1-5
The discriminant tells us
how many solutions
Use quadratic formula to solve:
4m2-m-5=0
m=5/4 and m=-1
Jenna measured a swimming pool and made a scale drawing. The pool is 20 centimeters long in the drawing. The actual pool is 40 meters long. What scale did Jenna use for the drawing?
1 centimeter : 2 meters
Two friends, Jay and Lisa, are going to depart from their house and ride their bikes toward each other until they meet, and then have a picnic. Jay can bike 15 kilometers per hour, while Lisa can bike 17 kilometers per hour. If their houses are connected by a straight road that is 8 kilometers long, in how long will the two meet?
15 minutes or 0.25 hours
A city doubles its size every 24 years. If the population is currently 145,000, what will the population be in 48 years?
580,000
Find the discriminant: 9v2-7v-7=0
301
Fill in the number that makes the following expression a perfect square quadratic: k2-28k+____
196
Anna rides the subway to work every day. On a route map, the distance between the station by her house and the station by her work is 8 inches. What is the actual distance between the two subway stations if the scale of the map is 2 inches : 1 mile?
4 miles
Find f(2): f(x)=5(10)x
500
Tritium is a radioactive isotope of hydrogen that decays by about 5% per year. A large bottle of water that contained 450,000 tritium atoms remained undisturbed for 11 years. How much tritium does the bottle contain now?
255,960
Find the discriminant
0
Fill in the number that makes the following expression a perfect square quadratic: m2+4m+_____
4
A 3-quart container of window cleaner costs $9.60. What is the price per cup?
$0.80 per cup
Find f(3): f(x)=7x+9
352
Brooke is playing a video game in which she establishes and builds up a city. The population of this city is currently 101,660 people, a number that increases by 8.5% every year. What will the population be in 3 years?
129,849
How many real solutions does the following quadratic equation have:
8s2-6s-7=0
two real solutions
Solve by completing the square:
g2-10g-7=0
g=10.66 and g=-0.66
Bert and his puppy Rover are out for a morning jog at a comfortable pace of 10 minutes per mile. If they keep up this pace for 2 hours, how many miles will they jog?
12 miles
Find f(0): f(x)=4.9x
1
Use quadratic formula to solve:
-6y2-2y+8=0
y=-4/3 and y=1
Solve by completing the square:
2r2-4r-62=0
r=6.66 and r=-4.66
Henry and Frank just finished a picnic at the park and are about to ride their bikes home. Henry goes 14 miles per hour, and Frank goes 11 miles per hour in precisely the opposite direction. In how long will they be 6 miles apart?
14 minutes or 0.24 hours
Find f(5): f(x)=2(2)x
64