Deck 5: Equations

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Question
In the equation X + 8 = 44, X is called the unknown.
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Question
When solving an equation with a parenthetic expression, the first step is to remove the parenthese? by multiplying each term within the parentheses by the number to the left of the parentheses.
Question
There is only one method used to solve all word problems.
Question
An equation is a statement that uses a division sign.
Question
When solving 7D + 4 = 60, you would first subtract 4 from both sides of the equation.
Question
Mark's age five years ago could be written as M - 5.
Question
When writing an equation, unknown quantities are represented by:

A) parentheses
B) numbers
C) symbols
D) letters
Question
The term AB means to multiply A by B.
Question
The word "difference" in a problem generally means to use division to find the unknown value.
Question
Any statement that uses an equal sign is called a(n):

A) equation
B) variable
C) symbol
D) unknown quantity
Question
Twice Kayla's age can be represented by 4K.
Question
If an equation indicates multiplication, you would perform subtraction to isolate the variable.
Question
A letter or symbol that represents one or more unknown values is a(n):

A) constant
B) equation
C) known
D) variable
Question
The verb in a word problem connects the unknown quantity with the known quantity and stands for:

A) subtraction
B) multiplication
C) addition
D) equals
Question
If more than one unknown occurs in a word problem, the same variable may be used for expressions that represent each unknown.
Question
An equation is:

A) a mathematical expression of equality
B) a mathematical unknown
C) an expression of a mathematical inequality
D) a mathematical expression of constants
Question
If an equation indicates addition in its presentation, in order to solve for the unknown you must:

A) subtract
B) divide
C) multiply
D) add
Question
In an equation containing an addition and a multiplication operation, you should first undo addition and then undo multiplication.
Question
Most of the time that you see the word "of" in a word problem, you can assume the problem involves:

A) division
B) addition
C) multiplication
D) subtraction
Question
The equation X / Y = 7 means X divided by Y equals 7.
Question
In a word problem, the verb normally stands for the equal sign.
Question
Sonja plans to save 1 / 10 of her salary each week, which is $350.To solve this problem use:

A) division
B) subtraction
C) addition
D) multiplication
Question
Only numerals can be variables.
Question
In an equation, unknown quantities are called:

A) variables
B) constants
C) symbolic statements
D) fraction bars
Question
If a parenthetic expression is a part of an equation, you remove the parentheses by each term within the parentheses by the number to the left of the parentheses.

A) dividing
B) subtracting
C) adding
D) multiplying
Question
17 + 7 = C is a statement of equality.
Question
To isolate a variable, you perform the opposite mathematical operation of the given operation to both sides of the equation.
Question
In an equation, unknown quantities are called differences.
Question
What you do to one side of an equation, you must do to the other.
Question
When an equation contains addition, the variable can be isolated by performing the opposite process (subtraction).
Question
Known quantities in an equation are represented by letters.
Question
The first step in solving the equation 2B - 5 = 3 is to isolate 2B.
Question
In an equation, unknown quantities are represented by and known quantities by .

A) letters, numbers
B) variables, letters
C) letters, variables
D) numbers, integers
Question
When solving the equation 3(B - 2) = 9, first add 2 to each side of the equation.
Question
In solving the following equation 3A + 1 = 16:

A) multiply, then divide
B) add, then subtract
C) subtract, then divide
D) subtract, then multiply
Question
If an unknown is used in an equation and no coefficient is in front of a letter, it is understood to be a(n):

A) 0
B) unknown
C) 10
D) 1
Question
In word problems a multiplication sign is sometimes indicated by the word "of"
Question
In the problem statement "2 / 5 of the staff received a pay raise," the word "of" indicates the use of subtraction in calculating the solution.
Question
If there is no sign of operation between a number and a letter, a number and a parenthesis, or two letters, it means:

A) multiplication
B) division
C) subtraction
D) addition
Question
When solving an equation containing more than one operation or step, you first perform addition and multiplication.
Question
The product of the numerator of one fraction times the denominator of the other fraction of a proportion is called a:

A) ratio
B) cross product
C) proportion
D) equation
Question
If an equation indicates subtraction, you would perform addition to both sides of the equation to isolate the variable.
Question
Which word does not share the same meaning as the other three?

