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Algebraic Expressions and Substitution
Algebraic Expressions and Substitution
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Answers
1
Evaluate 2+3x when x=10
15
50
23
32
2
Evaluate 6X when X = 3
9
18
3
6
3
What is the solution to the following equation: 49 = 5x + 4
x = 45
x = 8
x = 10
x = 9
4
Evaluate 6+2y when y=3
24
11
29
12
5
h
/ 7 = 8
h= 56
h= 8
h= 6
h= 392
6
Which expression is equivalent to:
4x + 12
?
4(x + 3)
x(4 + 12)
16x
4(x + 12)
7
What is the difference between an expression and an equation?
Nothing they are the same
An equation has an equal sign
An expression has an equal sign
8
t+5=19
24
19
14
13
9
x-3=7
4
10
-10
-4
10
What two step are done to solve this equation?
Multiply by 3 then add 5.
Subtract 5 then divide by 3.
Subtract 5 and subtract 3
Divide by 3 and subtract 5
11
What step is needed to correctly substitue an equation?
All of the above
Use PEMDAS
Locate Variables
Substitute Variables
12
Evaluate 3(x - 5) when x = 10
15
25
30
13
Solve the equation.
10
- 6
4
16
14
Which equation is equivalent to "
15 less than n is 24
?"
n = 15 - 24
n - 15 = 24
15 + n = 24
15 - n = 24
15
Evaluate 4 + Y when y = 11
7
15
4
11
16
Evaluate 0.3n when n = 8
0.24
24
2.4
17
Algebraic expressions DO NOT contain...
feelings
numbers
variables
symbols
18
You have more time for this one! Evaluate 7(4n+2)-8 when n=1
38
42
28
34
19
The first step in 2-step equations is to undo any __________ or __________.
negatives (or) positives
addition (or) subtraction
multiplication (or) subtraction
multiplication (or) division
20
Evaluate 28/m when m = 4
32
7
24
21
Which expression means the same as 5 less than 4 times y?
5y - 4
4 - 5y
4y - 5
5 - 4y
22
2y+9y=22
y=2
y=4
y=11
y=22/7
23
Solve the equation.
8
-32
32
-8
24
Equivalent Expressions are ____
Different
the Same
Opposites
25
Solve the equation.
30
20
15
-15
26
Solve this equation:
36
42
15
4
27
3y=7+14
y=14
y=3
y=21
y=7
28
Use substitution:
43
54
23
13
29
Algebraic expressions contain...
feelings
letters, symbols, numbers
shapes
30
When solving equations, you must isolate the variable on one side by using the _____ operation.
any
same
reciprocal
inverse
31
When I am using
substitut
ion to evaluate an expression, ...
I am replacing the variable(s) with different variable(s)
I am replacing the variable(s) with the given value of the variable(s)
32
Solve the equation.
-9
18
0
33
The two expressions are equivalent when y = 3?
True
False
34
Evaluate 45-3n when n=5
30
15
18
25
35
Evaluate 1/3x when x=24
8
3/24
3
1/8
36
What is the mathematical process used to solve equations? (hint: Undo, to isolate the variable)
Inverse Operation
Opposites Attract
Surgical Operation
Erase It
37
Evaluate 3n-12 when n=5
5
6
4
3
38
What is the BIGGEST difference between expressions and equations?
You have to be told what the variable equals with equations.
They are spelled differently.
Equations have equal signs.
Equations have multiple answers, expressions don't.
39
Evaluate 28/y when y=4
4
6
8
7
40
Evaluate x
2
- (4 + x) when x = 7
17
52
3
38
41
Solve the equation.
n = 90
n = 15/6
n = -6
n = 34
42
Solve the equation:
20
-4
-20
4
43
Which pair of expressions are equivalent?
2(8x + 12) and 8(2x + 3)
8(2x + 3) and 4(4x + 24)
2(8x + 24) and 4(4x + 24)
4(4x + 6) and 8(2x + 24)
44
Evaluate 5x + 4 when x = 2
30
14
11
56
45
Evaluate the following expressions by using substitution.
1
7
4
2
46
Solve the equation.
