Download Semester Test ESM 2052

Semester Test ESM 2052 (Chapters 4-6/Graphing Unit)
1. The height of a tree increases as time passes. Your friend says that time is the dependent variable
because size depends on time. Is your friend correct?
A. Yes; height depends on time, so time is dependent variable and height is the independent variable.
B. Yes; time depends on height, so time is dependent variable and height is the independent variable.
C. No; time depends on height, so height is the dependent variable and time is the independent variable.
D. No; height depends on time, so height is the dependent variable and time is the independent variable.
2. What appears to be the relationship between F and C in the table below? What is the correct graph of
the data?
A.
F=
1
40
C
C. F = 40C
3.
Which function passes through (3, 0)?
A. y= -|x + 3|
B. y= |x| + 3
C. y = |x| - 3
D. y = |x + 3|
B. F = 40C
D. F= C + 40
4.
A.
B.
C.
D.
Is this graph a function?
Yes; you cannot draw a horizontal line that goes through more than one point of the graph.
Yes; each y-value has a single corresponding x-value.
No; some x-values do not have corresponding y-values.
No; you can draw vertical lines that go through more than one point of the graph.
5.
Tell whether the function shown by the table is linear or nonlinear.
A. Linear
B. Nonlinear
6. Tell whether the relationship should be represented by a continuous or discrete graph. Explain.
“the height of a tree over time”
A. Continuous; a tree grows gradually, not in steps, so this situation is continuous.
B. Continuous; a tree grows in steps, so this situation is continuous.
C. Discrete; a tree stops growing at a certain age, so this situation is discrete.
D. Discrete; a tree never stops growing, so this situation is discrete.
7. A catalog-printing company receives a total cost C for each print job, which includes a set-up charge S and $0.05
per page p for each job. What function rule describes the situation?
A. C = 0.05p
B. C = S + .05p
C. C = .05S + p
D. C= .05 (S + p)
8. What is the function rule for the table ?
A. f(x) = 5x – 5
B. f(x) = -5x – 5
C. f(x) = -5x + 5
D. f(x) = x – 5
9. An Internet café charges $2.75 to use a computer and $.35 per minute while accessing the Internet. What is the
cost of using the Internet for 28 minutes?
A. $2. 75
B. $9.80
C. $10.95
D. $12.55
10.
A.
B.
C.
D.
Evaluate for x = –3.
-9
-4
-8
4
11. Determine which relation is a function
A
B.
C.
D.
12. The domain
A. (-1, 0, 12)
of what I s the range?
B. (-1, 2, 8)
B.
C.
(-1, 2, 8)
Find the slope of the line.
13.
A.
3
2
B.
−3
2
C.
2
3
D.
14. Find the slope of the line passing through the pair of points.
A. Undefined
B.
3
4
3
C. − 4
−2
3
(–4, 5) and (0, 2)
4
D. - − 3
15. Can you graph a line if its slope is 0? Explain.
A. Yes, the graph of a line with a slope of 0 is a horizontal line.
B. Yes, the graph of a line with a slope of 0 is a vertical line.
C. Yes, the graph of a line with a slope of 0 is a diagonal line.
D. No, a slope of 0 does not exist, so the line cannot be graphed.
16. Which set of points lies on the graph of the line:
y = –x + 1
A.
B.
C.
D.
17. Write the slope-intercept form of the equation for the line.
A. y = -2x – 1
B. y = 2x – 1
1
C. y = − 2 x – 1
1
D. y = x – 1
2
2
18. Graph the equation: y = 3 x - 2
A.
B.
C.
D.
1
19. Which line is the graph of the function rule: y= x + 4
2
A. Line A
B. Line B
C. Line C
D. Line D
20. Choose the correct equation of the line with the given slope and y-intercept: m = 1, b = 4
A. y= 4x + 1
B. y= x – 4
C. y= -x + 4
D. y= x + 4
21. Choose the correct equation in point-slope form for the line through the given point with the given slope.
3
(4, –6) m = 5
3
A. y + 6 = 5 x – 4
3
B. y – 6 = 5 (x + 4)
3
C. y + 6 = (x – 4)
5
3
D. y – 4 = (x + 6)
5
22. Rita is saving up $15,000 to put a down payment on a condominium. If she starts with $8000 saved and saves an
additional $850 each month, which equation represents how far Rita is from her goal of reaching $15,000
saved? Let x stand for months and y stand for dollars.
