Several algebra problems
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2.
3.
4.
Find the coordinates of the x-intercept.
2x + y = -6
(-6, 0)
(0, -3)
(0, -6)
(-3, 0)
5.
6.
Janet invested $26,000, part at 6% and part at 3%. If the total interest at the end of the year is $1,080, how much did she invest at 6%?
$11,000
$10,000
$9,000
$16,000
7.
Find the domain and range of the relation, and state whether or not the relation is a function.
{(7, 2), (8, 2), (9, 2), (10, 2)}
Domain = {2}, Range = {7, 8, 9, 10}
The relation is not a function.
Domain = {2}, Range = {7, 8, 9, 10}
The relation is a function.
Domain = {7, 8, 9, 10}, Range = {2}
The relation is not a function.
Domain = {7, 8, 9, 10}, Range = {2}
The relation is a function.
8.
Find the y-intercept.
x + 4y = -4
(0, -1)
(-1, 0)
(0, -4)
(-4, 0)
9.
The amount of revenue a company makes per day by selling x items is given by the function f(x) = 14x - 0.2x2. How many items should be sold if the company wants to maximize their profit?
30 items
35 items
70 items
40 items
Question 10
11.
A tent is shaped like a pyramid. It has a square base measuring 8 feet on a side and a height of 6 feet. What is the volume of the tent?
128 ft3
16 ft3
512 ft3
32 ft3
12.
13.
Determine whether the system is consistent, inconsistent, or dependent.
3x + 2y = 15
6x + 4y = 30
Consistent
Dependent
Inconsistent
14.
Find the vertex of the parabola.
y = -4x2 - 16x - 11
(5, 2)
(2, 5)
(-2, 5)
(5, -2)
15.
Determine whether or not the relation is a function.
{(-3, 6), (-2, 7), (-1, 8), (0, 9)}
No
Yes
16.
.
17.
.
Find the coordinates of the x-intercept.
-x + 5y = -15
(-3, 0)
(0, 15)
(0, -3)
(15, 0)
18.
The owner of a deli wants to purchase at least 15 more pounds of oven-baked turkey than of roast beef. Write the constraint using t for pounds of turkey and r for pounds of roast beef.
t ³ r + 15
t > r + 15
t ³ r - 15
t £ r + 15
19.
Determine whether the system is consistent, inconsistent, or dependent.
3x - 3y = -9
9x - 9y = -27
Consistent
Dependent
Inconsistant
20..
Find the coordinates of the x-intercept.
-x + 5y = -15
(-3, 0)
(0, 15)
(0, -3)
(15, 0)
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