-32
-12
2
-2
47
2y+3y=10
y=5
y=3
y=2
y=10
48
What is the volume of a cube if the length of a side,
s
, is 10 ft. Use
V=s
3.
10 cubic feet
100 cubic feet
30 cubic feet
1,000 cubic feet
49
Use substitution to evaluate.
4
-5
-9
8
50
Which expression is equivalent to 2(x + 7)?
2x + 7
2x + 14
x2 + 49
2x + 9
51
What is substitution?
Coefficient
Replacing the operation sign with another sign
Replacing a variable with a number
Solving numerical equations
52
2) Which pair of expressions is
equivalent (=)
4(6x) and 10x
4x + 6x and 10x2
4(6x) and 24x
4x + 6x and 24x
53
Evaluate the following expression by using substitution.
12
3
4
9
54
Evaluate 6y - 6 when y = 9
18
9
48
55
What does an equation have in it that an expression does not?
variable x for example
+,-,x,/ signs
= sign
>, or < sign
56
5x
-
4x
+
3x = 20
x= 4
x=5
x= 20/12
x=2
57
Are the following expressions equivalent?
IDK
Maybe
No
Yes
58
h
x 7 = 56
8
56
6
392
59
2³ =
9
6
8
5
60
The goal of solving a one, two, or multi-step equations is to:
Guess and check
Find the value of the variable
Find the constant
Find the constant
61
21x
-
20x = 4
x=4
x=4 20/21
x=20
x=21
62
You have more time for this one! Evaluate 7(4n+2)-8 when n=2
70
68
34
62
63
Solve for the following one step equation.
7
-1
3/4
12
64
Evaluate the expression using substitution.
98
10
18
2
65
You can use the order of operations to evaluate the expressions
False
True
66
Evaluate X - 8 when X = 25
25
33
17
8
67
Evaluate m
3
when m = 1/5
1/15
3/125
125
1/125
68
Evaluate 5+35/x when x=5
15
8
12
40
69
Evaluate ab - b when a = 2, b = 3
4
20
3
6
70
Evaluate y
2
- 2y when y =7
22
0
5
35
71
Evaluate 2x+3+x when x=4
15
24
14
20
72
The product of R and 9 is 27 what is the value of R?
6
3
36
18
73
Use substitution:
23
13
43
54
74
Evaluate 4.7 - p when p = 2.3
10
2.4
7.0
2.3
75
How many inches are in 6 feet? Use the expression
12f
where
f
represents the number of feet.
8
2
18
72
76
Evaluate the expression using substitution.
12
43
80
15
77
Evaluate 3/4x + 6 when x=32
30
32/4
14
6/8
78
Two-step Equations : 2x+12=4
-24
-4
24
4
79
If
x = 2, y = 3 and z = 1,
what does x + 3y - 2z equal?
8
0
9
11
80
A rectangle has area of 24 centimeters and width 4 centimeters: Which equation shows length
L
?
L=24x4
24x4=L
Lx4=24
24=height x 4
81
a = 7, b = 4, c = 1
36
63
17
44
82
What is the coefficient in the following expression:
8y + 17
8
17
8y
8y + 17
83
Solve the equation.
20
-10
10
-20
84
To check to see if a solution for an equation is correct we use what?
PEMDAS
Substitution
Inverse Operations
Property of Equality
85
Evaluate x+x+4x when x=3
50
18
13
12
86
Evaluate 3n-12 when n=10
28
8
22
18
87
What does it mean to be HMS?
Highly Motivated, Model Responsibility, Show Respect
Hugging Middle Schoolers
Hyper, Mindless, Slackers
Helpful, Mindful, Supportive
88
Which of the following is a one step equation?
-3
2x-5=19
4x=20
x
89
Evaluate 5n-4 when n=7
32
24
31
18
90
Evaluate 6y - 3 when y = 7
45
42
24
39
91
Evaluate 45-3n when n=10
15
12
30
20
92
23) Which two expressions are equivalent of any value of y?
3(3y + 3) and 6y + 6
3(3y + 3) and 9y + 6
9(y + 3) and 12 + 9y
9(y + 3) and 27 + 9y
93
Evaluate the expression using substitution.
22
31
14
39
