4.2 Checkpoint Day 1:Multistep Equations

Front

What is a multistep equation?

Back

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

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the distributive property?

Back

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

How do you solve the equation -2x - 7 + 3x = 10?

Back

Combine like terms to get x - 7 = 10, then add 7 to both sides to find x = 17.

Front

What is the first step in solving the equation 5x - 14 = 8x + 4?

Back

The first step is to move all terms involving x to one side and constant terms to the other side, resulting in -3x = 18.

Front

How do you solve the equation 4 = 2(x + 3)?

Back

Use the distributive property to rewrite it as 4 = 2x + 6, then isolate x to find x = -1.

Front

What is the solution to the equation 2(1 - y) = -3(y - 2)?

Back

Distribute to get 2 - 2y = -3y + 6, then isolate y to find y = 4.

Front

How do you simplify the equation 3y + 6 + 4y - 7 = -8?

Back

Combine like terms to get 7y - 1 = -8, then isolate y to find y = -1.

Front

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

Back

Checking your solution ensures that the value satisfies the original equation, confirming that the solution is correct.