Evaluate 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, 2x + 3 is an algebraic expression.

Front

Evaluate the expression: 5x + 3 for x = 2.

Back

5(2) + 3 = 10 + 3 = 13.

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

Evaluate the expression: 3a + 4b for a = 1 and b = 2.

Back

3(1) + 4(2) = 3 + 8 = 11.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

Front

Evaluate the expression: 2c + 5 for c = 3.

Back

2(3) + 5 = 6 + 5 = 11.

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation. For example, in the expression 4x + 2, 'x' is the variable.

Front

Evaluate the expression: 7y - 2 for y = 5.

Back

7(5) - 2 = 35 - 2 = 33.

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 3x, 3 is the coefficient.

Front

Evaluate the expression: 6m + 4n for m = 2 and n = 3.

Back

6(2) + 4(3) = 12 + 12 = 24.