Absolute Value

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 the equation |x| = a?

Back

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

Front

What is the absolute value of -7?

Back

|-7| = 7.

Tags

CCSS.6.NS.C.7C

Front

What is the absolute value of 5?

Back

|5| = 5.

Tags

CCSS.6.NS.C.7C

Front

How do you interpret the equation |x - 3| = 5?

Back

This means that the distance between x and 3 is 5, leading to two possible solutions: x - 3 = 5 or x - 3 = -5.

Front

Solve the equation |2x + 9| = 15.

Back

x = 3 or x = -12.

Front

What does the equation |x - 16| = 0.5 represent in a real-world context?

Back

It represents the acceptable weight range for a bag of coffee, where the weight can be 0.5 ounces more or less than 16 ounces.

Tags

CCSS.HSA.CED.A.3

Front

If |x| < 4, what are the possible values of x?

Back

The possible values of x are -4 < x < 4.

Front

What is the solution to the inequality |x + 2| > 3?

Back

The solutions are x < 1 or x > 1.

Front

How do you graph the absolute value function y = |x|?

Back

The graph is a V-shape that opens upwards, with the vertex at the origin (0,0).

Tags

CCSS.HSF-IF.C.7A