Multistep Equations Classwork

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change. In the equation 6x + 12 = 36, the constant is 12.

Front

How do you solve the equation 3x - 7 = 32?

Back

To solve for x, add 7 to both sides to get 3x = 39, then divide by 3 to find x = 13.

Front

Solve the equation: 5x + 15 = 10x - 40.

Back

To solve for x, first rearrange the equation: 15 + 40 = 10x - 5x, which simplifies to 55 = 5x. Thus, x = 11.

Front

What is the solution to the equation -2x + 18 = 2x + 40?

Back

Rearranging gives 18 - 40 = 2x + 2x, which simplifies to -22 = 4x. Therefore, x = -5.5.

Front

What number satisfies the equation 3(2x + 3) - x = x - 23?

Back

To solve, distribute and combine like terms to find x = -8.

Front

What is a multistep equation?

Back

A multistep equation requires more than one step to isolate the variable and solve for its value.

Front

What is the first step in solving the equation 6x + 12 = 36?

Back

The first step is to subtract 12 from both sides to isolate the term with the variable.

Front

How do you check your solution for an equation?

Back

Substitute the value of the variable back into the original equation to see if both sides are equal.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side by itself.

Front

What is the importance of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.