Evaluating Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What does it mean to evaluate an algebraic expression?

Back

To evaluate an algebraic expression means to substitute the values of the variables into the expression and perform the operations to find a numerical value.

Front

What is the solution to the equation 4(-8x + 5) = -32x - 26?

Back

No solution.

Front

How do you solve the equation 5x - 14 = 8x + 4?

Back

Rearranging gives x = -6.

Front

What is the solution to the equation 3x + 5 = 2x - 10?

Back

x = -15.

Front

What is the solution to the equation -3(2x - 8) = -12?

Back

x = 6.

Front

What is the solution to the equation -2x = -16?

Back

x = 8.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value of the variable satisfies the equation, meaning the two sides are always equal.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that can make the equation true.

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.