Semester 1 Review 2025 Part 2

​Semester 1 Review 2025
Part 2

By Ashley Kellams

​Types of Fractions

Multiple Choice

What type of fraction is this? $$\ \frac{19}{5}$$  

• proper

• improper

• mixed numeral

Multiple Choice

What type of fraction is this?  $$2\ \frac{3}{8}$$  

• proper

• improper

• mixed number

Multiple Choice

What type of fraction is this?  $$\frac{8}{12}$$  

• proper

• improper

• mixed numeral

REMEMBER

​You can convert a whole number into a fraction.

​Whole number is ALWAYS OVER 1

Multiple Choice

1. Which fraction is equal to 2?

• A. 2/4

• B. 2/2

• C. 2/1

• d. 2/0

Multiple Choice

Which fraction represents the whole number 1?

• $$\frac{1}{2}$$

• $$\frac{4}{5}$$

• $$\frac{3}{3}$$

• $$\frac{6}{1}$$

Multiple Choice

If the denominator is 1, the fraction is equivalent to the whole number represented by the _____________

• numerator

• exterminator

• terminator

• tornado

​ALWAYS ALWAYS ALWAYS

​S I M P L I F Y when you can

A fraction is simplified if the numerator and denominator have no common factors. If a fraction is not simplified you need to divide.

Drag and Drop

A fraction is ​

Placeholder

if the numerator and ​

Placeholder

have no common factors. If a fraction is not simplified you need to ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

simplified

denominator

divide

Match

Match the following

• $$\frac{3}{4}$$  

• $$\frac{1}{4}$$  

• $$\frac{1}{5}$$  

• $$\frac{1}{10}$$  

• $$\frac{1}{2}$$  

9/12

2/8

3/15

3/30

5/10

• 9/12

• 2/8

• 3/15

• 3/30

• 5/10

Multiple Choice

$$\frac{6}{27}$$  

Simplify!

• $$\frac{2}{9}$$  

• $$\frac{1}{3}$$  

• $$\frac{3}{9}$$  

• Already in simplest form. 

• $$\frac{1}{7}$$  

​Adding fractions with like denominators

​If you are adding fractions with like denominators, all you need to do is add the numerators and keep the denominator the same.

​Subtracting fractions with like denominators

​If you are subtracting fractions with like denominators, all you need to do is subtract the numerators and keep the denominator the same.

Multiple Choice

• 5/14
• 3/7
• 5/7
• 5/14

Common Denominators

Multiple Select

What is the least common denominator for the following fractions?

• 21

• 14

• 28

• 30

Multiple Select

Part 2: Change the fractions to have the same denominator.

$$\frac{2}{4}+\frac{3}{8}$$  

• $$\frac{5}{8}+\frac{3}{8}$$  

• $$\frac{6}{12}+\frac{4}{12}$$  

• $$\frac{2}{8}+\frac{3}{8}$$  

• $$\frac{4}{8}+\frac{3}{8}$$  

Multiple Choice

What MUST you have to add and subtract fractions?

• Numerators & Denominators

• The same Numerators

• Denominators that are Different

• Common Denominators

  ( THE SAME)

Multiple Choice

Which fraction has the same value?

• 2/5

• 5/6

• 4/6

• 1/5

​Multiply Fractions

​Multiply the numerators together then, multiply the denominators together.

​Simplifying Fractions

&

Reducing Fractions

Means to scale down the both terms using a common factor.

Multiple Choice

When multiplying and dividing fractions the denominators have to be the same.

• True

• False

Multiple Choice

$$\frac{1}{4}\times\frac{5}{2}$$  

• $$\frac{6}{7}$$  

• $$\frac{5}{8}$$  

• $$\frac{9}{8}$$  

• $$\frac{5}{4}$$  

Multiple Choice

$$\frac{7}{4}\times\frac{11}{6}$$  

• $$\frac{84}{65}$$  

• $$\frac{77}{24}$$  

• $$\frac{59}{47}$$  

• $$\frac{65}{47}$$  

Multiple Choice

Nik has ⅕ of a chocolate bar, and Emme has ⅔ of a chocolate bar. What fraction of a chocolate bar do they have all together? 

