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Variables, Expressions and Equations
98n (7+4r)
Give the expression in words: 3x + 5
Variables, Expressions and Equations
112 terms
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Use variables to represent unknown quantities
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Answers
1
Give the expression in words: 3x + 5
A number increased by five
Five greater than a number
The sum of five plus three times x
Five greater than three times a number
2
98n (7+4r)
Product of two terms
Sum of two terms
Quotient of two terms
Difference of two terms
3
Twenty, added to three times a number c
(3c / 20)
3c+(20)
3c - 20
3c + 20
4
Ten less than eight times a number v
8 v - 10
8v - 10
8v (-10)
8v + 10
5
Solve the following expression: 3(z) - 3 when y is 1, 2, 3, 4 and 5
2, 3, 8, 9, 16
0, 3, 6, 9, 12
4, 3, 6, 9, 14
2, 2, 6, 9, 14
6
If pencils cost 20₵ each and pens cost 30₵ each, find the cost of the following: 10 pencils
10 pencils cost $4.00
10 pencils cost $6.00
10 pencils cost $8.00
10 pencils cost $2.00
7
The square root of one hundred and twenty five
√155
125 x 1
√125
125 / 2
8
Give the expression in symbols: One less than twice a number is seventeen
2X -5 = 17
2x -1 = 17
2X + 8 = 17
2x+2 =17
9
Twelve multiplied by a number x
12(x)
12(+x)
12⋅x
12x
10
Solve the following expression: 3(r) + 2 when y is 1, 2, 3, 4 and 5
5, 8, 11, 14, 17
7, 8, 11, 14, 19
7, 8, 11, 14, 21
5, 8, 11, 14, 19
11
Fifteen divided by three.
a.(15 - 3)
15∕3
Both b&c
a.15 / 3
12
Give the expression in words: X - 80
Eighty less than a number
The sum of twice a number and eighty
The sum of eighty plus x
A number increased by eighty
13
Give the expression in words: x + 12
A number increased by twelve
The sum of 12 plus x
12 plus a number
The sum twice a number and 12
14
The product of five and a number t
5t
5(t)
5 x t
5⋅t
15
A numerical expression contains numbers and ____________ symbols
equation
solution
operation
evaluation
16
A ________ is a mathematical phrase involving numbers and operation symbols, but no variables.
numerical quantity
numerical variable
numerical expression
numerical equation
17
The square root of one hundred and twenty five
√155
√125
125 x 1
125/2
18
Give the expression in symbols: Half of a number is twenty
1/2X + 8 = 20
1/2x = 20
2x/2 =20
2X -5 = 20
19
A number b divided by two
b/2 or b÷2
a.b + 2
a.(b + 2)2
a.(b+4)3
20
Algebra uses _______or ________ to represent quantities that are unknown or that vary.
Both And B are correct
symbols
variable expression
variables
21
A number p plus eight-hundred and thirteen
813 - p
p + 813
p + 813
(Z+4)
22
To determine whether an equation is true, simplify both ____________?
The left and right sides of the variable.
The left and right sides of the expression.
The left and right sides of the equation.
The left and right sides of the fraction.
23
To identify values that give a true equation when substituted, you can use trial & error or ___
check and balance
guess and simplify
guess and balance
guess and check
24
An algebraic expression is formed by combining #'s and _____ with (+),(-),(x),(
÷
),(
√
) & (Pw).
values
operations
variables
quantities
25
The difference, raised to the fifth power, between 125 and 87.
(125 + 87)3
(125 – 87)3
(125 – 87)5
(125 + 87) - 5
26
Some quantities remain constant. Others change, or vary, and are called _____________.
constant qualities
variable quantities
variable qualities
constant quantities
27
Solve the following expression: 5(c) + 7 when c is 1, 2, 3, and 4.
12, 19, 20, 29
12, 17, 22, 27
10, 17, 20, 27
10, 19, 20, 29
28
19y(7)
There are 2 terms
There are 5 terms
There are 9 terms
There are 3 terms
29
Give the expression in words: x -7 = -3
The difference between a seven and a number is minus three
The number seven and a number is equal to negative three
a.The difference between negative seven is minus three
The difference between a number and seven is negative three
30
To evaluate an expression with more than one ________, use order of operations.
variable
number
Operation
symbol
31
Forty multiplied by three, decreased by fifteen
Both, A & B
40 + 3 -15
40 x 3 -15
40(3) - 15
32
Replacing h with 5 and evaluating the expression to find the cost of an item is known as what?
