unit 1

Unit 1

Review Problems

LCM & GCF

LCM/GCF #1

Find the GCF of 8 and 30

LCM/GCF #1 Answer

Find the GCF of 8 and 30

LCM/GCF #2

Find the GCF of 42 and 56

LCM/GCF #2Answer

Find the GCF of 42 and 56

LCM/GCF #3

Find the GCF of 75 and 30

LCM/GCF #3Answer

Find the GCF of 75 and 30

LCM/GCF #4

Find the LCM of 16 and 20.

LCM/GCF #4Answer

Find the LCM of 16 and 20.

LCM/GCF #5

Find the LCM of 18 and 24

LCM/GCF #5Answer

Find the LCM of 18 and 24

LCM/GCF #6

Find the LCM of 9 and 12

LCM/GCF #6Answer

Find the LCM of 9 and 12

LCM/GCF #7

• Publix sells apple juice in 8oz containers, pineapple juice in 12 oz containers and grape juice in 16 oz containers. If Noah wants to have the same amount of each juice to make some punch, what is the least amount of ounces he should buy of each flavor of fruit juice? How many containers of each flavor is he buying?

LCM/GCF #7Answer

Publix sells apple juice in 8oz containers, pineapple juice in 12 oz containers and grape juice in 16 oz containers. If Noah wants to have the same amount of each juice to make some punch, what is the least amount of ounces he should buy of each flavor of fruit juice? How many containers of each flavor is he buying?

LCM/GCF #8

• Joe Bob is making a garden of 36 tomato plants and 45 corn plants. He wants to plant the same number and type of veggie in each row. What is the maximum number of veggie plants Joe Bob can plant per row? How many rows of tomato plants will he have? How many rows of corn plants?

LCM/GCF #8Answer

Joe Bob is making a garden of 36 tomato plants and 45 corn plants. He wants to plant the same number and type of veggie in each row. What is the maximum number of veggie plants Joe Bob can plant per row? How many rows of tomato plants will he have? How many rows of corn plants?

LCM/GCF #9

• Logan is buying hot dogs for a class picnic. Hot dogs are sold in packages of 10. Hot dog buns are sold in packages of 8. What is the smallest number of hot dogs and buns Logan can buy to have an equal number of each?

LCM/GCF #9Answer

Logan is buying hot dogs for a class picnic. Hot dogs are sold in packages of 10. Hot dog buns are sold in packages of 8. What is the smallest number of hot dogs and buns Logan can buy to have an equal number of each?

LCM/GCF #10

• There are 40 girls and 32 boys who want to participate in 6th grade intramurals. If eachteam must have the same number of girls and the same number of boys, what is the greatest number of teams that can participate in intramurals? How many girls and boys will be on each team?

LCM/GCF #10Answer

There are 40 girls and 32 boys who want to participate in 6th grade intramurals. If eachteam must have the same number of girls and the same number of boys, what is the greatest number of teams that can participate in intramurals? How many girls and boys will be on each team?

Dividing Fractions

Dividing Fractions #1

Explain how to divide fractions.

Dividing Fractions #1Answer

Explain how to divide fractions.

Rewrite whole numbers and mixed numbers as improper fractions. Bring down (skip) the first fraction, change the division to multiplication, flip the 2nd fraction (reciprocal). Multiply. Simplify your answer.

Dividing Fractions #2

1 342 4

Dividing Fractions #2Answer

1 342 4

Dividing Fractions #3

1 23 16 3

Dividing Fractions #3Answer1 2

3 16 3

Dividing Fractions #4

3 32 116 4

Dividing Fractions #4Answer

3 32 116 4

Dividing Fractions #5

24 73

Dividing Fractions #5Answer

24 73

Dividing Fractions #6

1 22 14 3

Dividing Fractions #6Answer

1 22 14 3

Dividing Fractions #7

5 118 2

Dividing Fractions #7Answer

5 118 2

Dividing Fractions #8

33

4

Dividing Fractions #8Answer

33

4

Dividing Fractions #9

31 24

Dividing Fractions #9Answer

31 24

Dividing Fractions #10

22 33

Dividing Fractions #10Answer

22 33

Dividing Fractions #11

1 222 3

Dividing Fractions #11Answer1 2

22 3

Dividing Fractions #12

When you divide one number by a fraction, why is the answer larger than the dividend?

Dividing Fractions #12Answer

When you divide one number by a fraction, why is the answer larger than the dividend?

If you divide a number by a number less than 1, you will get a quotient bigger than the original number.

