Solving Equations (same side variables)

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more 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 are like terms in an equation?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

What is the first step in solving the equation 0.6x - 0.4 = 1.2?

Back

Add 0.4 to both sides to isolate the term with the variable.

Front

How do you eliminate decimals in an equation?

Back

You can eliminate decimals by multiplying each term by a power of 10 that makes all coefficients whole numbers.

Front

What is the solution to the equation 1.5x + 0.7 = 3.4?

Back

x = 1.8.

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 each term inside a parenthesis.

Front

Solve the equation: 7(2x - 4) = 42. What is x?

Back

x = 5.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

Front

What does it mean to balance an equation?

Back

Balancing an equation means performing the same operation on both sides to maintain equality.