Evaluating Expressions

Front

What is the formula for evaluating an expression with variables?

Back

To evaluate an expression with variables, substitute the values of the variables into the expression and perform the arithmetic operations according to the order of operations (PEMDAS/BODMAS).

Front

What does PEMDAS stand for in the context of evaluating expressions?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). It is the order of operations used to evaluate expressions.

Front

How do you evaluate the expression 4(p - r) when p = 6 and r = -2?

Back

Substitute p = 6 and r = -2 into the expression: 4(6 - (-2)) = 4(6 + 2) = 4(8) = 32.

Front

What is the result of evaluating (x + z - z) ÷ 3 + x when x = 3 and z = 5?

Back

Substituting x = 3 and z = 5 gives (3 + 5 - 5) ÷ 3 + 3 = (3) ÷ 3 + 3 = 1 + 3 = 4.

Front

How do you evaluate z^2 - (y + 4) when y = 5 and z = 6?

Back

Substituting y = 5 and z = 6 gives 6^2 - (5 + 4) = 36 - 9 = 27.

Front

What is the value of (y + z)^2 when y = -4 and z = -3?

Back

Substituting y = -4 and z = -3 gives (-4 + -3)^2 = (-7)^2 = 49.

Front

How do you evaluate the expression 4(cb + c) when b = 4 and c = 3?

Back

Substituting b = 4 and c = 3 gives 4(4*3 + 3) = 4(12 + 3) = 4(15) = 60.

Front

What is the significance of parentheses in evaluating expressions?

Back

Parentheses indicate which operations should be performed first in an expression, following the order of operations.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

Front

What is the role of exponents in evaluating expressions?

Back

Exponents indicate how many times a number (the base) is multiplied by itself, and they are evaluated after parentheses but before multiplication and addition.