7.EE.1 Simplifying Expressions

7.EE.1 Simplifying Expressions

What is an expression?

• A mathematical phrase that can contain variables, constants, coefficients, and operations.

• An expression has terms that are separated by operations.

Variable

• a letter used to represent any unknown number

• Examples: t, x, n, y , v, p, c, s, etc.

Fill in the Blank

What is the variable in this expression?

7n + 5

Constant

• any number by itself

• Example: 2 in the expression 4x + 2

Fill in the Blank

What is the constant in this expression?

7n + 5

Coefficient

• a number in front of a variable

• represents multiplication

• Example: -2x which means -2 mulitplied by x

• -2 is the coefficient

Fill in the Blank

What is the coefficient in this expression?

7n + 5

All expressions have terms.

REMEMBER: terms are separated by an operation such as + or -

Fill in the Blank

How many terms does this expression have?

Simplifying Expressions

• Terms can be classified as like or unlike and expressions can be simplified by combining like terms.

• Like terms must have the same variable and base

• Examples:

• 7x, x, -5x, and 9x are like terms

• 4g and 6d are NOT like terms

Multiple Choice

Determine if the following are like or unlike terms.

b and 3b

• like

• unlike

Open Ended

List three terms that are like the given terms below.

3b and b

Multiple Choice

Determine if the following are like or unlike terms.

-6r and -6p

• like

• unlike

Multiple Choice

Determine if the following are like or unlike terms.

16 and -9

• like

• unlike

Multiple Choice

Determine if the following are like or unlike terms.

c and c⁴

• like

• unlike

Multiple Choice

Determine if the following are like or unlike terms.

c, 4c , 8c

• like

• unlike

Simplifying Expressions

• Terms can be classified as like or unlike and expressions can be simplified by combining like terms.

• Like terms must have the same variable and base

• Examples:

• 7x, x, -5x, and 9x are like terms

• 4g and 6d are NOT like terms

Multiple Select

Select all like terms:

7a – 6 + 8a

• 7a

• 6

• 8a

Multiple Select

In the list of terms, determine which of the terms are like terms.

8c, 16, -8c, -16b

• 8c

• 16

• -8c

• -16b

Multiple Select

In the list of terms, determine which of the terms are like terms.

1m, n, m, 1

• 1m

• n

• m

• 1

Multiple Select

In the list of terms, determine which of the terms are like terms.

0, -8, 14r

• 0

• -8

• 13r

Multiple Select

Select all like terms with the same base r:

-26r + 7r + 12p – 7p

• -26r

• 7r

• 12p

• 7p

Multiple Select

Select all like terms with the same base p:

-26r + 7r + 12p – 7p

• -26r

• 7r

• 12p

• 7p

Poll

Rate your level of understanding on identifying like terms on a scale of 1-3.

• 1. I'm lost and confused.

• 2. I kinda get it but I need more guided practice.

• 3. I understand and could probably explain to someone else.

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complete 3/18 homework

We can simplify expressions by combining terms with the same variable.

We can combine all the pizza (p), all the soda (s), and the total of cones (c).

Simplifying Expressions

Only like terms can be COMBINED.

Open Ended

Simplify the expression by combining like terms.

7a – 6 + 8a

Multiple Choice

Combine all terms with variable r:

-26r + 7r + 12p – 7p

• 19r

• -33r

• -19r

• 33r

Multiple Choice

Simplify the expression:

7g + 5 + 6g - 3

• 13g - 3

• 12g + 5

• 13g + 2

• 13g - 2

Multiple Choice

Combine all terms with variable p:

-26r + 7r + 12p – 7p

• 5p

• -19p

• -5p

• 19p

Poll

-26r + 7r + 12p – 7p

When simplifying this expression and combining like terms, you should get this answer: -19r + 5p

• I also got this as my answer.

• I'm confused on how you got this answer.

Multiple Choice

Simplify the expression:

7g + 5 + 6g - 3

• 13g - 3

• 12g + 5

• 13g + 2

• 13g - 2

Multiple Choice

Simplify the expression:

10x + 7 - 2x - 2

• -12x - 9

• -8x - 5

• -8x + 5

• 8x + 5

Multiple Choice

Simplify the Expression:

3m - 15 + 2m - 4

• 5m - 19

• m + 19

• 5m - 15

• 24m

Poll

Rate your level of understanding on combining like terms on a scale of 1-3.

• 1. I'm lost and confused.

• 2. I kinda get it but I need more guided practice.

• 3. I understand and could probably explain to someone else.

go to canvas

complete 3/19 homework