This document contains a 7th grade math assignment with multiple choice and short answer questions testing skills with ratios, proportions, unit rates, and solving word problems. The assignment has students work through expressing ratios as fractions and unit rates, creating and solving proportions, comparing unit rates between stores, and using a proportion to solve a word problem about purchasing golf balls within a budget.
La Republica: Intervista a Diego Novelli "Da Airaudo un dispetto a Fassino" 1211Gianguido Passoni
L'ex Sindaco di Torino Diego Novelli, intervistato da La repubblica, sostiene Fassino alle prossime elezioni comunali di Torino del 2016 e critica la candiatura di Airaudo
La Republica: Intervista a Diego Novelli "Da Airaudo un dispetto a Fassino" 1211Gianguido Passoni
L'ex Sindaco di Torino Diego Novelli, intervistato da La repubblica, sostiene Fassino alle prossime elezioni comunali di Torino del 2016 e critica la candiatura di Airaudo
College Algebra MATH 107 Spring, 2015, V4.8 Page 1 of .docxmonicafrancis71118
College Algebra MATH 107 Spring, 2015, V4.8
Page 1 of 11
MATH 107 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and other course materials as you work
on the exam, and you may use a calculator. You must complete the exam individually.
Neither collaboration nor consultation with others is allowed.
Record your answers and work on the separate answer sheet provided.
There are 30 problems.
Problems #1–12 are Multiple Choice.
Problems #13–21 are Short Answer. (Work not required to be shown)
Problems #22–30 are Short Answer with work required to be shown.
MULTIPLE CHOICE
1. Determine the domain and range of the piecewise function. 1. ______
A. Domain [0, 4]; Range [–1, 3]
B. Domain [–1, 3]; Range [0, 4]
C. Domain [–1, 0]; Range [1, 4]
D. Domain [–1, 1]; Range [1, 4]
2. Solve: 19 3 3x x− = − 2. ______
A. No solution
B. 8
C. −2, 5
D. −2
2 4 -4
-2
-4
2
4
-2
College Algebra MATH 107 Spring, 2015, V4.8
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3. Determine the interval(s) on which the function is increasing. 3. ______
A. ( ), 0.5−∞ − and (3, 6.5)
B. [– 2, 2]
C. (1, 5)
D. ( ), 1−∞ and ( )5, ∞
4. Determine whether the graph of 2xy += is symmetric with respect to the origin,
the x-axis, or the y-axis. 4. ______
A. symmetric with respect to the x-axis only
B. symmetric with respect to the y-axis only
C. symmetric with respect to the origin only
D. not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and
not symmetric with respect to the origin
5. Solve, and express the answer in interval notation: | 7 – 3x | ≤ 11. 5. ______
A. [–4/3, 6]
B. (–∞, –4/3]
C. (–∞, –4/3] ∪ [6, ∞)
D. (–∞, 6] ∪ [–4/3, ∞)
College Algebra MATH 107 Spring, 2015, V4.8
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6. Which of the following represents the graph of 9x − 4y = 36 ? 6. ______
A. B.
C. D.
College Algebra MATH 107 Spring, 2015, V4.8
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7. Write a slope-intercept equation for a line parallel to the line x – 3y = 8 which passes through
the point (– 12, 7). 7. ______
A.
1
11
3
y x= +
B.
1
3
3
y x= − +
C. 3 29y x= − −
D.
1
7
3
y x= +
8. Which of the following best describes the graph? 8. ______
A. It is the graph of a function and it is one-to-one.
B. It is the graph of a function but not one-to-one.
C. It is not the graph of a function.
D. It is the graph of a parabolic relation.
College Algebra MATH 107 Spring, 2015, V4.8
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9. Express as an equivalent expression: log (x + 2) + log 1 – 3 log y 9. ______
A.
3
log( 2)
log
x
y
+
B. ( )log 3 3x y+ −
C.
3
2
log
x
y
+
D.
3
log
3
x
y
+
10. Which of the functions corresponds to the .
1. Name: ________________ Date: _____________
7th Grade – Graded Assignment 8.1-8.3 (52 points)
Directions: Circle the best answer (16 points). You may use your notes.
1. Express the ratio of 57:76 as a fraction in simplest form.
9 19 3 57
A) B) C) D)
13 26 4 76
2. Express the ratio 480 miles in 12 hours as a unit rate:
A) 0.25mph B) 40 mph C) 42 mph D) 4mph
x 9
3. Which equation below is equivalent to the proportion: =
6 3
1 2
A) 6x = 27 B) 9x = 18 C) 3x = 54 D) x=
3 3
x 3
4. What does x equal in the proportion: =
25 5
A) 15 B) 75 C) 5 D) 375
2. Directions: Express each ratio as a fraction in simplest form. You must
show all work to receive full credit. (8 pts)
5. 63 to 93 6. 14: 56
Directions: Express each ratio as a unit rate. You must show all work to
receive full credit. (8 pts)
7. 202.5 miles in 9 hours _____________ mph
8. $495 for 30 tickets ____________ per ticket
Directions: Create and solve a proportion to find the missing information.
You must create a proportion and show alll work to receive full credit.
(8 pts)
9. 2 liters of orange juice at $3.58.
5 liters of orange juice at x dollars
10. 200 miles in 2.5 days
x miles in 8 days
3. Directions: Study the three stores and their price for NY Giants’s golf balls.
ANSWER ALL PARTS (A,B,C) (12 pts)
Sports Authority: Dick’s Sporting Goods: Modell’s Sporting Goods
6 golf balls for 15 golf balls for 9 golf balls for
$9.99 $25.50 $14.85
A) Find the unit rate for each store. You must show all work to receive
full credit.
Sports Authority Dick’s Sporting Goods Modell’s Sporting Goods
Unit Rate: Unit Rate: Unit Rate:
B) Circle the store above that has the best buy.
C) Mr. Z stopped at Modell’s to pick up NY Giant’s golf balls for his
weekend trip. At Modell’s, one can buy any amount of NY Giant golf balls.
As Mr. Z rummaged through his wallet he realized he only had a $50 dollar
bill. How many golf balls could he afford to buy? USE A PROPORTION
TO PROVE YOUR ANSWER. You must show all work to receive full
credit.