7.10A- Solving Two Step Linear Equations

Front

What is a two-step linear equation?

Back

A two-step linear equation is an equation that requires two operations to solve for the variable. It typically takes the form ax + b = c.

Front

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

Back

To isolate a variable, perform inverse operations: first, eliminate the constant term by adding or subtracting, then eliminate the coefficient by multiplying or dividing.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides to start isolating the variable.

Front

Solve for x: 2x + 5 = 15.

Back

x = 5.

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

If 4y - 9 = -36, what is y?

Back

y = -4.

Front

What is the equation to find the number of teddy bears t that must be sold to cover costs?

Back

1500 + 8t = 12t.

Front

Solve for a: 26 = 5a + 1.

Back

a = 5.

Front

What is the solution to the equation 6 - 3a = 21?

Back

a = -5.

Front

What is the inverse operation of addition?

Back

Subtraction.