Solving Multi-step equations.

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

What does it mean to 'distribute' in algebra?

Back

Distributing means to multiply a single term by each term inside a set of parentheses. For example, in 3(x + 4), you would calculate 3*x + 3*4.

Front

How do you combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, 2x + 3x = 5x.

Front

What is the solution to the equation 3x + 15 = 3(x + 5)?

Back

Infinitely Many Solutions.

Front

How do you solve the equation 2x + 3(5x - 7) = 47?

Back

First, distribute: 2x + 15x - 21 = 47. Combine like terms: 17x - 21 = 47. Then, add 21 to both sides: 17x = 68. Finally, divide by 17: x = 4.

Front

Translate into an expression: '4 less than two times a number'.

Back

2x - 4.

Front

What is the solution to the equation -(n - 8) = -2?

Back

10.

Front

How do you solve the equation 3(x - 4) = -3?

Back

First, divide both sides by 3: x - 4 = -1. Then, add 4 to both sides: x = 3.

Front

What is the first step in solving a multi-step equation?

Back

Identify and isolate the variable by performing inverse operations.

Front

What does it mean if an equation has 'no solution'?

Back

It means that there are no values for the variable that will satisfy the equation.