7.12 2-step equations practice problems

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What is the first step to solve the equation: x + 5 = 12?

Back

Subtract 5 from both sides to isolate x.

Front

Solve the equation: 3x - 4 = 11.

Back

x = 5.

Front

What is the solution to the equation: 2d + 3 = 11?

Back

d = 4.

Front

If you have the equation: x / 2 = 6, what is the first step to solve for x?

Back

Multiply both sides by 2.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

Solve the equation: 5x + 2 = 17.

Back

x = 3.

Front

What is the purpose of writing an equation based on a word problem?

Back

Writing an equation helps to translate a real-world scenario into a mathematical form that can be solved.

Front

In the equation 331 = 6x + 7, what does 'x' represent?

Back

'x' represents the number of students in each bus.