Absolute Value Word Problems

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Tags

CCSS.6.NS.C.7C

Front

How do you write an absolute value equation for a situation where a value is within a certain range of a target value?

Back

The equation is written as |x - target| = range, where 'target' is the central value and 'range' is the allowable deviation.

Tags

CCSS.HSA.CED.A.3

Front

What does the equation |x - 750| = 250 represent?

Back

It represents that the value x is 250 units away from 750, meaning x can be 1000 or 500.

Front

How do you solve the equation |v - 20| = 0.03?

Back

To solve, set up two equations: v - 20 = 0.03 and v - 20 = -0.03. This gives v = 20.03 and v = 19.97.

Front

What is the solution set for the equation |x - 50| = 15?

Back

The solution set is {35, 65}, meaning x can be 35 or 65.

Front

What does the equation |x - 75| = 6.50 indicate about Victor's earnings?

Back

It indicates that Victor's earnings are between $68.50 and $81.50.

Front

How do you interpret the absolute value equation |x + 5| = 10?

Back

It means x is either 10 - 5 = 5 or -10 - 5 = -15, so the solutions are x = 5 or x = -15.

Front

What is the graphical representation of an absolute value function?

Back

The graph of an absolute value function is a V-shape, opening upwards, with the vertex at the point where the expression inside the absolute value equals zero.

Tags

CCSS.HSF-IF.C.7D

Front

What is the significance of the 'range' in an absolute value equation?

Back

The 'range' indicates how far the actual value can deviate from the target value.

Front

How do you express a situation where a measurement is exactly a certain value?

Back

You would use the equation |x - value| = 0, indicating that x must equal the value.

Tags

CCSS.HSA.CED.A.3