Writing Algebraic Expressions, Equations, and Exponents

Front

What is an algebraic expression?

Back

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

Front

What does it mean to write an expression for 'six times the number of girls'?

Back

It means to multiply the variable representing the number of girls (g) by 6, resulting in the expression 6g.

Front

How do you represent '78 less than Franklin's test score' using a variable F?

Back

You represent it as F - 78.

Front

What is the equation for 'six more than some number equals 52'?

Back

The equation is 6 + x = 52.

Front

How do you express 'two more than 4 times a number'?

Back

You express it as 2 + 4x.

Front

What does '9 fewer than the total number of people' mean in terms of a variable t?

Back

It means t - 9.

Front

What is a variable in algebra?

Back

A variable is a symbol (often a letter) that represents an unknown number. For example, x and y are common variables.

Front

What is an equation?

Back

An equation is a mathematical statement that shows that two expressions are equal, using the equal sign (=). For example, 2x + 3 = 7 is an equation.

Front

What is the difference between an expression and an equation?

Back

An expression does not have an equal sign and cannot be solved, while an equation has an equal sign and can be solved for a variable.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with numbers.