Mid-Chapter Quiz
M athX L® f o r School
Go t o Po w e r A l g e b r a.co mDo y o u k n o w H OW?
Use the triangle at the right. Find the missing
side length. If necessary, round to the
nearest tenth.- a = 20, b = 25
- a = 5,b = 12
- a = 14, c = 50
- b = 40, c = 41
2. a = 0.8, & = 1.5 - a = 2.2, b = 12
- a = 9, c = 41
- h = 36, c = 39
Determine whether the given lengths can be side
lengths of a right triangle.
9.8,15,17 10.5,24,25 11.60,80,100Simplify each radical expression.- V80
- V6x • V2x
16.18.- VTo • V l8
- 2 V 3 P • Vl2b
- VEc
-3V14X3
-V21x19.V45c3V^2- Sports A rectangular soccer field is 6w yards wide
and 10if yards long. What is an expression for the
distance from one corner to the opposite corner?
Find the area of each figure.
21.Simplify each radical expression.- 5V5 + 3V5
- 2 V28 — 3 V7
25. V § ( V 6 - 4 )
26. (2 V 2 l + 4 V3)(5 V 2 l - V 3)
27.
28.V3-2
3 + V 2
4V2 + 2
Find the exact solution for each equation. Find the
approximate solution to the nearest tenth.29.^5 VE + 2
30.V§- 2 *
x = 3V2
V 10 V 2 +1- Transportation A bus leaves the bus station and
drives 3.75 mi east. The bus then turns and drives
5 mi south. How far is the bus from the bus station?
Do y o u UN DERSTAN D?
- What type of angle is formed by the two legs of a
right triangle? - W riting How do you use a conjugate to simplify a
fraction with a radical expression in its denominator? - Reasoning Is the equation Va + Vb = Va + b
always, sometimes, or never true? Justify your answer. - Error Analysis Describe and correct the error shown
below in simplifying the radical expression.
x/l8y- Open-Ended Give the side lengths of a triangle that
is not a right triangle. Explain why these lengths
cannot be the side lengths of a right triangle.
632 Ch ap t er 10 Rad i cal Exp r essi o n s an d Eq u at i o n s