Unit 2 Extra Credit

Front

What does the absolute value of a number represent?

Back

The absolute value of a number represents its distance from zero on the number line, regardless of direction.

Front

What is the solution to the equation |3p + 4| - 8 = -6?

Back

The equation has no solution because the absolute value cannot be negative.

Front

What is the value of r in the equation if r = 112?

Back

r = 112 is a solution to the equation.

Front

What does it mean for an equation to have no solution?

Back

An equation has no solution when there are no values that can satisfy the equation.

Front

Solve the equation: p + 3.4 = 8.7

Back

p = 5.3

Front

What is the first step in solving an equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What is the definition of a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value in an equation or expression.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the process of checking a solution in an equation?

Back

The process involves substituting the solution back into the original equation to verify if both sides are equal.

Front

What is the significance of the equation having a negative result after applying absolute value?

Back

A negative result after applying absolute value indicates that the equation has no solution.