Name _________________________________________
Date ____________________
Standardized Test
CHAPTER
For use after the chapter “Quadratic Functions and Factoring”
Multiple Choice
1. For the function y = –x – 6x – 7, find the
vertex and axis of symmetry.
2
Ⓐ vertex (3, – 2); axis of symmetry x = 3
Ⓑ vertex (–3, 2); axis of symmetry x = 4
Ⓒ vertex (–3, 2); axis of symmetry x = –3
Ⓓ vertex (3, –2); axis of symmetry x = –4
2
2. If the graph of y = ax + bx + c opens
down, which of the following must be true?
Ⓐa<0
Ⓑa>0
Ⓒc<0
Ⓓc>0
3. Which function does not have a maximum
value?
Ⓐ y = –x – 5x – 6
2
Ⓐ –3, –14
Ⓑ 3, –14
Ⓒ –3, 14
Ⓓ 3, 14
9. Factor the expression 8x2 + 28x + 12.
Ⓐ 2(x + 2)(4x + 3)
Ⓑ 2(x + 3)(2x + 1)
Ⓒ 4(x + 1)(2x + 3)
Ⓓ 4(x + 3)(2x + 1)
Ⓒ y = 3x2 – 15x + 2
Ⓓ y = 49 – x2
4. What is the vertex of y = –3(x – 2)2 – 4?
Ⓐ (–2, –4)
Ⓑ (–2, 4)
Ⓒ (2, –4)
Ⓓ (2, 4)
5. What are the x–intercepts of
y = –2(x – 7)(x + 2)?
Ⓐ –7 and 2
Ⓑ 7 and –2
Ⓒ 14 and –4
Ⓓ14 and –2
6. Factor the expression m2 – 4m – 21.
Ⓐ (m – 7)(m – 3) Ⓑ (m – 7)(m + 3)
Ⓒ (m + 7)(m – 3) Ⓓ (m + 7)(m + 3)
7. Which value of c makes the expression
x2 – 5x + c a perfect square trinomial?
5
5
Ⓐ 
Ⓑ
2
2
25
Ⓒ
Ⓓ 25
4
2
2 3
10. Simplify the expression
Ⓐ
4
13
Ⓒ 42 3
Ⓑ y = –x2 – x – 6
Algebra 2
Assessment Book
8. What are the roots of the equation
z2 + 11z – 42 = 0?
Ⓑ2
Ⓓ
42 3
5
11. What are the solutions of the equation
w2 = –9w?
Ⓐ –9, 3
Ⓑ 0, –9
Ⓒ 0, 9
Ⓓ 1, 9
12. What are the solutions of
23 = 2(x – 3)2 + 7?
Ⓐ 3
Ⓑ 3 2 2
Ⓒ 2 2
Ⓓ 64 2
13. What are the solutions of –3 – y2 = 24?
Ⓐ 3 3
Ⓑ 3i 3
Ⓒ 9 3
Ⓓ 9i 3
14. What is the standard form of the
i
expression
?
2i
1
2
Ⓐ i 1
Ⓑ i 1
2
3
i
2 1
Ⓒ 1
Ⓓ i
5 5
2
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1
Name _________________________________________
CHAPTER
1
Standardized Test
continued
For use after the chapter “Quadratic Functions and Factoring”
15. What is the absolute value of 3 – 4i?
Ⓐ 5
Ⓑ 7
Ⓒ5
Ⓓ 25
16. What is the vertex of y = 3x2 –30x + 77?
Ⓐ (–5, –2)
Ⓑ (–5, 2)
Ⓒ (5, –2)
Ⓓ (5, 2)
17. What is the value of c if the discriminant of
–2x2 – 3x + c is 41?
Ⓐ –4
Ⓒ
11
2
Ⓑ4
Ⓓ
25
4
18. Which inequality represents the graph
below?
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Date ____________________
Ⓐ 2x2 + x – 15 ≥ 0
Ⓑ –2x2 + x – 15 ≥ 0
Ⓒ (2x + 5)(x + 3) ≥ 0
Ⓓ 2x2 – x – 15 ≥ 0
Algebra 2
Assessment Book
Name _________________________________________
Standardized Test
CHAPTER
For use after the chapter “Polynomials and Polynomial Functions”
2
Multiple Choice
1. What is the simplified form of
Ⓐ
Ⓒ
Date ____________________
2ab 2 c 2
3
2a
3b 2
Ⓑ
Ⓓ
8a 2bc 1
?
