Isolating Variables Quiz

An apple orchard manager uses two different sized baskets to collect apples. The first basket can hold a pounds of apples, and the second basket can hold b pounds of apples. The first basket is used M times and the second basket is used N times. The total amount of apples, A, that have been collected can be found using the equation A = Ma + Nb. What is the solution that would correctly isolate the variable N?

• N = (A - Ma) / b

• N = (A + Ma) / b

• N = (A - b) / Ma

• N = (A + b) / Ma

Tags

CCSS.HSA.CED.A.4

An equation is shown. What option correctly isolates the variable, t, for the given equation?

p = kx + t

• t = p - kx

• t = p + kx

• t = kx/y

• t = y/kx

Tags

CCSS.HSA.CED.A.4

Correctly isolate the variable F for the given equation. The equation C = 5/9 (F - 32) is shown.

• F = 9/5 C + 32

• F = 5/9 C + 32

• F = 9/5 (C + 32)

• F = 5/9 (C + 32)

Tags

CCSS.HSA.CED.A.4

Sebastian has two jobs. One week he noticed his paychecks were the same after working the same amount of hours at both jobs. As a barista he earned $10.50 per hour plus $75.00 in tips. Working at a bookstore he earned $13.20 per hour plus $25.50 in sales bonuses. How many hours did Sebastian work at each job when both of the paychecks were the same?

• 4 hours

• 5 hours

• 6 hours

• 7 hours

Tags

CCSS.8.EE.C.7B

Rob and Maria are planning to rent a boat for a weekend trip. The rental company charges an initial fee of $150, plus $0.45 per mile traveled. The first 100 miles are included in the initial fee. If Alex and Jamie paid a total of $570 for the rental, which equation represents the cost of the rental in terms of miles, $m$, traveled?

• 570 = 150 + 0.45(m - 100)

• 570 = 150 + m(0.45 + 100)

• 570 = 0.45m + (150 - 100)

• 570 = 150 + 0.45m

Tags

CCSS.HSA.CED.A.3

A candle weighs 250 grams. Each hour the candle is lit, it burns 5 grams of its wax. Let h be the number of hours the candle burns. Which equation can be used to determine the number of hours it takes for the candle to weigh 175 grams?

• 175 - 5h = 250

• 175h + 5 = 250

• 250 - 5h = 175

• 250h - 5 = 175

Tags

CCSS.HSA.CED.A.3

A group of friends decide to attend a music festival. The group pays a one-time service fee of $30 plus $120 per ticket. They also each pay $20 for transportation to the festival. If the group spent $1,290 in total, how many friends are in the group? There are __________ friends in the group.

Tags

CCSS.7.EE.B.4A

The perimeter of a rectangular garden is 300 feet. The length of the garden is 20 feet more than twice the width of the garden. Part A What equation could be used to determine the perimeter of the garden?

• 2w + 20 = 300

• 4(2w + 20) = 300

• w + 2w + 20 = 300

• 2w + 2(2w + 20) = 300