Solving Equations

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 38 + 7k = 8(k + 4)?

Back

Distribute the 8 on the right side to get 38 + 7k = 8k + 32.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 7(2x - 4) = 42?

Back

x = 5.

Front

What is the first step to solve -3x - 11 = 44?

Back

Add 11 to both sides to get -3x = 55.

Front

What is the solution to the equation 2x - 3 = 1?

Back

x = 2.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

What is the solution to the equation 3(b - 4) = -3?

Back

b = 3.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.