MAYmester Check In: Analyze and Solve Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean to solve for x in an equation?

Back

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

Front

What is the first step in solving the equation 6(2x + 1) = 18?

Back

Distribute the 6 to both terms inside the parentheses: 12x + 6 = 18.

Front

How do you isolate the variable x in the equation 2x + 5 = 12?

Back

Subtract 5 from both sides to get 2x = 7, then divide by 2 to find x = 3.5.

Front

What is the solution to the equation 4x + 1 = 7x - 5?

Back

The solution is x = 2.

Front

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

Back

Substitute the value of x back into the original equation to see if both sides are equal.

Front

What does it mean if an equation has no solution?

Back

It means there is no value of x that can satisfy the equation, often resulting in a false statement.

Front

What is the solution to the equation 12 = 20x - 18?

Back

The solution is x = 2.

Front

What is the importance of balancing an equation?

Back

Balancing an equation ensures that both sides remain equal when performing operations.

Front

What is the term for the highest power of the variable in a polynomial?

Back

The term is called the degree of the polynomial.