Solving Equations

Front

What is the first step to solve the equation 2y + 7 = 11?

Back

Subtract 7 from both sides to isolate the term with y.

Front

How do you isolate the variable in the equation 2x = x + 3?

Back

Subtract x from both sides to get x on one side.

Front

What is the principle behind solving the equation 5y + 34 = -2(-7y + 1)?

Back

Distribute the -2 on the right side and then combine like terms.

Front

What is the method to solve the equation 4(1-x) + 3x = -2(x + 1)?

Back

Distribute 4 and -2, then combine like terms and isolate x.

Front

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

Back

It means to find the value of x that makes the equation true.

Front

What is the solution to the equation 2(4x - 3) - 8 = 4 + 2x?

Back

x = 3.

Front

What is the importance of checking your solution after solving an equation?

Back

To ensure that the solution satisfies the original equation.

Front

What is a linear equation?

Back

An equation that can be written in the form ax + b = 0, where a and b are constants.

Front

What does it mean to combine like terms in an equation?

Back

It means to add or subtract terms that have the same variable raised to the same power.

Front

What is the role of the distributive property in solving equations?

Back

It allows you to multiply a single term by each term inside a parenthesis.