Name:
Unit 7 SUMMATIVE: Radicals and the Pyth Theorem
Evaluate the expressions
1. √169
2. −√121
3. ±√400
4. −√100
Determine whether the number is a perfect square; write YES or NO
5. -9
6. 49
7. 500
8. 81
Evaluate the expression. Give the exact value if possible. Otherwise, approximate to the
nearest hundredth.
9. −√49
10.
√32
11.
−√225
Evaluate √𝑏 2 − 4𝑎𝑐 for the given values
12.
a = 10, b = -21, c = 9
Use a calculator to evaluate the expression. You should get two answers. Round the results to
the nearest hundredth.
13.
−5±2√3
3
Solve the equation. Write the solution as integers if possible. Otherwise write them as
radical expressions. ( Show steps clearly…Criteria C!)
14.
𝑥 2 + 4 = 16
16.
𝑚2 = 0
15.
3 − 2𝑥 2 = −33
17.
9𝑥 2 + 15 = 40
Use a calculator to solve the equation. Round the result to the nearest hundredth.
18.
5𝑥 2 − 10 = 3
Simplify the expression.
19.
√20
20.
√112
21.
√
22.
6√
23.
√12 ∙
24.
32
50
28
9
√18
√3
A rectangle has width 2√5 and length√20. Find its area.
25.
Find the missing lengths of the right triangle if a and b are the lengths of the legs
and c is the length of the hypotenuse. BE sure to START with the Pythagorean Theorem.
( Criteria C )
a. a = 12, b = x, c = 25
b. a = 3, b = x, c = √13
26.
Are 12, 8 and 17 lengths of a right triangle? Explain your reasoning.
27.
The diagonal of a square patio is 20 feet. What is the length of each side of the
patio? Round your answer to the nearest foot.