Combining Like Terms Digital Homework

Last updated over 2 years ago

12 questions

Note from the author:

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Library

Combining Like Terms Digital Homework

Last updated over 2 years ago

12 questions

Note from the author:

Open Up Ciriculum Unit 6 Expressions 
Distributive Property
Tape Diagrams 
Combining Like Terms

Instructions

You may use calculators, your Open Up workbook and online resources, and your notes to complete this work. 

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Draggable item		Corresponding Item

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Open Up Ciriculum Unit 6 Expressions 
Distributive Property
Tape Diagrams 
Combining Like Terms

You may use calculators, your Open Up workbook and online resources, and your notes to complete this work. 

Simplify the expression. (Combine the like terms)

2x + 4w + 7x

14x + 4w

5x + 4w

9x + 4w

4x + 8w +14x

Match the correct simplifications of the expressions.

Draggable item		Corresponding Item
14x + 5y -7x		7x - 5y
3x - 5y + 4x		6x + 12
3(2x + 4)		8x + 6
2(4x + 3)		7x + 5y

A _____________________ is a fixed quantity that does not vary. (A number)

Term

Constant

Variable

Simplify the expression. (Combine the like terms)

4m + 5m - m

9m - 1

8m

9m

20m -1

A ________________________ is a quantity that can vary (change); represented by a letter or symbol.

Constant

Coefficient 

Term

Variable

Required

1

Simplify the expression. (Use the distributive property)

7(4x + 3)

28x + 21

11x + 10

49x

21x

Simplify the expression. (Use the distributive property)

6(4 + 8x)

24x + 48

14x + 10

48x + 24

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An architect is drafting plans for a new supermarket. There will be a space 144 inches long for rows of nested shopping carts. The first cart is 34 inches long and each nested cart adds another 10 inches. The architect wants to know how many shopping carts will fit in each row.

Which equation best represents the situation?

34x + 10 = 144

34x + 144 = 10

34 + 10x = 144

Kiran is trying to save $160 to buy a new guitar. He has $25 and is going to save $10 a week from money he earns mowing lawns. He wants to know how many weeks it will take him to have enough money to buy the guitar.

Which equation best describes the situation?

10 + 25x = 160

25x +160 = 10

25 + 10x = 160

Simplify the expression. (Combine the like terms)

2x + 4w + 7x

14x + 4w

5x + 4w

9x + 4w

4x + 8w +14x

Match the correct simplifications of the expressions. 

14x + 5y -7x

7x - 5y

3x - 5y + 4x

6x + 12

3(2x + 4)

8x + 6

2(4x + 3)

7x + 5y

A _____________________ is a fixed quantity that does not vary. (A number)

Term

Constant

Variable

Simplify the expression. (Combine the like terms)

4m + 5m - m 

9m - 1

8m

9m

20m -1

A ________________________ is a quantity that can vary (change); represented by a letter or symbol.

Constant

Coefficient 

Term

Variable

This tape diagram represents which situation best?

Suppose a school receives 46 copies of a popular book. The library takes 26 copies and the remainder are split evenly  among 4 teachers.

A company manufactures a special type of sensor, and packs them in boxes of 4 for shipment. Then a new design  increases the weight of each sensor by 9 grams.

Simplify the expression. (Use the distributive property)

  7(4x + 3)

28x + 21

11x + 10

49x

21x

Simplify the expression. (Use the distributive property)

6(4 + 8x)

24x + 48

14x + 10

48x + 24

Which situation best describes this tape diagram?

A company manufactures a special type of sensor, and packs them in boxes of 4 for shipment. Then a new design  increases the weight of each sensor by 9 grams. The new package of 4 sensors weighs 76 grams.

A company manufactures a special type of sensor, and packs them in boxes of 9 for shipment. Then a new design  increases the weight of each sensor by 4 grams. The new package of 9 sensors weighs 76 grams.

Which equations describe this diagram?

An architect is drafting plans for a new supermarket. There will be a space 144 inches long for rows of nested  shopping carts. The first cart is 34 inches long and each nested cart adds another 10 inches. The architect wants  to know how many shopping carts will fit in each row.

Which equation best represents the situation?

34x + 10 = 144

34x + 144 = 10

34 + 10x = 144

Kiran is trying to save $160 to buy a new guitar. He has $25 and is going to save $10 a week from money he earns mowing lawns. He wants to know how many weeks it will take him to have enough money to buy the guitar.

Which equation best describes the situation?

10 + 25x = 160

25x +160 = 10

25 + 10x = 160

This tape diagram represents which situation best?

Suppose a school receives 46 copies of a popular book. The library takes 26 copies and the remainder are split evenly  among 4 teachers.

A company manufactures a special type of sensor, and packs them in boxes of 4 for shipment. Then a new design  increases the weight of each sensor by 9 grams.

Which situation best describes this tape diagram?

A company manufactures a special type of sensor, and packs them in boxes of 4 for shipment. Then a new design  increases the weight of each sensor by 9 grams. The new package of 4 sensors weighs 76 grams.

A company manufactures a special type of sensor, and packs them in boxes of 9 for shipment. Then a new design  increases the weight of each sensor by 4 grams. The new package of 9 sensors weighs 76 grams.

Which equations describe this diagram?

26 + 4x = 46

46 = 4x + 26

4𝑥 = 46 − 26

Only A and B

All equations in A, B, and C describes the tape diagram

Combining Like Terms Digital Homework

Combining Like Terms Digital Homework

Simplify the expression. (Combine the like terms)2x + 4w + 7x

Match the correct simplifications of the expressions.

A _____________________ is a fixed quantity that does not vary. (A number)

Simplify the expression. (Combine the like terms)4m + 5m - m

A ________________________ is a quantity that can vary (change); represented by a letter or symbol.

Simplify the expression. (Use the distributive property) 7(4x + 3)

Simplify the expression. (Use the distributive property)6(4 + 8x)

Kiran is trying to save $160 to buy a new guitar. He has $25 and is going to save $10 a week from money he earns mowing lawns. He wants to know how many weeks it will take him to have enough money to buy the guitar.Which equation best describes the situation?

This tape diagram represents which situation best?

Which situation best describes this tape diagram?

Which equations describe this diagram?

Simplify the expression. (Combine the like terms)

2x + 4w + 7x

Simplify the expression. (Combine the like terms)

4m + 5m - m

Simplify the expression. (Use the distributive property)

7(4x + 3)

Simplify the expression. (Use the distributive property)

6(4 + 8x)

Kiran is trying to save $160 to buy a new guitar. He has $25 and is going to save $10 a week from money he earns mowing lawns. He wants to know how many weeks it will take him to have enough money to buy the guitar.

Which equation best describes the situation?