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 4p = 16?

Back

Divide both sides by 4 to isolate p: p = 16 / 4, which simplifies to p = 4.

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 and all other terms are on the opposite side.

Front

What is the solution to the equation -8(-8x - 6) = -6x - 22?

Back

The solution is x = -1.

Front

How do you solve the equation x/3 = 4?

Back

Multiply both sides by 3 to isolate x: x = 4 * 3, which simplifies to x = 12.

Front

What is the process to solve the equation 3c + 5 = 23?

Back

First, subtract 5 from both sides: 3c = 23 - 5. Then divide by 3: c = 18 / 3, which simplifies to c = 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 does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its accuracy.