Deck 5: Solving for the Unknown: a How to Approach to Solving Equations

Question 1

A times C is represented by:

A)A:C
B)A + C
C)AC
D)A/C
E)None of these

Answer 1

C

Question 2

B + 8 = 9; B = 17.

Answer 2

False

Question 3

More than one unknown in a word problem can be represented in terms of the same variable assigned to first unknown.

Answer 3

True

Question 4

If there are two unknowns, the variable is always assigned to the larger value.

Question 5

A letter or a symbol that represents one or more numbers is a:

A)Variable
B)Equation
C)Known
D)Constant
E)None of these

Question 6

A formula is not an equation.

Question 7

B/30 = 9; B = 270.

Question 8

B/5 + 3 = 15; B = 16.

Question 9

Whatever you do to one side of an equation, you must do to the other.

Question 10

When an equation uses addition, the variable can be solved by the opposite process: subtraction.

Question 11

B - 6 represents Bob's age six years ago.

Question 12

No number in front of a letter is really a 1.

Question 13

In word problems, the word "of" indicates an equal sign.

Question 14

Variables can only be numbers.

Question 15

Variables and constants are terms of mathematical expressions.

Question 16

Jerry's age 10 years ago can be expressed as:

A)A - 10
B)A + 10
C)2A - 10
D)2A + 10
E)None of these

Question 17

B - 11 = 40; B = 29.

Question 18

There is only one set way to solve all word problems.

Question 19

An equation represents a math expression of equality.

Question 20

An equation is:

A)A math expression of inequality
B)A math expression of constants
C)A math unknown
D)A math expression of equality
E)None of these

Question 21

One-eleventh of all sales at Joe's Diner are for cash. If cash sales for the week were $380, what were Joe's total sales?

A)$41,800
B)$4,180
C)$4,108
D)$41,808
E)None of these

Question 22

Staples sells CDs ($2.00) and boxes of computer paper ($3). If total sales were $1,560 and customers bought 5 times as many CDs as boxes of computer paper, how many CDs were sold?

A)120
B)480
C)600
D)1,200
E)None of these

Question 23

Jane sells 8 times as many Volvos as Melissa. If the difference in their sales is 35, how many cars did Jane sell?

A)35
B)5
C)45
D)40
E)None of these

Question 24

Belts cost $160 per carton, and shoes cost $465 per carton. If an order comes in for a total of 88 cartons for $19,265, what is the number of cartons of belts? (Hint: Let S = cartons of shoes.)

A)17
B)18
C)16
D)71
E)None of these

Question 25

N/8 + 6 = 58; N equals:

A)512
B)416
C)521
D)461
E)None of these

Question 26

Lane is 10 times Mel's age. If the difference in their age is 27, how old is Mel?

A)3
B)4
C)30
D)26
E)None of these

Question 27

One-ninth of all sales at a local Subway are for cash. If cash sales for the week were $690, what were Subway's total sales?

A)$2,610
B)$22,600
C)$6,210
D)$2,611
E)None of these

Question 28

A local Walmart sells sweatpants ($7) and jackets ($14). If total sales were $6,160 and customers bought 8 times as many sweatpants as jackets, what would be the number of jackets sold?

A)880
B)8
C)88
D)8,880
E)None of these

Question 29

What number decreased by 630 equals 1,510?

A)880
B)2,140
C)4,120
D)1,240
E)None of these

Question 30

Rick and Ranger sell Toyotas for Tom's Auto. Over the past year they sold 360 cars. Assuming Rick sells 5 times as many as Ranger, how many Toyotas did Ranger sell?

A)180
B)240
C)300
D)60
E)None of these

Question 31

Dolls cost $140 per carton, and trucks cost $430 per carton. If an order comes in for a total of 100 cartons for $28,500, what was the number of cartons of dolls? (Hint: Let T = cartons of trucks.)

A)60
B)70
C)50
D)30
E)None of these

Question 32

Marvin Co. sells pens ($6) and flashlights ($10). If total sales were $624 and customers bought 7 times as many pens as flashlights, what would be the number of pens sold?

A)12
B)62
C)84
D)48
E)None of these

Question 33

Mike and Bill sell cars for Jangle's Auto. Over the past year they sold 640 cars. Assuming Mike sells 3 times as many as Bill, how many cars did Mike sell?

A)480
B)160
C)180
D)500
E)None of these

Question 34

Coffee costs $12 per case, and tea costs $8 per case. If an order comes in for a total of 250 cases for $2,600, what was the specific number of cases of tea? (Hint: Let C = cases of coffee.)

A)150
B)100
C)1,800
D)800
E)None of these

Question 35

+31 - (-16) equals:

A)15
B)47
C)-15
D)-47
E)None of these

Question 36

What number increased by 3,080 equals 5,082?

A)2,020
B)18,126
C)8,162
D)2,002
E)None of these

Question 37

C + 100 = 55; C equals:

A)45
B)155
C)-155
D)-45
E)None of these

Question 38

At Shaw's Market, apples cost $10 per case and bananas cost $6 per case. If an order comes in for a total of 300 cases for $2,000, what was the specific number of cases of apples? (Hint: Let A = cases of apples.)

