Math Test Worksheets With Answers - Mat 1101 - 2010

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Test 1
MAT 1101
Summer 2010
Name ____________________________
Simplify all answers and show your work!
1. The domain of a relation tells what values __x__ can be.
2. The range of a relation tells what values __y__ can be.
3. “f(x)” is another name for ___ y____.
4. What numbers can we not take the square root of in the real numbers? _negatives_
5. What number can we not divide by? ___0__.
6. Write “f(–3) = 7” as an ordered pair. _(–3, 7)_
7. Given U = {1, 2, 3, 4, 6, 8, 9, 11, 13}, A = {4, 6, 8, 9} and B = {8, 9, 11, 13}, find the following:
a) Draw the Venn diagram
b)
A ∪
B
c)
A ∩
B
that represents the sets.
{8, 9}
{4, 6, 8, 9, 11, 13}
See diagram
8. Given the relation {(2, 1), (–3, –5), (0, 3), (–6, 4)}, find the following:
a) Domain: __{2, –3, 0, –6}_ b) Range: __{1, –5, 3, 4}_
c) Maximum of x-values: __2___
d) Minimum of x-values: __–6__
e) Maximum of y-values: __4___
f) Minimum of y-values: __–5__
g) Make a line graph of the relation on the grid to the right.
See graph
9. Is the relation {(4, –8), (–4, 3.2), (3.2, 5), (0, 1)} a function? Why or why not? _Yes. Each x-value maps to
exactly one y-value.__
3
10. Graph the line given by y =
x – 4
11. Find the slope of the following lines:
2
a) y = 8.2x – 9.7
8.2
x
y
0
–4
2
–1
4
b) 4x – 9y = 2
4
2
9
c) f(x) = 3x + 1
3
See graph
d) Passing through (2, 1) and (–4, 10).
3
2
12. Given f(x) = 3 – x
a) Find f (2)
b) Find f (0)
c) Find f (–5)
1
3
8

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