Dividing Fractions #13

• At Linda’s restaurant, one serving of chili is cups. The chef makes 48 cups of chili each night. How many servings of chili are in 48 cups?

112

Dividing Fractions #13Answer

At Linda’s restaurant, one serving of chili is cups. The chef makes 48 cups of chili each night. How many servings of chili are in 48 cups?

112

Dividing Fractions #14

Rick bought 12 lb of raisins. He packed them into freezer bags so that each bag weighs lb. How many freezer bags did she pack?

3

4

Dividing Fractions #14 Answer

Rick bought 12 lb of raisins. He packed them into freezer bags so that each bag weighs lb. How many freezer bags did she pack?3

4

Dividing Fractions #15

Jane uses ¼ of a cup of batter for each cupcake. How many cupcakes can she make if she starts with 3 ½ cups of batter? Draw a model to represent this situation.

Dividing Fractions #15Answer

Jane uses ¼ of a cup of batter for each cupcake. How many cupcakes can she make if she starts with 3 ½ cups of batter? Draw a model to represent this situation.

14 cupcakes

Distributive Property

Distributive Property #1

Use the distributive property to rewrite 21 + 35

Distributive Property #1Answer

Use the distributive property to rewrite 21 + 35

7 x 3 + 7 x 5 7(3 + 5)

Distributive Property #2

Use the Distributive Property to rewrite 32 – 24.

Distributive Property #2Answer

Use the Distributive Property to rewrite 32 – 24.

2 x 16 – 2 x 12 8 x 4 – 8 x 3 4 x 8 – 4 x 6 2(16 – 12) 8 (4 – 3) 4(8 – 6)

Distributive Property #3

Use the Distributive Property to rewrite 12 – 9.

Distributive Property #3Answer

Use the Distributive Property to rewrite 12 – 9.

3 x 4 – 3 x 3 3(4 – 3)

Distributive Property #4

Draw a model to show that 4(3 + 2) = 12 + 8

Distributive Property #4Answer

Draw a model to show that 4(3 + 2) = 12 + 8

4 groups of 3 smiley faces = 12 smiley faces.4 groups of 2 moons = 8 moons

Decimals

Decimals #1

• At the end of the school year, Taylor owed book fines of $4.35 and lab fees of $2.30. She paid both. She started with $10. How much should she have left?

Decimals #1Answer

At the end of the school year, Taylor owed book fines of $4.35 and lab fees of $2.30. She paid both. She started with $10. How much should she have left?

Decimals #2

Margie spent $21.89 on material to make a skirt. The material cost $3.98 per yard. How many yards did Margie buy?

Decimals #2Answer

Margie spent $21.89 on material to make a skirt. The material cost $3.98 per yard. How many yards did Margie buy?

Decimals #3

35.34 ÷ 6.2

Decimals #3Answer

35.34 ÷ 6.2

Solution:

Decimals #4

11.6 ÷ 8

Decimals #4 Answer

11.6 ÷ 8

Decimals #5

2.52 ÷ 0.4

Decimals #5Answer

2.52 ÷ 0.4

Decimals #6

12.6 x 2.1

Decimals #6Answer

12.6 x 2.1

Decimals #7

1.52 x 2.5

Decimals #7Answer

1.52 x 2.5

Decimals #8

Greg’s scores at four gymnastic meets were 9.65, 8.758, 9.884, and 9.5 What was his total score for all four meets?

Decimals #8Answer

Greg’s scores at four gymnastic meets were 9.65, 8.758, 9.884, and 9.5 What was his total score for all four meets?

Decimals #9

Courtney walked a total of 16 miles in 4 days. If she walked 3.45 miles on Monday, 4 miles on Tuesday, and 6.8 miles on Wednesday. How many miles did she walk on Thursday?

Decimals #9Answer

Courtney walked a total of 16 miles in 4 days. If she walked 3.45 miles on Monday, 4 miles on Tuesday, and 6.8 miles on Wednesday. How many miles did she walk on Thursday?

Decimals #10

7 – 0.6

Decimals #10Answer

7 – 0.6

Decimals #11

10.508 – 6.73

Decimals #11Answer

10.508 – 6.73

Decimals #12

0.975 + 13.8

Decimals #12Answer

0.975 + 13.8

Decimals #13

You buy 5 CD’s for $9.68 each. You also buy 6 itunes for 1.39 each. How much do you spend?

Decimals #13Answer

You buy 5 CD’s for $9.68 each. You also buy 6 itunes for 1.39 each. How much do you spend?