General Math 1 Lesson 5

Solve for the variable in 6/18 = x/36. a.) 6 b.) 3 c.) 12 d.) 9

12

Edgar Anderson earns $300 a week plus a 15% commission only on sales he makes after his first $1,000 in sales. If Mr. Anderson's sales for week are $2,500, what is his gross pay for that week? a.) $575 b.) $525 c.) $450 d.) $675

$525 - 2,500-1,000 = 1,500. 1,500 x 15% = 225. 300 + 225 = 525.

Which of the following is true? a.) 1.75 > 1 1⁄2 b.) 0.25 ≠ 1⁄4 c.) 1.436 > 25⁄2 d.) 0.2185 = 1⁄3

1.75 > 1 1⁄2 - Since 11⁄2 equals 1.5, 1.75 is greater than 11⁄2.

A certain alloy contains 5.25% copper. How much copper is there in a piece weighing 200 pounds? a.) 1050 pounds b.) 105 pounds c.) 10.5 pounds d.) 1.05 pounds

10.5 pounds - 200 x 5.25/100 = 10.5

Compare the following numbers using division. Which of the statements below expresses the relationship between the numbers? 100 and 25 100 ÷ 25 = 4 a.) 25 is four times as large as 100. b.) 100 is one-quarter as large as 25. c.) 100 is four more than 25. d.) 100 is four times as large as 25.

100 is four times as large as 25 - Division compares numbers by telling you how many times larger the first number is than the second number. In this problem, 100 ÷ 25 = 4. Put another way, 25 × 4 = 100. Therefore, 100 is four times as large as 25.

How else can the ratio 14:1 be written? a.) 14/1 b.) 1/14 c.) 1:14 d.) 1.4

14/1

What are the means of the following proportion? 3/15 = 12/60 a.) 12 and 60 b.) 15 and 12 c.) 3 and 15 d.) 3 and 60

15 and 12 - extreme : mean = mean : extreme

What is 6:12 in simplest form? a.) 1:2 b.) 2:1 c.) 12:6 d.) 2

1:2 - 6/12 = .5 or 1/2

Darren and Latisha are decorating cupcakes for a bake sale. They need to decorate 100 cupcakes. Each of them has decorated 40% of the cupcakes. What percentage of cupcakes do they have left to decorate? a.) 20% b.) 100% c.) 40% d.) 50%

20% - If Darren and Latisha have each decorated 40% of the cupcakes, they have decorated 80% of the cupcakes together (40% + 40%). 100% − 80% = 20%. They have 20% of the cupcakes left to decorate.

Ebony earns $2,000 per month. If she spends $450 on rent each month, what percent of her income does she spend on rent? a.) 22.5% b.) 25% c.) 10% d.) 17.24%

22.5% - 2,000-450 = 1,550. 1,550/2000 = 0.775. 1-0.775 = 0.225 or 22.5%

Which one of the following statements expresses a TRUE proportion? a.) 2:1 = 1:2 b.) 3:4 = 9:12 c.) 54:9 = 6:3 d.) 7:9 = 8:9

3:4 = 9:12

Aiden works in a warehouse. 1,200 men work in the warehouse, while only 300 women work at the warehouse. Write a ratio that compares men to women working at the warehouse. a.) 300 : 1,200 b.) 1,200 : 400 c.) 4 : 1 d.) 3 : 1

4 : 1 - There are 1,200 men and 300 women at the warehouse. Therefore, the ratio of men to women is 1,200 to 300, or 4 to 1.

Kent worked in the housewares section of a department store. This year he set a record high for vacuum sales with 567 vacuums sold. The previous high was last year, when 540 vacuums were sold. What is the percent of increase in sales from last year to this year? a.) 50% b.) 5% c.) 105% d.) 20%

5% - Percentage increase = 567-540 / 540 = 27/540 *100 = 5%.

