Answers SY2025-26 - 1205040 MJ Grade 7 Mathematics Sem 1 CRCumulative Exam

Scale Factor Answers

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When Nancy started middle school, she was 60 inches tall. When she started high school, she was 66 inches tall. What was the percent change in her height?

6 percent increase

9 percent increase

10 percent increase

90 percent increase

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Jakob simplified the expression as shown. What was Jakob’s error in subtracting the expressions?

He used the commutative property incorrectly.

He used the distributive property incorrectly.

He used the associative property incorrectly.

He simplified the x coefficients incorrectly.

What is the sale price of a phone that was originally $199 but that has been marked down by 15 percent?

$159.15

$159.20

$169.10

$169.15

Simonne predicted that she would sell 99 picture frames. She actually sold 88 picture frames. What are the values of a and b in the table below? Round to the nearest tenth if necessary.Percent ErrorItemApproximate valueExact valueErrorAbsolute errorRatioPercent errorPicture frames9988 ab

a = StartFraction 11 over 99 EndFraction; b = 11.1 percent

a = StartFraction 11 over 88 EndFraction; b = 12.5 percent

a = StartFraction 88 over 99 EndFraction; b = 88.9 percent

a = StartFraction 11 over 11 EndFraction; b = 100 percent

What is the simplest form of the expression (–11.7y – 3.3x) + 1.2x + (5.2y + x)?

–16.9y – 5.5x

–16.9y – 4.5x

–6.5y – 2.1x

–6.5y – 1.1x

Which pair shows equivalent expressions?

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Mike paid $18.00 before taxes for 5 photo albums. His sister wants to buy two of the same type of album. What amount should she expect to pay before taxes?

$3.60

$7.20

$9.00

$13.00

José was paid an 8 percent commission on the used car that he sold. The used car lot had bought the car from a seller for $8,500 and had marked up the price by 20 percent to the selling price. How much did José earn for the sale?

$136

$680

$816

$2,380

Mrs. Nygaard needs 12 hours to grade all of her students’ projects. She made a chart to show how much time she could spend grading the projects during the week.Project GradingDayHours GradingMondayTuesdayWednesdayThursday2FridayHow many hours will Mrs. Nygaard need to work over the weekend to finish grading the projects?

hours

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

315

378

525

560

Paul drives his delivery van 675 miles in 3 days. At this rate, how far will he drive in 15 days?

45 miles

225 miles

2,025 miles

3,375 miles

Selina and three of her classmates each wrote out the steps for finding an approximate percent change. They all agreed on the first and fourth step: 1. Find the positive difference between the original number and the new number.2. ________________________3. ________________________4. Round the answer if necessary.They did not agree on steps 2 and 3. Which instructions are correct for steps 2 and 3?

2. Divide the difference by the original number.3. Multiply the quotient by 100 to change it from a decimal to a percent.

2. Divide the difference by the new number.3. Multiply the quotient by 100 to change it from a decimal to a percent.

2. Divide the difference by the original number.3. Multiply the quotient by 10 to change it from a decimal to a percent.

2. Divide the difference by the new number.3. Multiply the quotient by 10 to change it from a decimal to a percent.

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?

–90

–78

–66

–12

Kyoko is reading a book by her favorite author. She read the first 20 pages in of an hour. Reading at the same pace, Kyoko wants to determine if she’ll have enough time to finish the book before she has to go to bed.Reading TimeAccording to the graph, which statement must be true?

It will take her 2 hours to read 60 pages.

It will take her 3 hours to read 120 pages.

It will take her 4 hours to read 180 pages.

It will take her 5 hours to read 210 pages.

Which question can be represented by the expression?

Judy is on page y of a 120-page book. How many more pages must she read to finish the book?

Judy plans to read a 120-page book. If she reads y pages per day, how many days will it take her to finish the book?

Judy plans to read a book with y pages. If she reads 120 pages per week, how many weeks will it take her to finish the book?

Judy is on page 120 of a book with y pages. How many more pages must she read in order to finish the book?

Kedwin has $150.00 and wants to buy a new pair of headphones that cost $175.00 plus 10% shipping. He decides to wait until the headphones go on sale. What is the smallest sale rate that he needs to be able to afford them?

10%

20%

25%

30%

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?

y = StartFraction 18 over x EndFraction

y = 18 x

y = StartFraction x over 18 EndFraction

y = x + 18

A bookstore bought a case of 10 books at a wholesale price of $84. The bookstore will sell the books at a 25 percent markup, and each book will be sold for the same amount. How much will they sell each book in the case for?

$8.40

$10.50

$105.00

$105.80

A DVD player was marked down by 30 percent from its original price of $75. Including a 7 percent sales tax, what is the final cost of the DVD player?

$22.50

$24.08

$52.50

$56.18

This graph models the number of teachers assigned to a school, as determined by the number of students. What is the constant of proportionality?Number of Teachers

StartFraction 1 over 25 EndFraction

StartFraction 1 over 20 EndFraction

StartFraction 1 over 15 EndFraction

StartFraction 1 over 10 EndFraction

The sum of three numbers is 180. If the first number is , and the second is which expression represents the third number?

165 minus 3 x

187 minus x

195 minus x

195 minus 3 x

One quart equals 946.35 milliliters. How many milliliters are in 3 pints? Round the answer to the nearest tenth. 1 pint = 2 cups1 quart = 2 pints 1 gallon = 4 quarts

157.7 mL

473.2 mL

1419.5 mL

5678.1 mL

One kilometer equals 0.62 miles. How many kilometers equal 16 miles? Round the answer to the nearest tenth.

