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

Using the properties of equality, solve the equation. Example 1: Solve using the property of subtraction. –7 x=–3

n =5

–0.67 x=

–4 –19 = w

Example 2: Solve using the property of addition. +12 x=15

+11 6 = q

+2 t =–4

+4.8 a = 1.2

Example 3: Solve using the property of division. 6 x=-8 6

-3 x=-7 -3

-4 -7=x -4

8 a= = -3 4 a

Example 4: Solve using the property of multiplication (fraction bust). (4) x=20 (4)

(-3) t=-2.7 (-3)

(-2) -28=y (-2)

(-5) k=-50 (-5)

Example 5: Find the value of b using the given information. (7) a=35 (7) b= b=20

Example 6: Translate the verbal sentence into an equation, then solve. a. The product of 6 and a number is 36. 6n=36 6 n=6 6

b. 4 less than a number is –3. n – 4=-3 +4 n=1

c. the quotient of a number and 4 is 8. n4n4 =8 (4) n=32 (4)

d. 9 more than a number is –12. n + 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=45 15 w=3 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=342 6 n=57 6 cars

b) If you had instead charged $7 for each wash, how much more money would you have made? 57 x $