Amari went to the mall and spent 47

Question

. He bought one shirt for 26
and he bought 3 pairs of socks. Each pair of socks cost the same amount of money.

PART A

Write an equation that can be used to find the cost of each pair of socks. Use
x to represent the cost of each pair of socks.

Type your equation:

Answer 1

To find the cost of each pair of socks, we can set up the following equation based on the information given:

Amari spent a total of $47. He bought one shirt for $26 and three pairs of socks for an unknown cost \( x \) per pair.

The total cost can be represented by the equation:

\[ 26 + 3x = 47 \]

Here, \( x \) represents the cost of each pair of socks.

Answer 2

How much does each pair of socks cost?

The cost of a pair of socks is

Answer 3

To find the cost of each pair of socks, we can solve the equation we set up previously:

\[ 26 + 3x = 47 \]

First, subtract 26 from both sides:

\[ 3x = 47 - 26 \]

\[ 3x = 21 \]

Next, divide both sides by 3:

\[ x = \frac{21}{3} \]

\[ x = 7 \]

The cost of each pair of socks is $7.

Answer 4

The top of a table has dimensions 2 ft
by (x + 3) ft
and has an area of 8 ft^2
.

Which of the following equations can be used to find the value of x
for this situation?

Responses
A
2 x plus 3 is equal to 8
B
2 times open paren x plus 3 close paren is equal to 8
C
2 x plus 5 is equal to 8
D

Answer 5

To find the value of \( x \) based on the given dimensions of the table and its area, we can use the formula for the area of a rectangle, which is:

\[ \text{Area} = \text{length} \times \text{width} \]

In this case, the length is 2 ft, and the width is \( (x + 3) \) ft. The area of the table is given as 8 ft². Therefore, we can set up the equation:

\[ 2 \times (x + 3) = 8 \]

This corresponds to option B:

B
\( 2 \times (x + 3) = 8 \)

Thus, the correct equation to use is option B.

Answer 6

Solve the equation for x
.

Responses
A
0 point 5
B
2 point 5
C
1
D

Answer 7

To solve the equation \( 2(x + 3) = 8 \) for \( x \), follow these steps:

1. Distribute the 2: \[ 2x + 6 = 8 \]

2. Subtract 6 from both sides: \[ 2x = 8 - 6 \] \[ 2x = 2 \]

3. Divide by 2: \[ x = \frac{2}{2} \] \[ x = 1 \]

The value of \( x \) is 1, which corresponds to option C.

Answer 8

Casey earned $220 selling baked goods. Her expenses were $2.50 per baked good.

Which equation can be used to find b, the number of baked goods Casey would have to sell in order to make a profit of exactly $100?
Responses
A 220 + 2.50b = 100220 + 2.50 b = 100
B 220 – 2.50b = 100220 – 2.50 b = 100
C 220b – 2.50 = 100220 b – 2.50 = 100
D 220b + 2.50 = 100220 b + 2.50 = 100

Answer 9

To find the number of baked goods \( b \) that Casey would have to sell in order to make a profit of exactly $100, we can start by establishing the relationship between her earnings, expenses, and profit.

Casey's earnings from selling baked goods is $220, and her expenses for selling \( b \) baked goods (at $2.50 each) would be \( 2.50b \).

To calculate her profit, we can use the following formula:

\[ \text{Profit} = \text{Earnings} - \text{Expenses} \]

In this case, we want the profit to be exactly $100:

\[ 100 = 220 - 2.50b \]

Rearranging this gives us:

\[ 220 - 2.50b = 100 \]

Thus, the equation that can be used to find \( b \) is:

B
\( 220 - 2.50b = 100 \)

This is the correct equation for the situation.

Answer 10

Mrs. Stevenson bought 200 pencils for her classroom. Each day, she handed out 5 pencils to her most behaved students.

Which equation can be used to find d, the number of days it will take Mrs. Stevenson to give away all her pencils?
Responses
A 200 + 5d = 0 200 + 5 d = 0
B 200 – 5d = 0 200 – 5 d = 0
C 200 + 5d = 200200 + 5 d = 200
D 200d - 5 = 0

Answer 11

To find the number of days \( d \) it will take Mrs. Stevenson to give away all her pencils, we can set up the relationship between the total number of pencils she starts with, the number she hands out each day, and the total number of pencils given away.

Mrs. Stevenson starts with 200 pencils and hands out 5 pencils each day. We want to find the number of days until she has given away all 200 pencils, which can be represented by the equation:

\[ 200 - 5d = 0 \]

This expression represents that, starting with 200 pencils, after giving away \( 5d \) pencils (5 pencils for each day \( d \)), she will reach zero pencils.

Therefore, the correct equation that can be used to find \( d \) is:

B
\( 200 - 5d = 0 \)

This is the correct choice.