Lesson 4.2 Task #3

Front

What is the process to isolate a variable in an equation?

Back

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

Front

How do you solve a linear equation with one variable?

Back

To solve a linear equation, combine like terms, use inverse operations to isolate the variable, and simplify the equation.

Front

What does it mean to solve for 'w' in the equation -6w + 1 = -11?

Back

It means to find the value of 'w' that makes the equation true by isolating 'w' on one side.

Front

What is the first step in solving the equation 8 + (b / -4) = 5?

Back

Subtract 8 from both sides to begin isolating 'b'.

Front

How do you eliminate fractions in an equation like (w / 3) + 6 = 8?

Back

Multiply every term by the denominator (in this case, 3) to eliminate the fraction.

Front

What is the solution to the equation (2/5)h + 6 = 8?

Back

First, subtract 6 from both sides, then multiply by the reciprocal of (2/5) to solve for 'h'.

Front

What is the significance of the coefficient in a linear equation?

Back

The coefficient indicates how much the variable is multiplied by and affects the slope of the line represented by the equation.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What does it mean to solve for 'x' in the equation -11 - 5x = 44?

Back

It means to find the value of 'x' that satisfies the equation by isolating 'x'.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.