A)5
B)15
C)50
D)200
E)None of these

Question 39

Q + 92 = 128; Q equals:

A)-36
B)36
C)220
D)-220
E)None of these

Question 40

B/8 = 90; B equals:

A)8
B)90
C)72
D)27
E)None of these

Question 41

Kohl's sells casual shirts for $9 and polo shirts for $18.00. Total sales were $1,080, and customers bought 4 times as many casual as polo shirts. How many casual shirts did Kohl's sell?

A)80
B)60
C)40
D)12
E)None of these

Question 42

Solve the following: 1,000(X - 2) = 75,000

A)7
B)77
C)770
D)7,700
E)None of these

Question 43

If Sears Roebuck sells six times as many batteries as Firestone and their difference in sales is 250,000 batteries, how many batteries did each sell?

Question 44

Jim Murray and Al Sming sold a total of 600 camcorders. Jim sold 5 times as many camcorders as Al. How many did each sell?

Question 45

Jill Co. sells thermometers ($2) and hot water bottles ($6). If total sales were $312 and customers bought 10 times as many thermometers as hot water bottles, what would be the number of hot water bottles sold?

A)120
B)119
C)12
D)11
E)None of these

Question 46

American Airlines reduced its round trip fare from Boston to New York by $45. The sale price was $139. What was the original price?

Question 47

Ryan Small budgets 1/8 of his weekly salary for food. Ryan's food bill is $80. What is his weekly salary?

Question 48

Over the past month, 700 trucks were sold. Abe sold 6 times as many as Joe. How many did each sell?

Question 49

In Ryan Corporation, the first shift produced 5 1/2 times as many lightbulbs as the second shift. If the total lightbulbs produced was 16,250, how many lightbulbs were produced on shift 1?

A)2,500
B)25,000
C)1,375
D)13,750
E)None of these

Question 50

Marika is 8 times Barry's age. If the difference in their age is 7 years, how old is Marika?

Question 51

P + 77 = 101; P equals:

A)178
B)22
C)42
D)24
E)None of these

Question 52

A furniture company produces 4 times as many beds on shift 2 as on shift 1. If a total of 1,000 beds were produced, how many were produced on each shift?

Question 53

Scholastic Books sells 4 times as many textbooks as Keller Publishing; together they sold 7,775 textbooks. How many did Scholastic sell?

A)9,330
B)1,555
C)6,220
D)6,022
E)None of these

Question 54

Andy Foll is 6 times as old as Mel Kaas. Andy is 15 years older than Mel. What is Mel's age?

Question 55

A + 20 = 55

Question 56

Al Resse and Marci Rey received a total of $210,000 from a deceased relative's estate. They decided to put away $50,000 in a trust for their child and divide the remainder into 1/4 for Marci and 3/4 for Al. How much will Al receive?

A)$40,000
B)$120,000
C)$32,000
D)$10,000
E)None of these

Question 57

Peter Mabet sold a total of 400 oatmeal ($1.50) and wheat ($2) breads during the Labor Day weekend. How many of each did Peter sell if total sales were $700? Check your answer. (Let W = wheat.)

Question 58

Brian Smith sells sets of movie posters ($12) and baseball cards ($8) at a local flea market. Last Sunday, Brian's total sales were $840. People bought 4 times as many movie posters as baseball cards. How many of each did Brian sell? Check your answer.

Question 59

Joe Berry and Jane Rose received a total of $180,000 from a deceased relative's estate. They decided to put away $80,000 in a trust for their child and divide the remainder into 3/4 for Jane and 1/4 for Joe. How much will Jane receive?

A)$25,000
B)$75,000
C)$20,000
D)$80,000
E)None of these

Question 60

In Johnson Corporation, the first shift produced 8 1/2 times as many lightbulbs as the second shift. If the total lightbulbs produced was 24,700, how many lightbulbs were produced on shift 2?

A)2,600
B)22,100
C)6,200
D)22,010
E)None of these

Question 61

The cost of oil is 6 times the cost of wood. The total bill for oil and wood is $700. What was the expense for each?

Question 62

Melons cost $20 per crate, and apples cost $8 per crate. An order comes in for a total of 48 crates for $420. What was the number of crates of melons and apples? (Let crates of melons = M.)

Question 63

At Miduale Electronics, the first shift produced 6 times as many items as the second shift. If total production was 4,900, what was the output for each shift?

Question 64

Wrenches cost $50 per carton, and hammers cost $150 per carton. If an order comes in for a total of 60 cartons for $5,000, what was the number of cartons of wrenches as well as hammers? (Hint: Let cartons of hammers = H.)

Question 65

Art Neuner and Paul Kosponato sell trucks for Blue Auto. Over the past year, they sold 240 trucks. Assuming Paul sells 7 times as many as Art, how many trucks did each sell?