Alg 1 Chapter 1

One Step Equations

100

b-16=20

b=36

200

z-1/4=7/8

z=9/8

300

-4.6x=9.2

x=-2

400

x/-5=-2.6

x=13

500

Robin needs 108 signatures for her petition. So far, she has 27. Write and solve an equation to determine how many more signatures she needs.

27 + s = 108; 81 signatures

Multi-Step Equations

100

4t-13=57

t=17.5

200

k/5-6=2

k=40

300

5/6f-3/4f+3/4=1/2

f=-3

400

If 8n + 22 = 70, find the value of -15n

n=-90

500

The sum of the measures of two angles is 180^o. One angle measures 3a and the other angle measures 2a - 25. Fina a. Then find the measure of each angle.

a = 41; 123^o; 57^o

Variables on Both Sides

100

-3r-8=-5r-12

r=-2

200

-(x-4)=2x+6

x=-2/3

300

2/3n=4n-10/3n-1/2

no solution

400

0.2(7+2t)=0.4t+1.4

all real numbers

500

One photo shop charges $0.36 per print. Another photo shop charges $2.52 plus $0.08 per print. Joe finds that the cost of printing his photos is the same at either shop. How many photos does Joe have to print?

9 photos

Solving for a Variable

100

 A=P+Prt solve for r

r=(A-P)/(Pt)

200

 C=360/n solve for n

n=360/C

300

 (f+4)/g=6 solve for f

f=6g-4

400

 S=n/2(a+l) solve for a

a=(2s)/n-l

500

 The formula  a=d/g give the average gas mileage a of a vehicle that uses g gallons of gas to travel d miles. Use the formula to find how many gallons of gas a vehicle with an average gas mileage of 20.2 miles per gallon will use to travel 75 miles. Round your answer to the nearest tenth. 

3.7 gallons

Absolute Value Equations

100

|x+6|=21

x=15,-27

200

3|y|+4=31

y=9,-9

300

-7|y-5|=14

No solution

400

12=|x-5.4|

x=17.4,-6.6

500

Jason is driving his car at 55 mph. He needs to keep his car within 5 mph of his current speed. Write and solve an absolute value equation to find Jason's maximum and minimum speeds. 

|x - 55| = 5; min speed: 50 mph, max speed 60 mph

Proportions

100

n/8=2/10

n=1.6

200

3/k=9/15

k=5

300

1/3=x/(x-6)

x=-3

400

A recipe for a casserole calls for 2 cups of rice. The recipe makes 6 servings of casserole. How many cups of rice will you need to make 10 servings of casserole?

3 1/3

500

A tree casts a shadow that is 14 ft long at the same time that a nearby 2 foot tall pole casts a shadow that is 1.75 ft long. How tall is the tree?

16 ft

Random Trivia

100

In what city is Ebenezer Baptist Church, where Martin Luther King Jr. and his father were pastors?

Atlanta

200

Who renamed the U.S. presidential yacht "Honey Fritz," in honor of his grandfather, a former Boston mayor?

President John F. Kennedy

300

Who was the first female inductee into the Rock and Roll Hall of Fame?

Aretha Franklin

400

What South American cities inhabitants are called "portenos"?

Buenos Aires

500

A kindle is a group of what animals?

Kittens