Substitution

Front

What is substitution in algebra?

Back

Substitution in algebra is the process of replacing a variable with a specific value or another expression to simplify or solve an equation.

Front

How do you evaluate an expression with multiple variables?

Back

To evaluate an expression with multiple variables, substitute each variable with its corresponding value and then perform the arithmetic operations.

Front

What is the value of the expression 2xz when x = 3, z = -4?

Back

The value is -24.

Front

How do you calculate the square of a variable?

Back

To calculate the square of a variable, multiply the variable by itself (e.g., x^2 = x * x).

Front

What is the value of the expression 2x^2 + z^2 when x = 3 and z = -4?

Back

The value is 34.

Front

If y = 7, what is the value of 2(y + 4)?

Back

The value is 22.

Front

What is the result of the expression a + b when a = 3 and b = 4?

Back

The result is 7.

Front

What does it mean to evaluate an expression?

Back

Evaluating an expression means calculating its value by substituting variables with numbers and performing the necessary operations.

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

How do you handle negative numbers in algebraic expressions?

Back

When handling negative numbers, apply the rules of arithmetic carefully, remembering that multiplying or dividing two negative numbers results in a positive number.