Adding & Subtraction
Multiplying & Dividing
Rational Numbers
Word Problems
Rules & Applications
100

x+3=12

15

100

4t=32

t=8

100

j-5.4=3.2

8.6

100

There are 8 times as many roses in the garden as there are
dahlias. Write and solve an equation that determines how
many dahlias, 𝑑, there are if there are 56 roses.

8d=56


d=7 dahlias


100

What's the inverse operation of addition ?

Subtraction

200

117=d-86

203

200

y/6 = 7

y= 42

200

k-4.1=2.08

k= 6.18

200

Hal is three times as old as his nephew. Hal is 12 years old. Write a multiplication equation and solve the equation to determine his nephew’s age.


3x=12

x= 4 years old

200

What is the inverse operation of division ?

Multiplication 

300

p + 1.6 =4.4

2.8

300

4.5f=18

f=4

300

Create an algebraic equation for the sentence. Solve each equation. 

                                 x minus one-half is one-fourth

   x+1/3 = 3/4                                              

  x= 5/12

300

Kristina is four-fifths as old as her sister. Kristina is 12 years old. Write a multiplication equation and solve the equation to determine her sister’s age.


(4/5)x =12

x= 15 years old

300

How do you check to see if your solution is correct?

Use Substitution !

400

-32+y=-81

-49

400

k/3 = 1.5

k=4.5

400

g-2/3 =1/4

g= 11/12

400

At the market, Sydni puts a few pears in a bag then weighs the bag on a produce scale. The bag of pears weighs 4.75 pounds. She adds more pears to the bag. The new weight of the bag is 5.6 pounds.


x=0.85

400

When adding and subtracting fractions in an equation, you must find a ___________ __________ to be be able to add or subtract.

What is COMMON DENOMINATOR

500

Create an algebraic equation for the following sentence. Solve each equation. 

                                   Thirty-three is six less than x. 

33=x-6       

 x=39

500

(3/7)x =4

x=9 1/3

500

(2/9) b = 4/3

b=6

500

Keaton sold three-fourths as much as Jimmy during a fundraiser. Keaton sold 60 products. How many products did Jimmy sell?


(3/4) x =60

x= 80 products

500

When solving an equation, the goal is to ___________ the variable. 

Isolate 

- All by my self.....don't want to be... all by myself. 

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