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Unit 4 Study Guide: Expressions DUE 1/27

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Last updated 30 days ago
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Question 1
1.

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

Question 2
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?

Question 3
3.

Match the equivalent expression together.

Draggable itemarrow_right_altCorresponding Item
-5(a + 2)
arrow_right_alt
6(-2a + 3)
-6(3a - 6)
arrow_right_alt
-9(2a - 4)
6a + 7 + 4a + 3
arrow_right_alt
10(2a - 4)
-5(-4a + 8)
arrow_right_alt
-5a - 10
-2(6a - 10)
arrow_right_alt
-12a + 20
-3(4a - 6)
arrow_right_alt
3a + 12
a + a + a + 12
arrow_right_alt
10a + 10
Question 4
4.

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

Question 5
5.

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

Question 6
6.

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

Question 7
7.
Find the area of both figures that make up the irregular figure:

Area of Fig. A: _______

Area of Fig. B: _______
Question 8
8.
Find the area of both figures that make up the irregular figure:
Area of Fig. A: _______

Area of Fig. B: _______
Question 9
9.

What is the perimeter of the following shape?


(*Hint: combine like terms!)

Question 10
10.

What is the perimeter of the following shape?


(*Hint: combine like terms!)

Question 11
11.

What is the perimeter of the following shape?

(*Hint: combine like terms!)

Question 12
12.

Evaluate:

Question 13
13.

Evaluate:

Question 14
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?

Question 15
15.

Evaluate:

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

Question 16
16.

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

Question 17
17.

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

Question 18
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?_______
Question 19
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? _______
Question 20
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. _______