12ab3c
6. Which polynomial represents the volume of
the cone shown?
2a
3b 2 c 2
2a
3bc
2. What is (3.2 × 105)(1.4 × 10–2) written in
scientific notation?
Ⓐ 4.48 × 103
Ⓑ 4.48 × 107
Ⓒ 44.8 × 103
Ⓓ 44.8 × 107
Ⓐ
3. Which equation is the graph of the
polynomial function shown?
Ⓑ
Ⓒ
Ⓓ
2 3
20
x – x2 – 4x +
3
3
20 2  x 10
x 

3
3
3
2
 x
20
4x +
3
3
4 x3
50
 4x2 – 5x –
3
3
Ⓐ f(x) = –2x3 + x2 – 2
Ⓐ 3x2(x2 – 1)
Ⓑ f(x) = 3x4 – x2 + 1
Ⓑ 3x2(x – 1)(x + 1)
Ⓒ f(x) = x3 – x + 7
Ⓒ 3x(x – 1)(x + 1)
Ⓓ f(x) = –2x4 + x2 – 1
Ⓓ 3(x4 – x2)
4. What is the degree of the polynomial
h(t) = –8t2 + 5 – 3t3?
Ⓐ1
Ⓑ2
Ⓒ3
Ⓓ4
5. What is the greatest common monomial
factor of 9x3y2 + 15x2y – 6xy2?
Ⓐ 3x
Ⓑ 3y
Ⓒ 3xy
Ⓓ 3x2y2
2
2
8. If x + 3 is a factor of x3 – x2 – 17x – 15,
what is another factor?
Ⓐx+1
Ⓑx–1
Ⓒx+5
Ⓓx–3
9. If x – 2 is a factor of a polynomial f(x),
which of the following statements does
not have to be true?
Ⓐ f(2) = 0
Ⓑ f(–2) = 0
Ⓒ 2 is a root of f(x).
Ⓓ 2 is a zero of f(x)
Algebra 2
Assessment Book
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
7. What is the complete factorization of
3x4 – 3x2?
Name _________________________________________
Standardized Test
CHAPTER
continued
For use after the chapter “Polynomials and Polynomial Functions”
2
10. Which is not a possible rational solution of
f(x) = 3x3 – 11x2 + 5x – 6?
Ⓐ
Ⓑ
1
2
Ⓒ 2
2
3
Ⓓ 6
11. Based upon Descartes’ Rule of Signs,
which of the following is the only possible
classification of the roots of the function
u(k) = –3k3 + 5k2 – k + 4?
Ⓐ 3 positives, 0 negatives, 0 imaginary
Ⓑ 0 positives, 3 negatives, 0 imaginary
Ⓒ 1 positive, 1 negative, 1 imaginary
Ⓓ 2 positives, 1 negative, 0 imaginary
12. At which value(s) of x does
v(x) = 2x3 – x2 + 1 have a local minimum
value?
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Ⓐ0
Ⓒ 0 and
Date ____________________
Ⓑ
1
3
1
3
Ⓓ There are none.
Algebra 2
Assessment Book
Name _________________________________________
Date ____________________
Standardized Test
CHAPTER
For use after the chapter “Rational Exponents and Radical Functions”
3
7. What is g(f(x)) if f(x) = 3x2 and
g(x) = 2x1/2?
Multiple Choice
1. What is the value of (–243)3/5?
Ⓐ –27
Ⓑ –3
Ⓐ x 6
Ⓑ 2x 3
Ⓒ3
Ⓓ 27
Ⓒ6 x
Ⓓ 6x
2. What is the solution to 3x5 + 350 = –379?
729
Ⓐ5
Ⓑ –3
3
729
Ⓒ3
Ⓓ 5
3
3. Which expression is the simplest form of
4 3 32  3 32
Ⓐ All real numbers
Ⓒx ≥
1
4
Ⓑ x≥0
Ⓓ x≥
21
4
9. Which function represents the inverse of the
graph shown?
Ⓐ3 4
Ⓑ6 4
Ⓒ6
Ⓓ 16 3 2  4
3
3
8. Given u(x) = 4 x  1 and v(x) = x – 5
what is the domain of u(v(x))?
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
4. What is the simplified expression of the
length of the triangle’s hypotenuse?
