Download Lesson 0 – 9: Square Roots and Simplifying Radicals

Academic Geometry
Name: ___________________________________
Chapter 0 – Preparing for Geometry
The concepts in chapter 0 are review from previous courses.
Lesson 0 – 1: Changing Units of Measure Within Systems
1.) State which customary unit you would use to measure the length of
the classroom.
2.) Complete each sentence:
a. 8.7 km = _____ m
b. 18.3 ft = ______ yd
c. 220mm = ______ m
d. 9,680 yd = ______ mi
e. 12.5 L = _______ mL
f.
24.8 qt = ______ gal
g. 12 pt = ______ fl oz
h.
7 gal = ______ pt
Lesson 0 – 2: Changing Units of Measure between Systems
3.) Complete each sentence:
a. 35 cm = _____ in
b. 8 mi = ______ km
c. 1500 yd = ______ km
d. 8 L = ______ qt
e. 3 pt = _______ L
f.
g. 37.5 lb = ______ kg
h. 90 g = ______ oz
Lesson 0 – 3: Simple Probability
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24 L = ______ gal
4.) Suppose that a die is rolled. What is the probability of rolling a 5?
5.) Suppose that a bad contains 5 white, 3 red, and 4 black marbles.
What is the probability that a randomly chosen marble will not be
white?
6.) The table shows the results of an experiment in which a number cute
was rolled. Find the experimental probability of a rolling a 4.
Lesson 0 – 4: Algebraic Expressions
7.) Evaluate each expression
a. 𝟐𝒙 + 𝟏𝟎 − 𝒚 if 𝒙 = −𝟒 and 𝒚 = 𝟔
b. 𝟓𝒂𝟐 𝒃 if 𝒂 = 𝟐 and 𝒃 = 𝟔
8.) Evaluate if 𝒂 = −𝟑 , 𝒃 = −𝟓 , 𝒄 = 𝟕 .
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a. – 𝒃(𝒂𝟐 − 𝟑𝒄)
b.
𝒂𝒃−𝟑
𝒄−𝟏
9.) Evaluate 𝟒|𝒌 + 𝒏| + 𝟑|𝟔 − 𝒑| if 𝒌 = −𝟑, 𝒏 = −𝟓, 𝒂𝒏𝒅 𝒑 = 𝟒
Lesson 0 – 5: Linear Equations
10.)
Solve each equation.
b. 4(a  3)  13
a. y  5  22
c.
2
x  14
3
d. 
e. 6d  8  64
m
 8
4
f. 10x  4  3x  18
Lesson 0 – 6: Linear Inequalities
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11.)
Solve each inequality.
a. x  22  15
c.
b. n  15  10
d. 7y  98
a
 12
5
b
 6
15
e.
8x  48
f. 
g.
3x  14  11
h. 3w  8  6w  1
Lesson 0 – 7: Ordered Pairs
12.)
Write the ordered pair for each point.
a. A
y
A
O
x
b. B
13.)
Graph and label each point on a coordinate plane. Name the
B
quadrant in which each point is located.
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a. G (3,4)
b. H (3, 2)
c. J (0,3)
14.)
Graph a polygon with vertices A (2, 4) , B( 2,4), C (4,1) , and
D(0,1).
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Lesson 0 – 8: Systems of linear Equations
15.)
Solve each system of equations by graphing. Then determine
whether each system has no solution, one solution, or infinitely many
solutions.
a. y  x  1
y  3x  1
16.)
b.
4y  2x  8
2y  x  2
Use substitution to solve the system of equations.
y  2x
3y  4x  7
17.)
Use elimination to solve the system of equations.
2x  3y  6
3x  2y  6
Lesson 0 – 9: Square Roots and Simplifying Radicals
Page 6 of 7
18.)
Simplify.
a.
c.
e.
48
b.
5  10
81
25
3 6 7
18x y z
d.
3
5
f.
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14x
20