Written problems
Ali is 10 years old. His sister is 5 years older than him.
How old will his sister be after 10 years?
25 years old
How many outcomes are possible when rolling one die?
6
The ratio of boys to girls in a class is 3 : 5.
If there are 24 more girls than boys, how many students are there in the class?
Difference in ratio parts = 5 − 3 = 2 parts
2 parts = 24 students
1 part = 12 students
Boys = 3 × 12 = 36
Girls = 5 × 12 = 60
Total students = 96
How many terms are in the polynomial 4x2−3x+7
3 terms
Why did the math book look sad?
Because it had too many problems.
Two workers can finish a job in 6 days.
How many days will it take one worker to do the job alone?
12 days
What is the probability of rolling a multiple of 3 on a die?
2/6 = 1/3
A quantity increases from 50 to 60.
What is the percentage increase?
20%
Identify the degree of
6x4−2x+1
Degree 4
What has hands but can’t clap?
A clock.
A father is 4 times as old as his son.
In 20 years, he will be twice as old as his son.
How old are they now?
Father: 40 years
Son: 10 years
A number is chosen from 1 to 20. What is the probability it is even?
10/20 = 1/2
If 4 notebooks cost $10, how much do 10 notebooks cost?
25$
Simplify:
(3x2+4x)+(2x2−x)
5x2+3x
Why don’t scientists trust atoms?
Because they make up everything.
Three friends can paint a wall in 12 hours.
How long will it take 4 friends to paint the same wall (working at the same rate)?
9 hours
You toss a coin twice.
What is the probability of getting at least one head?
3/4. Lets say: 1st attempt tail, tail; 2nd head, tail; 3rd tail, head; 4th head, head
A jacket costs $80 and is discounted by 25%.
What is the sale price?
60$
Multiply:
x(2x2−5x+1)
2x3−5x2+x
What goes up but never comes down?
Your age.
A woman is 3 times as old as her daughter.
In 12 years, she will be twice as old as her daughter.
How old are they now?
Woman: 36 years
Daughter: 12 years
What is more likely:
getting exactly one head or at least one head when tossing a coin twice?
At least one head
(3 outcomes vs 2)
A price increases by 20%, then decreases by 20%.
Is the final price the same as the original? Explain.
No — percentage changes apply to different amounts.
Factor completely:
x2−9
(x−3)(x+3)
A teacher says, “I have a joke about construction…”
Why does the teacher stop?
Because it’s still under construction.