Deck 4: Solving for the Unknown

Question 1

4C stands for twice Cathy's age.

Answer 1

False

Question 2

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

Answer 2

True

Question 3

An equation represents a math expression of equality.

Answer 3

True

Question 4

2(V- 8) = 90; V = 53.

Question 5

B + 8 = 9; B = 17.

Question 6

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

Question 7

B - 11 = 40; B = 29.

Question 8

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

Question 9

A formula is not an equation.

Question 10

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

Question 11

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

Question 12

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

Question 13

Variables can only be numbers.

Question 14

C/D means C divided by D.

Question 15

20(C - 9) means the 20 is multiplied only times the C to clear the parentheses.

Question 16

B/30 = 9; B = 270.

Question 17

Variables and constants are terms of mathematical expressions.

Question 18

6H + H - 20 = 44 - H; H = 8.

Question 19

4 + 3 = 9 is an equation of equality.

Question 20

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

Question 21

What number decreased by 630 equals 1,510?

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

Question 22

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 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

5(Z + 60) = 900; Z = 120.

Question 25

8G = 96; G equals:

A) 12
B) 21
C) -12
D) -21
E) None of these

Question 26

Q + 92 = 128; Q equals:

A) -36
B) 36
C) 220
D) -220
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

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

Question 29

2,000(A - 5) = 110,000; A equals:

A) 6
B) 60
C) 600
D) 6,000
E) None of these

Question 30

B/8 = 90; B equals:

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

Question 31

A times C is represented by:

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

Question 32

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 33

+31 - (-16) equals:

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

Question 34

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

Question 35

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 36

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 37

1/4B - 10 = 7; B = 67.

Question 38

C + 100 = 55; C equals:

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

Question 39

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 40

N/8 + 6 = 58; N equals:

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

Question 41

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 42

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 43

Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.)
7 (A - 4) = 21

Question 44

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 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

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 47

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 48

Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.)
1,105 = B + 82

Question 49

Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.)
6B - 80 = 160

Question 50

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 51

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 52

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 53

Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.)
A + 80 = 165

Question 54

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 55

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 56

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 57

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 58

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 59

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 60

Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.)
Q/40 = 20

Question 61

One day Marika Company produced 6 times as many wood stoves as Barry Company. If the difference in their production is 15, how many stoves did Barry produce that day?

Question 62

8 (A - 5) = 70

Question 63

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 64

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 65

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 66

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 67

A furniture company produced 5 times as many beds on shift 2 as it did on shift 2. If a total of 240 beds were produced, how many were produced on each shift?
A. ____________ Shift 1
B. ____________ Shift 2

Question 68

1/9 of all sales were for cash. If cash sales were $59,000, what were the total sales?

Question 69

Runyon Company sells T-shirts ($5) and shorts ($6). If total sales were $1,040 and people bought 4 times as many T-shirts as shorts, what would be the number of T-shirts and shorts sold?
A. ___________ T-shirts
B. ___________ Shorts

Question 70

5A - 10 = 90

Question 71

Over the past month, 900 trucks were sold. Abe sold 4 times as many as Joe. How many did each sell?
A. ____________ Abe
B. ____________ Joe

Question 72

2,015 = Q + 90

Question 73

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 74

10A - 20 = 4A + 80 (answer to closest hundredth).

Question 75

A + 20 = 55

Question 76

B + 40 = 90

Question 77

1,080 = B + 30

Question 78

Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.)
8A - 40 = 4A + 60

Question 79

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

Question 80

7B - 70 = 140