Unit 1 Test Review

Absolute value

100

|x-1|=4

x=-3,5

200

|x-2|+5=9

x= -2, 6

300

4|2x + 7| =16

x= -5.5, -1.5

400

1/2|x+8|=|4x-1|

x= -2/3, 10/7

500

|5x-2|=|5x+4|

x= -1/5

Literal Equations

100

Solve for t:

I=prt

I/pr =t

200

Solve for h:

V =∏r²h

V/∏ r²= h

300

Solve for a:

w = 7a + 4b

a= w-4b/ 7

400

Solve for x:

3+5x-kx=y

x= y-3/5-k

500

You deposit $2,000 in an account that earns simple interest at an annual rate of 4%. How long must you leave the money in the account to earn $500 in interest?

• I = interest earned

• P = principal (initial deposit)

• r = annual interest rate (decimal form)

• t = time in years

I=Prt

6.25 years

Proportions

100

12/d=9/3

d=4

200

6/ y-5 = 18/ y+1

y = 8

300

5/ y-7 =3/ y-5

y = 2

400

6/2n-5 = 2/n-7

n=16

500

You are 6 feet tall and cast a shadow 4 feet long. At the same time, a nearby building casts a shadow 15 feet and 4 inches long. Find the height of the building.

23 feet

Conversions

100

Convert 11 meters to millimeters (1 m=1000 mm)

11,000 millimeters

200

Convert 3150 feet to miles. (1 mi = 5280ft)

0.6 miles

300

What's Ms. Houk's favorite color?

Pink

400

A student averaged 45 miles per hour on a trip. What was the student’s speed in feet per second?

(1 mi = 5280 ft)

66 ft per sec

500

Motorcycle A can reach a top speed of 140 miles her hour. Motorcycle B can reach a top speed of 200 feet per second. Which motorcycle has a greater top speed?

Motorcycle A

Equations

100

-12x + 8 + 5x = 36

x = -4

200

3(n+4)=0.5(6n+4)

no solution

300

-2y + 4 = 8y - 6

y = 1

400

13w-2(4w+1) = w-58

w =-14

500

3h-2(4h-5) = 10 - 5h

     ∞