Module 6.5 Review

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

Front

Write the equation for a quarter's weight that is accepted by the machine.

Back

|x - 5.67| = 0.02

Front

How do you solve the equation |v + 8| - 5 = 2?

Back

Add 5 to both sides: |v + 8| = 7. Then, solve for v: v + 8 = 7 or v + 8 = -7, giving v = -1 or v = -15.

Front

What is the smallest value of v in the equation |v + 8| - 5 = 2?

Back

The smallest value of v is -15.

Front

What does the equation y = |x - 3| represent?

Back

It represents a V-shaped graph that opens upwards with its vertex at (3, 0).

Front

How do you calculate the lowest number of members following a workout plan with a margin of error?

Back

Calculate 9% of 600, which is 54. With a margin of error of ±4%, the lowest number is 54 - 24 = 30.

Front

Write the equation for the ideal roasting temperature of cocoa beans.

Back

|x - 300| = 25

Front

What is the maximum temperature for roasting cocoa beans?

Back

The maximum temperature is 300 + 25 = 325 degrees Fahrenheit.

Front

What is the minimum temperature for roasting cocoa beans?

Back

The minimum temperature is 300 - 25 = 275 degrees Fahrenheit.

Front

What does the equation |x - a| = b represent?

Back

It represents two possible equations: x - a = b and x - a = -b, leading to two solutions.