Values of Equations
Values of Numbers
Values of Variables
Values of Expressions
33
The product of twelve and seven
12(7) or 12⋅7
12 x 7
Both, A & B
(12⋅7)
34
What is an algebraic expression for the word phrase the quotient of a number n and 5?
n ÷ 5, n/5
5 x n
5/n
5 ÷ n
35
Solve the following expression: 5y when y is 1, 2, 3, 4 and 5
10, 15, 20, 25, 35
25, 20, 15, 10, 5
5, 10, 15, 20, 25
10, 25, 20, 15, 45
36
The product of a number z and fifteen, to the fourth power
15z - 4
15z + 4
(15z)4
15z+4
37
Give the expression in symbols: Three times the total of a number and five
3X / 5
3X - 5
3(x+5)
3X + 5
38
The result of subtracting 12 from a number y
Z + 40
X + 23
12 + 40
(Z+4)3
39
When two ____________ represent the same quantity, an equation can be written.
Equations
Equal signs
Expressions
Distances
40
If one side of an equation has the same value as other side, the equation is said to be true __
Solutions to Equations
Solutions to Variables
Solutions to Expressions
Solutions to Numbers
41
(43 -18) (t + s
Quotient of two terms
Difference of two terms
Sum of two terms
Product of two terms
42
The product of five and nine, cubed
(9 X 5)3
9 x 5 (3)
9(5) or 9⋅5
(9⋅5) x 3
43
To evaluate a numerical expression means to perform the operations shown to obtain a single ___
Numerical Value
Numerical Variable
Numerical equation
Numerical Expression
44
Give the expression in symbols: A number plus two is eight
2X plus 8
X+2 =8
8(x+2)
2X + 8
45
Use guess-and-check to solve the following equation: 21(x) - 17 = 193
x = 10
x = 8
x = 16
x = 12
46
Ten less than eight times a number v
8v - 10
8v + (-10)
8 v - 10
8v + 10
47
Use guess-and-check to solve the following equation: 3(s) + 2 = 53
s = 13
s = 15
s = 17
s = 19
48
Six times the difference of 124 and a number w
12÷4(-W)
6(124 – W)
6w - 124
6+124 - W
49
Twenty-eight more than eleven times six
11/60 or 28÷11
11 x 6 + 28
(11/6)3
(11/6) x 28
50
Solve the following expression: 9(g) - 4 when g is 1, 2, 3, 4 and 5
7, 14, 25, 32, 43
7, 14, 23, 32, 43
7, 14, 23, 32, 45
5, 14, 23, 32, 41
51
Solve the following expression: 3n when n is 1, 2, 3, 4 and 5
5, 6, 9, 12, 20
3, 6, 9, 12, 15
5, 6, 9, 12, 20
3, 6, 10, 12, 15
52
Give the expression in symbols: The product of a number and seven.
X / 7
7x
. X - 7
7 plus x
53
A number f multiplied by five, decreased by two
94 - W
5f + 2
5f - 2
5f⋅(-2)
54
The difference between nineteen and three.
19 – 3
19 + 3
3 – 19
19 / 3
55
The cost of renting a bike can be written as an algebraic expression: ______________________
8 + 3(h) =
8 + 3(h)
8 + 3h
8 + 3h = 64
56
45/5
There are 5 terms
There are 6 terms
There are 2 terms
There are 1 terms
57
For example, in the equation 2h = 15, 7.5 is a solution.
True
False
58
What is an algebraic expression for the word phrase 58 less a number n?
58 - n
58 - n - 58
n - 58
- 58 + n
59
The sum of a number x and twenty-three
X + 23
(15/5)3
23 - X
12 + 25
60
A number d cubed, less two
3d⋅(-2)
3d + 2
3d3 - 2
3d3 - W
61
You can also solve a problem by using a calculator to model or _____ the problem situation.
relate
simulate
count
repeat
62
One half of six
½(6) or ½×6
a.(6 - 12)
√6
94+52
63
Forty Squared.
402
√40
a.40 / 2
a.40 + 2
64
An algebraic expression is a mathematical phrase that includes one or more _________.
equations
solutions
numbers
variables
65
Eight times the squared sum of 512 and a number z
8 + 512+z
8(512 + z)2
8⋅(512 -z)
3d3 - W
66
An example of equation is: __________
4 + 2h = 10
4 + 2h
4 + 2h > 0
8 + 5(h) = 20
67
What is an algebraic expression for 18 more than a number g?
18 + g
g + 18
18 - g + 18
g + 18 - g
68
Give the expression in symbols: Twenty-eight split in half.
28 + 2
28 / 2
28 - 2
28 X 2
69
If the substitution gives your a false equation, then the value you substitute is a solution.
False
True
70
The sum of twelve and sixteen, cubed.
12 – 163
(12 – 16)3
(12 + 16)3
12 + 16 - 3
71
If pencils cost 20₵ each and pens cost 30₵ each, find the cost of the following: r pens
r pens cost $0.20r
r pens cost $20.00
r pens cost $30.00
r pens cost $0.30r
72
What is an algebraic expression for the word phrase n+ 32?
