Understanding equations and solutions

Front

What is a variable in an equation?

Back

A variable is a letter or symbol used to represent an unknown number value in an equation.

Front

Identify the variable in the expression 8r - 3.

Back

The variable is r.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change.

Front

Identify the constant in the expression 8r + 3.

Back

The constant is 3.

Front

What does it mean for a value to be a solution of an equation?

Back

A solution of an equation is a value that, when substituted for the variable, makes the equation true.

Front

Which equation has x=9 as a solution?

Back

The equation 5x = 45 has x=9 as a solution.

Front

How do you solve the equation 2y = 30 for y?

Back

To solve for y, divide both sides of the equation by 2, resulting in y = 15.

Front

What is the solution set of the equation 2y = 30 if the options are y=10, 12, 24?

Back

None of the options are solutions; the correct solution is y=15.

Front

What is the purpose of using letters in algebraic expressions?

Back

Letters are used to represent unknown values, allowing for generalization and solving of equations.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.