West Virginia General Summative Assessment Mathematics — Grade 7

A runner covers 3/4 of a mile in 1/10 of an hour. What is the runner's average speed in miles per hour?

• A4.5 miles per hour
• B6.5 miles per hour
• C7.5 miles per hour
• D10 miles per hour

A grocery store sells a 16-ounce box of cereal for $4.32. What is the unit rate in dollars per ounce?

• A$0.24 per ounce
• B$0.27 per ounce
• C$0.30 per ounce
• D$3.70 per ounce

A recipe requires 3 cups of flour for every 2 cups of sugar. If Maya uses 12 cups of flour, how many cups of sugar does she need to maintain the same ratio?

• A6 cups
• B8 cups
• C9 cups
• D18 cups

The table below shows the cost c for n notebooks: (2 notebooks, $5.00), (4 notebooks, $10.00), (6 notebooks, $15.00). What is the constant of proportionality k in dollars per notebook?

• A$0.40
• B$2.00
• C$2.50
• D$5.00

A jacket originally priced at $60.00 is on sale for 25% off. What is the sale price of the jacket before tax?

• A$15.00
• B$40.00
• C$45.00
• D$50.00

A meal at a restaurant costs $32.00. If Noah leaves a 15% tip on the cost of the meal, how much tip does he leave?

• A$3.20
• B$4.80
• C$5.20
• D$36.80

A line on a coordinate plane passes through (0, 0) and (4, 18), representing the total cost y in dollars for x pounds of apples. Which equation represents this proportional relationship?

• Ay = 4.5x
• By = 4x
• Cy = 14x
• Dy = x + 14

A hose fills 2/5 of a water container in 1/3 of a minute. At this constant rate, how many full containers can the hose fill in 1 minute?

• A2/15 container
• B5/6 container
• C1 1/5 containers
• D1 1/2 containers

A painter mixes blue and white paint in a constant ratio to make sky blue paint. 3 gallons of blue require 5 gallons of white. Which pair of values (b, w) represents the same proportional relationship of blue paint b to white paint w?

• A(6, 8)
• B(9, 15)
• C(12, 18)
• D(15, 20)

Last year, a local library had 400 members. This year, the number of members increased to 470. What is the percent increase in membership?

• A14.9%
• B17.5%
• C70%
• D85%

An engineer estimates that a piece of metal is 25.0 cm long. Upon exact measurement, its actual length is 24.0 cm. What is the percent error of the engineer's estimate, rounded to the nearest tenth of a percent?

• A4.0%
• B4.2%
• C5.0%
• D96.0%

Elijah deposits $800 into a savings account that earns 3.5% simple annual interest. How much total interest will Elijah earn after 4 years?

• A$28.00
• B$112.00
• C$280.00
• D$912.00

Sophia buys a bicycle for $180.00. The sales tax rate is 6.5%. What is the total cost of the bicycle including sales tax?

• A$11.70
• B$168.30
• C$191.70
• D$210.00

A furniture store purchases a sofa from a wholesaler for $350.00 and marks up the price by 40%. What is the retail price of the sofa?

• A$140.00
• B$210.00
• C$490.00
• D$510.00

Marcus works as a car salesman and earns a base salary of $1,500 per month plus a 4% commission on total sales. If Marcus sells $45,000 worth of cars in one month, what is his total earnings for that month?

• A$1,800
• B$3,300
• C$4,500
• D$19,500

The graph of a proportional relationship passes through the point (5, 12.5). What is the equation of the line, and what does the point (1, 2.5) represent?

• Ay = 2.5x; 1 unit costs $2.50
• By = 0.4x; 1 unit costs $0.40
• Cy = 5x; 1 unit costs $5.00
• Dy = 12.5x; 1 unit costs $12.50

Car A travels 135 miles on 4.5 gallons of gasoline. Car B travels 168 miles on 6 gallons of gasoline. Which car gets better gas mileage, and by how many miles per gallon?

• ACar A, by 2 miles per gallon
• BCar B, by 2 miles per gallon
• CCar A, by 4 miles per gallon
• DCar B, by 4 miles per gallon

A store offers a 20% discount on a pair of shoes originally priced at $85.00. If the customer also has a coupon for an additional 10% off the discounted price, what is the final price of the shoes before tax?

• A$59.50
• B$61.20
• C$68.00
• D$76.50

A machine produces 140 parts in 3.5 hours. At this constant rate, how many parts can the machine produce in an 8-hour workday?

• A280 parts
• B320 parts
• C350 parts
• D400 parts

A stock price dropped from $45.00 to $36.00 in one week. What was the percent decrease in the stock price?

• A20%
• B25%
• C80%
• D125%

A wholesale distributor sells a television to a retail store at a 30% markup above the wholesale cost. The retail store then marks up the price by another 25% before selling it to a customer. If the customer pays $650.00 for the television, what was the original wholesale cost?