A certain alloy contains 14.25% nickel. How much nickel is there in a piece weighing 375 pounds? Round your answer to the nearest hundredth. a.) 53.44 pounds b.) 78.92 pounds c.) 112.49 pounds d.) 12.24 pounds

53.44 pounds - 375 x 14.25/100 = 53.4375

During a paint sale, a hardware store sold 33 gallons of flat paint and 57 gallons of high-gloss paint. What's the ratio of gallons of high-gloss sold to the total gallons sold? a.) 57:33 b.) 57:90 c.) 33:90 d.) 33:57

57:90

Find the missing number. 1:2 = 3: _____. a.) 3 b.) 1 c.) 2 d.) 6

6

Of the employees who work at Stalling Printing, 90% attended the safety procedures meeting. If 63 employees attended the meeting, how many employees work at Stalling Printing? a.) 128 b.) 143 c.) 70 d.) 57

70 - 63 employees who attended the meeting represents 90% of the total number of employees working at Stalling Printing. To get the total number of employees or the 100% number of employees, divide 63 by its percentage, 90%.63/90% or 63 / 0.90 = 70 total number of employees.

What number is 22% of 320? a.) 7.04 b.) 70.4 c.) 704 d.) 7040

70.4 - 22% x 320 = 70.4

This question is based on the following circle graph. The graph represents the results of a survey in which 400 people were ashed to identify the TV channel on which they preferred to watch the evening news. How many MORE people preferred WWCN than WANR? a.) 68 b.) 236 c.) 164 d.) 76

76 - The number of people who prefer to watch WWCN = 41% of 400 = 0.41 × 400 = 164; The number of people who prefer to watch WANR = 22% of 400 = 0.22 × 400 = 88; the number of people who prefer WWCN and WANR = 164 - 88 = 76.

Which one of the following symbols means less than? a.) < b.) > c.) ≠ d.) =

< - The four symbols that allow you to compare numbers are greater than (>), less than (<), equal to (=), and not equal to (≠).

Complete the following equation using <, >, or =. 100% _____ 1. a.) > b.) = c.) <

=

Complete the following equation using <, >, or =. 7 _____ 24/4. a.) > b.) = c.) <

> - 24/4 = 6. 7 is more than 6.

Which of the following terms refers to the whole amount to which the rate is applied? a.) Rate b.) Term c.) Percentage d.) Base

Base - The term base refers to the whole amount to which the rate is applied. The base most often follows the word "of." In a problem asking you to find 25% of 60, the number 60 is the base.

Which of the following is the method used to determine whether or not a proportion is true? a.) Inverse operations b.) Prorating c.) Simplifying d.) Cross multiplication

Cross multiplication - The method used to determine whether a proportion is true or not is called cross multiplication.

Since a proportion involves two ratios, every proportion must have four terms. The first and fourth terms are called which of the following? a.) Medians b.) Means c.) Averages d.) Extremes

Extremes - Since a proportion involves two ratios, every proportion must have four terms. The first and fourth terms are called the extremes. The second and third terms are called the means.

Paul can type 60 words per minute and Jennifer can type 80 words per minute. How does Paul's typing speed compare to Jennifer's? a.) Paul can type 1 1/3 times as fast as Jennifer. b.) Paul can type 1/4 as fast as Jennifer. c.) Paul can type 3/4 as fast as Jennifer. d.) Paul can type 1/3 as fast as Jennifer.

Paul can type 3/4 as fast as Jennifer - Paul's typing speed divided by Jennifer's typing speed = 60/80 = 3/4.

Which of the following is a mathematical statement showing that one ratio is equal to another ratio? a.) Term b.) Expression c.) Proportion d.) Factor

Proportion - A proportion is a mathematical statement showing that one ratio is equal to another ratio. The statement 3⁄6 = 6⁄12 (or 3 : 6 = 6 : 12) is a proportion.

Which of the following terms correctly describes 4 : 1? a.) Factor b.) Ratio c.) Fraction d.) Percent

Ratio - A ratio is defined as a mathematical comparison of two numbers by division. In ratios, however, the division is simply implied; it's not actually completed. 4 : 1 is a ratio that could also be read as 4 to 1.

This question is based on the following circle graph. The graph represents the results of a survey in which 400 people were asked to identify the TV channel on which they preferred to watch the evening news. Which channel is the most popular one for the evening news? a.) WANR b.) WWCN c.) WCLM d.) WKOD

WWCN

A _____ is a pair of equal ratios. a.) decimal b.) ratio c.) proportion d.) percent

proportion