• 3/8
• 14/15
• 3/15 = ⅕
• 13/15

One Simplifying Strategy...

Cross Cancel

Divide the diagonal factors by a common factor. Then, multiply across.

In this example, 9 and 3 have a common factor of 3. Both values are divided by 3 to reduce the terms, making it easier to calculate mentally.

Multiple Choice

$$\frac{4}{5}\times\frac{1}{4}=$$  

Make sure to cross cancel!!

• $$\frac{1}{3}$$  

• $$\frac{1}{5}$$  

• $$\frac{4}{20}$$  

Multiple Choice

$$\frac{8}{9}\times\frac{2}{8}=$$  

Make sure to cross cancel!!

• $$\frac{1}{3}$$  

• $$\frac{2}{9}$$  

• $$\frac{2}{8}$$  

Multiple Choice

$$\frac{2}{8}\times\frac{1}{2}=$$  

Make sure to cross cancel!!

• $$\frac{1}{8}$$  

• $$\frac{2}{16}$$  

• $$\frac{1}{16}$$  

Multiple Choice

Try using canceling as you work this problem out on your scratch paper. Make sure your answer is in simplest form.

$$\frac{7}{8}$$  x $$\frac{2}{14}$$  =

• $$\frac{14}{112}$$  

• $$\frac{1}{8}$$  

• $$\frac{7}{42}$$  

​And the correct answer is:

Multiple Choice

One more for you to try. Make sure your answer is in simplest form.

$$\frac{3}{5}$$  x $$\frac{10}{13}$$  

• $$\frac{5}{13}$$  

• $$\frac{30}{65}$$  

• $$\frac{6}{13}$$  

​And the correct answer is:

​If!! If you have a mixed number, you must make it a fraction first before you multiply. Example:

Multiple Choice

Your turn! Work it out on your scratch paper:

3 $$\frac{1}{3}$$  x $$\frac{9}{11}$$  

• $$\frac{30}{11}$$  

• 2 $$\frac{8}{11}$$  

• 1 $$\frac{9}{11}$$  

​And the correct answer is:

Multiple Choice

$$\frac{4}{5}\times\frac{5}{6}$$   Remember to simplify.

• $$\frac{9}{11}$$  

• $$\frac{2}{3}$$  

• $$\frac{20}{30}$$  

• $$\frac{4}{6}$$  

Multiple Choice

What is the recriprocal of 4/5

• 4/5
• 5/4
• 5/1
• 1/5

Multiple Choice

Find the reciprocal of 11

• $$\frac{11}{1}$$

• $$\frac{11}{11}$$

• 1 $$\frac{1}{11}$$

• $$\frac{1}{11}$$

Multiple Choice

$$\frac{2}{5}\div\frac{3}{4}$$  =  $$\frac{2}{5}\times\frac{4}{3}=$$  ?

• $$\frac{6}{8}$$  

• $$\frac{8}{15}$$  

• $$\frac{5}{2}\times\frac{3}{4}$$  

• $$1$$  

Fill in the Blanks

Divide:

$\frac{9}{10}\ \div\ \frac{1}{3}\ =$

Fill in the Blanks

Divide the fractions and simplify if possible:

$\frac{2}{3}\ \div\ \frac{1}{3}\ =$

Multiple Choice

$$\frac{1}{6}$$ ÷ $$\frac{8}{11}$$

• $$\frac{8}{66}$$

• $$\frac{3}{72}$$

• $$\frac{1}{2}$$

• $$\frac{ }{ }$$ $$\frac{11}{48}$$

Multiple Choice

What is the first step when adding and subtracting decimals?

