sample exam for math
BIRONDO EDUCATION SUPPORT TUTORIAL CENTER
MATH IV- CHAPTER 2-1 to 2-3
I. Decide whether the relation is a function. If it is a function, state the domain and range.
1. {(-5, -2), (-1, 1), (3, -6), (8, 1)} 2. {(2, -9), (2, -2), (6, 8), (8, 1), (11, -7)}
3. a x 4.
b y
c z
5. 6.
7. 8. 9.
II. FUNCTION NOTATION. Solve the following:
1. f(x) = x3 – x 2– 6x 2. g (x) =
a. f(-2) – f(9) a. g(5) + g(10)
b. -6 [(f(0) + f(9)] b. 8 [g(1) - g(2)]
III. LINE OF BEST FIT. Identify the following:
Name
No. Of Pencils
No. Of Rulers
Abigail
4
1
Bob
16
4
Frank
7
8
Peter
4
5
James
7
2
Alex
27
14
Jack
4
2
Paul
6
3
Lucie
4
2
Jenna
0
1
Claire
2
1
Kym
4
0
a. Sketch a scatter plot for the data.
b. Find the best fit line.
c. Sketch the best fit line on the scatter plot at the left.
d. Use the best fit line to predict the number of rulers does Paul if he has 30 pencils.
e. Find r.
f. Write a sentence which explains the direction and strength of the correlation.
2. Sand lance fish (found in the Northwest Atlantic) were collected and there age and length were recorded.
Age (years) 2 3 4 5 6 7 8 Mean Length (mm) 176 194 212 226 236 244 254
a. Sketch a scatter plot for the data.
b. Find the best fit line.
c. Sketch the best fit line on the scatter plot above.
f. Use the best fit line to predict the length of a 6.5 year old sand lance.
e. Find r.
f. Write a sentence which explains the direction and strength of the correlation.
IV. Consider problem # 2 (above). Complete the table below. Calculate the line of best fit using a statistic utility and identify the sum of squares of the errors.
x
MATH IV- CHAPTER 2-1 to 2-3
I. Decide whether the relation is a function. If it is a function, state the domain and range.
1. {(-5, -2), (-1, 1), (3, -6), (8, 1)} 2. {(2, -9), (2, -2), (6, 8), (8, 1), (11, -7)}
3. a x 4.
b y
c z
5. 6.
7. 8. 9.
II. FUNCTION NOTATION. Solve the following:
1. f(x) = x3 – x 2– 6x 2. g (x) =
a. f(-2) – f(9) a. g(5) + g(10)
b. -6 [(f(0) + f(9)] b. 8 [g(1) - g(2)]
III. LINE OF BEST FIT. Identify the following:
Name
No. Of Pencils
No. Of Rulers
Abigail
4
1
Bob
16
4
Frank
7
8
Peter
4
5
James
7
2
Alex
27
14
Jack
4
2
Paul
6
3
Lucie
4
2
Jenna
0
1
Claire
2
1
Kym
4
0
a. Sketch a scatter plot for the data.
b. Find the best fit line.
c. Sketch the best fit line on the scatter plot at the left.
d. Use the best fit line to predict the number of rulers does Paul if he has 30 pencils.
e. Find r.
f. Write a sentence which explains the direction and strength of the correlation.
2. Sand lance fish (found in the Northwest Atlantic) were collected and there age and length were recorded.
Age (years) 2 3 4 5 6 7 8 Mean Length (mm) 176 194 212 226 236 244 254
a. Sketch a scatter plot for the data.
b. Find the best fit line.
c. Sketch the best fit line on the scatter plot above.
f. Use the best fit line to predict the length of a 6.5 year old sand lance.
e. Find r.
f. Write a sentence which explains the direction and strength of the correlation.
IV. Consider problem # 2 (above). Complete the table below. Calculate the line of best fit using a statistic utility and identify the sum of squares of the errors.
x