Variables on both sides

Front

What is the first step to solve the equation: 8 - 4y = 20?

Back

Subtract 8 from both sides.

Front

Solve: 3x + 16 = 7x + 64

Back

x = -12.

Front

Solve for x: 4(1-x) + 3x = -2(x+1)

Back

x = -6.

Front

Solve: 5y + 34 = -2(-7y+1)

Back

y = 4.

Front

Solve: -3x + 20 = 2x - 40

Back

x = 12.

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 opposite side.

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

What is the principle of equality in algebra?

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 ax + b = c.

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.