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WorksheetsUnit 11 Review
Total questions: 177
Worksheet time: 4hrs 54mins
Click on the name of the red part of the algebraic expression:
42 + 2x -7
coefficient
variable
base
power
Click on the name of the red part of the algebraic expression:
4 (x-2) -12
constant
variable
coefficient
exponent
Click on the name of the red part of the algebraic expression:
42 + 2x -7
variable
constant
base
coefficient
Click on the name of the red part of the algebraic expression:
42 + 2x -7
power
base
coefficient
variable
Click on the name of the red part of the algebraic expression:
42 + 2x -7
constant
variable
coefficient
term
How many terms are in this expression?
42 + 2x -7
1
2
3
4
Select the expression
2x + 3 = 8
2 + 3 = 5
x + 4 = 7
x + 14 - 32
Select the expression that is numeric
100 - 122 + 5
2z - 4
14 - w
2s + 22
Select the expression that is algebraic
6 + 14 - 2
27 = 12 + 5x
93 - p
100 - 52
How many variable terms are in the expression:
12 + 2n - 3n
1
2
3
4
A (a) is a number that is used as a factor when that number is raised to a power.
What is a coefficient in an algebraic expression?
A number that indicates how many times the base is used as a factor
A number whose value does not change
A number that is multiplied by the variable
A letter or symbol used to represent a quantity that can change
A (a) is a number in an expression whose value does not change.
What are equivalent expressions?
Expressions with different variables raised to different exponents
Expressions with different values for all values of the variable
Expressions with the same value for all values of the variable
Expressions that contain only numbers and operations
What does it mean to evaluate an expression?
To find the value of a numerical or algebraic expression
To simplify an expression by combining like terms
To find the coefficient of a variable in an expression
To find the base of an expression
What is an exponent in algebraic expressions?
A number that indicates how many times the base is used as a factor
A number that is used as a factor
A letter or symbol used to represent a quantity that can change
A number whose value does not change
What are like terms in algebraic expressions?
Terms with different variables raised to different exponents
Terms with the same variables raised to the same exponents
Terms with different values for all values of the variable
Terms with different coefficients
What is a numerical expression?
An expression with different variables raised to different exponents
An expression with different values for all values of the variable
An expression that contains only numbers and operations
An expression that contains at least one variable
What is a term in algebraic expressions?
The number that is multiplied by the variable in an algebraic expression
The parts of an expression that are added or subtracted
A number whose value does not change
A number that indicates how many times the base is used as a factor
A (a) is a letter or symbol used to represent a quantity that can change.
An (a) is an expression that contains at least one variable.
Match the following
algebraic expression
has at least one variable
coefficient
multiplied by the variable
constant
value does not change
evaluate
find the answer to
like terms
same variable and exponent
Match the following
term
parts of an expression
variable
a letter used to represent a number
numerical expression
contains only numbers and operations
exponent
tells how many bases to multiply
equivalent expressions
expressions with the same value
An expression that contains at least one variable (a)
When a number is raised to a power, the number that is used as a factor (b)
The number that is multiplied by the variable in an algebraic expression (c)
A number whose value does not change (d)
An expression that contains only numbers and operations (e)
an expression that contains at least one variable
(a)
when a number is raised to a power, the number that is used as the factor
(a)
the number that is multiplied by a variable
(a)
a number whose value does not change
(a)
expressions with the same value for all values of the variable
(a)
find the answer to
(a)
the number that indicates how many times the base is used as a factor
(a)
terms that have the same variable raised to the same exponent
(a)
an expression that contains numbers and operations
(a)
each part of an expression that is separated by addition or subtraction
(a)
a letter used to represent a quantity that can change
(a)
3x + 7 - 9x + 24y + 2x2
5a + 2b - 3a + 4
-7y+63
5a + 2b - 3a + 4
4r+2-6+2r
2 and 6
2 and -6
u3and u2 are like terms.
3w + 2w - (-7w)
5x - 9
Simplify: x + 3x + 6x + x
9x
11x
2x + 9x
Can't be simplified
Simplify: 7t - 3t + t - 3t
2t
8t - 6t
14t
Can't be simplified
Simplify: 4q + 4t + 3q + t
12tq
3q + 4t
7q + 5t
Can't be simplified
Simplify: 4k + 6k - 3k + 3s - s
13k + 3s
7k + 2s
7k + 4s
Can't be simplified
Simplify: 10d - 3d + 2e + 4d
11d + 2e
17d + 2e
19de
Can't be simplified
Simplify: 8q + 3q - 6t + 2q - 4q
3qt
11q - 6t - 2q
9q -6t
Can't be simplified
Simplify: 7y2 −5y + 9y − 5y2
6y2
2y2 + 4y
12y2 + 14y
Can't be simplified
Simplify: 10w + 3d + 3w + d
13w + 4d
17wd
13w + 3d
Can't be simplified
Simplify: 12b + 4b2 - 10b
4b2 + 2b
4b2 + 22b
6b2
Can't be simplified
Simplify: 5e + 7e - 10e + 9 e
31e
21e - 10e
11e
Can't be simplified
Simplify: 7j + 3k + 10j - k
3j + 4k
17j + 2k
19jk
Can't be simplified
Simplify: m + m + m + m
4m
m4
m
Can't be simplified
Simplify: 4f2 + 3h - g + f
5f2 + 3h - g
7fhg
4f2 + 3hgf
Can't be simplified
Simplify: 23s + 23d + 4s - 4d
27s + 19d
19s + 27d
27s + 27d
Can't be simplified
Simplify: 5p + 7y + 2t - 3p + 4y
15pyt
2p + 11y + 2t
8p + 11y + 2t
Can't be simplified
2x + 9 + 7x?
