts for $124.28

Option B: 21 t-shirts for $188.79

Option B