Evaluating Expressions

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. The acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you evaluate an expression with exponents?

Back

To evaluate an expression with exponents, calculate the exponent first, then perform the remaining operations in the order of operations.

Front

What is the value of 2^4?

Back

The value of 2^4 is 16.

Front

How do you simplify the expression 24 ÷ 3?

Back

To simplify 24 ÷ 3, divide 24 by 3, which equals 8.

Front

What is the result of the expression 2^4 - 24 ÷ 3 + 1?

Back

The result is 16 - 8 + 1 = 9.

Front

How do you substitute a value into an algebraic expression?

Back

To substitute a value into an algebraic expression, replace the variable with the given value and then simplify the expression.

Front

Evaluate the expression 3x + 4 when x = -2.

Back

Substituting -2 for x gives 3(-2) + 4 = -6 + 4 = -2.

Front

What is the value of 4y when y = 3?

Back

When y = 3, 4y = 4(3) = 12.

Front

If p = -6, what is p + 4?

Back

If p = -6, then p + 4 = -6 + 4 = -2.

Front

Evaluate the expression 3r + 2e when r = 3 and e = 2.

Back

Substituting gives 3(3) + 2(2) = 9 + 4 = 13.