Writing Questions Flashcards

A word problem states: 'Sarah earns $15 per hour and works h hours. She also receives a $50 bonus.' Which equation represents her total earnings T?

Answer: T = 15h + 50

Total earnings equals the hourly rate times hours worked plus the flat bonus: T = 15h + 50.

Which inequality represents 'a number x is at most 12'?

Answer: x ≤ 12

'At most 12' means x can equal 12 or be less, so x ≤ 12.

A tank holds 200 gallons and drains at 4 gallons per minute. Which expression gives the amount W remaining after m minutes?

Answer: W = 200 - 4m

Starting volume minus the drain rate times minutes gives W = 200 - 4m.

Which expression represents 'three less than twice a number n'?

Answer: 2n - 3

'Twice a number' is 2n, and 'three less than' means subtract 3, giving 2n - 3.

A store marks up items by 20%. If an item costs the store $c, which expression gives the selling price S?

Answer: S = 1.2c

A 20% markup means multiplying the cost by 1.20, so S = 1.2c.

Which equation models 'the sum of two consecutive integers equals 47'?

Answer: n + (n + 1) = 47

Consecutive integers differ by 1, so the two numbers are n and n+1, and their sum is 47.

A recipe requires r cups of flour for 12 cookies. Which expression gives the cups needed for 60 cookies?

Answer: 5r

60 cookies is 5 times 12 cookies, so you need 5r cups of flour.

A gym charges a $30 enrollment fee plus $25 per month. Which equation gives the total cost C after m months?

Answer: C = 25m + 30

The one-time fee is 30 and the recurring monthly charge is 25m, giving C = 25m + 30.

Which expression represents 'the quotient of a number n and 4, increased by 7'?

Answer: n/4 + 7

'Quotient of n and 4' is n÷4, and 'increased by 7' adds 7, giving n/4 + 7.

A population of 500 bacteria doubles every hour. Which expression gives the population P after h hours?

Answer: P = 500 · 2^h

Doubling each hour is exponential growth: P = 500 · 2^h.

Which inequality represents 'a number y is more than 5 units away from zero'?

Answer: |y| > 5

Distance from zero is absolute value, and 'more than 5' means |y| > 5.

A car travels at a constant speed of s mph. Which expression gives the distance d after t hours if it started 10 miles ahead?

Answer: d = st + 10

Distance equals speed × time, plus the head-start of 10 miles: d = st + 10.

Which equation represents 'five times the difference of a number x and 3 equals 20'?

Answer: 5(x - 3) = 20

'Difference of x and 3' is (x - 3), and multiplying by 5 gives 5(x - 3) = 20.

A triangle has a perimeter of 36 cm. Two sides measure x and 2x. Which equation finds x?

Answer: 4x = 36

If the three sides are x, 2x, and the remaining side, we need more info; but if the third side equals x, then x + 2x + x = 4x = 36.

A runner completes a race in t minutes. A second runner finishes 8 minutes faster. Which expression gives the second runner's time?

Answer: t - 8

'Faster' means less time, so the second runner's time is t - 8.

Which equation represents 'half of a number increased by 9 is 21'?

Answer: n/2 + 9 = 21

'Half of n' is n/2, and 'increased by 9' gives n/2 + 9 = 21.

A vendor sells apples for $0.50 each and oranges for $0.75 each. Which expression gives the total cost for a apples and g oranges?

Answer: 0.50a + 0.75g

Multiply each item's price by its quantity and add: 0.50a + 0.75g.

Which inequality represents 'the product of 3 and a number x is no less than 15'?

Answer: 3x ≥ 15

'No less than' means 'greater than or equal to,' so 3x ≥ 15.

A pool is being filled at 8 gallons per minute and simultaneously drained at 3 gallons per minute. Which expression gives the net gallons after m minutes?

Answer: 5m

Net fill rate is 8 - 3 = 5 gallons per minute, so the net gallons after m minutes is 5m.

Which expression represents 'the square of the sum of x and 4'?

Answer: (x + 4)²

'The sum of x and 4' is (x + 4), and squaring it gives (x + 4)².