test prep
7. marcus owes his mother $10. he babysits his little sister and earns $25. then he cleans the garage and earns $32. after he pays his mother, how much money does marcus have?
8. the water in a lake is 4 feet above its usual level. then the level of the lake drops 7 feet. if 0 represents its usual level, which number - line shows the final level of the water in the lake?
a ←——————————————————————————→
- 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9 10 11 12
b ←——————————————————————————→
- 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9 10 11 12
c ←——————————————————————————→
- 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9 10 11 12
d ←——————————————————————————→
- 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9 10 11 12
circle the word that best completes the sentence.
9. donna subtracts a positive number from a greater positive number. the resulting difference will be positive / negative
10. devon subtracts a positive number from a lesser positive number. the resulting difference will be positive / negative
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11. elena draws a scale drawing for a garden. the scale drawing is 3 inches by 6 inches. the garden will be 12 feet by 24 feet. what is the scale of the drawing in inches to feet?
12. raoul makes shell necklaces to sell at a craft fair. the supplies for each necklace cost $3.75. raoul sells the necklaces for $11.25. what is the percent markup for a shell necklace?
13. neveah goes out to dinner at a restaurant. the bill for dinner is $57.25, and neveah gives the server a 20% tip. what is the total cost for dinner?

Question

test prep
7. marcus owes his mother $10. he babysits his little sister and earns $25. then he cleans the garage and earns $32. after he pays his mother, how much money does marcus have?
8. the water in a lake is 4 feet above its usual level. then the level of the lake drops 7 feet. if 0 represents its usual level, which number - line shows the final level of the water in the lake?
a ←——————————————————————————→
 - 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9 10 11 12
b ←——————————————————————————→
 - 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9 10 11 12
c ←——————————————————————————→
 - 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9 10 11 12
d ←——————————————————————————→
 - 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9 10 11 12
circle the word that best completes the sentence.
9. donna subtracts a positive number from a greater positive number. the resulting difference will be positive / negative
10. devon subtracts a positive number from a lesser positive number. the resulting difference will be positive / negative
spiral review
11. elena draws a scale drawing for a garden. the scale drawing is 3 inches by 6 inches. the garden will be 12 feet by 24 feet. what is the scale of the drawing in inches to feet?
12. raoul makes shell necklaces to sell at a craft fair. the supplies for each necklace cost $3.75. raoul sells the necklaces for $11.25. what is the percent markup for a shell necklace?
13. neveah goes out to dinner at a restaurant. the bill for dinner is $57.25, and neveah gives the server a 20% tip. what is the total cost for dinner?

Accepted Answer

### 7.
# Explanation:
## Step1: Calculate total earnings
Marcus earns $25 from babysitting and $32 from cleaning the garage. So the total earnings are $25 + 32=57$.
## Step2: Subtract the debt
He owes his mother $10. So the money he has after paying his mother is $57- 10 = 47$.
# Answer:
$47$

### 8.
# Explanation:
## Step1: Initial water - level representation
The water is 4 feet above its usual level, which can be represented as + 4.
## Step2: Calculate the change
The level drops 7 feet, so we subtract 7 from the initial level. The final level is $4-7=-3$.
On a number - line, we start at 4 and move 7 units to the left, which lands us at - 3.
# Answer:
The number - line that shows the final level at - 3. (Without seeing the actual visual details of the number - lines A, B, C, D, it's assumed the correct one has - 3 marked appropriately)

### 9.
# Brief Explanations:
When we subtract a positive number from a greater positive number, for example, $a - b$ where $a>b$ and $a,b>0$, the result is positive. Let $a = 5$ and $b = 3$, then $5−3 = 2$.
# Answer:
positive

### 10.
# Brief Explanations:
When we subtract a positive number from a lesser positive number, for example, $a - b$ where $a < b$ and $a,b>0$, the result is negative. Let $a = 3$ and $b = 5$, then $3−5=-2$.
# Answer:
negative

### 11.
# Explanation:
## Step1: Set up the ratio for the length
The length of the drawing is 3 inches and the actual length is 12 feet. The ratio of inches to feet for the length is $\frac{3}{12}=\frac{1}{4}$.
## Step2: Set up the ratio for the width
The width of the drawing is 6 inches and the actual width is 24 feet. The ratio of inches to feet for the width is $\frac{6}{24}=\frac{1}{4}$.
# Answer:
1 inch to 4 feet

### 12.
# Explanation:
## Step1: Calculate the markup amount
The cost of each necklace is $3.75 and the selling price is $11.25. The markup amount is $11.25−3.75 = 7.5$.
## Step2: Calculate the percent markup
The percent - markup formula is $	ext{Percent Markup}=\frac{	ext{Markup}}{	ext{Cost}}	imes100\%$. Substituting the values, we get $\frac{7.5}{3.75}	imes100\%=200\%$.
# Answer:
200%

### 13.
# Explanation:
## Step1: Calculate the tip amount
The bill for dinner is $57.25 and the tip is 20% of the bill. The tip amount is $0.20	imes57.25 = 11.45$.
## Step2: Calculate the total cost
The total cost is the sum of the bill and the tip, so $57.25+11.45 = 68.7$.
# Answer:
$68.7$

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QUESTION IMAGE

Question

Explanation:

7.

Step1: Calculate total earnings

Step2: Subtract the debt

Step1: Initial water - level representation

Step2: Calculate the change

Answer:

8.