Quarter 1 Review

Unit 1

Numerical Expressions and Factors

Review Notes

Topics Covered: 1.1 Powers and Exponents

Multiple Choice

56¹ = ?

• 56
• 0
• 1
• 65

Multiple Choice

7⁰ = ?

• 1
• 7
• 0
• -7

Multiple Choice

Which is equivalent to 3^{4 ?}

• 27
• 9
• 81
• 12

Topics Covered:1.2 Order of Operations

Example:

Follow the order of operations (PEMDAS). Show your work
for each step and rewrite the expression as you go.
Multiply and Divide from left to right.
Add and subtract from left to right.

Multiple Choice

18 + (6 – 2) × 2 =

• 26
• 29
• 44
• 40

Multiple Choice

(7 + 41) ÷ 2 – 15 =

• 19
• 9
• 25
• 3

Topics Covered: 1.3 Prime Factorization

Use the tree method or the ladder method to

find the prime
factors.

Show repeated factors

using exponents.

Topics Covered: 1.4 Greatest Common Factor

Use the Ladder Method
to divide out common
factors. Multiply the
common factors
together to find the
greatest.

Topics Covered: 1.5 Least Common Multiple

Find the Least Common Multiple

of 12 and 18 using the Ladder
Method.

Remember: If you
have 3 terms you can
look for a common
factor of 2 out of
those 3 to factor the
terms completely.

How to determine if the word problem is asking for
GCF or LCM:

Visualize what is happening:

● If the problem has you separating or breaking

apart items then it is a GCF problem.

● If the problem has you building items up until they

are equal then it is a LCM problem.

7

Topics Covered: 1.6 GCF and LCM Word Problems

How to determine if the word problem is asking for
GCF or LCM:

Look for the following words in each problem
to help you decide:

8

Multiple Choice

Find the GCF of:

• 1

• 15

• 115

• 345

Multiple Choice

What would be the EXPANDED prime factorization of the number 18?

• 2 x 3 x 3

• 3 x 6

• 2 x 9

• 2 x 3

Multiple Choice

Find the GCF:

• 1

• 2

• 8

• 12

Multiple Choice

Answer the following question by finding the GCF.

• 18

• 9

• 12

• 1

Fill in the Blanks

Multiple Choice

What is the LCM of 6 and 16

• 2

• 48

• 24

• 8

Multiple Choice

A farmer needs to plant crops in a field every 18 days and another type of crop every 24 days. What is the least number of days after which he will need to plant both types of crops on the same day?

• 48

• 60

• 72

• 36

Multiple Choice

A gardener needs to water plants every 9 days and another type of plant every 12 days. What is the least number of days after which he will need to water both types of plants on the same day?

• 30

• 25

• 20

• 36

Multiple Choice

Peter has 18 oranges and 27 pears.  He wants to make fruit baskets with the same number of each fruit in each basket.  What is the greatest number of baskets he can make? 

• 3
• 18
• 9
• 27

Unit 2
Decimal & Fraction

Review Notes

Topics Covered: 2.0 Fraction Basics

Click this link to review how to:

-Create equivalent fractions

-Reduce/simplify fractions

-Change Improper Fractions to Mixed Numbers

-Change Mixed Numbers to Improper Fractions

Topics Covered: 2.01 Add and Subtract Fractions (like
denominators)

Do not make improper fractions!

Topics Covered: 2.01 Add and Subtract Fractions (unlike
denominators)

Do not make improper fractions!

Multiple Choice

$$5\ \frac{4}{5}\ -\ 2\ \frac{1}{10}\ =$$  

• $$3\ \frac{7}{10}$$  

• $$7\ \frac{9}{10}$$  

• $$3\ \frac{3}{10}$$  

Multiple Choice

$$1\ \frac{1}{2}\ +\ 3\ \frac{3}{4}\ =$$  

• $$4\ \frac{4}{6}$$  

• $$5\ \frac{1}{4}$$  

• $$4\ \frac{1}{4}$$  

Topics Covered: 2.1 Multiplying Fractions

●Cross cancel with a common
factor if possible. Multiply
numerators together. Multiply
denominators together.

●A whole number can be written
over 1 first.

●Change mixed numbers into
improper fractions when
multiplying.

Example 1:

Example 2:

Example 3:

Multiple Choice

Find the product.

• 3/50

• 3/5

• 6

• 1 1/5

Multiple Choice

Multiply these fractions

• 13 / 18
• 13 / 72
• 5/9
• 64 / 45

Multiple Choice

Simplify if necessary

$$1\frac{1}{3}\ \times2\ \frac{1}{5}$$  

• 6

• $$2\frac{4}{45}$$  

• $$2\frac{13}{15}$$  

• $$2\frac{14}{15}$$  

Multiple Choice

Simplify if necessary

$$3\frac{1}{4}\ \times1\ \frac{1}{8}$$  

• $$3\ \frac{21}{32}$$  

• $$4\frac{22}{32}$$  

• $$3\frac{11}{16}$$  

• $$3\ \frac{23}{32}$$  

Topics Covered: 2.2/2.3 Dividing Fractions

Change any mixed numbers to improper fractions. Then Keep, Change, Flip
(multiply by the reciprocal). Follow steps for multiplying fractions.

Example 1:

Example 2:

Explanation Slide...

1. Keep the first fraction the same.2. Change division to multiplication.3. Flip the second fraction to show the reciprocal.4. Multiply across.5. Simplify as needed.

