Evaluating Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables (like x or y), and operations (like +, -, *, /).

Front

What does 'evaluate' mean in math?

Back

To evaluate means to find the value of an expression by substituting numbers for the variables.

Front

What is the value of 3ab when a = 3 and b = 4?

Back

36

Front

How do you evaluate 2x + 5(y - 1) when x = 8 and y = 5?

Back

First, substitute x and y: 2(8) + 5(5 - 1) = 16 + 20 = 36.

Front

What is the value of 2x + x² for x = 3?

Back

15

Front

How do you evaluate 6a + 2(c - b) when a = 2, b = 1, c = 9?

Back

Substitute the values: 6(2) + 2(9 - 1) = 12 + 16 = 28.

Front

What is the value of 2a when a = 3?

Back

6

Front

What is a variable in an algebraic expression?

Back

A variable is a letter that represents a number we don't know yet, like x or y.

Front

What does the term 'coefficient' mean?

Back

A coefficient is a number that is multiplied by a variable, like 3 in 3x.

Front

What is the order of operations in math?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).