Transcript 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 #2 Answer Find the GCF of 42 and 56 LCM/GCF #3 Find the GCF of 75 and 30 LCM/GCF #3 Answer Find the GCF of 75 and 30 LCM/GCF #4 Find the LCM of 16 and 20. LCM/GCF #4 Answer Find the LCM of 16 and 20. LCM/GCF #5 Find the LCM of 18 and 24 LCM/GCF #5 Answer Find the LCM of 18 and 24 LCM/GCF #6 Find the LCM of 9 and 12 LCM/GCF #6 Answer 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 #7 Answer 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 #8 Answer 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 #9 Answer 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 #10 Answer 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 #1 Answer 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 3 4 2 4 Dividing Fractions #2 Answer 1 3 4 2 4 Dividing Fractions #3 1 2 3 1 6 3 Dividing Fractions #3 Answer 1 2 3 1 6 3 Dividing Fractions #4 3 3 2 1 16 4 Dividing Fractions #4 Answer 3 3 2 1 16 4 Dividing Fractions #5 2 4 7 3 Dividing Fractions #5 Answer 2 4 7 3 Dividing Fractions #6 1 2 2 1 4 3 Dividing Fractions #6 Answer 1 2 2 1 4 3 Dividing Fractions #7 5 1 1 8 2 Dividing Fractions #7 Answer 5 1 1 8 2 Dividing Fractions #8 3 3 4 Dividing Fractions #8 Answer 3 3 4 Dividing Fractions #9 3 1 2 4 Dividing Fractions #9 Answer 3 1 2 4 Dividing Fractions #10 2 2 3 3 Dividing Fractions #10 Answer 2 2 3 3 Dividing Fractions #11 1 2 2 2 3 Dividing Fractions #11 Answer 1 2 2 2 3 Dividing Fractions #12 When you divide one number by a fraction, why is the answer larger than the dividend? Dividing Fractions #12 Answer 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 cups. The chef makes 48 cups of chili each night. How many servings of chili are in 48 cups? is1 1 2 Dividing Fractions #13 Answer 1 1 2 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? Dividing Fractions #14 Rick bought 12 lb of raisins. He packed them into 3 freezer bags so that each bag weighs 4 lb. How many freezer bags did she pack? Dividing Fractions #14 Answer Rick bought 12 lb of raisins. He packed them into freezer bags so that each bag weighs 34 lb. How many freezer bags did she pack? 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 #15 Answer 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 #1 Answer Use the distributive property to rewrite 21 + 35 7x3+7x5 7(3 + 5) Distributive Property #2 Use the Distributive Property to rewrite 32 – 24. Distributive Property #2 Answer Use the Distributive Property to rewrite 32 – 24. 2 x 16 – 2 x 12 2(16 – 12) 8x4–8x3 8 (4 – 3) 4x8–4x6 4(8 – 6) Distributive Property #3 Use the Distributive Property to rewrite 12 – 9. Distributive Property #3 Answer Use the Distributive Property to rewrite 12 – 9. 3x4–3x3 3(4 – 3) Distributive Property #4 Draw a model to show that 4(3 + 2) = 12 + 8 Distributive Property #4 Answer 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 #1 Answer 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 #2 Answer 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 #3 Answer 35.34 ÷ 6.2 Solution: Decimals #4 11.6 ÷ 8 Decimals #4 Answer 11.6 ÷ 8 Decimals #5 2.52 ÷ 0.4 Decimals #5 Answer 2.52 ÷ 0.4 Decimals #6 12.6 x 2.1 Decimals #6 Answer 12.6 x 2.1 Decimals #7 1.52 x 2.5 Decimals #7 Answer 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 #8 Answer 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 #9 Answer 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 #10 Answer 7 – 0.6 Decimals #11 10.508 – 6.73 Decimals #11 Answer 10.508 – 6.73 Decimals #12 0.975 + 13.8 Decimals #12 Answer 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 #13 Answer You buy 5 CD’s for $9.68 each. You also buy 6 itunes for 1.39 each. How much do you spend?