A. y= 7000 – 850x
B. y= 15,000x – 850
C. y= 850x – 7000
D. y= 850x + 7000
23. What is the standard form of the equation y= -x – 2?
A. x + y = -2
B. x = y – 2
C. y + x = 2
D. y – x = -2
24. Find the equation of the line containing (-3, -11) and (2, -1).
A. y= x – 8
B. y= -2x + 3
C. y= 2x – 5
1
3
D. y= x – 10
25. Find the x- and y-intercept of the line: –3x + 9y = 18
A. x-intercept is 2; y-intercept is –6
B. x-intercept is –3; y-intercept is 9
C. x-intercept is –6; y-intercept is 2
D. x-intercept is 9; y-intercept is –3
26.
Tell what type of correlation is shown in the scatter plot?
A.
B.
C.
D.
Positive correlation
Negative correlation
Infinite
No correlation
27. Given the correlation coefficient of -0.98 describes the relationship of data.
A. Weak positive correlation
B. Strong positive correlation
C. Weak negative correlation
D. Strong negative correlation
28. Which situation shows a likely correlation but no likely causation?
A. The length of the edge of a cube and the volume of the cube
B. The distance traveled and the time spent driving
C. The age of a child and the number of siblings a child has
D. The number of mailboxes and the number of firefighters in the city
29. You pay an activation fee and a monthly fee for cellular phone service. The table shows the total cost of cellular
service over different number of months. Use the data in the table to identify a line of best fit.
Months of
Service
2
4
6
8
10
Total Cost ($)
$137
$209
$281
$353
$425
A.
y= 65x + 36
B. y= 36x + 65
C. y= -36x + 65
D. y= -65x + 36
30. Which of the following residual plots indicates that a linear model is an appropriate fit for the data?
31.
A.
No solutions
How many solutions does the system of equations shown below have?
B. One solution
C. Two solutions
D. Infinitely Many Solutions
32. Solve the system by graphing. Where necessary, indicate when the system has no solution or infinitely
many solutions. y= x + 2 and y = -3x – 2
A. (0,2)
B. (-1, 1)
C. (-3,6)
33. Solve the system using substitution.
y = 4x – 5
y = 2x + 1
A. (-2,-3)
B. (1,3)
D. no solution
C. (-2, 13)
D. (3,7)
34. The length of a rectangle is 2 cm more than four times the width. If the perimeter of the rectangle is 84 cm,
what are its dimensions?
A. length = 8 cm; width = 34 cm
B. length = 34 cm; width = 8 cm
C. length = 30 cm; width = 10 cm
D. length = 34 cm; width = 10 cm
35. Solve the system using elimination.
2x – 5y = –5
x+y=8
A. (-2, 10)
B. (5,3)
C. (11, -3)
D. no solution
36. The sum of two numbers is 82. Their difference is 24. Choose the system of equations that describes this
situation. Solve by elimination to find the two numbers.
A. 48 and 28
B. 52 and 30
C. 48 and 30
D. 53 and 29
37. Which inequality represents the graph
A. y > -2x +4
B. y > -2x + 2
C. y < -2x + 4
D. y > 2x + 4
below?
38. Solve the system of linear inequalities by graphing.
A.
B.
C.
D.
39. Which choice is a solution to the system of linear inequalities?
A.
(1,2)
B. (0,-1)
C. (2,17)
D. (-2,-5)
40. Which system matches given graph?
A.
−3𝑥 + 2𝑦 ≥ 4
𝑦 > −𝑥 + 4
B.
−3𝑥 + 2𝑦 ≥ −4
𝑦 < −𝑥 + 4
C.
−3𝑥 + 2𝑦 ≤ 4
𝑦 < −𝑥 + 4
D.
−3𝑥 + 2𝑦 ≥ 4
𝑦 > −𝑥 + 4