Name: ________________________ Class: ___________________ Date: __________
Final Exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
What is the solution of the system? Use substitution.
____
1. 2x  y  7
4x  y  4
a. (–1.5, 4)
b.
(1.5, 10)
c.
(4, –1.5)
d.
(–1.5, –2)
c.
–4x8
d.
10x8
What is the sum or difference?
____
2. 3x8 – 7x8
a. –4x16
b.
–21x8
What is each expression written using each base only once?
____
3. 4 8  4 3
a. 411
b.
12 11
c.
424
d.
64 11
c.
7
d.
12
d.
x3
What is the degree of each monomial?
____
4. 5x7
a. 5
b.
35
What is the factored form of the following expressions?
____
____
5. d2 + 3d – 54
a. (d + 6)(d + 9)
b. (d – 6)(d + 9)
c.
d.
(d + 6)(d – 9)
(d – 6)(d – 9)
6. w2 + 18w + 77
a. (w – 7)(w + 11)
b. (w – 7)(w – 11)
c.
d.
(w + 7)(w + 11)
(w + 1)(w + 77)
c.
2x5
Find the GCF of the terms of the polynomial.
____
7. 30x3 + 16x5
a.
16x
b.
2x3
1
ID: A
Name: ________________________
ID: A
Find the balance in the account.
____
8. $1,600 principal earning 7%, compounded semi-annually, after 33 years
a. $4,979.11
c. $112,992.00
b. $14,920.54
d. $15,494.70
What is the simplified form of each expression?
____
9.
a 10
a5
a.
1
a 15
b.
1
a 5
c.
a 15
____ 10. Graph the set of points. Which model is most appropriate for the set?
(–2, 10), (–1, 1), (0, –2), (1, 1), (2, 10)
a.
c.
quadratic
b.
linear
d.
exponential
quadratic
2
d.
a 5
Name: ________________________
ID: A
Simplify the product.
____ 11. 8p(–3p2 + 6p – 2)
a. –5p3 + 14p2 – 6p
b. 48p2 – 16p – 24p3
c.
d.
14p2 – 6p – 5p3
–24p3 + 48p2 – 16p
c.
d.
9k3 + 29k2 – 3k – 12
9k3 – 3k2 + 11k – 12
What is a simpler form of the expression?
____ 12. (3k + 4)(3k2 – 5k – 3)
a.
b.
9k3 + 27k2 – 11k – 12
9k3 – 3k2 – 29k – 12
What are the coordinates of the vertex of the graph? Is it a maximum or minimum?
____ 13.
a.
b.
(2, 0); minimum
(0, 2); minimum
c.
d.
(2, 0); maximum
(0, 2); maximum
x
____ 14. Suppose a population of 160 crickets doubles in size every month. The function f(x)  160  2 gives the
population after x months. How many crickets will there be after 2 years?
a. 2,684,354,560 crickets
c. 7,680 crickets
b. 640 crickets
d. 640 crickets
How many solutions does the system have?
____ 15. x  4y  4
2x  8y  8
a. one solution
b. two solutions
c.
d.
3
infinitely many solutions
no solution
Name: ________________________
ID: A
____ 16. Kendra owns a restaurant. She charges $3.00 for 2 eggs and one piece of toast, and $1.80 for one egg and one
piece of toast. How much does Kendra charge for an egg? A piece of toast?
a. $1.20 per egg; $.60 for toast
c. $.60 per egg; $.60 for toast
b. $.60 per egg; $1.20 for toast
d. $1.20 per egg; $1.20 for toast
What is the factored form of the expression?
____ 17. k2 – 81h2
a. (k – 9h2)(k + 9)
b. (k + 9h)(k + 9h)
c.
d.
h2(k + 9)(k – 9)
(k + 9h)(k – 9h)
What is the slope of the line that passes through the pair of points?
____ 18. (1, 7), (10, 1)
3
a.
2
b.

2
3
c.

3
2
d.
2
3
1
2
c.
2
d.
2
d.
(–1, 4)
Find the slope of the line.
____ 19.
a.
1
2
b.

What is the solution of the system? Use elimination.
____ 20. 3x + 9y = 33
–10x – 6y = –14
a. (–4, 5)
b.
(4, –1)
c.
4
(–10, 3)
Name: ________________________
ID: A
____ 21. Does the table represent an exponential function?
x
y
1
–1
a.
yes
2
–8
3
–27
4
–64
b.
no
c.
d.
12x 2  4x  16
12x 2  28x  16
Simplify the product using FOIL.
____ 22. (4x  4)(3x  4)
a.
b.
12x 2  28x  16
12x 2  4x  16
5
Name: ________________________
ID: A
Graph the function and identify the domain and range.
____ 23. y = 0.5x2
a.
c.
domain:  , 

