Lesson 1-5 Algebraic Expression Review

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What is a common difference in a sequence?

Back

The common difference is the amount added to each term to get to the next term in an arithmetic sequence. For example, in the sequence 4, 7, 10, 13, the common difference is 3.

Front

How do you find the next terms in an arithmetic sequence?

Back

To find the next terms in an arithmetic sequence, identify the common difference and add it to the last known term.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and reduce it to its simplest form.

Front

What is the result of combining like terms in the expression a + a + a + a?

Back

The result is 4a.

Front

How do you combine the expression 4x - 3 + 2 - 2x?

Back

Combine like terms: (4x - 2x) + (-3 + 2) = 2x - 1.

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 result of applying the distributive property to 6(3x + 5)?

Back

The result is 18x + 30.

Front

What is the result of the expression 6(3x + 5) + 2(x - 4)?

Back

The result is 20x + 22.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 2x + 3, 'x' is a variable.