3x1/2
Ⓐ y = –5x + 3
Ⓑ y= x–3
1
5
2x3/2
Ⓐ 2 x  3x
3 2
1 2
Ⓒ 4 x3  9 x
Ⓑ2x + 3x
3/2
1/2
Ⓓ4x3 + 9x2
1
5
Ⓒy = x + 3
Ⓓy = 5x + 3
Ⓐ  z3 z
Ⓑ 14z3 z
10. What is the inverse of the power function
8 3
g(t) = –
t?
27
2
8
Ⓐ h(t) = – 3 t
Ⓑ h(t) = – 3 t
3
27
33
3
Ⓒ h(t) = – t
Ⓓ h(t) = – t
2
2
Ⓒ 14z 4 z
Ⓓ 92z3 z
11. Which of the following pairs of functions are
not inverses of one another?
5. Assuming all variables are positive, what is
the simplified form of
 z 2 16 z 3  3 36 z 7 ?
6. If h(t) = t2/3 – 9 and j(t) = 3t + 5t2/3,
what is h(t) – j(t)?
Ⓐ u(x) = x – 2; v(x) = x + 2
1
1
x +
5
5
Ⓐ –4t – 3t – 9
Ⓑ 4t + 3t + 9
Ⓑ u(x) = 5x – 1; v(x) =
Ⓒ3t + 6t4/3
Ⓓ –7t7/3 – 9
Ⓒ u(x) = x3 + 1; v(x) = 3 x – 1
2/3
2/3
Ⓓ u(x) = x  2 ; v(x) = x2 + 2
Algebra 2
Assessment Book
Name _________________________________________
CHAPTER
3
Standardized Test
Date ____________________
continued
For use after the chapter “Rational Exponents and Radical Functions”
12. The graph of y = x is shifted 2 units up
and 3 units to the left. Which is the equation
of the translated function?
Ⓐ y = x2 – 3
Ⓑ y = x  2 –3
Ⓒ y = x2 + 3
Ⓓ y = x3 + 2
13. What are the domain and range of the
function y = 5 x  2 ?
Ⓐ Domain: all real numbers;
range: all real numbers
Ⓑ Domain: x ≥ 2; range: all real numbers
Ⓒ Domain: all real numbers; range: y ≥ 0
Ⓓ Domain: x ≥ 2; range: y ≥ 0
14. What is (are) the solution(s) to
x – 2 = 2x 1 ?
Ⓐ x=1
Ⓑ x=5
Ⓒ x = 1 and 5
Ⓓ No solution
Algebra 2
Assessment Book
Name _________________________________________
Standardized Test
CHAPTER
For use after the chapter “Exponential and Logarithmic Functions”
Multiple Choice
5. What is the simplified expression of
1. Which function is shown in the graph?
Ⓑ f(x) = 4(2.3)x
Ⓒ f(x) = 4(2.3)x + 2
Ⓒ r(x) = 4e–3x
Ⓓ f(x) = 5(2.3)x – 3
3
4
Ⓓ r(x) = e3 x
2. Gasoline costs $1.99 per gallon. If the price
per gallon increases an average of 6% per
month, which function models the
exponential growth of the pricing?
Ⓐ f(x) = 1.06(1.99)
x
Ⓑ f(x) = 1.99(1.06)x
Ⓒ f(x) = [1.06(1.99)]
3. Which function represents exponential
growth?
3
Ⓑ u(t) = –7.0  
2
t
Ⓒ u(t) = 7.0(0.8)t
t
10
Ⓓ u(t) = 7.0  
9
4. What is the horizontal asymptote of the
function y = 2(0.3)x – 1 – 4?
Ⓐy=–4
Ⓑ y = 0.3
Ⓒy=2
Ⓓ y=4
Algebra 2
Assessment Book
7. What is the value of –2e3.2, rounded to the
nearest thousandth?
Ⓐ –77.967
Ⓑ –49.065
Ⓒ –0.082
Ⓓ –0.081
8. Which expression is equivalent to x?
x
1.99
1.06 x
t
2
?
14e x
1
1
Ⓐ e5 x
Ⓑ e8 x
2
2
1 9x 2 – x
7 8x
Ⓒ e
Ⓓ e
2
2
6. Which function does not model
exponential decay?
3
Ⓐ r(x) = e –3 x
4
4
Ⓑ r(x) = e –3 x
3
Ⓐ f(x) = 2(2.3)x – 2
2
Ⓐ u(t) = –7.0  
3
7  e3 x 
Ⓐ log x
Ⓑ log 2x
Ⓒ log 10x
Ⓓ log 100x
9. What is an equivalent expression for
2 log4 3 + log4 2?
