6th Grade On-Level Math Unit 10 Review - Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 2x + 3 is an algebraic expression.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

How do you simplify the expression 2(x + 3)?

Back

To simplify, distribute the 2: 2(x + 3) = 2x + 6.

Front

What is the value of the expression (-6)(4) + (-5)(4)?

Back

The value is -44.

Front

How do you evaluate the expression 2^2 - 2(3^2 - 3)?

Back

First, calculate 2^2 = 4, then 3^2 = 9, so 2(3^2 - 3) = 2(9 - 3) = 2(6) = 12. Thus, 4 - 12 = -8.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the value of the expression -9 x 6 - (-6 x 3)?

Back

The value is -36.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting numbers for the variables and performing the operations.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Front

How do you combine like terms in the expression 2x + 3x + 4?

Back

Combine the like terms 2x and 3x to get 5x, so the expression simplifies to 5x + 4.