Pre-Algebra Review 1

Solving Equations

100

Solve 

2x=4

x=2

200

Solve

10x-18=32

x=5

300

Solve

6x-3=-4x+17

x=2

400

Solve

4=-2(x+3)

x= -5

500

Solve

2x+6=3x+9-3

x=0

Scientific Notation

100

Convert to Scientific Notation

0.00651

6.51x10^-3

200

Convert to Scientific Notation

12,000,000

1.2x10⁷

300

Convert to Scientific Notation

0.00000999

9.99x10^-6

400

Convert to Standard Notation

1.28x10⁹

1,280,000,000

500

Convert to Standard Notation

3.14x10^-5

0.0000314

Mean/Median/Mode/Range

100

Find the MODE of the data set

5, 28, 16, 32, 5, 16, 48, 29, 5, 35

Mode: 5

200

Find the RANGE of the data set

36, 17, 22, 43, 11, 56, 17, 71

Range: 71-11=60

300

Find the RANGE of the data set

17, 66, 14, 79, 47, 95, 32, 21, 10, 58

Range: 95-10=85

400

Find the MEDIAN of the data set:

24, 31, 12, 38, 12, 15

Median: 19.5

12,12,15,24,31,38

15+24=39

39/2=19.5

500

Find the MEAN of the data set

53, 13, 34, 41, 26, 61, 34, 13, 69

Mean: 38.2

53+13+34+41+26+61+34+13+69=344

344/9=38.2

Simple and Compound Interest

100

You are starting your own small business in Albuquerque. You borrow $10,000 from the bank at a 9% simple interest rate for 5 years. Find the interest you will pay on this loan.

Interest: $4500

200

Find the interest on a loan of $2500 that is borrowed at 9% simple interest for 7 months. Round to the tenth decimal place. 

Interest: $131.25

300

You decide to borrow $500 to go on a trip to Disney Land. You go to the bank and borrow the money at 11% simple interest, how much money will you owe the bank if you take the loan for 2 years?

Total owed: $610

400

Larry invested $27,000 in a savings account that pays an annual interest rate of 1.8%. The savings account is set to compound annually. How much is in Larry’s account after 5 years? Round to the tenth decimal place.

Total: $29,519.07

500

Becky invested 19,800 in a CD that pays an annual interest rate of 5.3% compounded annually. How much interest will Becky have earned after 18 months? Round to the tenth decimal place. 

Interest: $1,594.78

Facts

100

How can we tell if a graph is proportional?

It goes through the origin and is a straight line

200

What do we call the letters in equations?

Variables

300

Two ways to find the slope of a line

various answers

400

What is the only type of triangle that you can use the Pythagorean Theorem on?

Right Triangle

500

What is the key difference between simple and compound interest?

Simple gives interest only

Compound gives the total