6MA Final Review

Mixed Review for Finals!
Math Final is Wednesday December 18th!

​Our key words tell us what operation the problem wants us to solve.
Make sure to write and study these words to help for your test!

Operation Key Words

When adding and subtracting fractions with LIKE DENOMINATORS.
- As long as the denominators are the same, you simply solve the numerator.

When adding and subtracting fractions with UNLIKE DENOMINATORS
- Find common factors for the denominators
- Multiply both numerators and denominators
- Once the denominators are the same, solve for the numerator

Adding & Subtracting Fractions

When MULTIPLYING fractions
- Multiply both the numerator and denominator straight across

When DIVIDING fractions
- Technically, we cannot divide! So we need to do a trick.
- Keep, Change and Flip
Keep the first fraction
Change the operation to multiplication
Flip the fraction to it's reciprocal
- Then you can multiply straight across

Mult. & Divide Fractions

Multiple Choice

Find the sum of $$\frac{3}{7}$$ and $$\frac{5}{8}$$

• $$\frac{8}{56}$$

• $$\frac{59}{56}$$

• $$\frac{8}{15}$$

• $$\frac{2}{56}$$

Multiple Choice

What is the difference of $$5\ \frac{3}{4}$$ and $$2\ \frac{1}{4}$$

• 2

• $$3\ \frac{1}{2}$$

• $$3\ \frac{1}{4}$$

• $$4\ \frac{1}{4}$$

Multiple Choice

Jose rode his bike  $$2\ \frac{1}{2}$$ miles on Monday and $$\frac{4}{5}$$ of a mile on Wednesday. How far did he ride altogether?

• $$3\ \frac{3}{10}$$

• $$3\ \frac{1}{5}$$

• $$2\ \frac{5}{7}$$

• $$2\ \frac{2}{5}$$

Multiple Choice

Mary rode her bike  $$3\ \frac{1}{4}$$ miles on Tuesday and $$\frac{3}{4}$$ of a mile on Thursday. How much farther did she ride on Tuesday?

• $$2\ \frac{7}{8}$$

• $$1\ \frac{1}{4}$$

• $$2\ \frac{1}{2}$$

• $$4\ \frac{1}{8}$$

Multiple Choice

Kim makes individual servings of pudding by dividing $$7\ \frac{1}{2}$$ cups of pudding into individual $$\frac{5}{8}$$ cups servings. How many individual servings can Kim make?

• 5 servings

• 8 servings

• 7 servings

• 12 servings

Multiple Choice

What is the product of $$\frac{3}{4}$$ and $$\frac{1}{2}$$

• $$\frac{3}{8}$$

• $$\frac{2}{3}$$

• $$\frac{3}{2}$$

• $$\frac{8}{3}$$

​Our key words tell us what operation the problem wants us to solve.
Make sure to write and study these words to help for your test!

Operation Key Words

Multiple Choice

Which has the greatest difference?

• 7.38 - 0.0011

• 7.39 - 0.0012

• 7.40 - 0.0022

• 7.41 - 0.0021

Multiple Choice

What is the product of 2.6 x 3.2?

• 6.232

• 8.32

• 7.8

• 9.6

Math Response

A pound of blueberries costs $3.98 and a pound of clementines costs $2.49. What is the combined cost of 0.6 pound of blueberries and 1.8 pounds of clementines?

Type answer here

Correct Answer: 6.87

Deg^°

Rad

Math Response

The mass of one coin is 16.718 grams. The mass of a second coin is 27.22 grams. How much greater is the mass of the second coin than the first?

Type answer here

Correct Answer: 10.502

Deg^°

Rad

​Ratios is a comparison between to different quantities
- 5 cats to 4 dogs
- 10 girls to 28 students in class

When comparing ratios we want to make sure they are equivalent.
- Equivalent means that they are equal or the same
- If I multiply/divide one quantity, I must do the same to the other, in order to stay equal.

Ratios

​This is one model you can use to solve for your ratios!
Double number lines are similar to ratio tables.

Ratios focus on only multiplying and dividing for patterns. So whatever you multiply the top, you od the same for the bottom.

Double Number Lines

​Tape diagram is good for visuals! Just like using pictures of cats and dogs.
These are the best to use when the ratio gives you a total amount. That way it's easy to solve for the part!

Tape Diagrams are also nice because whatever goes in one box, goes to ALL of the boxes.
So if there is a total of 32 Drama DVD's and only 8 boxes, I ask "what number can go in there 8 times to equal 32?" This will help solve for my Mystery DVD's.

