Q: Sarah traveled 220 miles in 4 hours leaving the city, and 225 miles in 4.5 hours returning. What was her average speed on the return trip?

$$\frac{225}{4.5} = 50$$\text{ mph}$

Question 1

A number increased by twelve equals seventy-two. What is the number?

Accepted Answer

$$x = 60$$

Question 2

Six less than one-third of the sum of a number and four is negative two. What is the number?

Accepted Answer

$$n = 8$$

Question 3

A golf course has a perimeter of 92 miles. The length is 30 miles less than triple the width. What is the width?

Accepted Answer

$$w = 19$$

Question 4

The Langston Coliseum has 800 seats. The main floor has 180 more seats than the balcony, and the orchestra has 60 fewer than twice the balcony. How many seats are in the balcony?

Accepted Answer

$$b = 170$$

Question 5

The average weekday high temperature last week was $$83^	ext{o}. $$The highs for Monday through Thursday were $$75^	ext{o}$$, $$78^	ext{o}$$, $$84^	ext{o}$$, and $$87^	ext{o}. $$What was the high temperature on Friday?

Accepted Answer

$$x = 91^	ext{o}$$

Question 6

Five more than six times a quantity is three hundred five. Find the number.

Accepted Answer

$$x = 50$$

Question 7

The larger of two numbers is three more than twice the smaller. The sum of the numbers is thirty-nine. What is the smaller number?

Accepted Answer

$$x = 12$$

Question 8

Consider two numbers. The second number is twelve less than triple the first. The sum of the two numbers is twenty-four. What is the first number?

Accepted Answer

$$x = 9$$

Question 9

The mean annual snowfall in Juneau, Alaska, is 105.8 inches. This is 20.2 inches less than three times the annual snowfall in Boston. What is the annual snowfall in Boston?

Accepted Answer

$$b = 42$$

Question 10

Fred drove 330 miles at 50 mph. Sam drove the same distance at 55 mph. How long did it take Fred to drive the trip?

Accepted Answer

$$t = 6.6$$	ext{ hours}$

Question 11

Sarah traveled 220 miles in 4 hours leaving the city, and 225 miles in 4.5 hours returning. What was her average speed on the return trip?

Accepted Answer

$$\frac{225}{4.5} = 50$$	ext{ mph}$

Question 12

Melinda had five test scores: 87, 63, 79, 71, and 96. Her course average was 78. What score did she obtain on her sixth test?

Accepted Answer

$$x = 72$$

Question 13

Barbara's math course has four tests and one final exam. The final counts as two tests. Her test scores are 78, 80, 100, and 96. What grade does she need on the final to have a 90 average?

Accepted Answer

$$x = 96$$

Question 14

The maximum recorded rainfall for a 24-hour period in Alvin, Texas, was 43 inches. This was 14 inches less than three times the amount recorded in Ucluelet Brynnor Mines, Canada. How much rainfall was recorded in Canada?

Accepted Answer

$$x = 19$$

Question 15

If the sum of two numbers is 24 and the second is 12 less than triple the first, what is the second number?

Accepted Answer

$$y = 15$$

Question 16

A teacher told Melinda her course average was 78 based on six tests. If her scores were 87, 63, 79, 71, 96, and $$x$$, which equation represents the average?

Accepted Answer

$$\frac{87 + 63 + 79 + 71 + 96 + x}{6} = 78$$

Question 17

If the average of five numbers is 83 and four of them are 75, 78, 84, and 87, what is the fifth number?

Accepted Answer

$$x = 91$$

Question 18

If Sam drove 330 miles at 55 mph, how long did it take him?

Accepted Answer

$$t = 6$$	ext{ hours}$

Question 19

If the sum of two numbers is 39 and the larger is three more than twice the smaller, what is the larger number?

Accepted Answer

$$y = 27$$

Step-by-Step Guidance for Beginning Algebra Word Problems

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