Algebraic expressions and like terms

Multiple Choice

What is the significance of using variables in algebraic expressions?

• They represent unknown numbers and allow us to solve problems.

• They are always equal to zero.

• They only represent whole numbers.

• They make equations more complicated.

Open Ended

How does modeling with objects help you understand equivalent expressions in algebra?

Labeling

Label the parts of the expression

Drag labels to their correct position on the image

term

constant

Coefficient

variable

term

Math Response

How many coefficients are in expression?

Type answer here

Correct Answer: 2

Deg^°

Rad

Match

Match the following

• Term with a variable.

• Term without a variable.

• Number in front of the variable.

• An algebraic express is in simplest form when it has no like terms and no parentheses.

• Separating an expression back into a product.

Variable Term

Constant Term

Coefficient

Simplifying Expressions

Factoring Expressions

• Variable Term

• Constant Term

• Coefficient

• Simplifying Expressions

• Factoring Expressions

Match

Match the following:

In the expression 6X+4 what are the different parts called?

• 6

• X

• 4

• 6X and 4

• 6X+4

coefficient

variable

constant

terms

expression

• coefficient

• variable

• constant

• terms

• expression

Categorize

Options (6)

14

5h

3

3h

5

4

In this expression 5h + h + 14 + 3h drag and drop the parts the expression in the correct location.

Variable Terms

Coefficients

Constant Terms

Number of Terms

Math Response

Simplify the expression.

Type answer here

Correct Answer: 11x+6

Deg^°

Rad

Math Response

Simplify the expression:

Type answer here

Correct Answer: 9x-3

Deg^°

Rad

Drag and Drop

Combine like terms

14y + 5y​

​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

19

10

38y

19y

Math Response

Simplify.

$$3x+7x+2+7$$

Type answer here

Correct Answer: 10x+9

Deg^°

Rad

Multiple Choice

Combine like terms, simplify, and choose the equivalent expression below for $$5x-3+2\left(x-3\right)-2x+4\left(5\right)$$  

• $$-24$$  

• $$9x+29$$  

• $$5x+11$$  

• $$5x+14$$