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You are ordering food for your birthday party. Each pizza costs $12. Each case of drinks costs $5 and the cake costs $25. The total amount can be modeled by the expression 12p+5d+25

What does the p represent?

Question 1 options:

The cost of the cake

The number of drinks ordered

The number of pizzas ordered

The cost of each pizza

Question 2 (1 point)

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How many terms are in the expression 12x-y?

Question 2 options:

12

-1

None

2

Question 3 (1 point)

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What is the coefficient of y in the expression 4x-6y+12?

Question 3 options:
-6

4

3

12

Question 4 (1 point)
6b-4a+4a-17b+b+2a-8

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When this expression is simplified, what is the coefficient of b?

Question 4 options:

10

-10

-8

2

Question 5 (1 point)
-7p+15-2q+11q-2p-3
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When simplified, what is the constant in the expression

Question 5 options:

12

-9

9

-7

Question 6 (1 point)

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Which expression is equivalent to 4-2(5-x)

Question 6 options:

-2x-6

2x-6

7-2x

10-2x

Question 7 (1 point)

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Find the value of x in the equation below
5x+4=-11

Question 7 options:

x = -45

x = -3



x = 3

Question 8 (1 point)

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Find the value of r in the equation below

-7=r-15/3

Question 8 options:

r = -36

r = -6

r = 24

r = -66

Question 9 (1 point)
-4x+36=-16
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Find the value of x in the equation below

Question 9 options:

x = 5

x = 13

x = -5

x = -32

Question 10 (1 point)
-13=4(5x-1)-11x
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Which equation is a result of the first step in solving the equation below?

Question 10 options:

Question 11 (1 point)

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Find the value of a in the equation below

7(2a-3)-5a=-3
Question 11 options:

a = 4

a = -4

a = 2

a = 3

Question 12 (1 point)
-4(5h+7)+16h=40
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Find the value of h in the equation below

Question 12 options:

h = -2

h = -17

h = -3

h = 17

Question 13 (1 point)
Saved

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The equation below was solved incorrectly. Describe the error and solve correctly for x.

Question 13 options:

x = 1; They did not correctly distribute the -5 to both terms in (x+1)

x = -1; They did not correctly combine x-5x

x = 1; They did not correctly combine x - 5x

x = -1; They did not correctly distribute the -5 to both terms in (x+1)

Question 14 (1 point)
Saved

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Find the value of a in the equation below

Question 14 options:

a = -28

a = 13

a = -13

a = 28

Question 15 (1 point)
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Find the value of x in the equation below

Question 15 options:

x = -3

x = 20

x = -20

x = 3

Question 16 (1 point)

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Consider the equation

What can you replace the ? with to create an equation with INFINITE SOLUTIONS?

Question 16 options:

-4

4

2

1

Question 17 (1 point)
5(x+6)=5x+?
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Consider the equation

What can you replace the ? with to create an equation with INFINITE SOLUTIONS?

Question 17 options:

30

15

6

25

Question 18 (1 point)
-13+12p-4=6(2p-1)
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Find the value of p in the equation below

Question 18 options:

p = -17

p = 2

No Solution

Infinite Solutions

Question 19 (1 point)

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Ella is selling a dozen cookies for $4. She had to pay $20 for ingredients. How much will she earn if she sells 12 dozen cookies?

Question 19 options:

$48

$28

$68

$288

Question 20 (1 point)

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Ella is selling a dozen cookies for $4. She had to pay $20 for ingredients. How much profit, p, will she make for selling c dozen cookies?

Question 20 options:

c = 4p - 20

c = 4p + 20

p = 4c + 20

p = 4c - 20

Question 21 (1 point)

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Madison rents a kayak on Lake Lanier. The kayak rents for $15 per hour and requires a $25 deposit.

How many hours can she rent the kayak if she can only spend $100?

Question 21 options:

4 hours

3 hours

$1525

5 hours

Question 22 (1 point)

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Lloyd solves the equation 24x+18(x-2)=216. Some of his steps are shown below.

