Download Pre-Calculus 11 Chapter 2 Study Guide

Pre-Calculus 11
Chapter 2
Study Guide
Which point on the number line has an absolute value of 4?
____ 1.
Z
–10
–8
–6
A. X
____ 2.
–4
–2
Y W
X
0
2
B. W
4
6
8
10
C. Z
D. Y
What is the absolute value of the number represented by point Y on the number line?
Y
–5
–4
–3
A. –1
–2
–1
B. –2.5
0
1
2
3
4
C. 2.5
____ 3.
A. 3
What is the distance between –8 and 5 on a number line?
B. 6
C. 13
____ 4.
Evaluate:
A. 4.9
____ 5.
Evaluate:
A. –7.3
D. 16.5
B. 4.1
C. 205.9
D. –194.1
____ 7.
Write this entire radical as a mixed radical:
A.
____ 9.
A.
B.
D. –13
C. –9.8
Write this mixed radical as an entire radical:
B.
C.
____ 8.
D. 1
B. 2.21
____ 6.
A.
A.
5
B.
C.
D.
D.
Write this entire radical as a mixed radical:
B.
C.
D.
For which values of the variable, x, is this radical defined?
C.
D.
____ 10.
Write this radical in simplest form:
Then state the values of the variables, a and b, for which the radical is defined.
A.
C.
B.
D.
____ 11.
A.
B.
Which radical expression simplifies to
____ 12.
A.
B.
C.
D.
Which radical expression simplifies to
____ 13.
A.
B.
C.
D.
Which radical expression simplifies to
____ 14.
A.
Simplify by adding or subtracting like terms:
B.
C.
____ 15.
Identify the values of the variable for which each radical is defined, then simplify.
A.
B.
____ 16.
A.
____ 19.
A.
B.
C.
D.
D. 0
Expand and simplify this expression:
C.
D.
Expand and simplify this expression:
A.
B.
____ 18.
?
C.
D.
A.
B.
____ 17.
?
C.
D.
C.
D.
Rationalize the denominator:
B.
Expand and simplify this expression:
C.
D.
____ 20.
Expand and simplify this expression:
A.
C.
B.
D.
____ 21.
Simplify this expression:
A.
B.
C.
D.
____ 22.
A.
____ 23.
A.
Solve this equation:
B.
9
4
x=
x=
4
9
Solve this equation:
B.
____ 24.
Which equation has a real root?
i)
ii)
iii)
iv)
A. ii
B. iv
____ 25.
C.
x=
16
81
D.
x=
81
16
C.
D.
C. iii
D. i
C. x = 7
D. x = 3
Solve this equation:
A. x = 144
B. x = 12
Chapter 2 Practice Test
Answer Section
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C
2.1 Absolute Value of a Real Number
D
2.1 Absolute Value of a Real Number
C
2.1 Absolute Value of a Real Number
A
2.1 Absolute Value of a Real Number
D
2.1 Absolute Value of a Real Number
D
2.2 Simplifying Radical Expressions
D
2.2 Simplifying Radical Expressions
D
2.2 Simplifying Radical Expressions
A
2.2 Simplifying Radical Expressions
A
2.2 Simplifying Radical Expressions
B
2.3 Adding and Subtracting Radical Expressions
D
2.3 Adding and Subtracting Radical Expressions
A
2.3 Adding and Subtracting Radical Exp
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D
2.3 Adding and Subtracting Radical Exp
C
2.3 Adding and Subtracting Radical Exp
D
2.4 Multiplying and Dividing Radical Exp
B
2.4 Multiplying and Dividing Radical Exp
A
2.4 Multiplying and Dividing Radical Exp
A
2.4 Multiplying and Dividing Radical Exp
B
2.4 Multiplying and Dividing Radical Exp
B
2.4 Multiplying and Dividing Radical Exp
C
2.5 Solving Radical Equations
B
2.5 Solving Radical Equations
B
2.5 Solving Radical Equations
A
2.5 Solving Radical Equations