Simplifying Algebraic 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, 3x + 5 is an algebraic expression.

Front

What are like terms?

Back

Like terms are terms in an expression that have the same variable raised to the same power. For example, in the expression 4x + 2x, both terms are like terms.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = 8x.

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 each term inside a parenthesis.

Front

Simplify the expression: 2(3x + 4)

Back

6x + 8

Front

What is the first step in solving the equation 4x + 10 = -26?

Back

Subtract 10 from both sides to isolate the term with the variable.

Front

What is the solution to the equation 2(y + 2) if y = 5?

Back

14

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to get the variable alone on one side of the equation, making it easier to solve for its value.

Front

What is the result of simplifying the expression 5b + 9 + 3b?

Back

8b + 9

Front

What is the error in the following steps? 19 - 2k = 3k - 1; +3k; 19 + 1k = -1; -19; k = -20

Back

Instead of adding 3k, they should subtract 3k.