Download Unit 5 REVIEW

Unit 5 REVIEW
Name: _________________
Hour: _______
LT 1ab: I can estimate a square root and graph a square root on a number line.
Estimate to the nearest tenth. Show your work. No calculator.
1) 11
√
5)
2)
3) ­ 90
√
√68
4)
√32
Find each square root, plot its location on the number line, label it with its letter.
­ 3 =
√
A.
B.
C.
­ 16 =
√
4
√16 =
D. √5 =
E. 18 =
√
F. √ 22 =
LT1c: I can simplify square root expressions.
Simplify the square root. Show work.
6) √
48
7)
­2√32
8)
75
√ x
2
LT 2ab: I can determine if a number is rational or irrational. I can classify the sum or product of rational and irrational numbers.
9) Circle the irrational numbers.
√121 12
17
1
√ 16
­ 18 √
.233
√11 0 π
2
­ 10.2 ­ 1000 √
­20 Identify each sum or product as rational or irrational.
10) √ 4 + 11 √
11) √49 + 4 12) √10
13) √16
√10 =
√3 =
LT 3: I can simplify expressions containing grouping symbols.
(square roots, fraction bar, absolute value)
14) Simplify when x = 3.
√10 + 8
x
16) Simplify.
3 + 2√2 6
15)
Simplify when x = 19.
­√ 2 8 + x
17) Simplify when x = 15.
50 + x ­ 20 √16 LT 4: I can solve equations containing square roots and fraction bars.
18) Solve and check.
8 + 3x ­2 = ­10
20) Solve and check.
19) Solve and check.
4 = √3x ­ 2
21) Solve and check.
(hint: there are two answers)
y2 ­ 42 = ­2
m2 + 9 = 5
LT 5: I can use Pythagorean Theorem to find the length of an unknown side length.
22) Is this a right triangle? Justify your answer.
23) Find the unknown side length.
x
7
13
24) Find the unknown side length.
√37
3
x
25) Hank leans a 12 foot ladder up on a wall. The base of a ladder is placed 3 feet from a wall. How high up the wall does the ladder reach?
picture:
work:
**Write your answer in a complete sentence:
__________________________________________________________
26) A pool is 45 feet wide and 30 feet long. You swim diagonally across the pool. How far did you swim?
picture:
work:
**Write your answer in a complete sentence:
__________________________________________________________
LT 6: I can calculate the distance between two points using the distance formula.
27) Find the distance between the 2 points.
y
x
Use the distance formula to find the distance between the 2 points.
28) (3 , 1) and (8 , 3)
29)
(­7 , 6) and (­1 , 4)