Algebraic Expressions Review

Which of the following best describes the expression 4 times a number increased by 7?

• (x/4) + 7
• 4x - 7
• 4(x + 7)
• 4x + 7

Which of the following best describes the expression 8 less than the quotient of a number and 2?

• (x/2) - 8
• 8 - (x/2)
• (x - 8)/2
• 2x - 8

Which of the following best describes the algebraic expression 3(x - 5)?

• Three times a number minus five
• Three times the quantity of a number minus five
• Three times the quantity of a number plus five
• Three times a number plus five

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

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

Like terms have the same _____ and the same _____.

• variables and numbers
• signs and numbers
• variables and exponents
• variables and signs

A coefficient is __________.

• the variable
• a constant
• an exponent
• the number that comes before the variable

How many terms does this expression have?
3x + 5y - 17 - 2y + x

• 3
• -17
• 5
• 1

What is the coefficient here?
-27m + 5

• 27
• -27
• 5
• m

Simplify the expression:
8(5 + w)

• 40 + w
• 40+8w
• 85 + 8w
• 13+8w

Which of the following is equivalent to 5(2x + 6)?

• 10x + 30
• 10x + 6
• 40x
• 2x + 30