Algebra 2 - Monster Quiz Abs. Value Inequalities

Solve and graph:

• A
• B
• C
• D

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

Solve.
|p + 3| ≥ 10

• -13 ≤ p ≤ 7
• p ≤ -13 or p ≥ 7
• -7 ≤ p ≤ 13
• p ≤ -7 or p ≥ 13

Which graph represents the solution to the absolute-value inequality:

I 3x + 9 I > 27

• 
• 
• 
• 

Answer explanation

Remember what sort of graph > means for absolute-value.

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution

What is the decreasing interval on the function shown?

• $\left(-\infty,\ 1\right)$

• $\left(-\infty,\ 2\right)$

• $\left(2,\ \infty\right)$

• $\left(1,\ \infty\right)$

If the domain of the given function is {-1, 0, 1}, then what is the range?

f(x) = -2x + 1

• {-1, 1, 3}

• {-3, -1, 1}

• {-1, 0 ,1}

• {0, 3}

What is the domain of the graph?

Select one.

• {-1, 1, 2}

• {-2, 1, 2, 3}

• {-1 ≤ y ≤ 2}

• {-2 ≤ x ≤ 3}

Which function is graphed?

• f(x) = 2|x - 4| - 3

• f(x) = ¹/₂ |x + 4| - 3

• f(x) = ¹/₂|x - 3| - 4

• f(x) = 2|x + 3| + 4

Which equation could be used to solve for x?

• $\sin\left(37\right)=\frac{x}{14}$

• $\cos\left(37\right)=\frac{x}{14}$

• $\tan\left(37\right)=\frac{x}{14}$

• $\sin\left(37\right)=\frac{14}{x}$