solving equations

Front

What is the first step to solve the equation: 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Solve: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions.

Front

What is an equation?

Back

A mathematical statement that asserts the equality of two expressions.

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 purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

What is the distributive property?

Back

a(b + c) = ab + ac, used to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you solve for x in the equation: 2x + 4 = 12?

Back

Subtract 4 from both sides, then divide by 2 to get x = 4.

Front

What is a solution to an equation?

Back

A value that makes the equation true when substituted for the variable.

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that can satisfy the equation.

Front

What is the first step to solve the equation: 5x - 3 = 2x + 6?

Back

Subtract 2x from both sides.