A) less
B) total
C) plus
D) sum
Question
Performing systematic operations so that the variable is alone on one side of an equation is known as:

A) offsetting the variable
B) a change to new variables
C) isolating the variable
D) an offset with new variables
Question
An equation is a mathematical expression of equality.
Question
When distributing 35 through the parenthetic expression 35(H - 8), only H is multiplied by 35.
Question
In solving the equation B / 6 = 35, you would divide both sides of the equation by 6.
Question
When solving an equation, you should attempt to isolate the unknown on the right side and the numbers / symbols on the left side.
Question
The specific order in which calculations must be performed to evaluate a series of calculations is referred to as:

A) the isolation of variables
B) multiple operations
C) the order of operations
D) orderly understanding of variables
Question
In an equation, variables are always represented by:

A) any letters may represent the variables
B) A, B, or C
C) X, Y, or Z
D) any numerals may represent the variables
Question
A hardware store spent $11,420 on print and TV advertising last year. If 35\frac { 3 } { 5 } of that amount was spent on print advertising, how much was spent on TV advertising?

A) $6852
B) $18,272
C) $11,420
D) $4568
Question
The variable A is the same as 1A or 1 times A.
Question
On a map, the length of a nature-center trail is 6.6 centimeters. If the scale is 3 centimeters to 43 kilometers, what is the actual length of the trail?

A) 94.6 km
B) 189.2 km
C) 98.6 km
D) 95.6 km
Question
If solving an equation with more than one operation, you must first:

A) add or divide
B) add or subtract
C) subtract or multiply
D) multiply or divide
Question
The number in front of a letter, as in 5A, is called a:

A) variable
B) unknown
C) decimal
D) coefficient
Question
In the problem statement "the difference between Y and 17 is 22," the word "difference" indicates:

A) multiplication
B) subtraction
C) addition
D) division
Question
To solve an equation means to find the:

A) parenthetic value
B) unknown amount
C) symbolic amount
D) known quantities
Question
Variables are always represented by the letters A, B, or C.
Question
In an equation, unknown quantities are represented by letters and known quantities by numbers.
Question
What you do to one side of an equation:

A) should be offset on the other side
B) will result in a change to new variables
C) you must do to the other
D) should be offset with new variables
Question
Enrique borrowed $3600 to put a down payment on a motorcycle. The loan had a simple interest rate of 8% for 2 years. Use the formula I = prt to find the amount of interest he will pay on the loan. I = interest; p = principal; r = rate (expressed as a decimal 0.08); t = time in years.

A) $576
B) $288
C) $4176
D) $2880
Question
If 7 sandwich rolls cost $1.12, how much will 21 rolls cost?

A) $9.84
B) $3.36
C) $4.36
D) $7.84
Question
Ted runs a shoe store. His gross sales for the week were $5100 and his returns were $1400. What were Ted's net sales? Use the formula G = N + R, where G is gross sales, N is net sales, and R is returns.

A) $5100
B) $1400
C) $3700
D) $3900
Question
A label printer prints 4 pages of labels in 1.5 seconds. How long will it take to print 136 pages of labels?

A) 53 sec
B) 54 sec
C) 51 sec
D) 55 sec
Question
At a garage sale, the most expensive item was marked $25.00 more than the cheapest item. The sum of the two items was $26.90. Find the cost of the least expensive item.

A) $1.90
B) $22.10
C) $3.80
D) $26.90
Question
If a computer prints 6.9 lines in 3 seconds, how many lines can it print per minute?

A) 138 lines
B) 138.5 lines
C) 139 lines
D) 139.5 lines
Question
At a movie theater, 24 more people attended the early show than the late show. There were 252 people who saw the movie that night. How many people attended the late show?

