Simplifying Expressions by CLT

​Adding and Subtracting Rational Numbers

With Ms. Vallero​

Multiple Choice

 -19 -10

• 9
• -9
• -29
• 29

Multiple Choice

6 - (-2)

• 8

• 4

• -4

• -8

Multiple Choice

-25 - (-2)

• 23

• -23

• 27

• -27

Open Ended

2 − (−2)

Open Ended

(−1) − 10

Multiple Choice

-7 - 2

• -9
• 9
• 5
• -5

Multiple Choice

-2 - (-10) = ?

• -12
• 12
• 8
• -8

Multiple Choice

1 - (-18)

• -17
• 19
• 17
• -18

​Vocabulary for Simplifying Expressions

Variable

A letter that stands for an unknown number.

VARIABLE TERM refers to the entire term that contains the variable (Ex: -8x)

When there is no number in front of the variable, there is a 1 there. (Ex: y is the same as 1y)

Expression

An expression contains numbers, variables, and operation symbols...NO EQUAL SIGN

Multiple Select

Which of these can be found in an expression?

• Numbers

• Operations

• Equal Sign

• Variables

Terms

Coefficient

Multiple Choice

What is/are the coefficient(s) of
 2x + 9 - 7x?

• 2, 9, 7
• 2, -7

• 2x, -7x

• 9

Constant

A number NOT connected to a variable.

Always include the sign before it .

Constants can be whole numbers, decimals, or fractions.

All constants are like-terms!

Multiple Select

What are the constants in the following problem? (There may be more than one.)

$$2b^2+1-6a+4.2$$  

• 2

• 1

• -6

• 4.2

Like-Terms

Multiple Select

Which of the following are examples of like-terms?

• $$3b\ \&\ b$$

• $$6x^2\ \&\ 6x$$

• $$3\ \&\ 4.5$$

• $$6xy\ \&\ 6x^2y$$

Combining Like Terms

Use the signs in front of the terms.

Only terms that share the same variable (and are raised to the same power) can be combined.

Always ADD the coefficients together of like terms, but remember to look at the signs before it!

Multiple Choice

Which expression is equivalent to
v + v + v + v + v?

• 5v
• v⁵
• v + 5
• v5

Multiple Choice

Simplify by combining like terms:

-6k + 7k

• k

• -k

• 13k

• -13k

Multiple Choice

Simplify by combining like terms:

-r -10r

• 11r

• -11r

• 9r

• -11

Multiple Choice

Combine Like Terms

a - 2 + 1 + 4a

• 5a + 3

• 5a -1

• -7a

• 5a - 3

Multiple Choice

Simplify this expression by combining the like-terms:

$$2x+7-4x$$  

• $$5x$$  

• $$-2x$$  

• $$-2x+7$$  

• $$-13x$$  

Multiple Choice

Simplify the expression by combining like-terms:

$$-3y+1+9y-4$$  

• $$3y$$  

• $$6y-3$$  

• $$12y+3$$  

Terms with exponents

Only variables with the same exponent are like terms.

x and x² are NOT like terms.

x and xy are NOT like terms.

x and y are NOT like terms.

x² and y² are NOT like terms.

Always ADD the coefficients together of like terms, but remember to look at the signs before it!

Multiple Choice

Simplify by combining like terms:
4x² - 3x + 11 -2x

• 4x² - 5x + 11
• 11x + 11
• 16x² - 5x + 11
• 10x²

Multiple Choice

Rewrite the expression by combining like terms.
4x² – 2x² + 2y + 6y² – y + x²

• 3x² + 3xy + 6y
• 6y² + 2xy + 2x
• 7x² + 35x
• 3x² + 7y² + y