• Line up the numbers

• Line up the decimals

• Add or subtract like normal

• Add in placeholders

Fill in the Blanks

The sum of 4.2 and 3.65 is

Multiple Choice

What is the result when you add 15.74 and 2.8 using a place value chart?

• 18.54

• 17.54

• 18.64

• 16.54

Multiple Choice

What is the difference between 8.63 and 2.4?

• 6.23

• 6.03

• 6.13

• 6.33

Fill in the Blanks

Add

$3.25\ +14.1\ +3$  

Multiple Choice

Are the decimals correctly aligned?

• Yes

• No

Multiple Choice

Are the decimals correctly aligned?

• Yes

• No

Multiple Choice

Are the decimals correctly aligned?

• Yes

• No

Multiple Choice

78.5 - 24.72 =

• 45.82

• 54.22

• 53.80

• 53.78

Multiple Choice

What is the first rule for multiplying decimals?

• Line up decimals

• Multiply as if there is no decimal

• Add digits behind the decimals

• Always move decimal to the left in the product

​total of 2 decimal points to the left

Multiple Choice

2 x 0.2

• 0.4

• 2.2

• 4.0

Multiple Choice

How do you know how many decimal places your solution should have?

• Line them up

• count them

• I have no idea

Multiple Choice

0.02 x 0.7

• 1.4

• 0.014

• 0.14

Multiple Choice

$$68.5\ \div5$$  

• 13.7

• 137

• 1.37

• 0.137

Multiple Choice

$$6.85\ \div0.5$$  

• 137

• 13.7

• 1.37

• 0.137

Write in Journal

Multiple Choice

An integer is.........

• a variable

• I have no idea

• All numbers including fractions and decimals.

• All whole numbers and their opposites, like you see on a number line.

Multiple Choice

What is the opposite of -16?

• -16
• 16
• 32
• 0

Multiple Choice

What is the opposite of 7?

• 14

• 7

• -7

• It does not have an opposite

Multiple Choice

Numbers greater than zero are positive numbers.

• True
• False

Multiple Choice

Negatives numbers are right or left of zero?

• right

• left

Multiple Choice

What number is the starting point, or the origin of a number line?

• -1

• 0

• 1

• There is no starting point on a number line.

Multiple Choice

Opposite numbers are numbers:

• That are different distances from zero in the same direction.

• The same distance from zero in different directions.

• Negative

• Positive

Multiple Choice

-17 ___ 11

• $$<$$  

• $$>$$  

• $$=$$  

Multiple Choice

20 ____ -2

• $$=$$

• $$<$$

• $$>$$

Multiple Choice

-19 _________ -14

• $$=$$

• $$>$$

• $$<$$

A distance is ALWAYS POSITIVE! Absolute value is always positive!

Multiple Choice

Does this phrase mean positive, negative or zero?
"sea level"

• Positive
• Negative
• Zero

Multiple Choice

Does this phrase mean positive, negative or zero?
"sea level"

• Positive
• Negative
• Zero

Multiple Choice

Does this phrase mean positive, negative or zero?
"deposit"

• Positive
• Negative
• Zero

Multiple Choice

If the surface of Venus is 595 degrees F above 0, how would you write the integer?

• +595

• -595

• 0

• 595 + 0

Multiple Choice

put in; positive to put money into an account

• Ascend

• Deposit

• Gain

Multiple Choice

owe; negative, Money owed

• debt

• profit

• decreased

We indicate absolute value by putting two bars around the number.

​

Because the absolute value​ of a number is the distance from zero, it is always positive.

​

Absolute Value

Multiple Choice

The ___ of a number is its distance from zero (on the number line).

• rational

• exponent

• absolute value

• ratio

Multiple Choice

The absolute value is ALWAYS positive.

• true

• false

Fill in the Blanks

|-5| =

Fill in the Blanks

$\left|-13\right|$  =

Multiple Choice

What is $$\left|9\right|$$  ?

• $$\frac{1}{9}$$  

• $$-\ \frac{1}{9}$$  

• 9

• -9