Combining Like Terms

Multiple Choice

What is/are the coefficient(s) of
 2x + 9 + 7x?

• 2, 9, 7
• 2, 7
• 2x, 7x
• 9

Multiple Choice

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

• 7, 24y
• 3x, 9x
• 3x, -9x
• 3x, -9x, 2x²

Multiple Choice

Which expression is equivalent to
v + v + v + v + v?

• 5v
• v⁵
• v + 5
• v5

Multiple Choice

Which expression is equivalent to:
d + d + d + 3 + 2

• 3d + 5
• d + 5
• 2d + 7
• 3d + 4

Multiple Choice

Simplify the algebraic expression by combining like terms:

$$3x\ +\ 5y\ -\ 3x\ +\ 2y$$  

• $$x\ +\ 7y$$  

• $$-x\ +10y$$  

• $$7y$$  

• $$6x\ +7y$$  

Multiple Choice

Simplify by combining like terms:

3x-5x

• 2x

• 8x

• -2x

• 15x²

Multiple Choice

Rewrite the expression by combining like terms.
4x² – 2x² + 2y + 6y² – y + x²

• 3x² + 3xy + 6y
• 6y² + 2xy + 2x
• 7x² + 35x
• 3x² + 6y² + y

Multiple Choice

Simplify the algebraic expression by combining like terms:

$$4x^2\ +\ 4y\ +3x\ +2y^2$$  

• $$4x^2\ +4y\ +3x\ +2y^2$$  

• $$6xy^2\ +7xy$$  

• $$7x^2\ +6y^2$$  

• $$8x^2y\ +\ 5xy^2$$  

Multiple Choice

Simplify by combining like terms:

-6k + 7k

• k

• -k

• 12k

• -12k

Multiple Choice

Simplify the algebraic expression by using the distributive property and combining like terms:

$$5\left(v\ +2\right)\ +\ 5\left(v\ -5\right)$$  

• $$10v\ +35$$  

• $$10v\ -15$$  

• $$2v\ +35$$  

• $$2v\ -15$$  

Multiple Choice

Simplify by combining like terms:

-r -10r

• 11r

• -11r

• 9r

• -11

Multiple Choice

Simplify the algebraic expression by using the distributive property and combining like terms:

$$2\left(2x\ +5y\right)\ +3\left(x\ +3y\right)$$  

• $$7x\ +8y$$  

• $$4x\ +8y\ +3x$$  

• $$4x\ +5y\ +3x\ +3y$$  

• $$7x\ +19y$$  

Multiple Choice

Simplify the algebraic expression using the distributive properties first, then combine like terms.

$$\frac{4x\ +8}{4}$$  

• 3x

• x + 2

• x + 8

• 4x + 2

Multiple Choice

Simplify the algebraic expression using the distributive properties first, then combine like terms.

$$\frac{4x\ +6y}{2}\ -3y$$  

• $$5xy\ -3y$$  

• $$2x$$  

• $$2x\ +6y$$  

• $$2x\ +\frac{3}{2}y$$  

Multiple Choice

Simplify the algebraic expression using the distributive properties first, then combine like terms. $$3\left(x\ +2y\right)\ +\frac{3x\ -9y}{3}$$  

• $$2x\ +9y$$  

• $$2x\ +3y$$  

• $$4x\ +9y$$  

• $$4x\ +3y$$  

Multiple Choice

$$\frac{6\ +\ 3\left(x\ +\ 1\right)}{3}$$  

• x + 3

• 2 + 3x + $$\frac{1}{3}$$  

• 3x + 3

• 3x + $$\frac{1}{3}$$