Evaluate Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

Front

How do you evaluate an algebraic expression?

Back

To evaluate an algebraic expression, 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 order of operations (PEMDAS) stand for?

Back

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

Front

What is the value of 'b' in the expression 7b when b = 4?

Back

The value of 'b' in the expression 7b when b = 4 is 28.

Front

How do you simplify the expression 2(a - 5) + 2?

Back

To simplify the expression 2(a - 5) + 2, distribute the 2 to get 2a - 10 + 2, which simplifies to 2a - 8.

Front

What is the result of evaluating b^2 + 4 when b = 3?

Back

The result is 3^2 + 4 = 9 + 4 = 13.

Front

If m = 7, r = 8, and t = 2, what is the value of 4m + t?

Back

The value is 4(7) + 2 = 28 + 2 = 30.

Front

What is the expression for the area of a rectangle with length 'l' and width 'w'?

Back

The area of a rectangle is given by the expression A = l * w.

Front

How do you evaluate the expression 2 + (12 - 5x) ⋅ 2y when x = 2 and y = 5?

Back

Substituting x = 2 and y = 5 gives 2 + (12 - 5(2)) ⋅ 2(5) = 2 + (12 - 10) ⋅ 10 = 2 + 2 ⋅ 10 = 2 + 20 = 22.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.