Solving Expressions

Front

What is a variable in an expression?

Back

A symbol used to represent an unknown value, often denoted by letters like x, y, or z.

Front

How do you evaluate an expression?

Back

Substitute the values of the variables into the expression and perform the operations according to the order of operations.

Front

What is the order of operations?

Back

The rules that dictate the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right) - often abbreviated as PEMDAS.

Front

What is an exponent?

Back

A number that shows how many times to use the base in a multiplication. For example, in 2^3, 3 is the exponent.

Front

Evaluate the expression: 5 + 3 × 2

Back

11 (First, multiply 3 × 2 = 6, then add 5 + 6 = 11).

Front

What does it mean to simplify an expression?

Back

To reduce the expression to its simplest form by combining like terms and performing operations.

Front

What is a constant in an expression?

Back

A fixed value that does not change, such as numbers like 5, -3, or 2.5.

Front

Evaluate the expression: 4 × (x + 2) when x = 3

Back

20 (First, substitute x with 3: 4 × (3 + 2) = 4 × 5 = 20).

Front

What is a coefficient?

Back

A numerical factor in a term of an expression, such as the 4 in 4x.

Front

Evaluate the expression: (10 - 2) ÷ 4

Back

2 (First, subtract: 10 - 2 = 8, then divide: 8 ÷ 4 = 2).