Solve Equations

Front

What is the first step to solve the equation -12 = -4x?

Back

Isolate the variable by dividing both sides by -4.

Front

What is the solution to the equation d + 5 = 10?

Back

d = 5

Front

How do you solve the equation -8 - b = -8?

Back

Add 8 to both sides to isolate b, resulting in b = 0.

Front

What is the solution to the equation -48 = -6a - 6?

Back

Add 6 to both sides, then divide by -6 to find a = 7.

Front

What is the solution to the equation 2x = -8?

Back

Divide both sides by 2 to find x = -4.

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to get the variable alone on one side of the equation.

Front

What is the principle of equality in solving equations?

Back

If you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.

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

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

Front

What is the solution set of an equation?

Back

The set of all possible solutions that satisfy the equation.