Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

How do you evaluate an expression with a variable?

Back

To evaluate an expression with a variable, substitute the variable with a given value and perform the arithmetic operations.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What does the term 'variable' refer to in algebra?

Back

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

Front

How can you express 'the sum of 12 and t' in algebraic form?

Back

The algebraic expression for 'the sum of 12 and t' is 12 + t.

Front

What is the result of evaluating the expression 3(n + 1) when n = 4?

Back

The result is 15.

Front

What operation is represented by the expression 6h?

Back

The expression 6h represents multiplication, specifically 6 times h.

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

How do you simplify the expression 2(x + 3) + 4?

Back

To simplify, distribute the 2 to get 2x + 6, then add 4 to get 2x + 10.

Front

What does it mean to 'combine like terms' in an expression?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.