1.1 Simplifying Expressions by Combining Like Terms

Multiple Choice

Which of the following is NOT a mathematical expression?

• 7 + 2

• x - 5

• 12 = 4 + 8

• 3y

Multiple Choice

Which of the following is NOT a characteristic of a mathematical expression?

• It contains an equal sign

• It can contain variables and numbers

• It can include operations like addition and subtraction

• It does not have an equal sign

Fill in the Blank

Fill in the blank: A mathematical phrase that can contain ____, ____, and ____ (like addition and subtraction).

,

,

Multiple Choice

Which of the following must be true for two terms to be considered like terms?

• They must have the same variable and exponent

• They must have the same coefficient

• They must have the same constant

• They must have different bases

Multiple Select

Circle the letter of any card that gives an example of like terms.

• A. (1/4)c and -9c

• B. 2.2n and 2.2

• C. 6y and 6x

• D. 5d^2 and d^2

• E. 30 and -25

Fill in the Blank

Be careful when you are combining terms to check the ________________ that is in front of the term.

Fill in the Blank

We can simplify algebraic expressions by combining __________ __________.

Multiple Choice

Simplifying expressions often involves combining like terms. Which of the following is an example of combining like terms?

• 3x + 2y = 5xy

• 4a + 5 = 9a

• 2x + 3x = 5x

• 7y - 2 = 5

Multiple Choice

What is the simplified form of the expression 13r + 5r + 2n?

• 18r + 2n

• 13r + 7r + 2n

• 13r + 5r + 2n

• 18r + 7n

Multiple Choice

How do you simplify the expression -k + 16 - 12k?

• -13k + 16

• -11k + 16

• -13k - 16

• k + 4

Open Ended

Explain the process of combining like terms when simplifying algebraic expressions. Give an example.

Multiple Choice

What is the simplified form of the expression: -18.7b + 4b - 0.3b?

• -15b

• -14.4b

• -15.7b

• -13b

Multiple Choice

After simplifying the expression 1/2b - 9 + 8b - 7 - b + 14, what is the coefficient of b in the final answer?

• 7.5

• 8.5

• 7

• 6.5

Multiple Choice

Which terms in the expression -1.2k + 10.9 - g + 0.5g + 0.3k are like terms?

• -1.2k and 0.3k; -g and 0.5g

• 10.9 and 0.5g

• -1.2k and 10.9

• -g and 0.3k

Fill in the Blank

Write a simplified expression for the perimeter of the rectangle with sides 17.4x - 0.8 cm and 6x cm.

Open Ended

Explain Darci's mistake in simplifying the expression and provide the correct simplified expression.