Algebra Week 2 Flashcards
Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel.
How old is Kevin now?
6 years old
In 56 years, Kevin will be 9 times as old as he is right now.
How old is he right now?
7 years old
Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishaan was 3 times as old as Christopher.
How old is Christopher now?
24 years old
A stone fell from the top of a cliff into the ocean.
In the air, it had an average speed of 16 m/s. In the water, it had an average speed of 3 m/s before hitting the seabed. The total distance from the top of the cliff to the seabed is 127 meters, and the stone’s entire fall took 12 seconds.
a) How long did the stone fall in the air?
b) How long did it fall in the water?
a) 7 seconds
b) 5 seconds
Dr. Potter provides vaccinations against polio and measles.
Each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. Last year, Dr. Potter gave a total of 60 vaccinations that consisted of a total of 184 doses.
a) How many polio vaccinations did Dr. Potter give last year?
b) How many measles vaccinations did Dr. Potter give last year?
a) 32 polio vaccinations
b) 28 measles vaccinations
Giselle works as a carpenter and as a blacksmith.
She earns $20 per hour as a carpenter and $25 per hour as a blacksmith. Last week, Giselle worked both jobs for a total of 30 hours, and earned a total of $690.
a) How long did Giselle work as a carpenter last week?
b) How long did Giselle work as a blacksmith last week?
a) 12 hours
b) 18 hours
Eudora ran from her home to her secret laboratory at an average speed of 12 km/h. She then took one of her jetpacks and flew to her school at an average speed of 76 km/h. Eudora traveled a total distance of 120 kilometers, and the entire trip took 2 hours.
a) How long did Eudora spend running?
b) How long did Eudora spend flying?
a) 0.5 hours
b) 1.5 hours
Yochanan walked from home to the bus stop at an average speed of 5 km/h. He immediately got on his school bus and traveled at an average speed of 60 km/h until he got to school. The total distance from his home to school is 35 kilometers, and the entire trip took 1.5 hours.
a) How many kilometers did Yochanan cover by walking?
b) How many kilometers did he cover by travelling on the bus?
a) 5 kilometers
b) 30 kilometers
Malcolm and Ravi raced each other.
The average of their maximum speeds was 260 km/h. If Malcolm’s speed is doubled, Malcolm’s maximum speed would be 80 km/h more than Ravi’s maximum speed.
a) What was Malcolm’s maximum speed?
b) What was Ravi’s maximum speed?
a) 200 km/h
b) 320 km/h
Each chef at “Sushi Emperor” prepares 15 regular rolls and 20 vegetarian rolls daily. On Tuesday, each customer ate 2 regular rolls and 3 vegetarian rolls. By the end of the day, 4 regular rolls and 1 vegetarian roll remained uneaten.
a) How many chefs were in “Sushi Emperor” on Tuesday?
b) How many customers were in “Sushi Emperor” on Tuesday?
a) 2 chefs
b) 13 customers
The organizer for a church picnic ordered coleslaw, potato salad, and beans amounting to 50 pounds. There was to be three times as much potato salad as coleslaw. The number of pounds of beans as to be 6 less than the number of pounds of potato salad.
Find the number of pounds of each.
8 pounds of coleslaw
24 pounds of potato salad
18 pounds of beans
Find three consecutive integers such that the sum of the first plus one-third of the second plus three-eights of the third is 25.
14, 15, and 16
The sum of the digits of a three-digit number is 14. The hundreds digit being 4 times the units digit. If 594 is subtracted from the number, the order of the digits will be reversed.
What is the number?
842
Dominic’s present age is 10 years more than Michele’s present age. In 5 years, Michele’s age will be three-fifths of Dominic’s age. What are their present ages?
Dominic is 20 years old
Michele is 10 years old
A mother is now three times as old as her daughter. In 4 years, the mother will be four times as old as the daughter was, two years ago. How old is the daughter?
12 years old
