Using Substitution to Solve an Equation

Front

What is substitution in solving equations?

Back

Substitution is a method used to replace a variable with a number or another expression to simplify and solve an equation.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to find the value of that variable that makes the equation true.

Front

What is the first step in solving the equation 2x - 5 = 15?

Back

Add 5 to both sides of the equation to isolate the term with the variable.

Front

How do you check if x = 3 is a solution for the equation 3x + 2 = 11?

Back

Substitute 3 for x in the equation: 3(3) + 2 = 11. If both sides are equal, then x = 3 is a solution.

Front

What is the solution to the equation 45 + z = 92?

Back

z = 92 - 45, so z = 47.

Front

How do you isolate the variable b in the equation 6b = 30?

Back

Divide both sides of the equation by 6 to find b.

Front

What is the value of x in the equation x + 12 = 20?

Back

x = 20 - 12, so x = 8.

Front

Back

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

What is the purpose of using equations in mathematics?

Back

Equations are used to represent relationships between quantities and to solve problems.