Solving Equations

Front

What is the first step to isolate the variable in the equation x - 62 = 123?

Back

Add 62 to each side.

Front

What is the solution to the equation n + 2 = -14 - n?

Back

-8

Front

How do you solve for w in the equation -6w + 1 = -11?

Back

w = 2

Front

What is the solution for y in the equation 8(7 - y) = -24?

Back

y = 10

Front

What type of solution does the equation x + 7 = 7 + x have?

Back

Infinitely many solutions.

Front

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

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

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 the solution to the equation 3x + 5 = 20?

Back

x = 5.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 2y - 4 = 10?

Back

y = 7.