2.6 kilometers

9.9 kilometers

25.8 kilometers

99.2 kilometers

Samantha created part of a table to show her savings. She saved at the same rate each week.Samantha’s SavingsWeek1234Money Saved $18$24Which graph shows this relationship?

On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 8), (2, 16), (3, 18), and (4, 24) are plotted.

On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 6), (2, 12), (3, 18), and (4, 24) are plotted.

On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 9), (2, 18), (3, 18), and (4, 24) are plotted.

On a coordinate plane, a graph titled Weekly Savings has weeks on the x-axis and money saved on the y-axis. Points (1, 0), (2, 9), (3, 18), and (4, 24) are plotted.

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

$26.22

$30.72

$32.00

$35.82

What is the simplified value of the expression below?

18.25

21.38

110.25

119.50

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?

$21

$28

$84

$112

A gallon of stain is enough to cover 200 square feet of decking. Bradley has two areas of decking he would like to cover with stain. One rectangular area is 23 feet by 10.4 feet, and the other is 10.5 feet by 7.2 feet. Which expression gives the number of gallons of stain Bradley will need?

Left-bracket (23) (10.5) + (10.4) (7.2) right-bracket divided by 200

Left-bracket (23) (10.4) + (10.5) (7.2) right-bracket divided by 200

Left-bracket (23) (10.5) + (10.4) (7.2) right-bracket times 200

Left-bracket (23) (10.4) + (10.5) (7.2) right-bracket times 200

If the relationship is proportional, what is the missing value from the table?xy–39–5?–721

–18

–15

What is the value of the expression ?

What is the unit rate depicted in the graph?

0.75 laps in one minute

1.25 laps in one minute

3 laps in 4 minutes

4 laps in 3 minutes

Tammy predicted that she would sell 300 bottles of water. She actually sold 350 bottles. What is the percent error in the estimate of the number of bottles sold? Round the answer to the nearest tenth.

–15.4%

–14.3%

14.3%

15.4%

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

$1.40

$35.00

$42.00

$140.00

When 2() is simplified, what is the resulting expression?

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Heston Wagons reported in June that 20 out of 500 wagons failed inspection. In July, they reported that 25 out of 625 wagons failed inspection. Which proportion can be used to represent the wagon failures?

StartFraction 25 over 20 EndFraction = StartFraction 500 over 625 EndFraction

StartFraction 20 over 25 EndFraction = StartFraction 625 over 500 EndFraction

StartFraction 20 over 500 EndFraction = StartFraction 625 over 25 EndFraction

StartFraction 20 over 500 EndFraction = StartFraction 25 over 625 EndFraction

Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures ounces each time he shampoos his dog and the bottle of shampoo originally contained ounces. Which is the correct equation and value of x, the number of times Nico can bathe his dog using this one bottle?

; times

What is the simple interest value missing in the table? Principal$2,500Interest rate3.5%Time5 yearsInterest?

$43.75

$437.50

$4,370.50

$43,750.00

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

discount price = 1 - (original price)(0.88)

discount price = (original price)(1 – 0.12)

discount price = (original price)(0.12)

discount price = 1 – (original price)(0.12)

Lenore borrowed $400 to pay for car repairs. She needs to pay it back in 2 years with simple interest. Lenore wants to figure out the interest rate of her loan. What additional information does she need to find the interest rate?

principal

amount of time

interest she will owe

the type of car repairs

Enrique says is a rational number. Which of the following best describes whether Enrique is correct and why?

Enrique is correct. Repeating decimals are rational numbers because they can be written as fractions. The number is actually equivalent to .

Enrique is not correct. Repeating decimals are never rational numbers.

Enrique is not correct. Some repeating decimals are rational numbers, but this one is not.

What is the value of x in the equation ?

–50

–40

–8

–6

What is the exponential form of the expanded form below?

5 times 10

5 superscript 10

10 superscript 1

10 superscript 5

What is the value of the expression below?

2.5

4.875

11.375

26.4

Duncan shares 20 percent of all of his sales commissions with his personal assistant. If Duncan earns x dollars in commissions and gives his assistant y dollars, which equation correctly models this situation?

x = 0.20 y

y = 0.20 x

x = StartFraction y over 20 EndFraction

y = StartFraction x over 20 EndFraction

The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices.The Wilson family also orders several large pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family, the equation y = 10x represents the relationship, where x represents the number of pizzas and y represents the number of total slices.Which statements best describe the pizzas bought by the Hernandez and Wilson families? Select two options.

For the Hernandez family, the equation y = 3x represents the relationship between the number of slices and number of pizzas, where x represents the number of pizzas and y represents the number of total slices.

For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line.

The Hernandez family’s slices are smaller than the Wilson family’s slices.

If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices.

The constant of proportionality is 10 for the Wilson family, but cannot be determined for the Hernandez family.

Vance ate a salad and of a turkey burger for dinner. The salad contained 80 calories and his entire meal contained 440 calories. Which equation can be used to determine x, the number of calories in the entire turkey burger?

440 = four-fifths x + 80

80 = four-fifths x + 440

440 = four-fifths (80) + x

440 = 80 x + four-fifths

There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?

StartFraction 12 over 1 EndFraction = StartFraction 4 over 12 EndFraction

One-third = StartFraction 12 over 4 EndFraction

StartFraction 3 over 1 EndFraction = StartFraction 4 over 12 EndFraction

StartFraction 3 over 1 EndFraction = StartFraction 12 over 4 EndFraction

What is the value of x in the equation 0.7x – 1.4 = –3.5?

–7

–3

Hanna puts $4,383 in a savings account with an annual interest rate of 5.2 percent for 3 years. Into which variable should she substitute 4,383 in the simple interest formula ?