Mini Unit #1 Assessment (GCF, LCM, PF, +,-,x fractions)

Instructions

Please show all work.

Part 1: GCF and LCM

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What is the correct prime factorization of 60?

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Find the least common multiple (LCM) of 12 and 20.

The LCM of 12 and 20 is _______ . (ONLY WRITE THE NUMBER IN THE BLANK)

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Find the greatest common factor (GCF) of 24 and 40.

The GCF of 24 and 40 is _______. (ONLY WRITE THE NUMBER IN THE BLANK)

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Use the GCF you found from question #3 to simplify this fraction.

Which of the following represents this fraction (24/40) in simplest form?

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Today every eighth customer at a restaurant will get a free sandwich and every sixth
customer will get a free drink.

Which customers will be the first THREE to get free drinks?

Required

1

Today every eighth customer at a restaurant will get a free sandwich and every sixth
customer will get a free drink.

Which customers will be the first THREE to get free sandwiches?

Required

1

Today every eighth customer at a restaurant will get a free sandwich and every sixth
customer will get a free drink.

Which customer will be the first to get both a free drink AND a free sandwich?

Required

1

Today every eighth customer at a restaurant will get a free sandwich and every sixth
customer will get a free drink.

The owner of the restaurant expects to serve exactly 70 customers during lunch.
How many free sandwiches will the owner give out during lunch?

Required

1

The table below shows the number of students in the school chorus.
The chorus teacher plans to arrange the students in equal rows. If each row must have either all boys or all girls, what is the greatest number of students that could be in each row? No students can be left out :)

Part 2: Add, Subtract, and Multiply Fractions

Please simplify all work.

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1

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Estimate:

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1

Solve:

The answer is _______ . (ONLY WRITE THE FRACTION HERE)

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Use the model to complete the multiplication sentence.

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What product is shown in this array (the overlapped/striped section)?

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1

Jason is 42/3 feet tall. Henry is 3 1/6 feet tall.

Which estimate best represents how much taller Jason is than Henry?

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1

Jason is 42/3 feet tall. Henry is 3 1/6 feet tall.

Solve: How much taller Jason is than Henry?

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1

Bella has 1 1/4 pounds of sugar at her house. Chloe uses 2/3 of it to make cookies.

Which estimate best represents how much sugar Chloe used?

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1

Bella has 1 1/4 pounds of sugar at her house. Chloe uses 2/3 of it to make cookies.

Solve: How much sugar did Chloe use?

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1

Jack brings 2 3/8 cups of hot chocolate to his friend's house. Matt brings 1 1/2 cups of hot chocolate to the friend's house at the same time.

Which estimate best represents how much hot chocolate they brought altogether?

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1

Jack brings 2 3/8 cups of hot chocolate to his friend's house. Matt brings 1 1/2 cups of hot chocolate to the friend's house at the same time.

Solve: How much hot chocolate did Jack and Matt bring altogether?

Please show all work.

Please show all work.

Mini Unit #1 Assessment (GCF, LCM, PF, +,-,x fractions)

Please show all work.

Please show all work.

Part 1: GCF and LCM

What is the correct prime factorization of 60?

Use the GCF you found from question #3 to simplify this fraction.Which of the following represents this fraction (24/40) in simplest form?

Today every eighth customer at a restaurant will get a free sandwich and every sixthcustomer will get a free drink.Which customers will be the first THREE to get free drinks?

Today every eighth customer at a restaurant will get a free sandwich and every sixthcustomer will get a free drink. Which customers will be the first THREE to get free sandwiches?

Today every eighth customer at a restaurant will get a free sandwich and every sixthcustomer will get a free drink. Which customer will be the first to get both a free drink AND a free sandwich?

Today every eighth customer at a restaurant will get a free sandwich and every sixthcustomer will get a free drink. The owner of the restaurant expects to serve exactly 70 customers during lunch.How many free sandwiches will the owner give out during lunch?

The table below shows the number of students in the school chorus.The chorus teacher plans to arrange the students in equal rows. If each row must have either all boys or all girls, what is the greatest number of students that could be in each row? No students can be left out :)

Part 2: Add, Subtract, and Multiply Fractions

Please simplify all work.

Estimate:

Use the model to complete the multiplication sentence.

What product is shown in this array (the overlapped/striped section)?

Jason is 42/3 feet tall. Henry is 3 1/6 feet tall.Which estimate best represents how much taller Jason is than Henry?

Jason is 42/3 feet tall. Henry is 3 1/6 feet tall.Solve: How much taller Jason is than Henry?

Bella has 1 1/4 ​pounds of sugar at her house. Chloe uses 2/3 of it to make cookies.Which estimate best represents how much sugar Chloe used?

Bella has 1 1/4 ​pounds of sugar at her house. Chloe uses 2/3 of it to make cookies.Solve: How much sugar did Chloe use?

Jack brings 2 3/8 cups of hot chocolate to his friend's house. Matt brings 1 1/2 cups of hot chocolate to the friend's house at the same time.Which estimate best represents how much hot chocolate they brought altogether?

Jack brings 2 3/8 cups of hot chocolate to his friend's house. Matt brings 1 1/2 cups of hot chocolate to the friend's house at the same time.Solve: How much hot chocolate did Jack and Matt bring altogether?

Part 1: GCF and LCM

What is the correct prime factorization of 60?

Use the GCF you found from question #3 to simplify this fraction.Which of the following represents this fraction (24/40) in simplest form?

Today every eighth customer at a restaurant will get a free sandwich and every sixthcustomer will get a free drink.Which customers will be the first THREE to get free drinks?

Today every eighth customer at a restaurant will get a free sandwich and every sixthcustomer will get a free drink. Which customers will be the first THREE to get free sandwiches?

