Algebra 1 Unit 1 Review

Number Set Classification

100

Name the 6 sets of numbers and their symbols.

Natural (N), Whole (W), Integer (Z), Rational (Q), Irrational (Q'), Real (R)

200

Name all the number sets that -15 belongs to.

Integers (Z), Rationals (Q), Real (R)

300

Name all the number sets that π belongs to.

Irrationals (Q')

400

Name all the number sets that 0/5 belongs to.

0/5 is "0 divided by 5"

Whole (W), Integers (Z), Rationals (Q), Real (R)

500

Name all number sets that -4.25 belongs to. 

Rational (Q), Real (R)

Fraction Operations

100

A) For adding and subtracting fractions, what do we find so that our denominators are the same?

B) What is one of the two strategies we can utilize to simplify fractions efficiently?

A) The Least Common Multiple (LCM)

B) Finding the GCF or Prime Factorization 

200

3/8 + 5/12

19/24

300

11/9 - 2/4

13/18

400

3/7 ÷ 6/11

11/14

500

1/2 + 2/3 - 1/4

11/12

Order of Operations

100

Name the acronym we use to follow the order of operations of an expression/equation. And what does each letter stand for?

GEMDAS or PEMDAS

Grouping or Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

200

(5² - sqrt(225)) / 2

sqrt = square root 

5

300

sqrt(121) + 4 x (7-2²)

sqrt = square root 

23

400

5 x [sqrt(36) + (12 - 2³)]

sqrt =  square root 

50

500

[3 x (sqrt(169) - 3²)]² / sqrt(16)

sqrt = square root

36

Proportions

100

For proportions that are not easily simplifiable, what is the method that we use to solve for the missing value?

The butterfly method, or cross multiplication

200

A recipe requires 2 cups of flour to make 24 cookies. How many cups of flour are needed to make 60 cookies?

5 cups of flower

300

A car travels 180 miles on 6 gallons of gas. How many gallons of gas are needed to travel 420 miles at the same rate?

14 gallons of gas

400

An employee earns $135 for working 9 hours. How much will they earn for working 25 hours at the same hourly rate?

$375

500

On a map, 2 cm represents 50 miles. How many miles are represented by 7 cm?

175 miles

Percents

100

a) What does percent mean?

b) What are the three things a question could ask for when talking about percents?

a) per 100

b) A question could ask for the percent, the part, or the whole 

200

What is 15% of 80?

12

300

A restaurant bill comes to $65. If you leave an 18% tip, what is the total amount paid?

$76.70

400

24% is what percent of 85?

20.4%

500

A population increases from 1,200 to 1,500. What is the percent increase?

20%