Test #4 REVIEW: 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 2x - 3 + 4x = 27?

Back

Combine like terms: 6x - 3 = 27.

Front

How do you isolate the variable in the equation 6x - 3 = 27?

Back

Add 3 to 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 is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

How do you solve the equation 7x - 3x - 8 = 24?

Back

Combine like terms to get 4x - 8 = 24, then isolate x to find x = 8.

Front

What is the solution to the equation 8x - 10 = -34?

Back

Add 10 to both sides to get 8x = -24, then divide by 8 to find x = -3.

Front

What is the process to solve -2n - 4 = 32?

Back

Add 4 to both sides to get -2n = 36, then divide by -2 to find n = -18.