This page shows questions in the Math 7 Year 1 public release module at MSDE. 7th Grade Math
"Math 7 Year 1"
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This is a multiple choice question that allows you to select only one option.
Which expression is equivalent to one sixth minus three eighths plus one half?
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This is a multiple choice question that allows you to select several options.
A company uses x amount of plastic to make bags. The company decreases this amount by 40%.
Which expressions represent the amount of plastic used after this decrease?
Select each correct answer.
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This is a multiple choice question that allows you to select only one option.
The temperature at sunrise was negative two degrees Fahrenheit. The temperature at sunset was eighteen degrees Fahrenheit warmer than it was at sunrise. What was the temperature at sunset?
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This is a multiple choice question that allows you to select only one option.
Solve each equation.First equation, one half open parenthesis x minus three fourths close parenthesis equals five twelfths. Second equation, three fourths y minus three halves equals five halves.
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This is a multiple choice question that allows you to select only one option.
Javier will ask a survey question to determine the average number of times per month people around the United States shop for groceries.
Which sample should Javier use to get results that are the most representative of the total population?
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This is a test question that allows you to enter extended text in your response.
Teams A and B are playing a game in a gym by tossing beanbags. Tape is placed on the gym floor to mark off the areas in which the teams can score points, as shown in the diagram.
Rectangle A represents the area in which Team A can score points. Rectangle B represents the area in which Team B can score points. The place where both rectanges overlap is the area in which both teams can score points.
- The area of Rectangle A is 10.5 square meters.
- The area of Rectangle B is 8.4 square meters.
- The area of the overlap of Rectangles A and B is fraction with numerator of 3 and denominator of 25 the area of Rectangle A.
What is the total area, in square meters, of the gym floor that is marked off by tape? Show all your work.
Enter your answer and your work in the space provided.
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This is a question with 4 parts, including a multiple choice question that allows you to select only one option, and, a fill in the blank question that allows you to enter only numbers.
Part A
An appliance store sells an oven for 25% off the original price. The sale price is $251.85, not including tax.
What is the price of the oven, not including tax, before the discount is applied?
Part B
One day, the appliance store offers a $50 discount on all purchases over $300. The store also has a sale with 15% off the price of all refrigerators. The 15% discount is applied after the $50 discount.
What is the price, in dollars, of a $435 refrigerator after both discounts?
Enter your answer in the box.
$
Part C
At this appliance store, the monthly sales were $52,900 in May and $78,300 in June. What is the percent increase in the sales from May to June, rounded to the nearest whole number?
Enter your answer in the box.
%
Part D
Jordan is a salesperson at the store. Jordan has a base monthly salary of $1,450 and also earns a commission of 5% on his monthly sales. Jordan would like to earn a monthly salary of $1,800 in July.
What amount of sales, in dollars, does Jordan need in order to reach the desired goal in July?
Enter your answer in the box.
$
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This is a test question that allows you to enter extended text in your response.
The graph shows the distance a car is driven for each gallon of gas used.
- Does the graph represent a proportional relationship? Explain your answer.
- How many miles can be drive using 5.5 gallons of gas?
- Use the graph to explain how you found the number of miles that can be driven using 5.5 gallons of gas.
Enter your explanations and your answers in the space provided.
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This is a question with 2 parts, including a fill in the blank question that allows you to enter only numbers.
Part A
A garden is in the shape of a circle with a radius of 10 feet. Edging is placed around the garden.
How much edging, in feet, is needed to go around the garden? Round to the nearest whole number.
Enter your answer in the box.
Part B
Another garden is in the shape of a semicircle with a radius of 25 feet. Edging is placed around this garden.
How much edging, in feet, is needed to go around this garden? Round to the nearest whole number.
Enter your answer in the box.
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This is a question with 2 parts, including a fill in the blank question that allows you to enter only numbers, and, a multiple choice question that allows you to select only one option.
Ethan surveyed 120 registered voters at random out of a total of 12,600 registered voters in his town. He asked them who they planned to vote for in the upcoming election.
Part A
Ethan's first survey was conducted on Sunday. The results are shown in this table.
| Number of Expected Votes | |
| Ms. Gibson | Ms. Reynolds |
|---|---|
| 45 | 75 |
Based on the results of Ethan's first survey, what is the total number of registered voters expected to vote for Ms. Gibson in the upcoming election?
Enter your answer in the box.
Part B
Ethan surveyed a different random sample of 120 registered voters in his town each day for the rest of the week. The results of his survey for the week, including Sunday, are shown in this table.
| Number of Expected Votes | ||
| Day | Ms. Gibson | Ms. Reynolds |
|---|---|---|
| Sunday | 45 | 75 |
| Monday | 43 | 77 |
| Tuesday | 48 | 72 |
| Wednesday | 44 | 76 |
| Thursday | 48 | 72 |
| Friday | 45 | 75 |
| Saturday | 43 | 77 |
Based on the results of the survey each day, what is the best prediction for how many more votes Ms. Reynolds is expected to receive than Ms. Gibson is in the upcoming election?
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This is a question with 2 parts, including a fill in the blank question that allows you to enter only numbers.
A small animal can eat an amount of food that is equivalent to two fifths its body weight in one-half hour.
At this rate, what fraction of its body weight in food can the animal eat in 1 hour?
Enter your answer as a fraction in the space provided.
fraction bar
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This is a question with 2 parts, including a fill in the blank question that allows you to enter only numbers.
This is a scale drawing of a flag.
The scale factor of the drawing to the actual flag is represented by the ratio 1:18.
Part A
What is the area, in square inches, of the actual flag?
Enter your answer in the box.
Part B
A letter "L" with a height of 9 inches is drawn on the actual flag.
What should be the height, in inches, of the letter "L" on the scale drawing?
Enter your answer in the box.
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This is a question with 2 parts, including a test question that allows you to enter extended text in your response.
Part A
The total yearly cost to rent a trumpet is $114. The monthly cost is constant with no initial fee.
A person rents a trumpet for 3 years and 5 months.
- What is the total cost, in dollars, for the person to rent the trumpet?
- Show your work or explain your answer.
- Write an equation that represents the relationship between m, the number of months a trumpet is rented, and t, the total cost to rent the trumpet.
- Explain your equation.
Enter your anwswer and your work or explanation in the space provided.
Part B
Another person pays $90.87 each month toward the purchase of a saxophone. After 5 months, the person has paid 65% of the total cost of the saxophone.
- What is the total cost, in dollars, of the saxophone?
- Show your work or explain your answer.
Enter your answer and your work or explanation in the space provided.
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This is a multiple choice question that allows you to select several options.
Which ordered pairs are in a proportional relationship with ordered pair zero point two, zero point 3?
Select each correct answer.
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This is a question with 2 parts, including a test question that allows you to enter extended text in your response.
Part A
Consider the graph shown.
Find the constant of proportionality of the graph.
Show your work or explain your answer.
Enter your answer and your work or explanation in the space provided.
Part B
The original graph is changed by moving the graph up 40 units, as shown.
A student uses the point ordered pair 4, 280 to write the equation y equals 70 x. The student claims that this equation represents the relationship shown in the new graph because 280 divided by 4 is 70.
- Explain the error in the student's reasoning.
- Use a different point from the graph to explain why the student's equation does not represent the relationship shown in the new graph.
Enter your explanations in the space provided.
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