Understanding Algebraic Expressions

What is an algebraic expression?

• An algebraic expression is a combination of only numbers without any variables.

• An algebraic expression is a combination of numbers, variables, and operators without an equality sign.

• An algebraic expression is only a single number or variable.

• An algebraic expression is a statement that includes an equality sign.

Which of the following is a part of an algebraic expression?

• coefficients

• constants

• variables

• terms

Identify the coefficient in the expression 5x + 3.

• 5

• 5x

• x

• 3

Which expression represents the statement 'the sum of a number and 7'?

• x * 7

• 7 - x

• x - 7

• x + 7

Simplify the expression 3x + 4x.

• 8x

• 7x

• 6x

• 5x

What is the first step in simplifying the expression 2/3x + 1/3x?

• Combine the coefficients 2/3 and 1/3.

• Distribute the 1/3 across the terms.

• Subtract the coefficients 2/3 and 1/3.

• Factor out the common term x.

Factor the expression 6x + 9.

• 3(2x + 3)

• 2(3x + 4)

• 3(4x + 1)

• 6(x + 1.5)

Which method can be used to factor the expression x^2 + 5x + 6?

• (x + 3)(x + 2)

• (x + 2)(x + 3)

• (x + 4)(x + 1)

• (x + 1)(x + 6)

What is the simplified form of the expression (2x + 4)/(2)?

• 4x + 4

• x + 2

• x + 4

• 2x + 2

Evaluate the expression 3x + 2 when x = 4.

• 10

• 20

• 18

• 14