Rate of Change
An eastbound car is going 4 miles per hour faster than a westbound car. The cars are 208 miles apart 2 hours after passing each other on a highway. What is the speed, in miles per hour, of the eastbound car?
54
Add. 1/4 + 1/5
One solution of x2 − 5 x − 1 = 0 is
(5 − √ 29)/2
(−6 x4 )2
36x8
A rectangular field is enclosed by 360 feet of fencing. What is the length, in feet, of the field if its length is 6 feet more than its width?
93
If a man walks at the rate of 2 feet per second, how many minutes will it take him to walk 4320 feet?
36
Multiply. 2(4 x + 2)(x − 1)
8x2 − 4 x − 4
One factor of 3x2 − 14 x + 8 is
3x-2
6x2 * 2x5
12x7
A line with slope 3 passes through the point (0, 10). What is the y-coordinate of the point on the line with x-coordinate 2?
16
Assuming that a car gets 25 miles per gallon of gas, how many gallons of gas are required for the car to go 155 miles?
6.20
Simplify. 5(1 − 2 x) − 4(4 − x)
−11 − 6 x
x2 − x − 1 = 0 one solution
(1− √ 5)/2
(9x6)-2
1/ (81x12)
What is the perimeter, in feet, of a rectangle whose length is twice its width and whose width is 5 feet?
30
A married couple and their 4 children buy tickets to a ball game. The tickets cost 25 dollars apiece, but each of their children gets a 20 percent discount. How much, in dollars, must the family pay for tickets?
130
Combine like terms and simplify. (6x2 − 6 x + 4) − (x2− 5 x − 9)
5x2-x+13
Solve 5 x + 2 y = 15 for x
x= -2/5y +3
(x2 − y2 )(x8 + y8 )
x10 + x2 y8 − x8 y2 − y10
A buyer purchases 20 percent of the 12000 widgets in a warehouse’s inventory. The next day, another buyer purchases 10 percent of the remaining widgets. How many widgets are left in the warehouse?
8640
A boy has only dimes and quarters in his piggy bank. If he has 60 coins worth 12 dollars and 45 cents altogether, how many quarters does he have in his bank?
56 − 7 x = 2
54/7
(6x-9)/3 = x/9 solve for x
27/17
(x2 − y2 )(x7 + y7 )
x9 + x2 y7 − x7 y2 − y9
What is the area of the triangle whose vertices are (−4, 0), (−10, 0) and (−7, −6)?
18