Question 1

A company offers two internet plans. Plan X charges a monthly fee of $$20 plus 0.10 $$per GB of data. Plan Y charges a monthly fee of $$10 plus 0.15 $$per GB of data. For how many GB of data will the two plans cost the same?

Accepted Answer

$$200$$

Question 2

After a 25% discount, a bicycle costs $600. What was the original price of the bicycle?

Accepted Answer

$$800$$

Question 3

You invest $$4000 in two accounts, one earning 5% interest and the other earning 8% interest. If the total interest earned in one year is 270$$, how much was invested at 8%?

Accepted Answer

$$2000$$

Question 4

The length of a rectangular garden is 10 meters more than twice its width. If the perimeter is 68 meters, what is the width?

Accepted Answer

$$8$$

Question 5

Solve the formula $$A = lw$$ for $$w.$$

Accepted Answer

$$w = \dfrac{A}{l}$$

Question 6

A chemist needs to mix a 20% saline solution with a 50% saline solution to obtain 100 mL of a 30% solution. How many mL of the 20% solution should be used?

Accepted Answer

$$66.7$$

Question 7

If $$P = 2l + 2w$$, solve for $$l in $$terms of $$P$$ and $$w.$$

Accepted Answer

$$l = \dfrac{P - 2w}{2}$$

Question 8

A car rental company charges a flat fee of $$50 plus 0.20 $$per mile driven. If your total bill was $90, how many miles did you drive?

Accepted Answer

$$200$$

Question 9

Solve the formula $$V = \pi r^2$ h$$ for $$h.$$

Accepted Answer

$$h = \dfrac{V}{\pi r^2$}$$

Question 10

A rectangle has a perimeter of 60 cm. If the length is 5 cm more than the width, what are the dimensions of the rectangle?

Accepted Answer

$$l = 20 cm$$, $$w = 15 cm$$

Question 11

If $$P = C + MC$$, solve for $$M in $$terms of $$P$$ and $$C.$$

Accepted Answer

$$M = \dfrac{P - C}{C}$$

Question 12

A student borrows $2000 at a simple interest rate of 6% per year. How much interest will be owed after 3 years?

Accepted Answer

$$360$$

Question 13

A store marks up the price of a jacket by 40%. If the final price is $98, what was the original price?

Accepted Answer

$$80$$

Question 14

A rectangular field is 3 times as long as it is wide. If the perimeter is 96 meters, what is the length?

Accepted Answer

$$36$$

Question 15

If $$A = P(1 + rt)$$, solve for $$t in $$terms of $$A$$, $$P$$, and $$r.$$

Accepted Answer

$$t = \dfrac{A/P - 1}{r}$$

Question 16

A family wants to fence a rectangular garden along one side of their house, using 60 meters of fencing for the other three sides. If the length is twice the width, what are the dimensions?

Accepted Answer

$$l = 24 m$$, $$w = 12 m$$

Question 17

A loan of $$5000 is $$split between two accounts, one earning 4% and the other 7% annual interest. If the total interest after one year is $$290$$, how much was invested at 7%?

Accepted Answer

$$3000$$

Question 18

If $$d = rt$$, solve for $$r in $$terms of $$d$$ and $$t.$$

Accepted Answer

$$r = \dfrac{d}{t}$$

Question 19

A rectangular parking lot is 20 meters longer than it is wide. If the perimeter is 160 meters, what is the width?

Accepted Answer

$$30$$

Question 20

If $$y = mx + b$$, solve for $$x in $$terms of $$y$$, $$m$$, and $$b.$$

Accepted Answer

$$x = \dfrac{y - b}{m}$$

Solving Linear Equations and Applications in Precalculus

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