​​Tape Diagram

​This is nice to easily and quickly find the missing value in proportions AND to test if ratios are equivalent!

Remember, you're solving for x so what did we do to 5 to get 15?
I know 5 x 3 = 15
So I will then multiply 3 to get my x
3 x 3 = 9
x = 9

Proportions

The formula for solving for percentages is here!

Fun Fact - Your desmos scientific calculator lets you type in "__% of __" and gives you an answer!

​

Percent Proportions

Match

Match the following

• 18% of 35

• What percent of 90 is 12

• 25% of 200

• What is 15% of 60?

• 30% of 150

6.65

13.33

50

9

45

• 6.65

• 13.33

• 50

• 9

• 45

Multiple Choice

 There are 6 cats, 9 dogs, and 5 hamsters at an animal shelter. What is the ratio of cats to dogs?

• 1 : 3

• 2 : 3

• 3 : 2

• 3 : 10

Multiple Choice

 There are 6 cats, 9 dogs, and 5 hamsters at an animal shelter. What is the ratio of all animals to hamsters?

• 1 : 3

• 2 : 3

• 4 : 1

• 3 : 10

Multiple Choice

There are 6 cats, 9 dogs, and 5 hamsters at an animal shelter. What is the ratio of cats to all the animals?

• 1 : 3 because there are 6 cats and 9 dogs

• 10 : 3 because there are 20 total animals and 6 cats

• 3 : 10 because there are 6 cats and 20 total animals

• 3 : 1 because there are 20 total animals and 14 other animals

Math Response

A store has 1,500 squishmallows ready to be sold, 300 are of the small size. The rest are of large size. What is the ratio of small size to large size?

Simplify if possible and write as a fraction.

Type answer here

Correct Answer: \frac{1}{4}

Deg^°

Rad

Multiple Choice

The ratio of gumballs to lollipops sold at a candy store was 4 to 9. If a total of 156 pieces of candy were sold, how many were gumballs?

• 48 gumballs

• 163 gumballs

• 92 gumballs

• 108 gumballs

Math Response

Ivan is building a house with bricks, stacking them one on top of another. The table shows the height of the wall as he builds. What is the missing value?

Type answer here

Correct Answer: 18

Deg^°

Rad

Graphing

Plot the points on the graph

Math Response

Fatima competes in gymnastics. She has won gold, and silver medals. For every 2 gold medals she has won, she has won 5 silver medals. If she has won 10 gold medals, how many silver medals has she won?

Type answer here

Correct Answer: 25

Deg^°

Rad

Multiple Choice

A farmer grows corn and wheat. The ratio of corn to wheat is 

5/2. If he grew 135 rows of corn, how many rows of wheat did he grow?

• 27

• 38

• 54

• 338

Math Response

A recipe uses 1 teaspoon for every 2 tablespoons of sugar. If you use 3 tablespoons of sugar, how many teaspoons of cinnamon should you use?

Type answer here

Correct Answer: 1.5

Deg^°

Rad

​The coordinate plane is broken into 4 different quadrants.
Quadrants
- Q1 (+X, +Y)
- Q2 (-X, +Y)
- Q3 (-X, -Y)
- Q4 (+X, -Y)
Make sure when plotting your points, you move X first (left and right) then Y (up and down)

Coordinate Plane

When we reflect over the coordinate plane, we need to make sure to that we remember which value changes!
If we reflect over the X-AXIS
- The X stays the same, Y is the opposite
If we reflect over the Y-AXIS
- The X is the opposite, Y stays the same

Reflection on the Coordinate Plane

​

Multiple Choice

(1,3) when reflected on the X-Axis

• (1,3)

• (-1, 3)

• (1, -3)

• (-1, -3)

Multiple Choice

(2, -5) when reflected on the X-Axis

• (2 , -5)

• (-2, 5)

• (2, 5)

• (-2, -5)

Multiple Choice

Larry lives in Quadrant IV (4). Which of the following coordinates could be used to describe where Larry lives?

• (5,7)

• (-5,7)

• (-5,-7)

• (5,-7)

Multiple Choice

(-3, 8) when reflected over the Y-Axis

• (3, -8)
• (-3, -8)
• (3, 8)
• (-3, 8)

Multiple Choice

(4, 9) when reflected over the Y-Axis

• (-4, 9)
• (0, 9)
• (-4, -9)
• (4, -9)

Poll

Finished with our review!

How do you feel about the final coming up?

• I feel great! I may do better than my Midterm!

• I feel good/okay! I will do my best!

• I feel nervous. I may need to study some more.