Math 155 Written Homework #21 (End of the beginning) due at the beginning of Class #2
Sections 0443,3248 Fall 2016
NAME__________________________________________
DIRECTIONS(1-30) Work each problem on scratch paper and select the answer which corresponds to your
result. There is only one "best" answer for each problem. Place the letter preceding your choice on the line to
the left of the question number.
_________1. Find the value of
–3
A 19
B –11
8 ⋅ 2 – 3 ⋅ 4 – 3( 4 + 1)
7 ⋅ 4 − 5 ⋅ 5 + ( –1)3
C 0
B 1
E the expression has no value
3( a – 1) – 5(2 – a) + 6 = 1
_________2. Solve the equation for a.
A –1
D 2
C –4
D 4
E none of these
_________3. Working alone, Chris can rake the leaves in the side yard in c hours, while Tracy needs t hours by
herself to do the same job. Which expression represents the combined rate if Chris and Tracy work
together?
A c+t
B
c+t
2
1
C c+t
1
1
D c + t
E none of these
D 1± 2
E none of these
2
_________4. Solve the quadratic equation for z: 2z – 4z = 1
A
2± 2
2
B
2± 6
2
C
________5. Perform the indicated division:
4x 3 + 10x 2 − 3x + 9
x+3
216
2
B 4x + 22x − 69 + x + 3
2
A 4x + 10x − 3
36
2
D 4x − 2x − 9 + x + 3
________6. Find any values for which
A 2, –4
1± 6
B –2, 4
2
C 4x − 2x + 3
E none of these
3t − 2
is not defined.
t + 2t − 8
2
C –2 only
D 2 only
E none of these
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Math 155 Written Homework #21 (End of the beginning) due at the beginning of Class #2
Sections 0443,3248 Fall 2016
_______7. Give two ordered pairs that satisfy the given equation. y = 5x − 1
A (0,–1) and (1,–4)
D (0,–1) and (2,11)
B (0,–1) and (1,6)
E none of these
C (0,–1) and (1,4)
3
_______8. Write an equation for the line with slope – 4 which passes through the point (–5,2).
A 3x – 4y = –23
D 3x + 4y = –23
B 3x + 4y = –7
E none of these
C 4x + 3y = –14
2
________9. One of the factors of 35b + 43b + 12 is
A 7b + 3
B 7b + 6
C 7b – 2
D 7b – 3
E none of these
_______10. Four more than a number x, is divided by 3. Which algebraic expression represents this English
phrase?
x
x
x+4
x
x
A
B +y
C
D
E
−4
+4
7
3
3
3
3
_______11. Which of the following is the graph of the solution set of 3x – 5 < 7x + 15?
_______12. The polynomial x 2 y 2 − z2 is a
A second-degree trinomial
D fourth-degree trinomial
B third-degree binomial
E none of these
C fourth-degree binomial
2
_______13. The equation y = 4 x – 3 written in standard form is
A 4y = 2x – 12
D 2x + 4y = 12
B 4y − 2x + 12 = 0
E none of these
C 2x − 4y = 12
2
Math 155 Written Homework #21 (End of the beginning) due at the beginning of Class #2
Sections 0443,3248 Fall 2016
_______14. A purse contains nickels and dimes, 25 coins in all. If the total value of the coins is $1.90, then
how many dimes are there?
A 9
B 12
C 13
D 21
E none of these
_______15. Which of the following sets of ordered pairs is NOT a function?
A {(1,0), (2,1), (3,2)}
B {(0,1), (2,1), (3,2)}
D {(0,1), (1,2), (2,3)}
E none of these
x
_______16. For what values of x is 6
A
0 only B 3 only
C {(1,0), (2,1), (2,3)}
1
x
= 2(x – 3) – 3 ?
C 0 and 3 only
D no values
E none of these
_______17. Which of the following sets of numbers makes the square of the largest number equal to the sum of
the squares of the smaller two numbers??
A
4,5,6
B 8,15,17
C 5,12,15
_______18. If the denominator of the expression
A 2+3 3
2+ 3
2
B
D
E 5,5,10
3+1
is rationalized, the result, in simplest form, is
3–1
2+
C
7,24,30
3
2
D 2+ 3
E none of these
7
5
E
1
________19. The fraction
A –1
B
3+2
1
3–2
7
2
reduced to lowest terms is
C
5
7
D
2
7
________20. If the linear equations in a system of equations are dependent, how many solutions does the
system have?
