Solving Absolute Value Equations — Unit test Answers

What is the solution to 3|–3x + 9| = –18?

On the freeway, it is unsafe to drive too slowly or too quickly. The safest driving speeds on the freeway near Allan’s town were scientifically determined to be between the minimum and maximum speeds (in miles per hour) according to the equation |x – 55| = 4.2. Which equation can be used to determine the maximum safe driving speed?

Which graph shows the solution to the inequality ?

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Which graph shows a function with a range of all real numbers greater than or equal to –1?

Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below.3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5|=0.5 0.5x+1.5=0.5 0.5x=−1 x=−2

Which describes the range of the parent absolute value function?

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 2).

Fuaad solved an absolute value inequality and expressed the solution as . What is another way to show Fuaad’s solution?

Which statement is true about ?

Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

What is the vertex of the graph of f(x) = |x + 3| + 7?

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Laurie is trying to stay within 10 feet of her current diving depth of –30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?