3x + 7 - 9x + 24y + 2x2
v + v + v + v + v?
d + d + d + 3 + 2
4x2 - 3x + 11 -2x
4x2 – 2x2 + 2y + 6y2 – y + x2
Simplify by combining like terms:
3x-5x
2x
8x
-2x
15x2
Simplify by combining like terms:
-6k + 7k
k
-k
12k
-12k
Simplify by combining like terms:
-r -10r
11r
-11r
9r
-11
5a + 2b - 3a + 4
3x + 2x + 3y - 7y
j40 when j=10
30
4
50
100
7 + g when g=5
12
10
2
35
20 - a when a=6
60
26
14
61
TRUE or FALSE?
60 - a = 30 when a=30
True
False
r + 17 when r=12
204
30
5
29
6b when b=5
30
11
1
16
b12 when b=4
3
16
8
50
TRUE or FALSE?
8h = 64 when h=7
True
False
5 + b when b=2
3
7
10
3
6 ÷ b when b=2
8
3
4
10
what does the S mean in SPEMDAS
Parenthesis
Multiply
Exponents
Substitute
10g when g=5
5
15
50
55
25 - v when v=3
28
22
75
18
100 - r when r=45
55
145
4,500
600
50x when x=5
55
45
250
100
j40 when j=10
30
4
50
100
7 + g when g=5
12
10
2
35
20 - a when a=6
60
26
14
61
TRUE or FALSE?
60 - a = 30 when a=30
True
False
r + 17 when r=12
204
30
5
29
6b when b=5
30
11
1
16
b12 when b=4
3
16
8
50
TRUE or FALSE?
8h = 64 when h=7
True
False
10g when g=5
5
15
50
55
50x when x=5
55
45
250
100
Review Check:
Evaluate the following when x=2 and y=3
x3+2y−3
11
9
28
If p=3 and q=2, evaluate the expression
p + 5 - q
4
3
6
8
When you replace a variable with the number it represents, you are using _____.
substitution
variable
algebraic expression
solutions
p(m+2); use m=1 and p=5
11
15
14
18
x+2y; use x=4 and y=3
8
7
10
16
y+x-x, use x=1 and y=1
6
1
2
3
5yz; use y=5 and z=2
50
48
54
47
y−x÷6 use x=4 and y=10
10
4
6
1
m-n-n; use m=4 and n=1
8
2
4
1
x+y÷4 use x=4 and y=4
2
5
10
11
p+q÷6 use p=4 and q=6
5
8
0
9
y-(x-y); use x=5 and y=3
2
5
6
1
x(y-x); use x=2 and y=6
10
6
8
2
hj÷5 ; use h=5 and j=5
10
6
5
0
2+qp; use p=4 and q=3
14
8
16`
10
6-(x-y); use x=1 and y=1
0
1
6
7
2(z+y); use y=4 and z=1
9
10
13
15
h+jh; use h=6 and j=5
36
37
31
39
(x−y)2 use x=2 and y=1
3
1
6
0
5(y+x); use x=5 and y=4
49
46
45
50
y+x+z; use x=6 , y=4 and z=-2
8
11
16
14
(a−b)3 where a=5 and b=-1
216
52
34
0
P+m+p; use m=-10 and p=-2
-14
14
15
16
The bowling alley charges $2.50 for shoe
rental and $6 per game. a. Write an expression that can be used to find the cost to bowl any number of games
and rent a pair of bowling shoes.
6x+2.50y
6x+2.50
2.50+6y
2.50+6
Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h+30w
where h is the number of hours worked and w is the number of wagons sold.
What is the amount paid to an employee that works 6
hours and sells 3 wagons?
0
162
264
9
The expression 20l + 25g - 10
20l+25g−10 gives the number of dollars that Josie makes from mowing lawns and raking gardens.
How many dollars does Josie make from raking 4 gardens and mowing 3 lawns?
25
10
150
250
14 decreased by a number
The quotient of 15 and a number plus 1
15 / g - 1
15 / g + 1
g / 15 + 1
g + 1 / 15
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
three times a number plus 16
Seven subtracted from n is 18
Four more than six times a number is 18.
x - 5 = 12 into words?
"difference of"
ADD
SUBTRACT
MULTIPLY
DIVIDE
The product of seven and j
7j
j+7
j-7
7j
the difference of 3 times a number and 7
3 - 7n
3n - 7
3n + 7
3÷7n
The difference of a number and 8
8 - n
8n
n - 8
8 x n
Three more than a number.
x + n
x + 3
3 + x
3n
The quotient of a number and 15
15 x n
n + 15
15 - n
15n
The product of 12 and a number k
Select all correct expressions
12 x k
k - 12
12k
12(k)
15 less than a number x
15 - x
x + 15
15 + x
x - 15
A number d decreased by 9
9 - d
d - 9
9d
d - 8
A number h increased by 12
12h
12 + h
h - 12
h + 12
The sum of x and 15
x + 15
15x
15 - x
15÷x
12 times the sum of a and b
a + b - 12
12 x a = b
12(a+b)
12 x a - b
