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You will be able to:
Solve One Step Equations
Solving Equations:
1. _________________________________
2. _________________________________
When solving, use PEMDAS backwards
Get variable alone by using opposite operations
Opposite of is Addition _____________________
Subtraction _____________________
Multiplication _____________________
Division _____________________
subtraction
addition
division
multiplication
a. 7 4x
Using the properties of equality, solve the equation.
Example 1: Solve using the property of subtraction.
–7–7
x = –3
b. 3 8n –3–3
n = 5
c. 0.67 0.85x –0.67–0.67
x =
71
81.0
d. 15 4w –4–4
–19 = w
Example 2: Solve using the property of addition.
a. 12 3x +12+12
x = 15
b. 5 11q +11+11
6 = q
c. 2 6t +2+2
t = –4
d. 4.8 3.6a +4.8+4.8
a = 1.2
Example 3: Solve using the property of division.
a. 6 48x 6
x = -8
6
b. 3 21x -3
x = -7
-3
c. 28 4x-4
-7 = x
-4
d. 8 6a 8
a = -68
8
=-34a
Example 4: Solve using the property of multiplication (fraction bust).
a. 54
x(4)
x = 20
(4)
b. 0.93
t
(-3)
t = -2.7
(-3)
c. 142
y (-2)
-28= y
(-2)
d. 105
k (-5)
k = -50
(-5)
Example 5: Find the value of b using the given information.
(7)
a = 35
(7)
b = 35 - 15
b = 20
Example 6: Translate the verbal sentence into an equation, then solve.
a. The product of 6 and a number is 36.
6n = 366
n = 6
6
b. 4 less than a number is –3.
n – 4 = -3+4+4
n = 1
c. the quotient of a number and 4 is 8.
n4
= 8(4)
n = 32
(4)
d. 9 more than a number is –12.
n + 9 = -12-9-9
n = -21
Example 6: Solve.1. You are working on a banner for Fridays pep rally. The area of the banner is 45 square feet. If the length of the banner is 15 feet, what is the width?
15w = 4515
w = 3
15
ft
2. You are working at a car wash to raise money for a charity. By the end of the day, you raised $342. You charged $6 for each car wash.a) How many cars were washed during the day?
6n = 3426
n = 57
6
cars
b) If you had instead charged $7 for each wash, how much more money would you have made?
57x 7
9
4
39
399- 342
75$
