Simplifying Expressions

Simplifying Expressions

Term

• Each part of an algebraic expression separated by a plus or minus sign.

• In the Expression 4c + 5 + 2c, what are the terms?

• It has 3 terms: 4c, 5, and 2c

Multiple Select

Identify the terms (select all that apply)

10a + 4 + 5a

• 10a

• 4

• 5a

• 1

• 7

Coefficient

• The numerical factor of a term that contains a variable.

• In the expression 5b + 4, what is the coefficient?

• 5 would be the coefficient

Multiple Choice

What is the coefficient in the following expression?

9m +12

• 9

• 12

Constant

• A term without a variable

• In the expression 4m + 6, what is the constant?

• 6 would be the constant

Multiple Choice

What is the constant in the following expression?

5a + 2b+ 3c + 7

• 5a

• 2b

• 3c

• 7

Like Terms

• Terms that contain the same variable(s) to the same power.

• In the following expression what are the like terms? 3m +2m +3c

• 3m and 2m

Multiple Choice

Simplify

4a + 9 + a

• 5a + 9

• 14a

• 3a + 9

• 5a - 9

Multiple Choice

Use the Distributive Property to Rewrite the Expression

2(c - 8)

• 2c - 16

• 2c + 16

• 2c - 8

• c - 16

Multiple Choice

Simplify

5(y + 6) + 4

• 5y + 15

• 5y + 34

• 5y + 10

• y + 34

Multiple Choice

Factor

24+16q

• 2(4+16q)

• 8(3+2q)

• 4(6 +8q)

• 6(4+10q)

Multiple Choice

What is the simplified form of this expression
3x+4+5x+3

• 15x
• 8x+7
• 7x+8

Multiple Choice

Factor:

12x - 20

• 4x(3 - 5)

• 4(3x - 5)

Multiple Choice

Simplify: 6b + 7b - 10

• 3b

• 13b - 10

• 13b+10

• 42b+10

Multiple Choice

Use the distributive property to simplify the expression.

9(2g + 3)

• 18g + 27

• 18g - 27

• -18g - 27

• 18g - 18

Multiple Choice

Factor:  
4x + 30y

• 2(x + 15y)
• 4(x + 15y)
• 2(2x + 15y)
• can't be factored

Multiple Choice

Simplify 5(2 - 7n)

• 52 - 57n

• 10 - 7n

• 10 - 35n

• 10 + 35n