Deck 5: Solving for the Unknown: a How-To Approach for Solving Equations

Question 1

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

Answer 1

False

Question 2

AB or A(B)means A divided by B.

Answer 2

False

Question 3

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

Answer 3

True

Question 4

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

Question 5

B + 8 = 9; B = 17.

Question 6

4C stands for twice Cathy's age.

Question 7

Variables can only be numbers.

Question 8

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

Question 9

6H + 2H - 20 = 44; H = 8.

Question 10

B - 11 = 40; B = 29.

Question 11

A formula is not an equation.

Question 12

B/30 = 9; B = 270.

Question 13

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

Question 14

C/D means C divided by D.

Question 15

Variables and constants are terms of mathematical expressions.

Question 16

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

Question 17

If there is no number in front of a letter, it is really the number 1.

Question 18

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

Question 19

An equation represents a math expression of equality.

Question 20

4 + 3 = 9 is an equation of equality.

Question 21

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

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

Question 22

C + 100 = 55; C equals:

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

Question 23

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

Question 24

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 25

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

Question 26

Q + 92 = 128; Q equals:

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

Question 27

+31 - (-16)equals:

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

Question 28

What number decreased by 630 equals 1,510?

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

Question 29

Jerry's age 3 years ago can be expressed as:

A)A - 3
B)A + 3
C)3A - 10
D)A/3
E)None of these

Question 30

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 31

A times C is represented by:

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

Question 32

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 33

N/8 + 6 = 58; N equals:

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

Question 34

8G = 96; G equals:

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

Question 35

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

Question 36

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 37

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

Question 38

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 39

B/8 = 90; B equals:

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

Question 40

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

Question 41

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 42

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

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

Question 43

Staples has a discount on flash drives and boxes of computer paper. It offers flash drives for $6 each and boxes of computer paper for $40 each box. If total sales on these discount items is $4200 for the week, and customers bought 5 times as many flash drives as boxes of computer paper, how many boxes of computer paper were sold?

A)12
B)70
C)60
D)50
E)None of these

Question 44

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 shirts as polo shirts. How many casual shirts did Kohl's sell?

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

Question 45

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 46

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 47

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 48

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

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

Question 49

Match the term with its definition.

-Blueprints

A)A match statement of equality
B)I = P × R × T
C)Multiplication or grouping
D)- 3
E)Letters or symbols
F)Attempting to solve for
G)+ 2
H)1 G
I)Teaching aid

Question 50

7G = 112; G equals:

A)?161
B)?112
C)121
D)16
E)None of these

Question 51

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 52

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 53

Coffee costs $12 per case, and tea costs $8 per case. If an order comes in for a total of 250 cases for $2,400, what was the specific number of cases of tea?

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

Question 54

P + 77 = 101; P equals:

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

Question 55

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 56

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 57

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 for 3/4 Al. How much will Al receive?

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

Question 58

Match the term with its definition.

-Formula

A)A match statement of equality
B)I = P × R × T
C)Multiplication or grouping
D)- 3
E)Letters or symbols
F)Attempting to solve for
G)+ 2
H)1 G
I)Teaching aid

Question 59

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 60

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

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

Question 61

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

Question 62

Match the term with its definition.

-Parenthesis

A)A match statement of equality
B)I = P × R × T
C)Multiplication or grouping
D)- 3
E)Letters or symbols
F)Attempting to solve for
G)+ 2
H)1 G
I)Teaching aid

Question 63

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

Question 64

Match the term with its definition.

-2

A)A match statement of equality
B)I = P × R × T
C)Multiplication or grouping
D)- 3
E)Letters or symbols
F)Attempting to solve for
G)+ 2
H)1 G
I)Teaching aid

Question 65

Match the term with its definition.

-Constant

A)A match statement of equality
B)I = P × R × T
C)Multiplication or grouping
D)- 3
E)Letters or symbols
F)Attempting to solve for
G)+ 2
H)1 G
I)Teaching aid

Question 66

Match the term with its definition.

-G

A)A match statement of equality
B)I = P × R × T
C)Multiplication or grouping
D)- 3
E)Letters or symbols
F)Attempting to solve for
G)+ 2
H)1 G
I)Teaching aid

Question 67

Match the term with its definition.

-Variables

A)A match statement of equality
B)I = P × R × T
C)Multiplication or grouping
D)- 3
E)Letters or symbols
F)Attempting to solve for
G)+ 2
H)1 G
I)Teaching aid

Question 68

Match the term with its definition.

-Equation

A)A match statement of equality
B)I = P × R × T
C)Multiplication or grouping
D)- 3
E)Letters or symbols
F)Attempting to solve for
G)+ 2
H)1 G
I)Teaching aid

Question 69

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

Question 70

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

Question 71

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. Number of T-shirts sold. B. Number of shorts sold.

Question 72

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

Question 73

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

Question 74

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 75

Match the term with its definition.

-Unknowns

A)A match statement of equality
B)I = P × R × T
C)Multiplication or grouping
D)- 3
E)Letters or symbols
F)Attempting to solve for
G)+ 2
H)1 G
I)Teaching aid

Question 76

$\frac {\text { 1 }} { \text { 9} }$ of all sales were for cash. If cash sales were $59,000, what were the total sales?

Question 77

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

Question 78

Erasers cost $6 per carton, and pencils cost $7 per carton. If an order comes in for a total of 16 cartons for $100, what was the number of cartons of each bought?

Question 79

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 80

Solve for the unknown, showing all work. (If necessary, round to the nearest hundredth.)
= 20
$$\frac { Q } { 40 }$$