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 the acronym PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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 the expression 4(cb + c) when b = 4 and c = 3?

Back

Substitute b = 4 and c = 3 into the expression: 4(4*3 + 3) = 4(12 + 3) = 4(15) = 60.

Front

How do you evaluate the expression (y + z)^2 when y = -4 and z = -3?

Back

Substitute y = -4 and z = -3 into the expression: (-4 + (-3))^2 = (-7)^2 = 49.

Front

What is the value of the expression 3(z + x) - x when x = 2 and z = 1?

Back

Substitute x = 2 and z = 1 into the expression: 3(1 + 2) - 2 = 3(3) - 2 = 9 - 2 = 7.

Front

How do you evaluate the expression x^2 - z when x = 1 and z = -1?

Back

Substitute x = 1 and z = -1 into the expression: 1^2 - (-1) = 1 + 1 = 2.

Front

What is the importance of substituting values in algebraic expressions?

Back

Substituting values in algebraic expressions allows you to find specific numerical results based on the given variables.

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols.

Front

What is the difference between an expression and an equation?

Back

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