Which property BEST justifies what Lloyd did to get from Step 3 to Step 4?

Question 22 options:

Addition Property of Equality

Subtraction Property of Equality

Distributive Property

Division Property of Equality

Question 23 (1 point)

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Which property best describes how to get from step 3 to step 4 in the work below

Question 23 options:

Distributive Property

Division Property of Equality

Multiplication Property of Equality

Addition Property of Equality

Question 24 (1 point)

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Lloyd solves the equation 24x+18(x-2)=216. Some of his steps are shown below.

Which property should Lloyd use next to solve the equation for x?

Question 24 options:

Addition Property of Equality

Subtraction Property of Equality

Division Property of Equality

Distributive Property

1 answer

Here are the answers to your questions:

Question 1: What does the p represent?

  • Answer: The number of pizzas ordered

Question 2: How many terms are in the expression 12x - y?

  • Answer: 2

Question 3: What is the coefficient of y in the expression 4x - 6y + 12?

  • Answer: -6

Question 4: When 6b - 4a + 4a - 17b + b + 2a - 8 is simplified, what is the coefficient of b?

  • Answer: -10 (6b - 17b + b = -10b)

Question 5: When simplified, what is the constant in the expression -7p + 15 - 2q + 11q - 2p - 3?

  • Answer: 12 (15 - 3 = 12)

Question 6: Which expression is equivalent to 4 - 2(5 - x)?

  • Answer: 10 - 2x

Question 7: Find the value of x in the equation 5x + 4 = -11.

  • Answer: x = -3

Question 8: Find the value of r in the equation -7 = (r - 15) / 3.

  • Answer: r = -6 (Multiply both sides by 3: -21 = r - 15; r = -6)

Question 9: Find the value of x in the equation -4x + 36 = -16.

  • Answer: x = 13

Question 10: Which equation is a result of the first step in solving the equation -13 = 4(5x - 1) - 11x?

  • Answer: This question is unclear without specific answer options, but generally it would be distributing the 4 and combining like terms.

Question 11: Find the value of a in the equation 7(2a - 3) - 5a = -3.

  • Answer: a = 2

Question 12: Find the value of h in the equation -4(5h + 7) + 16h = 40.

  • Answer: h = -3

Question 13: Regarding the error, the answer is:

  • Answer: x = 1; They did not correctly distribute the -5 to both terms in (x + 1)

Question 14: Find the value of a in the equation 7a - 4(2 - a) = -11.

  • Answer: a = 4

Question 15: Find the value of x in the equation 3x + 5 = -16.

  • Answer: x = -7

Question 16: What can you replace the ? with to create an equation with INFINITE SOLUTIONS?

  • Answer: 2 (Both sides of the equation must be the same)

Question 17: What can you replace the ? with to create an equation with INFINITE SOLUTIONS in 5(x + 6) = 5x + ?

  • Answer: 30

Question 18: Find the value of p in the equation -13 + 12p - 4 = 6(2p - 1).

  • Answer: p = 2

Question 19: Ella is selling a dozen cookies for $4. She had to pay $20 for ingredients. How much will she earn if she sells 12 dozen cookies?

  • Answer: $48 (Total income: $48, profit: $48 - $20 = $28)

Question 20: How much profit, p, will she make for selling c dozen cookies?

  • Answer: p = 4c - 20

Question 21: How many hours can she rent the kayak if she can only spend $100?

  • Answer: 5 hours (Total cost = $25 + 15h ≤ $100; 15h ≤ $75; h ≤ 5)

Question 22: Which property BEST justifies what Lloyd did?

  • Answer: Distributive Property

Question 23: Which property best describes how to get from step 3 to step 4 in the work below.

  • Answer: Distributive Property

Question 24: Which property should Lloyd use next to solve the equation for x?

  • Answer: Subtraction Property of Equality

If you need clarification on any specific question or further assistance, feel free to ask!