Combining Like Terms Digital Homework

Instructions

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

Required

1

Simplify the expression. (Combine the like terms)

2x + 4w + 7x

14x + 4w

5x + 4w

9x + 4w

4x + 8w +14x

Required

1

Match the correct simplifications of the expressions.

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

Required

1

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

Term

Constant

Variable

Required

1

Simplify the expression. (Combine the like terms)

4m + 5m - m

9m - 1

8m

9m

20m -1

Required

1

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

Constant

Coefficient 

Term

Variable

Required

1

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.

Required

1

Simplify the expression. (Use the distributive property)

7(4x + 3)

28x + 21

11x + 10

49x

21x

Required

1

Simplify the expression. (Use the distributive property)

6(4 + 8x)

24x + 48

14x + 10

48x + 24

Required

1

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.

Required

1

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

Required

1

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

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.

This tape diagram represents which situation best?

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

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

Which situation best describes this tape diagram?

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?

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.

This tape diagram represents which situation best?

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

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

Which situation best describes this tape diagram?

Which equations describe this diagram?

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?

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?

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?