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WorksheetsBlue Packet Homework Questions Check #1-75
Total questions: 70
Worksheet time: 4hrs 14mins
Represent the sum of -5 and 3 on a number line.
-2
2
-8
8
Show -7 - (-2) on a vertical number line.
-5
5
-9
9
Find the result of -4 + (-6) using a number line.
-10
-2
2
10
What is (-4) × (5)?
-20
20
-9
9
Calculate: (-20) ÷ (-4). Rule: Negative ÷ Negative =
5
-5
4
-4
Find the result of 3/4 × (-8).
-6
-5
-7
-10
A hiker descends 300 feet, then climbs up 150 feet. What is the overall change?
150 feet descent
150 feet ascent
300 feet descent
450 feet ascent
A bank account has a balance of - 50.Adepositof 75 is made. What is the new balance?
25
−25
50
−50
The temperature was -12°F in the morning and increased by 20°F in the afternoon. What is the final temperature?
8°F
-8°F
12°F
-2°F
A submarine descends at 2.5 meters/sec. How far does it descend in 4 seconds?
5 meters
8 meters
-10 meters
12 meters
If a stock drops 3.2 points per day, how many points in 5 days?
-16 points
15 points
12 points
10 points
Convert 5/8 to decimal form using long division.
0.625
0.75
0.5
0.8
Convert 7/9 to decimal form.
0.777
0.778
0.779
0.776
14. A car travels 3/4 miles in 1/2 hour. What is the unit rate (miles per hour)?
1.5 miles per hour
1 mile per hour
1.25 miles per hour
15. A recipe uses 2/3 cup of sugar for 1/4 batch of cookies. How much sugar per full batch? Answer must be a mixed fraction
2 2/3 cups
2 cups
8/3 cups
1 1/3 cups
A machine produces 5/6 of a part in 1/3 of a minute. What is the rate per minute?
1.5 parts per minute
1.2 parts per minute
1.8 parts per minute
2 parts per minute
Determine if the following data set represents a proportional relationship: (2,4), (3,6), (4,8), (5,10).
Yes, it represents a proportional relationship.
No, it does not represent a proportional relationship.
The table below shows the number of hours worked and the total earnings. Does this data represent a proportional relationship?
Yes, it represents a proportional relationship.
No, it does not represent a proportional relationship.
The equation y = 3x represents a proportional relationship. What is the constant of proportionality?
1
2
3
4
A car travels at a constant speed. Identify the constant of proportionality.
60
50
70
80
A recipe calls for 5 cups of flour for 2 batches. What is the constant of proportionality?
2.5 cups per batch
5 cups per batch
10 cups per batch
0.4 cups per batch
If 5 apples cost $3, how much will 12 apples cost?
$7.20
$6.00
$8.00
$7.00
A map scale shows 1 inch = 5 miles. How many miles do 8 inches represent?
40 miles
35 miles
45 miles
50 miles
A recipe requires 4 eggs for 3 cakes. How many eggs are needed for 9 cakes?
8 eggs
12 eggs
16 eggs
18 eggs
A jacket originally costs $80 and is on sale for 25% off. What is the sale price?
$60
$65
$70
$75
A $50 bill at a restaurant includes a 20% tip. What is the total cost?
$50
$60
$70
$80
A population of 1,200 increases by 15%. What is the new population?
1,320
1,380
1,400
1,500
Simplify: 3(2x + 5) - 4x.
2x + 15
2x + 5
6x + 15
6x + 5
Factor: 6x + 9.
3(2x + 3)
2(3x + 4)
6(x + 1.5)
(6x + 9)
Evaluate 2x² - 3x + 4 when x = 3.
19
13
21
22
Solve for x in the equation: 3x - 5 = 16.
x = 7
x = 5
x = 3
x = 11
Target 14: Construct and Solve Two-Step Equations for Real-World Problems. Jenna bought 3 shirts and spent $45 total. Each shirt cost the same amount. What is the cost per shirt?
$10
$15
$20
$25
Target 14: Construct and Solve Two-Step Equations for Real-World Problems. A rental company charges a 10feeplus 3 per hour. If someone pays $25 total, how many hours were rented?
5 hours
3 hours
7 hours
4 hours
Target 14: Construct and Solve Two-Step Equations for Real-World Problems. A phone plan costs 30 permonth plus a 50 activation fee. How much for 6 months?
$230
$180
$200
$250
Graph the solution to 2x + 3 > 7.
x > 2
x < 2
x > -2
x < -2
Max earns $12 per hour and needs at least $150. Write and solve an inequality to find the minimum hours he needs to work.
10 hours
12.5 hours
15 hours
13 hours
A car rental costs $50 plus $0.20 per mile. If you have $100, how many miles can you drive?
50 miles
250 miles
300 miles
150 miles
A survey of 50 students shows 30 like pizza. Predict how many of 500 students like pizza.
250 students
300 students
350 students
400 students
If 40% of a sample of 200 voters support a candidate, estimate the number in a town of 5,000.
