Evaluate, Simplify, and Translate 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 simplify an expression with parentheses?

Back

To simplify an expression with parentheses, perform the operations inside the parentheses first, then follow the order of operations for the remaining parts of the expression.

Front

What does it mean to evaluate an expression?

Back

Evaluating an expression means substituting the values of the variables into the expression and performing the calculations to find a numerical result.

Front

Translate 'five times a number x minus 3' into an algebraic expression.

Back

5x - 3

Front

What is the result of evaluating the expression 2(m + 3) when m = 4?

Back

2(4 + 3) = 2(7) = 14.

Front

How do you translate 'the sum of a number y and 10' into an algebraic expression?

Back

y + 10

Front

What is the value of the expression 3(2 + 4) - 5?

Back

3(6) - 5 = 18 - 5 = 13.

Front

If r = 5, what is the value of r^2 - 4r + 1?

Back

5^2 - 4(5) + 1 = 25 - 20 + 1 = 6.

Front

What does it mean to translate a verbal expression into an algebraic expression?

Back

It means to convert a written description of a mathematical relationship into a mathematical expression using variables and numbers.

Front

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

Back

4(3) + 2 = 12 + 2 = 14.