U1 Review

Unit Analysis

100

How many centimeters is in one mile?

160,934.4 sec

200

How many minutes are in 180 days?

259,200 min

300

A cheetah ran 300 feet in 2.92 seconds. What was the cheetah's average speed in miles per hour?

70.05 mph

400

Convert 721 lbs per week into kg per second. (2.2 lbs in 1 kg)

0.00054 kg/sec

500

In 2 & 1/9 hours a speed boat travels 125 miles . How fast is the speed boat traveling in feet per minute?

5210.53 ft/min

Word Problems

100

One number is five times another. The sum of the numbers is 108. What are the two numbers?

18, 90

200

Find 3 consecutive even integers whose sum is 258.

84, 86, 88

300

Find two consecutive even integers such that the sum of the larger and twice the smaller is 62.

20, 22

400

The larger of two numbers is 10 more than the smaller number. Five times the larger number is 40 more than 6 times the smaller. Find the numbers.

10, 20

500

Find 4 consecutive odd integers such that three times the third subtracted by twice the second is two less than three times the first.

5, 7, 9, 11

Absolute Value Equations

100

|a-2|=1

a=3

a=1

200

|k+7|=-3

No Solution

300

|k+9|-5=6

k=2

k=-20

400

3|-5p|+10=25

p=-1

p=1

500

8|5x+8|+8=32

x=-1

x=-11/5

Literal Equations

100

xm=np, for x

x=mp/n

200

u=k/ab, for a

a=k/ub

300

gcx=x+y, for x

x=y/(gc-1)

400

z=(am+p)/an, for a

a=p/(nz-m)

500

z=(x+y)/(m+x), for x

x=(y-zm)/(z-1)

Solving Equations

100

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

No Solution

200

10(x-1/2)=3x-5-7x

x=0

300

2v+2=-(1-5v)-3(v-1)

2=2

Infinite Solutions

All real #s

400

5/(r-9)=8/(r+5)

r=32 1/3

500

((x+2)/8)-((x-5)/4)=12

x=-84