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 solve an absolute value equation of the form |x - a| = b?

Back

To solve |x - a| = b, you set up two equations: x - a = b and x - a = -b, then solve for x.

Front

What does the equation |x + 1| = 5 represent?

Back

It represents two scenarios: x + 1 = 5 (x = 4) and x + 1 = -5 (x = -6).

Front

How can you express a range of values using absolute value?

Back

You can express a range of values as |x - a| = b, where 'a' is the center point and 'b' is the distance from 'a'.

Front

What is the significance of the equation |x - 300| = 25 in a real-world context?

Back

It describes the acceptable temperature range for roasting cocoa beans, indicating temperatures between 275°F and 325°F.

Front

How do you interpret the statement '50 dollars give or take 15' in terms of absolute value?

Back

It can be modeled as |x - 50| = 15, where x represents the actual amount of money.

Tags

CCSS.HSA.CED.A.3

Front

What is the solution set for the equation |x - 5.67| = 0.02?

Back

The solution set is {5.69, 5.65}, representing the acceptable weights of the quarters.

Front

What is the first step in solving the equation |x - 4| = 5?

Back

Set up the two equations: x - 4 = 5 and x - 4 = -5.

Front

What does the solution set {9, -1} indicate in the context of the equation |x - 4| = 5?

Back

It indicates that the values of x that satisfy the equation are 9 and -1.

Front

How do you graph an absolute value function?

Back

An absolute value function is V-shaped, with the vertex at the point where the expression inside the absolute value equals zero.

Tags

CCSS.HSF-IF.C.7D