Multi-step Equation Flashcard

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What is the first step to solve the equation 8 = x + 1?

Back

Subtract 1 from both sides to isolate x: 8 - 1 = x, which simplifies to x = 7.

Front

How do you solve the equation -8(-8x - 6) = -6x - 22?

Back

First, distribute -8: 64x + 48 = -6x - 22. Then, combine like terms and isolate x to find x = -1.

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side by itself, making it easier to solve.

Front

What is the solution to the equation 4 + k/2 = -3?

Back

To solve for k, first subtract 4 from both sides: k/2 = -3 - 4, which simplifies to k/2 = -7. Then multiply both sides by 2 to find k = -14.

Front

How do you solve the equation 5x - 14 = 8x + 4?

Back

Rearrange the equation to isolate x: 5x - 8x = 4 + 14, which simplifies to -3x = 18. Then divide by -3 to find x = -6.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

First, distribute -4: 8v - 4v - 32 = 8. Combine like terms to get 4v - 32 = 8, then add 32 to both sides and divide by 4 to find v = 10.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power, simplifying the expression.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution involves substituting the value back into the original equation to ensure both sides are equal, confirming the solution is correct.