A) 114
B) 228
C) 138
D) 276
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Deck 5: Equations
1
In the equation X + 8 = 44, X is called the unknown.
True
2
When solving an equation with a parenthetic expression, the first step is to remove the parenthese? by multiplying each term within the parentheses by the number to the left of the parentheses.
True
3
There is only one method used to solve all word problems.
False
4
An equation is a statement that uses a division sign.
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5
When solving 7D + 4 = 60, you would first subtract 4 from both sides of the equation.
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k this deck
6
Mark's age five years ago could be written as M - 5.
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7
When writing an equation, unknown quantities are represented by:

A) parentheses
B) numbers
C) symbols
D) letters
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8
The term AB means to multiply A by B.
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9
The word "difference" in a problem generally means to use division to find the unknown value.
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10
Any statement that uses an equal sign is called a(n):

A) equation
B) variable
C) symbol
D) unknown quantity
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k this deck
11
Twice Kayla's age can be represented by 4K.
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12
If an equation indicates multiplication, you would perform subtraction to isolate the variable.
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13
A letter or symbol that represents one or more unknown values is a(n):

A) constant
B) equation
C) known
D) variable
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k this deck
14
The verb in a word problem connects the unknown quantity with the known quantity and stands for:

A) subtraction
B) multiplication
C) addition
D) equals
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k this deck
15
If more than one unknown occurs in a word problem, the same variable may be used for expressions that represent each unknown.
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k this deck
16
An equation is:

A) a mathematical expression of equality
B) a mathematical unknown
C) an expression of a mathematical inequality
D) a mathematical expression of constants
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Unlock for access to all 67 flashcards in this deck.
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k this deck
17
If an equation indicates addition in its presentation, in order to solve for the unknown you must:

A) subtract
B) divide
C) multiply
D) add
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k this deck
18
In an equation containing an addition and a multiplication operation, you should first undo addition and then undo multiplication.
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19
Most of the time that you see the word "of" in a word problem, you can assume the problem involves:

A) division
B) addition
C) multiplication
D) subtraction
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k this deck
20
The equation X / Y = 7 means X divided by Y equals 7.
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21
In a word problem, the verb normally stands for the equal sign.
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22
Sonja plans to save 1 / 10 of her salary each week, which is $350.To solve this problem use:

A) division
B) subtraction
C) addition
D) multiplication
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Unlock for access to all 67 flashcards in this deck.
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k this deck
23
Only numerals can be variables.
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24
In an equation, unknown quantities are called:

A) variables
B) constants
C) symbolic statements
D) fraction bars
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Unlock for access to all 67 flashcards in this deck.
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k this deck
25
If a parenthetic expression is a part of an equation, you remove the parentheses by each term within the parentheses by the number to the left of the parentheses.

A) dividing
B) subtracting
C) adding
D) multiplying
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26
17 + 7 = C is a statement of equality.
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27
To isolate a variable, you perform the opposite mathematical operation of the given operation to both sides of the equation.
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28
In an equation, unknown quantities are called differences.
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29
What you do to one side of an equation, you must do to the other.
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30
When an equation contains addition, the variable can be isolated by performing the opposite process (subtraction).
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31
Known quantities in an equation are represented by letters.
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32
The first step in solving the equation 2B - 5 = 3 is to isolate 2B.
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33
In an equation, unknown quantities are represented by and known quantities by .

A) letters, numbers
B) variables, letters
C) letters, variables
D) numbers, integers
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k this deck
34
When solving the equation 3(B - 2) = 9, first add 2 to each side of the equation.
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k this deck
35
In solving the following equation 3A + 1 = 16:

A) multiply, then divide
B) add, then subtract
C) subtract, then divide
D) subtract, then multiply
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k this deck
36
If an unknown is used in an equation and no coefficient is in front of a letter, it is understood to be a(n):

A) 0
B) unknown
C) 10
D) 1
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k this deck
37
In word problems a multiplication sign is sometimes indicated by the word "of"
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k this deck
38
In the problem statement "2 / 5 of the staff received a pay raise," the word "of" indicates the use of subtraction in calculating the solution.
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Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
39
If there is no sign of operation between a number and a letter, a number and a parenthesis, or two letters, it means:

A) multiplication
B) division
C) subtraction
D) addition
Unlock Deck
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Unlock Deck
k this deck
40
When solving an equation containing more than one operation or step, you first perform addition and multiplication.
Unlock Deck
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Unlock Deck
k this deck
41
The product of the numerator of one fraction times the denominator of the other fraction of a proportion is called a:

A) ratio
B) cross product
C) proportion
D) equation
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
42
If an equation indicates subtraction, you would perform addition to both sides of the equation to isolate the variable.
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k this deck
43
Which word does not share the same meaning as the other three?

