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 isolate the variable and solve for its value.

Front

How do you solve the equation -(n - 8) = -2?

Back

First, distribute the negative sign: -n + 8 = -2. Then, subtract 8 from both sides: -n = -10. Finally, multiply by -1 to get n = 10.

Front

What is the solution to the equation -5x = 25?

Back

To solve for x, divide both sides by -5: x = 25 / -5, which simplifies to x = -5.

Front

How do you combine like terms in the expression 6x + 2x + 1 + 4?

Back

Combine the coefficients of like terms: 6x + 2x = 8x. Then, combine the constants: 1 + 4 = 5. The simplified expression is 8x + 5.

Front

What is the first step to solve the equation 22 + 2a = 37 + 6 + a?

Back

First, simplify the right side: 37 + 6 = 43. The equation becomes 22 + 2a = 43 + a.

Front

How do you isolate the variable a in the equation 22 + 2a = 43 + a?

Back

Subtract a from both sides: 22 + a = 43. Then, subtract 22 from both sides: a = 21.

Front

What is the solution to the equation 3c = 12?

Back

To solve for c, divide both sides by 3: c = 12 / 3, which simplifies to c = 4.

Front

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

Back

Isolating a variable means manipulating the equation to get the variable on one side and all other terms on the opposite side.

Front

What is the importance of combining like terms in algebra?

Back

Combining like terms simplifies expressions and makes it easier to solve equations.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.