Question

I acknowledge that I will complete this test independently without any help from another person, AI, or the internet.

I will ONLY USE my own notes, calculator, and Graphic Organizer.

(1 point)
Responses

True
True

False

Answer 1

Antoine goes to the mall to buy new shoes and jerseys. He pays a set rate per pair of shoes and a set rate per jersey, and he pays more per jersey than he pays per pair of shoes. His total spending can be modeled by the equation 35x+55y
. (1 point)
Antoine spends $
per pair of shoes.

Answer 2

Consider the expression: (16−12)2+5(8+22)53−(1+4)2
(1 point)
What is the simplified numerator?

Answer 3

Use the Commutative Property of Multiplication to rewrite the algebraic expression: f17⋅h33

(2 points)
⋅

Question 2
Which expression correctly demonstrates the Commutative Property of Addition?(1 point)
Responses

15⋅x⋅4=4+15+x
15⋅x⋅4=4+15+x

x+4+15=15+4+x
x plus 4 plus 15 is equal to 15 plus 4 plus x

15(x+4)=15(x⋅4)
15 times open paren x plus 4 close paren is equal to 15 times open paren x times 4 close paren

15⋅x⋅4=4⋅15⋅x

Answer 4

It seems like you are providing a statement regarding academic honesty and integrity related to a test. If you are asking whether the statement is true or false, the statements you provided both indicate an acknowledgment of independent work during the test.

The appropriate response would typically be:

**True** - If you are indeed committing to completing the test independently as stated.

If you need clarification or guidance on a specific part, feel free to ask!

Answer 5

In the equation \(35x + 55y\), where:

- \(x\) represents the number of pairs of shoes,
- \(y\) represents the number of jerseys,
- \(35\) is the cost per pair of shoes,
- \(55\) is the cost per jersey.

Antoine spends **$35** per pair of shoes.

Answer 6

To simplify the expression \((16−12)^2 + 5(8+22)53−(1+4)^2\), we'll break it down step by step.

1. **Calculate \(16 - 12\):**
\[
16 - 12 = 4
\]

2. **Now square it:**
\[
(4)^2 = 16
\]

3. **Calculate \(8 + 22\):**
\[
8 + 22 = 30
\]

4. **Multiply by \(5\) and \(53\):**
\[
5(30)53 = 150 \times 53
\]

First calculate \(150 \times 53\):
\[
150 \times 53 = 7950
\]

5. **Now calculate \(1 + 4\):**
\[
1 + 4 = 5
\]

6. **Now square it:**
\[
(5)^2 = 25
\]

7. **Putting it all together for the numerator:**
The numerator is:
\[
16 + 7950 - 25
\]

8. **Calculate:**
\[
16 + 7950 = 7966
\]
\[
7966 - 25 = 7941
\]

Therefore, the simplified numerator is **7941**.

Answer 7

### Question 1
Using the Commutative Property of Multiplication, we can rewrite the expression \( f^{17} \cdot h^{33} \) as:
\[
h^{33} \cdot f^{17}
\]

This property states that the order in which two numbers are multiplied does not affect the product.

### Question 2
The expression that correctly demonstrates the **Commutative Property of Addition** is:
\[
x + 4 + 15 = 15 + 4 + x
\]

This shows that the sum remains the same regardless of the order of the addends.

### Summary of Answers
1. Rewriting: \( h^{33} \cdot f^{17} \)
2. Commutative Property of Addition: \( x + 4 + 15 = 15 + 4 + x \)