Evaluating/Solving Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that includes numbers, variables, and operation symbols (like +, -, *, /). For example, 3x + 5 is an algebraic expression.

Front

What does it mean to simplify an expression?

Back

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

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2a and 3a are like terms, while 2a and 3b are not.

Front

How do you combine like terms?

Back

You combine like terms by adding or subtracting their coefficients. For example, 5a + 2a = 7a.

Front

What is the value of 'x' in the expression 2x + 3 = 11?

Back

To find 'x', subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.

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What does it mean to evaluate an expression?

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

Front

Evaluate 4x + 2 when x = 3.

Back

4(3) + 2 = 12 + 2 = 14.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression is a combination of numbers and variables without an equality sign.

Front

What is the operation of the expression 3x?

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The operation is multiplication, meaning 3 times the value of x.

Front

What does the term 'coefficient' refer to?

Back

A coefficient is a number that is multiplied by a variable in an algebraic expression. For example, in 5x, 5 is the coefficient.