A exactly one solution
B exactly two solutions
D more than two solutions
E none of these
C no solutions
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Math 155 Written Homework #21 (End of the beginning) due at the beginning of Class #2
Sections 0443,3248 Fall 2016
_______21. Which of the following represents the equation of a line which is parallel to the line whose
equation is
3
y = 5 x – 4?
A
3x + 5y = 20
B
3x – 5y = 4
D
5x + 3y = 20
E
5x + 3y = 4
C
5x –3y = 20
_______22. Which of the following expressions is equal to –1?
I
x+3
x–3
II
x–3
3–x
x+3
3+x
III
A all of I, II, III, and IV
B only I and III
D I, II and IV
E none of I, II, III, and IV
IV
x+3
–3 – x
C only II and IV
1
_______23. Solve for b in A = 2(B + b) h.
2A
A
b= h
D
b = hB
– B
2A
hB
B
b=A– 2
E
none of these
_______24. Simplify the following complex fraction:
A
x–5
2
B 2x – 6
C 2x – 7
_______25. The x-intercept of the line given by
A (0,2)
B (–3,0)
C
2
4
–
2
x x – 3x
4
x2 – 3x
5
D –2
–2x + 3y – 6 = 0
C (2,0)
b = 2A – B
E none of these
is
D (0,–3)
E none of these
_______26. Which point is called the vertex of the graph y = x2 –4x – 5?
A (–4,–5)
B (2,–9)
C (–2,9)
D (0,–5)
E (–1,5)
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Math 155 Written Homework #21 (End of the beginning) due at the beginning of Class #2
Sections 0443,3248 Fall 2016
_______27. Which of the following equations
y
represents the line pictured?
A 2x + 5y = 10
B 2x – 5y = 10
C 5x + 2y = 10
D 5x – 2y = 10
(5,0)
E none of these
x
(0,–2)
_______28. The expression 2x3 means
A xxx + xxx
B (xxx)(xxx)
C xx + xx + xx
D 2x + 2x + 2x
E none of these
_______29. If ƒ(x) = x2 – 5x + 6, find ƒ(12).
A
6
B –1
C 90
D 210
E none of these
_______30. What is the largest set of numbers studied in this course?
A irrational numbers
B rational numbers
D integers
E natural numbers
C real numbers
This is the end of Part 1 of your examination. Check your examination paper to see that you have answered
each question as you intended, and also that you have left no blanks. Since this part of the test represents 60%
of your examination score, it is worth your while to be careful and thorough.
Directions for the next part
Part 2 Answer EACH question completely , by showing all work and indicating your final response clearly.
You are expected to use the techniques studied in this course to present a solution. Guessing and using your
intuition alone is not adequate.
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Math 155 Written Homework #21 (End of the beginning) due at the beginning of Class #2
Sections 0443,3248 Fall 2016
31. Solve algebraically; then check your result in both equations:
⎧27 + 4x – 6y = 7 – 4y
⎨
⎩ 5x – y – 15 = 8x + y
32. (a) Find the product in simplest form.
(2–3 5 )
(b) Solve by factoring: (x + 2)(4x2 – 7x – 36) = 0.
3
[Hint: You should get three answers.]
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Math 155 Written Homework #21 (End of the beginning) due at the beginning of Class #2
Sections 0443,3248 Fall 2016
33. A bicyclist heading east and a motorist traveling south left an intersection at the same time. When the
motorist had gone 17 miles farther than the bicyclist, the distance between them was 1 mile more than the
distance traveled by the motorist. How far apart were they then?
let x = the distance traveled by the bicyclist
east
south
34. Given the quadratic equation f(x) = –x2 – 6x – 16 .
(a) Complete the table of values f(x) , from x = –5 to x = –1
x
–5
–4
–3
–2
–1
f(x)
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Math 155 Written Homework #21 (End of the beginning) due at the beginning of Class #2
Sections 0443,3248 Fall 2016
(b) Sketch the graph of the equation, plotting the five points from your table in part (a). Label the graph
appropriately.
c) What are the coordinates of the vertex of this graph?
(d) What name do we use for the shape of this
graph?
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