Today every eighth customer at a restaurant will get a free sandwich and every sixthcustomer will get a free drink. Which customer will be the first to get both a free drink AND a free sandwich?

Today every eighth customer at a restaurant will get a free sandwich and every sixthcustomer will get a free drink. The owner of the restaurant expects to serve exactly 70 customers during lunch.How many free sandwiches will the owner give out during lunch?

The table below shows the number of students in the school chorus.The chorus teacher plans to arrange the students in equal rows. If each row must have either all boys or all girls, what is the greatest number of students that could be in each row? No students can be left out :)

Part 2: Add, Subtract, and Multiply Fractions

Please simplify all work.

Estimate:

Use the model to complete the multiplication sentence.

What product is shown in this array (the overlapped/striped section)?

Jason is 42/3 feet tall. Henry is 3 1/6 feet tall.Which estimate best represents how much taller Jason is than Henry?

Jason is 42/3 feet tall. Henry is 3 1/6 feet tall.Solve: How much taller Jason is than Henry?

Bella has 1 1/4 ​pounds of sugar at her house. Chloe uses 2/3 of it to make cookies.Which estimate best represents how much sugar Chloe used?

Bella has 1 1/4 ​pounds of sugar at her house. Chloe uses 2/3 of it to make cookies.Solve: How much sugar did Chloe use?

Jack brings 2 3/8 cups of hot chocolate to his friend's house. Matt brings 1 1/2 cups of hot chocolate to the friend's house at the same time.Which estimate best represents how much hot chocolate they brought altogether?

Jack brings 2 3/8 cups of hot chocolate to his friend's house. Matt brings 1 1/2 cups of hot chocolate to the friend's house at the same time.Solve: How much hot chocolate did Jack and Matt bring altogether?

Use the GCF you found from question #3 to simplify this fraction.

Which of the following represents this fraction (24/40) in simplest form?

Today every eighth customer at a restaurant will get a free sandwich and every sixth
customer will get a free drink.

Which customers will be the first THREE to get free drinks?

Today every eighth customer at a restaurant will get a free sandwich and every sixth
customer will get a free drink.

Which customers will be the first THREE to get free sandwiches?

Today every eighth customer at a restaurant will get a free sandwich and every sixth
customer will get a free drink.

Which customer will be the first to get both a free drink AND a free sandwich?

Today every eighth customer at a restaurant will get a free sandwich and every sixth
customer will get a free drink.

The owner of the restaurant expects to serve exactly 70 customers during lunch.
How many free sandwiches will the owner give out during lunch?

The table below shows the number of students in the school chorus.
The chorus teacher plans to arrange the students in equal rows. If each row must have either all boys or all girls, what is the greatest number of students that could be in each row? No students can be left out :)

Jason is 42/3 feet tall. Henry is 3 1/6 feet tall.

Which estimate best represents how much taller Jason is than Henry?

Jason is 42/3 feet tall. Henry is 3 1/6 feet tall.

Solve: How much taller Jason is than Henry?

Bella has 1 1/4 pounds of sugar at her house. Chloe uses 2/3 of it to make cookies.

Which estimate best represents how much sugar Chloe used?

Bella has 1 1/4 pounds of sugar at her house. Chloe uses 2/3 of it to make cookies.

Solve: How much sugar did Chloe use?

Jack brings 2 3/8 cups of hot chocolate to his friend's house. Matt brings 1 1/2 cups of hot chocolate to the friend's house at the same time.

Which estimate best represents how much hot chocolate they brought altogether?

Jack brings 2 3/8 cups of hot chocolate to his friend's house. Matt brings 1 1/2 cups of hot chocolate to the friend's house at the same time.

Solve: How much hot chocolate did Jack and Matt bring altogether?

Use the GCF you found from question #3 to simplify this fraction.

Which of the following represents this fraction (24/40) in simplest form?

Today every eighth customer at a restaurant will get a free sandwich and every sixth
customer will get a free drink.

Which customers will be the first THREE to get free drinks?

Today every eighth customer at a restaurant will get a free sandwich and every sixth
customer will get a free drink.

Which customers will be the first THREE to get free sandwiches?

Today every eighth customer at a restaurant will get a free sandwich and every sixth
customer will get a free drink.

Which customer will be the first to get both a free drink AND a free sandwich?

Today every eighth customer at a restaurant will get a free sandwich and every sixth
customer will get a free drink.

The owner of the restaurant expects to serve exactly 70 customers during lunch.
How many free sandwiches will the owner give out during lunch?

The table below shows the number of students in the school chorus.
The chorus teacher plans to arrange the students in equal rows. If each row must have either all boys or all girls, what is the greatest number of students that could be in each row? No students can be left out :)

Jason is 42/3 feet tall. Henry is 3 1/6 feet tall.

Which estimate best represents how much taller Jason is than Henry?

Jason is 42/3 feet tall. Henry is 3 1/6 feet tall.

Solve: How much taller Jason is than Henry?

Bella has 1 1/4 pounds of sugar at her house. Chloe uses 2/3 of it to make cookies.

Which estimate best represents how much sugar Chloe used?

Bella has 1 1/4 pounds of sugar at her house. Chloe uses 2/3 of it to make cookies.

Solve: How much sugar did Chloe use?

Jack brings 2 3/8 cups of hot chocolate to his friend's house. Matt brings 1 1/2 cups of hot chocolate to the friend's house at the same time.

Which estimate best represents how much hot chocolate they brought altogether?

Jack brings 2 3/8 cups of hot chocolate to his friend's house. Matt brings 1 1/2 cups of hot chocolate to the friend's house at the same time.

Solve: How much hot chocolate did Jack and Matt bring altogether?