Find the domain and range of the following relation. Then determine if the relation is a function.
{(3,2), (-1,2), (0,-3), (-2,-2)}
domain: {-2, -1, 0, 3}
range: {-3, -2, 2}
This relation is a function. Each domain has exactly one range.
100
Solve the system by graphing.
y = -x
y = 2x - 6
(2, -2)
100
Simplify. (5n2 - 5n4) + (3n4 + 2n2)
7n2 - 2n4
200
Evaluate for x = -3 and y = 2.
2x(x-y)
30
200
r/8 = 25/45
r = 5
200
Describe how you can determine if the graph of a relation is a function using a vertical line test.
Draw vertical lines. If any vertical line passes through more than one point on the graph, the relation is not a function.
200
Solve by substitution.
y = 5x
2x + 3y = 34
(2, 10)
200
Simplify. (2x2 + x4) - (4x4 + 2x2)
-3x4
300
Solve. 3(-2 - 3x) = -9x - 4
No solution.
300
A research study shows that three out of every twenty pet owners bought their pets from breeders. Of the 122 animals cared for by a veterinarian, how many would you expect to have been bought from breeders?
18
300
Find the slop of the line that passes through the following points:
(-7,8) and (-7,5)
undefined
300
Solve by elimination.
2x - 3y = 2
5x + 4y = 28
(4, 2)
300
Simplify. (x + 3)(3x - 4)
3x2 + 5x - 12
400
Twice the greater of two consecutive odd integers is 13 less than three times the lesser number. Find the integers.
17, 19
400
The original price of a suit is $175.95. It is on sale for 45% off. Find the sale price of the suit.
$96.77
400
A rental company on Padre Island charges $8 per hour for a mountain bike plus a $5 fee for a helmet. Write a linear equation in slope-intercept form for the rental cost, y dollars, for a helmet and bicycle for x hours.
Then find the cost of a 2-hour rental.
y = 8x+5
Total cost: $21
400
Emily has a total of 40 DVDs of movies and television shows. The number of movies is 4 less than 3 times the number of television shows. Write and solve a system of equations to find how many moves and television shows she has on DVD.
x + y = 40
y = 3x -4
29 movies, 11 television shows
400
(x + 1)(x - 1)
x2 - 1
500
Garrett is allowed to download $10 worth of music each month. This month he has spent within $3 of his allowance. What is the range of money he has spent on music downloads this month?
|d - 10| ≤ 3, 7 < d < 13
500
In 2003, 162.3 million people visited theme parks in the United States. In 2004, the number of visitors increased by about 4%. About how many people visited theme parks in the United States in 2004?
About 168.8 million
500
A line passes through points (-6, 12) and (-4, 8).
a) Write an equation for the line in point-slope form.
b) Write an equation for the line in slope-intercept form.
c) Write an equation for the line in standard form.
a) y + 6 = -2(x - 12)
b) y = -2x+18
c) 2x + y = 18
500
Mark has 28 coins on his desk that are all dimes and quarters. All together, the coins are worth $5.65. How many quarters does he have?