Linear Equations Covid #3

The balance in Joan’s savings account tripled during the year. Joan then withdrew $500, and the resulting balance was $100. What was the balance in the account before it tripled?

• $200

• $300

• $400

• $500

• $600

For what value of x is the equation  $2\left(x-6\right)+x\ =\ 18$ ? 

• 15

• 1

• 8

• 4

• 2

An earring manufacturing company has fixed costs of $10,000 per month and production costs of $0.60 for each pair of earrings it makes. If the company produces x pairs of earrings in a month, which of the following expressions represents the total of the company’s monthly costs?

• $10,000x

• $10,000 + x

• $10,000x + $0.60

• $10,000 + $0.60x

• $\left(\text{10,000 + }0.60\right)x$

In the formula d = rt, d represents distance in miles, r represents average speed in miles per hour, and t represents time in hours.  What is an automobile’s average speed, in miles per hour, if it travels 60 miles in 1.5 hours?

• 30

• 40

• 60

• 90

• 120

For what value of $a$ is  $x\ =\ 3$  a solution to the equation  $x\ +\ 3\ =\ ax\ +9$  ? 

• 1.5

• 1

• -1

• -1.5

• -3

Due to inflation, a car that formerly sold for $15,000 now sells for 10% more. Which of the following calculations gives the current cost, in dollars, of the car?

• $15,000 + 10

• $15,000+ $15,000(0.01)

• $15,000 + $15,000(0.10)

• $15,000 + $15,000(10)

• $15,000(0.10)

A truck sprang a leak at the bottom of its radiator, which held 480 ounces of fluid when it started to leak, and started losing radiator fluid at a constant rate of 4 ounces per minute. Suppose that the radiator continued to leak at this constant rate and that the truck, traveling at 35 miles per hour, could continue traveling at this rate until its radiator was completely empty. In how many miles would the radiator be empty?

• 13.7

• 17.5

• 35.0

• 70.0

• 120.0

To purchase a car that costs $3,500, a buyer has to pay, in addition, $250 for insurance and $250 for taxes and fees. If the buyer has $1,800 saved for a car, what amount must be borrowed to be able to buy the car and pay these expenses?

• $1,200

• $1,700

• $2,200

• $4,000

• $5,800

What is the value of x if $\frac{x}{2}+\frac{x}{5}=\ 1$ ? 

•  $\frac{7}{10}$  

•  $\frac{10}{7}$  

• 7

• 8

• 10

Michelle went shopping for some clothes and found a pair of slacks that cost twice as much as a shirt that she liked. If the total, before tax, for the pair of slacks and the shirt was $22.50, how much was the shirt, before tax?

• $5.62

• $7.50

• $10.00

• $11.25

• $15.00