A) less
B) total
C) plus
D) sum
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Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
44
Performing systematic operations so that the variable is alone on one side of an equation is known as:

A) offsetting the variable
B) a change to new variables
C) isolating the variable
D) an offset with new variables
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k this deck
45
An equation is a mathematical expression of equality.
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k this deck
46
When distributing 35 through the parenthetic expression 35(H - 8), only H is multiplied by 35.
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k this deck
47
In solving the equation B / 6 = 35, you would divide both sides of the equation by 6.
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k this deck
48
When solving an equation, you should attempt to isolate the unknown on the right side and the numbers / symbols on the left side.
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Unlock Deck
k this deck
49
The specific order in which calculations must be performed to evaluate a series of calculations is referred to as:

A) the isolation of variables
B) multiple operations
C) the order of operations
D) orderly understanding of variables
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
50
In an equation, variables are always represented by:

A) any letters may represent the variables
B) A, B, or C
C) X, Y, or Z
D) any numerals may represent the variables
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Unlock Deck
k this deck
51
A hardware store spent $11,420 on print and TV advertising last year. If 35\frac { 3 } { 5 } of that amount was spent on print advertising, how much was spent on TV advertising?

A) $6852
B) $18,272
C) $11,420
D) $4568
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
52
The variable A is the same as 1A or 1 times A.
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53
On a map, the length of a nature-center trail is 6.6 centimeters. If the scale is 3 centimeters to 43 kilometers, what is the actual length of the trail?

A) 94.6 km
B) 189.2 km
C) 98.6 km
D) 95.6 km
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Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
54
If solving an equation with more than one operation, you must first:

A) add or divide
B) add or subtract
C) subtract or multiply
D) multiply or divide
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
55
The number in front of a letter, as in 5A, is called a:

A) variable
B) unknown
C) decimal
D) coefficient
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
56
In the problem statement "the difference between Y and 17 is 22," the word "difference" indicates:

A) multiplication
B) subtraction
C) addition
D) division
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
57
To solve an equation means to find the:

A) parenthetic value
B) unknown amount
C) symbolic amount
D) known quantities
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
58
Variables are always represented by the letters A, B, or C.
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k this deck
59
In an equation, unknown quantities are represented by letters and known quantities by numbers.
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
60
What you do to one side of an equation:

A) should be offset on the other side
B) will result in a change to new variables
C) you must do to the other
D) should be offset with new variables
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
61
Enrique borrowed $3600 to put a down payment on a motorcycle. The loan had a simple interest rate of 8% for 2 years. Use the formula I = prt to find the amount of interest he will pay on the loan. I = interest; p = principal; r = rate (expressed as a decimal 0.08); t = time in years.

A) $576
B) $288
C) $4176
D) $2880
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
62
If 7 sandwich rolls cost $1.12, how much will 21 rolls cost?

A) $9.84
B) $3.36
C) $4.36
D) $7.84
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
63
Ted runs a shoe store. His gross sales for the week were $5100 and his returns were $1400. What were Ted's net sales? Use the formula G = N + R, where G is gross sales, N is net sales, and R is returns.

A) $5100
B) $1400
C) $3700
D) $3900
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
64
A label printer prints 4 pages of labels in 1.5 seconds. How long will it take to print 136 pages of labels?

A) 53 sec
B) 54 sec
C) 51 sec
D) 55 sec
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Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
65
At a garage sale, the most expensive item was marked $25.00 more than the cheapest item. The sum of the two items was $26.90. Find the cost of the least expensive item.

A) $1.90
B) $22.10
C) $3.80
D) $26.90
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
66
If a computer prints 6.9 lines in 3 seconds, how many lines can it print per minute?

A) 138 lines
B) 138.5 lines
C) 139 lines
D) 139.5 lines
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
67
At a movie theater, 24 more people attended the early show than the late show. There were 252 people who saw the movie that night. How many people attended the late show?

A) 114
B) 228
C) 138
D) 276
Unlock Deck
Unlock for access to all 67 flashcards in this deck.
Unlock Deck
k this deck
locked card icon
Unlock Deck
Unlock for access to all 67 flashcards in this deck.