Quantity Sense
Which is larger:
Square root of 50 or 7
Square root of 50. Because 72 = 49
Find the area of a circle with radius 7 cm.
(Use π (pi) = 22/7)
154
Is the relation
{(1,2),(2,2),(3,4)}
a function?
Yes — each input has exactly one output.
Simplify:
23×24
27=128
Why was the equal sign so humble?
Because it knew it wasn’t greater than or less than anything.
Write 0.00056 in scientific notation.
5.6×10−4
Find the length of the hypotenuse of a right triangle with legs 9 cm and 12 cm.
92+122 = h2 225 = h2 h=15
Answer is 15
Evaluate f(−2) if
f(x)=3x−5
f(−2)=−11
Simplify:
(52)3
56
Why did the student bring a ladder to math class?
Because the problems were on another level.
Estimate the value of
(19.8)(0.51)
without a calculator.
≈ 20×0.5=10
A rectangle tells a square: “You think you’re special?”
Why does the square say yes?
Because all its sides are equal.
Find the domain of
f(x)=1/(x−4)
All real numbers except x=4
2x=16
x = 4
Why was the geometry book always calm?
Because it had all the right angles.
If x% of 200 equals 30, find x.
x=15
Why did the circle get invited to every party?
Because it has no corners.
Find the inverse of
f(x)=2x+3
f−1(x) = (x−3)/2
Evaluate:
log10(1000)
3
Why did the calculator break up with the math student?
Because it was being used too much.
Compare:
210 and 103
210=1024, 103=1000 → 210 is larger
What do we call the distance around a shape?
Perimeter
Is the function
f(x) = x2
one-to-one? Explain.
No — different inputs give the same output (e.g. 2 and −2).
Solve:
log2(x−1)=3
x - 1 = 8
x=9
Why did the math teacher open a bakery that cooks pie?
Because she was great at making pi(e).