range:  ,0 
domain:  , 

range:  0, 
b.
d.
domain:  , 

range:  ,0 
domain:  , 

range:  0, 
What is each number written in standard notation?
____ 24. 5  10 3
a. 500
b.
5,000
c.
6
50 3
d.
150
Name: ________________________
ID: A
Write the polynomial in standard form. Then name the polynomial based on its degree and number of
terms.
____ 25. 7g – 8g3 + 5g2 – 2
a.
b.
c.
d.
8g3 – 5g2 + 7g – 2; cubic polynomial
–2 + 7g + 5g2 – 8g3 ; cubic binomial
5g3 – 8g2 + 7g – 2; quadratic binomial
–8g3 + 5g2 + 7g – 2; cubic trinomial
Is the number written in scientific notation? If not, explain.
____ 26. 4.8  100 7
a. No; it is not written as a number times a power of 10.
b. Yes; the number is written in scientific notation.
c. No; the first factor is not a number between 1 and 10.
What equation in slope intercept form represents the line that passes through the two points?
____ 27. (2, 5), (9, 2)
3
41
a. y = x 
7
7
7
41
b. y =  x 
3
7
c.
d.
7
41
x
3
7
3
41
y= x
7
7
y=
Solve the equation by completing the square. Round to the nearest hundredth if necessary.
____ 28. x 2  2x  8  0
a. 4, 2
b.
–4, 2
c.
4, –2
d.
–4, –2
3gb 4
d.
b2
3g 2
What is the simplified form of each expression?
2 2
____ 29. 3g b
a.
3b2
g2
b.
3g 2 b 2
c.
____ 30. A rocket is launched from atop a 105-foot cliff with an initial velocity of 156 ft/s. The height of the rocket
above the ground at time t is given by h  16t 2  156t  105. When will the rocket hit the ground after it is
launched? Round to the nearest tenth of a second.
a. 4.9 s
c. 0.6 s
b. 9.8 s
d. 10.4 s
7
Name: ________________________
ID: A
What is the solution of the system? Use a graph.
____ 31. y = –x + 2
y = 3x – 1
a.
b.
c.
d.
____ 32. Suppose the population of a town is 4,400 and is growing 2% each year. Predict the population after 7 years.
a.
b.
c.
d.
about 31416 people
about 61,600 people
about 5,054 people
about 563,200 people
8
Name: ________________________
ID: A
____ 33. What are the solutions of the equation x 2  9  0 ? Use a graph of the related function.
a.
c.
There are two solutions: –3 and 3.
b.
There are two solutions: –3 and 3.
d.
There are two solutions: 
There are no real number solutions.
3.
9
Name: ________________________
ID: A
What is the graph of the system?
____ 34. y  x  1
y  2x  4
a.
b.
c.
d.
What is the factored form of the expression?
____ 35. 12d2 + 4d – 1
a. (6d + 1)(2d + 1)
b. (6d – 1)(2d – 1)
c.
d.
10
(6d – 1)(2d + 1)
(6d + 1)(2d – 1)
Name: ________________________
ID: A
What is the solution of the system? Use a graph.
____ 36. y = 5x + 4
y = 5x – 3
a.
c.
no solutions
b.
infinitely many solutions
d.
(0, 4)
(0, –3)
What is a simpler form of the following expressions?
____ 37. (j + 7)(j – 7)
a. j2 + 14j – 49
b. j2 – 14j – 49
c.
d.
11
j2 + 14j – 49
j2 – 49
Name: ________________________
ID: A
____ 38. Graph the set of points. Which model is most appropriate for the set?
(–6, –1), (–3, 2), (–1, 4), (2, 7)
a.
c.
linear
b.
e
xponential
d.
quadratic
l
inear
12
Name: ________________________
ID: A
Write the slope-intercept form of the equation for the line.
____ 39.
a.
b.
5
1
y= x
8
2
8
1
y= x
5
2
c.
d.
5
x
8
8
y= x
5
y=
1
2
1
2
What is the simplified form of the expression?
 3x  4
____ 40.  
 2 
81x 4
a.
16
b.
6x 4
c.
12x 4
8
d.
81x 4
2
h 20
d.
h 20
What is the simplified form of each expression?
4 5
____ 41. (h )
a.
h 9
b.
h1
c.
13
Name: ________________________
ID: A
Graph the function. Identify the vertex and axis of symmetry.
2
____ 42. f(x)  x  4x  1
a.
c.
axis of symmetry: x  2
vertex: (2, –3)
b.
axis of symmetry: x  2
vertex: (–2, –3)
d.
axis of symmetry: x  2
vertex: (–2, 3)
axis of symmetry: x  2
vertex: (2, 3)
14
Name: ________________________
ID: A
What is the graph of the function?
x
____ 43. y  2  2
a.
b.
c.
d.
15