• A$375.00
• B$400.00
• C$422.50
• D$450.00

David invests $1,200 into Account A earning 4% simple annual interest for 5 years. Maria invests $1,000 into Account B earning 6% simple annual interest for 4 years. Who earns more interest, and by how much?

• ADavid earns $240, which is $0 more (they earn equal interest)
• BDavid earns $40 more interest than Maria
• CMaria earns $40 more interest than David
• DDavid earns $60 more interest than Maria

Tap A fills a 60-gallon tank in 12 minutes. Tap B fills the same tank in 20 minutes. If both taps are turned on together at the same time, how long will it take to fill the empty 60-gallon tank?

• A7.5 minutes
• B8 minutes
• C16 minutes
• D32 minutes

A scale consistently reads weights 5% higher than the actual weight. A student weighs a package and the scale displays 12.6 pounds. What is the actual weight of the package, and what is the absolute error?

• AActual: 12.0 lbs; Error: 0.6 lbs
• BActual: 11.97 lbs; Error: 0.63 lbs
• CActual: 13.23 lbs; Error: 0.63 lbs
• DActual: 12.1 lbs; Error: 0.5 lbs

On a map, 2.5 inches represents an actual distance of 40 miles. On a secondary map, the scale is 1.5 inches to 30 miles. A highway measures 6 inches on the first map. How many inches will the same highway measure on the secondary map?

• A4.8 inches
• B4.5 inches
• C5.0 inches
• D7.2 inches

What is the value of -14 + 23?

• A-37
• B-9
• C9
• D37

What is the value of -8 - (-15)?

• A-23
• B-7
• C7
• D23

What is the product of -6 × (-9)?

• A-54
• B-15
• C15
• D54

What is -72 ÷ 8?

• A-9
• B-8
• C8
• D9

Which decimal is equivalent to the fraction 3/8?

• A0.375
• B0.38
• C0.425
• D0.625

On a vertical thermometer, the temperature at midnight was -5°F. By noon, the temperature rose to 18°F. What was the total change in temperature?

• A13°F
• B23°F
• C-13°F
• D-23°F

Evaluate the expression: -3/4 + (-2/3) × (9/10).

• A-27/20
• B-21/20
• C-7/20
• D1/20

A submarine is at an elevation of -180.5 meters relative to sea level. It ascends at a rate of 12.4 meters per minute for 8 minutes. What is the submarine's new elevation?

• A-279.7 meters
• B-98.9 meters
• C-81.3 meters
• D81.3 meters

Which fraction is equivalent to the repeating decimal 0.444... (0.4̄)?

• A1/4
• B4/9
• C4/10
• D4/11

Simplify: (-5/6) ÷ (-2/3) - 7/4.

• A-1/2
• B-7/12
• C1/4
• D3/4

Point A on a number line is located at -7.25 and Point B is located at 4.75. What is the distance between Point A and Point B?

• A-12.0
• B-2.5
• C2.5
• D12.0

At 6:00 AM, the temperature was -12.4°C. Over the next 5 hours, the temperature changed by an average of +2.8°C per hour. What was the temperature at 11:00 AM?

• A-26.4°C
• B-1.6°C
• C1.6°C
• D14.0°C

A bank account balance was -$45.50. The account holder makes two deposits of $35.00 each and one withdrawal of $22.75. What is the new account balance?

• A-$98.25
• B$1.75
• C$47.25
• D$91.75

Which statement correctly describes the decimal representation of 7/12?

• AIt is a terminating decimal equal to 0.583
• BIt is a repeating decimal equal to 0.58333...
• CIt is a repeating decimal equal to 0.585858...
• DIt is a terminating decimal equal to 0.58

Evaluate: (-2.5)² - (-4.8) ÷ 1.2.

• A2.25
• B6.25
• C10.25
• D14.25

A hiker starts at an elevation of 1,250 feet above sea level. She descends 420 feet, then ascends 185 feet, and finally descends 310 feet. What is her final elevation?

• A705 feet
• B895 feet
• C1,525 feet
• D2,165 feet

Evaluate the expression: [-3.6 × 2.5 + (-4.2)] / (-3/5).

• A-22.0
• B-8.0
• C8.0
• D22.0

Convert the repeating decimal 0.272727... (0.27̄) to a fraction in simplest form.

• A3/11
• B27/100
• C7/25
• D9/33

Three points are plotted on a vertical number line: P = -14.8, Q = -3.2, and R = 8.6. What is the difference between the distance from P to R and the distance from P to Q?

• A11.6
• B11.8
• C23.4
• D35.0

A stock's value changed over five consecutive trading days as follows: -$1.45, +$0.80, -$2.10, -$0.65, +$1.15. If the initial stock price was $42.50, what was the average daily change in price, and what was the final price?

• AAverage change: -$0.45; Final price: $40.25
• BAverage change: -$0.45; Final price: $42.05
• CAverage change: -$2.25; Final price: $40.25
• DAverage change: +$0.45; Final price: $44.75

Simplify the linear expression: 4x - 7 + 3x + 12.

• A7x - 5
• B7x + 5
• C12x + 5
• D7x + 19