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Laabri

Unit 4 Study Guide: Expressions DUE 1/27

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1.

Which of the following is NOT equivalent to 15x-6?

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2.

Cassie was selling cookies (c) and brownies (b) at a bake sale for $2 each. Her father donated $20 at the start of the bake sale. The expression that represents her total earnings is shown below:

2(b+c)+20

Which of the following statements could also represent Cassie's earnings?

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3.

Match the equivalent expression together.

Draggable itemarrow_right_altCorresponding Item

-5(-4a + 8)

arrow_right_alt

6(-2a + 3)

a + a + a + 12

arrow_right_alt

-9(2a - 4)

-2(6a - 10)

arrow_right_alt

10(2a - 4)

6a + 7 + 4a + 3

arrow_right_alt

-5a - 10

-6(3a - 6)

arrow_right_alt

-12a + 20

-5(a + 2)

arrow_right_alt

3a + 12

-3(4a - 6)

arrow_right_alt

10a + 10

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4.

Select all expressions that are equivalent to 24x+36y

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5.

Which of the following situations could be described by the expression x-2.5?

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6.

Evaluate the expression below, then type your expression in the short answer section.

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7.

Find the area of both figures that make up the irregular figure:

Area of Fig. A:

Area of Fig. B:

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8.

Find the area of both figures that make up the irregular figure:

Area of Fig. A:

Area of Fig. B:

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9.

What is the perimeter of the following shape?

(*Hint: combine like terms!)

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10.

What is the perimeter of the following shape?

(*Hint: combine like terms!)

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11.

What is the perimeter of the following shape?

(*Hint: combine like terms!)

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12.

Evaluate:

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13.

Evaluate:

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14.

The formula for the volume of a cube is

What is the volume of the cube if each side length measures 2/3 feet?

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15.

Evaluate:

3(n + 5) + 10n if n = 5

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16.

What is the value of the expression if a = 1.5 and b = 3

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17.

What is the value of the expression if x = 3.75 and y = 5

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18.

Ethan is emptying out his closet. He has 36 baseball cards and 16 Pokémon cards that he wants to then give to his friends. He wants to give away as many cards as possible and he wants to make sure that his friends have an equal number of each card.

Part A) What is the greatest number of friends he can give his cards away to?

Part B) How many baseball cards will each friend receive?

How many Pokémon cards will each friend receive?

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19.

Mrs. Jones wants to make prize bags for her Top Dawgs who make a 100% on her math test. She wants to include a lollipop and a 3D printed fidget. The lollipops come in packs of 8 and the 3D printed fidgets comes in packs of 6.

Part A) What is the smallest number of lollipops and 3D printed fidgets would Mrs. Jones have to buy to have the same number of both?

Part B) How many packs of lollipops will Mrs. Jones have to buy?

How many packs of 3D printed gadgets will Mrs. Jones have to buy?

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20.

Read each scenario and write the expression.

Alex is planting flowers. She wants to put 3 flowers in each pot. Write an expression to show how many pots she needs to buy. Use x for your variable.

Eddie scored 24 points the basketball game on Friday. Josh scored x fewer points than Eddie. Write an expression to show how many points Josh scored at Friday's game.

Keri and Kait both love to read books. Kait has 3/4 as many books as Keri. Write an expression to show how many books Kait owns. Use x for your variable.

It rained 1.25 inches more today than it did yesterday. Write an expression to show how much more it rained today. Use x as your variable.