Multiple Choice

$$\frac{5}{6}\div\frac{1}{2}=$$  

•   $$\frac{12}{5}$$    

• $$\frac{5}{12}$$   

• $$1\frac{2}{3}$$  

• $$\frac{5}{3}$$  

Explanation Slide...

1. Keep the first fraction the same.2. Change division to multiplication.3. Flip the second fraction to show the reciprocal.4. Multiply across.5. Simplify as needed.

Multiple Choice

  $$\frac{8}{9}\div\frac{2}{3}=$$  

• $$1\frac{1}{3}$$   

•    $$\frac{16}{27}$$  

•   $$\frac{27}{16}$$  

• $$\frac{16}{3}$$  

Explanation Slide...

1. Keep the first fraction the same.2. Change division to multiplication.3. Flip the second fraction to show the reciprocal.4. Multiply across.5. Simplify as needed.

Multiple Choice

  $$9\frac{1}{3}\div2\frac{1}{3}=$$  

• $$4$$   

•    $$\frac{1}{4}$$  

•   $$18\frac{1}{9}$$  

• $$4\frac{1}{3}$$  

Explanation Slide...

1. Keep the first fraction the same.2. Change division to multiplication.3. Flip the second fraction to show the reciprocal.4. Multiply across.5. Simplify as needed.

Multiple Choice

  $$19\div6\frac{1}{4}=$$  

• $$3\frac{1}{25}$$   

•    $$\frac{25}{76}$$  

•   $$3\frac{1}{4}$$  

• $$\frac{475}{4}$$  

Explanation Slide...

1. Keep the first fraction the same.2. Change division to multiplication.3. Flip the second fraction to show the reciprocal.4. Multiply across.5. Simplify as needed.

Multiple Choice

  $$12\frac{1}{2}\div2\frac{1}{3}=$$  

• $$5\frac{5}{14}$$   

•    $$\frac{14}{75}$$  

•   $$6\frac{1}{6}$$  

• $$24\frac{1}{6}$$  

Topics Covered: 2.4 Adding and Subtracting Decimals

Be sure to line up decimal points.

Example 1:

Example 2:

Explanation Slide...

IN ALL --> Adding

Multiple Choice

Tyra went to the movies and bought a coke for $1.25, popcorn for $4.25 and peanut butter M&Ms for $3. How much did Tyra spend in all?

• $5.53

• $8.50

• $7.53

• $10.50

Explanation Slide...

How much CHANGE means subtracting.

Multiple Choice

Ben bought a sandwich for $8.82. He paid with a ten-dollar bill. How much change did Ben receive?

• $18.18

• $12

• $1.18

• $8.82

Explanation Slide...

CHANGE means subtracting.

Multiple Choice

Ms. Fletcher got $16.72 worth of gas. If Ms. Fletcher paid with a twenty-dollar bill, how much change will she receive?

• $36.72

• $3.28

• $26.19

• $4.72

Explanation Slide...

LEFT means subtracting.

Multiple Choice

Amelia bought a bag with 5.8 pounds of flour in it. She used 0.97 pounds of flour. How much flour does Amelia have left?

• 4.83 pounds

• 5.90 pounds

• 6 pounds

• 6.77 pounds

Explanation Slide...

ALTOGETHER --> Adding

Multiple Choice

Frank drove 487.3 miles on Monday, 155.38 miles on Tuesday, and 610 miles on Wednesday. How far did Frank drive altogether?

• 125.43 miles

• 1023 miles

• 1252.68 miles

• 1892 miles

Topics Covered: 2.5 Multiplying Decimals

The number with the most digits goes on top. Decimals do not have to line up.
Multiply like normal. Count the number of decimal places in the first number.
Count the number of decimal places in the 2nd number . This is how many places
you move the decimal in your product.

Example 1:

Multiple Choice

 Jackie rode her bike around Capaha Park last week. The trail is 8.54 miles long. If she rode around the park 4 times last week, how many miles did she travel in all?

• 3.41 miles
• 8.54 miles
• 34.16 miles
• 341.6 miles

Multiple Choice

Hannah bought 3.4 pounds of apples. She paid $.89 per pound. How much did Hannah pay for the apples?

• $3.00

• $3.02

• $3.01

• $3.03

Multiple Choice

George had a lump of silly putty that was 4.69 centimeters long. If he stretched it out to 3.79 times its current length how long would it be?

• 17.7751 CENTIMETERS

• 177.751 CENTIMETERS

• 1.77751 CENTIMETERS

• 1,777.51 CENTIMETERS

Multiple Choice

What is the correct location of the decimal point in the product?

3 x 2.58 = 774

• 744

• 7.74

• 77.4

• 0.744

Topics Covered:2.6/2.7 Dividing Whole Numbers & Decimals

The divisor can not have a decimal. Move the divisor decimal so it is a whole
number. Move the same amount of places in the dividend. Place a decimal straight
up into the quotient. Divide like normal.

Multiple Choice

Mary biked 95.25 kilometers in 15 days. Which shows the average distance Mary biked each day?

• 6.35 kilometers

• 0.63 kilometers

• 65 kilometers

• Not Here

Multiple Choice

Evaluate

$$42.72\div1.2=$$  

• 3.56

• 356

• 0.356

• 35.6

Multiple Choice

$$12.24\div1.2=$$  

• 102

• 10.2

• .099

Multiple Choice

28.24 ÷ 4 =

• .76
• 7.06
• 7.6
• 7.76

Multiple Choice

Mrs. Rice bought 27 books for the class.  What was the cost for one book if she spent a total of $67.50?

• $2.13
• $0.21
• $0.25
• $2.50