Ⓐ 2 log4 6
Ⓑ log4 6
Ⓒ log4 12
Ⓓ log4 18
10. Which of the following is not equivalent to
log5 8?
ln 8
Ⓐ
Ⓑ 2 log5 4
ln 5
Ⓒ 3 log5 2
Ⓓ log5 4 + log5 2
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
4
Ⓓ f(x) =
Date ____________________
Name _________________________________________
CHAPTER
4
Date ____________________
Standardized Test
continued
For use after the chapter “Exponential and Logarithmic Functions”
11. What is the inverse of the function
y = 82x?
ln x
2 ln x
Ⓐy=
Ⓑy=
2 ln 8
ln 8
ln 8
2 ln 8
Ⓒy=
Ⓓy=
2 ln x
ln x
12. What is the solution to the equation
log4 4x + 2 log4 x = 4?
Ⓐ1
Ⓑ2
Ⓒ3
Ⓓ4
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
13. A pheasant farmer started her farm with 120
pheasants. An analysis of her records shows
that her pheasant population has increased
by 15% each year. The farmer wants to
determine a model of pheasant population
growth using an exponential function.
According to her model, what will the
pheasant population be in 10 years?
Ⓐ 311
Ⓑ 485
Ⓒ 501
Ⓓ 1380
Algebra 2
Assessment Book
Name _________________________________________
Standardized Test
CHAPTER
For use after the chapter “Rational Functions”
Multiple Choice
1. Which equation represents inverse variation?
5
Ⓐ y=
Ⓑ y=x+5
x
y
Ⓒ =x
Ⓓ y = 5x
5
2. If x varies directly with y and y = –12 when
x = 4, what is the value of y when x = –3?
Ⓐ –16
Ⓑ –9
Ⓒ9
Ⓓ 16
Ⓓ r=
a
st
4. Which function represents the graph shown?
7
2
x 9
7x
y= 2
x 9
x2  9
7 x3
x2  9
y=
7x
Ⓐy=
Ⓑy=
Ⓒ
Ⓓ
7. What are the asymptotes of the function
4 x 2  3x  1
y=
?
x2 1
Ⓐ x = 0, y = 0
3. Let r vary directly with s and inversely
with t. Which equation represents this
relationship?
as
Ⓐ r = ast
Ⓑ r=
t
at
s
6. Which function has the domain of all real
numbers except –2?
x2
x
Ⓐ y=
Ⓑ y=
x2
x2
x
x2
Ⓒ y=
Ⓓ y=
x2
x2
5. What is (are) the vertical asymptote(s) of the
function in Exercise 4?
Ⓐ x = –3
Ⓑ x=3
Ⓒ x = ±3
Ⓓ There are none.
Ⓑ x = 1, y =
1
4
Ⓒ x = 0, x = 1, y = 4
Ⓓ x = –1, x = 1, y = 4
Ⓐ
2x  5
x 3
Ⓑ
Ⓒ
2x  5
x3
Ⓓ
2x  5
x3
9. Which expression is the product of
24a 2b 39a 2c3
•
13abc 8b 2c 2
9a 3
Ⓐ 2
Ⓑ 9a3b2
b
17 a 3b 2
117 a 3b 2
Ⓒ
Ⓓ
13
13b 2
10. The least common multiple of which pair of
expressions is 3x(x + 2)(x + 1)?
Ⓐ x2 + 3x + 2; x + 2
Ⓑ x2 + 3x + 2; 3x + 6
Ⓒ x2 + 3x + 2; 3x2 + 6x
Ⓓx2 + 3x + 2; 3x3 + 6x2
Algebra 2
Assessment Book
2 x 2  9 x  10
?
x2  x  6
2x  5
x3
8. What is the simplified form of
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
5
Ⓒ r=
Date ____________________
Name _________________________________________
CHAPTER
5
Standardized Test
continued
For use after the chapter “Rational Functions
11. What is the average rate of change of the
function f(x) = –log4x over the interval
[0.25, 1]?
4
3
Ⓐ
Ⓑ
3
4
3
4
Ⓒ–
Ⓓ–
4
3
12. Which expression represents the simplified
3x  2
form of
?
1
5

x2 x
3x  2
x
Ⓐ
Ⓑ
x2
2(3x  5)
Ⓒ
(3 x  2)( x  2)
3x  5
Ⓓ
x(3x  2)( x  2)
2(3x  5)
Date ____________________