32 more than a number n
n more than a number 32
32 plus a number n
Both answer 2 and answer 3 are correct
73
The sum of fifty-six and a number r, squared
r + 56
(Z+4)3
(56+r) - r
(56+r)2
74
Give the expression in symbols: A number distributed evenly among six
X / 6
X - 6
X + 6
6 plus x
75
Solve the following expression: 2(f) - 1 when f is 1, 2, 3, 4 and 5
1, 3, 5, 7, 9
2, 3, 6, 7, 10
1, 3, 5, 7, 9, 13
1, 3, 5, 7, 9, 11
76
Twenty-six added to fifty-four
54 +26
26 + 54
54 – 26
54 / 26
77
Fourteen minus a number K
K + 14
3⋅(164–112)
3X(164 - 112)2
14 - K
78
Give the expression in words: 40 + x
The total of forty and a number
Forty plus x
a.The sum of forty and twice times x
Forty increased by a number
79
VARIABLES are _______ that are used to represent quantities in algebra.
Letters
Operations
Numbers
Expressions
80
The difference when a number w is subtracted from 94
K + 14
94(1- W)
94 - W
W⋅(-94)
81
Twice the difference of a number m and six
m⋅(-6)
6m - 2
2(m-6)
2x6 - m
82
A number z increased by 40
(Z+4)3
X + 23
12 + 40
Z + 40
83
Give the expression in symbols: Twenty-eight split in half.
28 + 2
28 - 2
28 X 2
28 / 2
84
The quotient of a six hundred & forty and twenty
640/20 or 640 x 20
640/203
(640/20) x 20
640/20 or 640÷20
85
7x+37
There are 2 terms
There are 3 terms
There are 4 terms
There are 7 terms
86
Four Squared less nine
√16-9
4-3+9
4(3)-9
42-9
87
Seventy-five decreased by thirty-two.
75 - 32
32 – 75
75 / 32
75 X 32
88
What is an algebraic expression for the word phrase 8 times a number n?
n 8 n, n • n, 8 n 8
8 X n, 8 • n, 8n
n 8 n, 8 • n, 8 n 8
8 X n, 8 • n, 8 n 8
89
Give the expression in words: 12 = 3x
The number twelve and a number is equal to three plus x
a.Twelve is equal to three and x
Twelve is the product of a number and three
The number is 12 equals to three and a number
90
7z(4y+3)
Sum of two terms
Product of two terms
Quotient of two terms
Difference to two terms
91
Give the expression in words: x = -10
a.The sum of ten and a number
A number is negative ten
A number minus ten
Ten is negative a number
92
45b + (16c – a)
Sum of two terms
Difference to two terms
Product of two terms
Quotient of two terms
93
46+37-2
There are 4 terms
There are 6 terms
There are 2 terms
There are 3 terms
94
The solutions to an equation are all values of the variables that give a true equation.
False
True
95
A perfect example of variable is: __________.
2
10
h
ah
96
Give the expression in words: x = 2x + (-3)
A number is the product of two and a number plus three
A number is equal to the sum of twice the number and -3
The number two and a number is equal to three plus x
a.A number of x is equal to the product of negative 3
97
For example, the letter "h" can be used to represent the number of hours a bike will be rented.
False
True
98
A variable is a _______, usually a letter, that represents the value(s) of a variable quantity.
symbol
substance
numerical value
term
99
If an equation has a variable in it, you can never, ever substitute a value for the variable.
True
False
100
One half of a number y
1/2 (-y)
1/2 - y
1/2(y)
1/2y
101
Find the solution to the equation: 2h = 10
5
2
3
7.5
102
Use guess-and-check to solve the following equation: 19(x) + 13 = 51
x = - 2
x = 2
x = - 3
x = 5
103
A mathematical __________ is anything that can be measured or counted.
quantity
variable
expression
quality
104
Give the expression in symbols: Three less than a number. A number less than 3
3 + X. X-3
3X-X. X-3X
3-X. X-3
X-3. 3-X
105
Fifty-two subtracted from ninety-four
(52 - 94)
52 + 94
94 - 52
94 + 52
106
Two thirds of the sum nineteen and four
(6 - 12)
94 + 52
√6
2∕3 (19+4)
107
Use guess-and-check to solve the following equation: 7(x) - 12 = 44
x = 6
x = 8
x = 12
x = 10
108
Two algebraic expressions separated by an equal sign form an ___________
Equation
Variable
Whole Number
Expression
109
A number d cubed, less two
3d3 - W
3d + 2
3d3 - 2
3d(-2)
110
24
2
+ 16 - 23 + 8
There are 2 terms
There are 8 terms
There are 4 terms
There are 3 terms
111
Give the expression in words: x + 12
The sum of 12 plus x
The sum twice a number and 12
A number increased by twelve
12 plus a number
112
The quotient of a number n and twenty
n+(20)
n/20
(n/20)
n+20
