Cumulative Exam — Cumulative exam Answers

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Julio predicted that the average high temperature for January would be . The actual average high temperature was 4 degrees higher than Julio’s prediction. Which describes the actual average high temperature for January?

Question illustration
A
–11°C
B
–3°C
C
3°C
D
11°C
3

A clothing shop is offering a 12 percent discount for senior citizens. Which equation represents the discount price?

A
discount price = 1 - (original price)(0.88)
B
discount price = (original price)(1 – 0.12)
C
discount price = (original price)(0.12)
D
discount price = 1 – (original price)(0.12)
4

The hexagon below has been reduced by a scale factor of . What is the area of the reduced hexagon?

Question illustration
A
8 inches squared
Option A
B
12 inches squared
Option B
C
24 inches squared
Option C
D
36 inches squared
Option D
5

All the items on the sale rack were 75 percent off their original price. PercentsTotal75%25%100%25%25%25%25% x If Jill bought an item on the sale rack and saved a total of $84, what is the value of x in the table above?

A
$21
B
$28
C
$84
D
$112
6

The price of a gallon of gasoline dropped by $0.08 on Wednesday and by a quarter (0.25) of that amount on Thursday. Which best represents how the price of a gallon of gasoline changed on Thursday?

A
–0.32
B
–0.02
C
0.02
D
0.32
7

A car travels 18 miles per gallon of gas used. Which equation best represents the proportional relationship between the y miles that the car has traveled and the x gallons of gasoline that it has used?

A
y = StartFraction 18 over x EndFraction
Option A
B
y = 18 x
Option B
C
y = StartFraction x over 18 EndFraction
Option C
D
y = x + 18
Option D
8

Giovanna used the calculations below to determine the height of a stack of 7 books that are each inches thick. What was her error?

Question illustration
A
The fraction was not simplified in the last step.
B
Seven was not multiplied by .
Option B
C
There should be a subtraction step, not an addition step.
D
Two should have been multiplied by .
Option D
9

What is the value of the expression below?

Question illustration
A
2.5
B
4.875
C
11.375
D
26.4
10

What is the quotient?

Question illustration
A
Negative 5 and StartFraction 7 over 9 EndFraction
Option A
B
Negative 5 and two-thirds
Option B
C
3 and one-fourth
Option C
D
5 and StartFraction 7 over 9 EndFraction
Option D
11

Talia gave her hairdresser a 20 percent tip, which amounted to $7. PercentsTotal 100% What was the price of the service before the tip?

A
$1.40
B
$35.00
C
$42.00
D
$140.00
12

The pentagon below has been reduced by a scale of 0.5. What is the area of the reduced pentagon?

Question illustration
A
30 in.²
B
60 in.²
C
90 in.²
D
120 in.²
13

Forty percent of the sheets of construction paper are secondary colors. There are 25 sheets of construction paper. How many of those sheets are secondary colors?Secondary-Color Construction Paper10%10%10%10%10%10%10%10%10%10%

A
8
B
10
C
12
D
15
14

Marge orders the following items and would like to leave a 20 percent tip based on her bill. There is no tax on her meal. What is the total cost of her dinner including gratuity?Item AmountSoup$3.75Shrimp scampi$15.00 Iced tea$2.60Dessert$4.25

A
$26.22
B
$30.72
C
$32.00
D
$35.82
15

Nancy spent $44.59 on 5.25 quarts of olive oil. What is the cost of one quart of olive oil? Round to the nearest cent.

A
$8.38 per quart
B
$8.49 per quart
C
$8.57 per quart
D
$8.92 per quart
16

Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There were 500 raffle tickets sold. What is the theoretical probability of Bryson winning the trip?

A
StartFraction 2 over 25 EndFraction
Option A
B
One-fifth
Option B
C
Four-fifths
Option C
D
StartFraction 500 over 40 EndFraction
Option D
17

Use the diagram to solve. What is 135% of 280?PercentTotal100%5%5%5%5%5%5%5%135%

A
315
B
378
C
525
D
560
18

Isaiah has $20 to spend on bowling. He has four bowling alleys to choose from, and the price each charges for a game is shown in the table.Prices at Four Bowling AlleysBowling AlleyPrice per GameA$4.25B$5.25C$3.75D$3.50Which can he afford?

A
4 games at bowling alley B
B
5 games at bowling alley C
C
5 games at bowling alley A
D
6 games at bowling alley D
19

Yuuma applied the steps below to find the product of (–10.2)(–16.4).Step 1: (–10.2)(–16.4) = (–16.4)(–10.2)Step 2: = (–16.4)(–10) + (–16.4)(–0.2)Step 3: = ____________Step 4: = 167.28Which expression correctly fills in the blank in Step 3?

A
(–164) + (–3.28)
B
164 – 3.28
C
(–164) + 3.28
D
164 + 3.28
20

After surveying students in her homeroom, Katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. In Katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes.According to Katie’s model, what is the probability that three randomly chosen students will all stay after school for extracurricular activities today?

A
StartFraction 1 over 729 EndFraction
Option A
B
StartFraction 1 over 216 EndFraction
Option B
C
StartFraction 1 over 18 EndFraction
Option C
D
StartFraction 1 over 6 EndFraction
Option D

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