Combining Like Terms with Rational Numbers

1.3: Combining Like Terms

Lesson EQ: How can you simplify algebraic expressions by combining like terms?

Multiple Choice

A combination of variables, numbers, and at least one operation.

• inequality

• equation

• expression

• coefficient

Multiple Choice

What is the definition of a term ?

• The letter used to represent a quantity

• The number with no variable

• The number in front of a variable

• A number, a variable, or a product or quotient of numbers or variables that is added or subtracted in an algebraic expression

Multiple Choice

What is the definition of a constant?

• The letter used to represent a quantity

• The number with no variable

• The number in front of a variable

• The little number or letter used to raise to a power

Multiple Choice

What is the definition of a coefficient?

• The letter used to represent a quantity

• The little number or letter used to raise to a power

• The number in front of a variable

• The number in back of a variable

Multiple Choice

A letter that represents a number is called a _____.

• variable

• coefficient

• constant

• term

Multiple Choice

Identify the variables in the expression

3x + 9

• x

• y

• 9

• 3x

Multiple Choice

How many terms in the following expression:

5x + 3y - 15 + x

• 1

• 2

• 3

• 4

Multiple Choice

What are the coefficients in this statement?

a + 6b = 2

• 6

• 2

• 1, 6

• 1, 6, 2

Multiple Choice

What is the "7m" in this expression?

7m - 9

• Expression

• Variable

• Coefficient

• Term

Multiple Choice

What does the number 5 represent in the following expression:

2x + 5

• constant

• coefficient

• variable

• tacos

Multiple Choice

In this expression, 2x + 6y - 10, which are the coefficients?

• 2, 6, and -10

• x and y

• 2 and 6

• -10

Multiple Choice

True or False:
u³and u² are like terms.

• True 
• False

Multiple Choice

True or False:
y and 14 are like terms.

• True 
• False

Multiple Choice

True or False:
4 and 14 are like terms.

• True 
• False

Multiple Choice

True or False:
4x and x are like terms.

• True 
• False

Multiple Choice

What are the like terms in the following expression?

5x + 8 + 2x

• 5x, -2x

• 5x, 2x

• 5x, 8

• 8, -2x

Multiple Choice

What are the like terms in the following expression? 
2x + 1 + 7x 

• 2x, 7x
• 2x, 1
• 2x, -7x
• 7x, 1

Multiple Choice

What are the like terms in the following expression?

4x² + 3x + 2x

• -3x, -2x

• 3x, 2x

• -3x, 2x

• 3x, -2x

Multiple Choice

What are the like terms in the following expression?

5a + 2b + 3a

• 5a, -3a

• 5a, 3a

• 5a, 2b

• 5a, 4

Multiple Choice

Which of these are like terms in the following expression:

3x + 9x + 2x²

• 7, 24y

• 3x, 9x

• 3x, -9x

• 3x, -9x, 2x²

Multiple Choice

Simplify the expression: 3x + 2x

• 5x
• x
• 6x
• 5

Multiple Choice

-6k + 7k=

• k
• -k
• 12k
• -12k

Multiple Choice

6x + 2x + 1 + 4

• 8x + 5 
• 2x - 3
• 4x - 2
• 8x + 12 

Multiple Choice

Simplify the expression: 2x + 1 + 7x 

• 10x
• 10
• 9x + 1
• 9 + 1x

Multiple Choice

Simplify the expression: 
3t + 7y + t + 3y

• 3t + 10y
• 4t + 10y
• 4t + 4y

Multiple Choice

n -10 +9n -3=

• -3
• 9n-3
• n
• 10n -13

Multiple Choice

Collect like terms: 
4y + 8d - 2y + 3d

• 11d + 6y
• 11d + 2y
• 6y + 5d

Multiple Choice

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4
• 2a + 2b + 4
• 8ab
• 4ab + 4

Multiple Choice

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4
• 2a + 2b + 4
• 8ab
• 4ab + 4

Multiple Choice

x + 3x - 2x

• 6x

• 3x

• 5x

• 2x