Absolute Value Equation and Inequality Practice

Solve the following inequality:

|x + 3| > − 8

• x > 5 or x < −11

• x > 5

• all real numbers

• no solution

Solve the following inequality:

−5|x − 4| > −20

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

Solve the following inequality:

| 3x − 9 | < 3

• x < −10 or x > −2

• −10 < x < −2

• x < 2 or x > 4

• 2 < x < 4

Solve the following equation:

|6 − 2k| = 18

• k = −6, k = 6

• k = −6, k = 12

• k = −6, k = −12

• k = −6, k = 5

Solve the following equation:

−2|−2r − 4| = −12

• {3, 1}

• {−5, 1}

• {−5, 5}

• No Solution

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.

• Absolute value does not always have to be positive.

• Absolute value is like a clock it has only positive numbers.

• Absolute value is talking about distance, distance is always measured by positive numbers.

Tags

CCSS.6.NS.C.7C

What type of graph is this?

• Linear

• Quadratic

• Cubic

• Absolute Value

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = -|2x - 3| + 5

• f(x) = -|x + 5| - 3

• f(x) = -|2x + 6| + 5

• f(x) = -2|x + 5| - 3

Tags

CCSS.HSF-IF.C.7D

What is the first step?

• Get the absolute value alone by dividing both sides by 5

• Drop the absolute value bars and add 7 and 5 together

• Get the absolute value alone by subtracting 5 from both sides

Which equation does this graph help us solve?

• -3 = |x+1| +2

• 4 = |x+1| + 2

• 1 = |x+1| + 2

• None of the above