1,000 voters
2,000 voters
1,500 voters
2,500 voters
A store surveys 80 customers and finds 60 prefer brand A. Predict the preference in 1,000 customers.
600 customers
750 customers
800 customers
700 customers
The test scores of two classes are: Class A - {78, 85, 90, 92, 88}, Class B - {70, 82, 95, 88, 85}. Compare the mean scores. Which one has a greater mean?
Class A
Class B
Both have the same mean
Cannot be determined
Two basketball teams have the following scores over five games: Team X - {55, 60, 58, 62, 59}, Team Y - {50, 75, 65, 55, 50}. Which team has greater M.A.D.?
Team X
Team Y
Both have the same M.A.D.
Cannot be determined
A bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. What is the probability of drawing a red or a blue marble?
0.3
0.5
0.7
0.2
A spinner has 8 sections: 3 red, 2 blue, and 3 green. What is the probability of landing on red or green?
0.25
0.5
0.75
0.6
If you flip a coin 50 times and record the results, estimate the probability of getting heads.
0.25
0.5
0.75
1.0
A die is rolled 100 times, and 25 times a 6 is rolled. Estimate the probability of rolling a 6.
0.1
0.25
0.5
0.75
A map has a scale of 1 inch = 100 miles. If two cities are 3 inches apart on the map, how far apart are they in reality?
100 miles
200 miles
300 miles
400 miles
A blueprint of a house shows the length of the living room as 4 inches. If the scale is 1 inch = 2 feet, how long is the living room in real life?
4 feet
6 feet
8 feet
10 feet
A scale model of a car is made with a scale of 1:10. If the model car is 8 inches long, how long is the actual car?
80 inches
60 inches
40 inches
20 inches
The circumference of a circle is 31.4 cm. What is the approximate value of π if the diameter is 10 cm?
2.14
3.14
4.14
5.14
A circular track has a diameter of 20 meters. Estimate the circumference using π = 3.14.
31.4 meters
62.8 meters
94.2 meters
125.6 meters
A circle has a circumference of 18.84 meters and a diameter of 6 meters. Approximate π.
2.14
3.14
4.14
5.14
Find the circumference of a circle with a radius of 7 inches.
21.98 inches
43.96 inches
65.94 inches
87.92 inches
What is the circumference of a circle with a diameter of 15 cm?
31.4 cm
47.1 cm
62.8 cm
78.5 cm
A wheel has a radius of 10 meters. What is the distance it covers in one full rotation?
31.4 meters
62.8 meters
94.2 meters
125.6 meters
Find the area of a circle with a radius of 5 cm.
25π cm²
10π cm²
78.5 cm²
15.7 cm²
What is the area of a circle with a diameter of 12 meters?
36π m²
144π m²
113.1 m²
452.4 m²
A circular garden has a radius of 8 feet. What is its area?
64π ft²
201.1 ft²
50.3 ft²
16π ft²
Jenna earns $5 per hour. If she wants to make at least $30, how many hours must she work?
5 hours
6 hours
7 hours
8 hours
A gym charges $25 per month plus $3 per class. If Carlos can spend no more than $55, how many classes can he attend?
5 classes
6 classes
7 classes
8 classes
Find the mean and range: 3, 6, 6, 9, 10
Mean: 6.8, Range: 7
Mean: 6.5, Range: 6
Mean: 7, Range: 8
Mean: 6, Range: 5
Compare these sets: A: 5, 7, 7, 8, 10; B: 2, 4, 7, 10, 13. Which has greater M.A.D.?
Set A
Set B
Both have the same M.A.D.
Cannot be determined
What’s the probability of rolling a 2 on a six-sided die?
1/6
1/3
1/2
1/4
A spinner has 5 equal sections labeled A–E. What’s the probability of not landing on A?
1/5
4/5
3/5
2/5
Create a model for flipping a coin. What’s the chance of getting heads?
50%
25%
75%
100%
A bag has 4 blue, 3 red, and 3 green marbles. What’s the probability of drawing a red marble?
1/3
1/4
3/10
1/2
Flip two coins. What’s the probability both land heads?
1/4
1/2
1/3
1/8
Roll a die and spin a 4-section spinner. What’s the probability of rolling a 4 and landing on C?
1/6
1/4
1/24
1/12
A triangle has sides 3 cm, 4 cm, 5 cm. It is enlarged by a scale factor of 2. What are the new side lengths?
6 cm, 8 cm, 10 cm
5 cm, 7 cm, 9 cm
8 cm, 10 cm, 12 cm
9 cm, 12 cm, 15 cm
A rectangle is 6 cm wide and 8 cm tall. In the scale drawing, the width is 15 cm. What was the scale factor, and what is the new height?
Scale factor: 2.5, New height: 20 cm
Scale factor: 2, New height: 16 cm
Scale factor: 2.5, New height: 25 cm
Scale factor: 3, New height: 24 cm
