Evaluating Algebraic Expressions

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in the expression 8a, 8 is the coefficient of a.

Front

Evaluate the expression 3b + 2d when a = 1, b = 3, d = -2.

Back

5

Front

What is the value of the expression 2x + 5(y - 1) when x=8 and y=5?

Back

36

Front

Evaluate b² + 4 when b = 3.

Back

13

Front

What is the result of 12 ÷ a + 8 when a = 4?

Back

11

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 4x + 7 is an algebraic expression.

Front

What does it mean to evaluate an expression?

Back

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

Front

What is a variable in algebra?

Back

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

Front

What is the difference between an expression and an equation?

Back

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

Front

How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.