Math 3 Absolute Value and Inverses Practice

Solve |2x –3| + 5 =10.

Check all solutions.

• x = 1

• x = -1

• x = 4

• x = -4

• No Solution

Solve for x.

l 2x−3 l = 4x−1

Check all solutions.

• x = -1

• x = 1

• $x=\frac{2}{3}$

• $x=-\frac{2}{3}$

• No Solution

Solve.

3|d - 4| ≥ 12

• no solution

• d ≥ 8 or d ≤ 0

Solve.

3|2d + 9| + 13 > 10

• d > 5 or d < -1

• d < -4 or d > 5

• No Solution

• All real numbers

Solve.
6 - 2|m -3| > -4

• -8 < m < 2
• m < -8 or m > 2
• m < -2 or m > 8
• -2 < m < 8

The rules for an essay contest say that entries can have 500 words with an absolute deviation of at most 30 words. Which inequality represents represents the acceptable number of words?

• |x - 30| < 500

• |x - 30| ≤ 500

• |x - 500| < 30

• |x - 500| ≤ 30

A company sells 20-ounce bottles of sports drink. The actual volume of liquid in the bottle must be within 0.03 ounces. What equation can be solved to find the minimum and maximum volume of liquid in a bottle.

• |v - 0.03|=20

• |v - 20|=0.03

• |v + 0.03|=20

• |v + 20|=0.03

Tags

CCSS.HSA.CED.A.3

Which is f ^-1(x)?

• f ^-1(x) = 5x + 3

• f ^-1(x) = 5x - 3

• f ^-1(x) = 5x - 15

• f ^-1(x) = 1/5(x) + 3/5

Tags

CCSS.HSF-BF.B.4A

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Tags

CCSS.HSF-BF.B.4D

The table of f(x) is given.

What is the value of f^-1(2)?

• -4

• -2

• 1

• 5

Tags

CCSS.HSF-BF.B.4C