Rational Numbers

Operations with Rational

Numbers Steps: Ex:

(

)

1. Cross out all double _________.

2. Circle each number and any _______ in front of them.

3. Put the ________ into your calculate, use ________ if necessary.

* Your button is next to the ENTER button on the bottom row.

4. This is your __________.

Together:

(

)

=

Practice:

=

+

Writing Expressions and Equations

Ex: A number minus six is equal to negative ten.

Ex: three times a number is twenty

1. Circle the _________ in the problem.

2. Underline the __________’s in the problem. This includes the _______ sign.

3. _______ the numbers and operations below the problem.

4. This is your written expression or equation!

*

Operation Words Addition Subtraction Multiplication Division Equal

Add Total Sum All together In all Plus Both Combined Increased More

Subtract Fewer than How many more Left Less than Minus Need to Remain Take away

Multiply Times Every/each At this rate Product Area Of area

Divide each Quotient Per Out of Into separated

Solve Find Is Was Has Have Were

Distributive Property Distributive property Variable Equivalent

EX: Distribute 6(x + 5)

1. Draw ____________ to show what you are _____________

2. __________ the number on the _____________ by __________

of the numbers on the inside

3. Bring down the sign from the _________.

EX: Write an Equivalent expression by factoring 3a + 12

1. Find the ________ of the two numbers (this goes on outside of ( ). )

2. Divide the ______ out of each number in _________.

3. Rewrite the equivalent expression keeping the sign between them the same as

the original expression

Together:

Distribute

Factor

Practice

Distribute

Factor

Combine Like Terms (Basic) Like terms

1 2 3

Simplify Algebraic Expressions

2(3j + 11) + (8j - 7) (3x + 8) - (5 + x)

STEPS:

1 2 3

𝑝 + +

𝑝

1 2 3

𝑞 + +

𝑞

Checking Solutions

STEPS:

1 2 3

1 2 3

EX:

-3n + 24 = -48; x = -24

Solving Equations by /- *****The goal in solving any equation is to get the __________________ on one side

all by itself.

EX : 5 + x = -23

Ex: P – 7 = 9

1 g - 16 = -52 2 -12 + x = 100 3 h + 20 = -15

1 6 + q = 3 2 -4 + x = 11 3 w + 8 = 31

Solving Equations by /

EX:

Ex: 4w = 32

1 2𝑘

3

𝑏

1 2𝑘

3

𝑏7

Solving Two Step Equations

EX : - 5 = 19

EX : + 7

STEPS:

1 2 3

4

1 2

3

+