Evaluating Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols (like +, -, *, /). For example, 2x + 3 is an algebraic expression.

Front

What does it mean to evaluate an algebraic expression?

Back

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

Front

Evaluate: 2x + 5(y - 1) when x=8 and y=5

Back

36

Front

Evaluate: 3(2x + z) when x=8 and z=2

Back

54

Front

Evaluate: bc + 5a when a = 3, b = 4, and c = 6

Back

39

Front

Evaluate: 10 + 2p - 3r when p = 4 and r = 5

Back

3

Front

Evaluate: 2(a - 5) + 2 when a = 15

Back

22

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. For example, in the expression 3x + 2, 'x' is a variable.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression. For example, in 4x, 4 is the coefficient of x.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 2x + 5, the number 5 is a constant.