Solving Equations TR #1

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation 6(x + 3) = 48 after distributing?

Back

6x + 18 = 48.

Front

What do you do after distributing in the equation 6x + 18 = 48?

Back

Subtract 18 from both sides to get 6x = 30.

Front

What is the final step to solve for x in the equation 6x = 30?

Back

Divide both sides by 6 to find x = 5.

Front

What happens when you distribute 1/2 to the expression (4x - 10)?

Back

The new expression is 2x - 5.

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the value found satisfies the original equation.