Solving Equations

Front

What is the first step in solving the equation -(n - 8) = -2?

Back

Distribute the negative sign: -n + 8 = -2.

Front

How do you isolate the variable in the equation -3a + 8 = 14?

Back

Subtract 8 from both sides: -3a = 6, then divide by -3: a = -2.

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 solution to the equation -11 + 3(b + 5) = 7?

Back

b = 1.

Front

How do you solve for y in the equation -5 - 7y = -20y + 34?

Back

Add 20y to both sides and then isolate y: y = 3.

Front

What is the process to solve the equation 2x - 3 + 4x = 27?

Back

Combine like terms to get 6x - 3 = 27, then solve for x: x = 5.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

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

Back

Substituting the solution back into the original equation to verify that both sides are equal.

Front

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

Back

It allows you to eliminate parentheses by multiplying a term across the terms inside the parentheses.

Front

What is the goal when solving an equation?

Back

To isolate the variable on one side of the equation.