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 does the term 'evaluate' mean in algebra?

Back

To evaluate an algebraic expression means to substitute the values of the variables and perform the operations to find a numerical result.

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

Evaluate the expression: 3m – 5t when m = 7 and t = 2.

Back

11

Front

Evaluate the expression: 4m + t when m = 7 and t = 2.

Back

30

Front

Solve using the distributive property: 3(x - 6).

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3x - 18

Front

Solve using the distributive property: 2(x + 3).

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2x + 6

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 5x, 'x' is the variable.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

What is a constant in algebra?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 5, the number 5 is a constant.