Ms. Xiao
Upper/Lower Bounds
Exponents
Numbers
Functions
100

What cartoon character does Ms. Xiao most often use in her word problems?

Minions (Bob, Kevin, Stuart)

100

What is the upper and lower bound of 5?

Upper bound: 5.5

Lower bound: 4.5

100

If 3n=81. Find n.

n=4

100

Which of the following are rational numbers?

7pi   0.3333   (5/15)-1   10

All except 7pi

100

L1 has the equation y+16x=100-14x. What is the slope and y-intercept of L1?

y=-30x+100

slope: -30

y-intercept: (0,100)

200

What country was Ms. Xiao born in?

China

200

If x=7.37 to two decimal places, what is the lower and upper bound?

Lower bound: 7.365

Upper bound: 7.375

200

Write the expression as a single power

2^5 times 4^2

29

200

Is 3√125 a surd or not and how do you know?


It is not a surd because it simplifies to 5, which is a rational number.

200

If f(x)=x2-11 and g(x)=(x+2)/5.

What is f(g(3))?

-10

300

In what US state does Ms. Xiao go to college in?

Minnesota

300

If a=3.1 to one d.p. and b=4.2 to one d.p., what is the upper bound of a+b?

Upper bound of a is 3.15

Upper bound of b is 4.25

SO... Upper bound of a+b is 7.4

300

Simplify 

2a^-1b^3times4a^-3b^-6

8a^-4b^-3=8/(a^4b^3)

300

Simplify √180.

6√5

300
If f(x)=(x+2)2/9, what is f-1(900)

88

400

In Ms. Xiao's first lesson with this class, what was the topic?

Sequences

400

The length of a rectangle is 11.1 to one d.p. and the width is 5.2 to one d.p. Find the lower bound for the area of the rectangle.

LB of 11.1 is 11.05

LB of 5.2 is 5.15

SO... LB of area is 56.91

400

Simplify and evaluate:

(2x^2y)^3/(5x^6y^2)times((x^3)/(2y^2))^3

x^9/(5y^5)

400

Simplify (√20)/(√50).

(√10)/5

400

L1 goes through points P(1,2) and K(5,-2). There is a perpendicular line L2 to L1 that goes through the point (1,4). What is the equation of L2?

y=x+3

500

What are Ms. Xiao's three majors in college?

Mathematics, Education, Asian Studies

500

If the length of a cereal box is 10cm, the width is 4cm, and the height is 2cm to the nearest cm, what is the upper bound of the volume of the cereal box?

10.5(4.5)(2.5)=118.125cm3

500

A rectangular pool has some length x2 and a width that is the length cubed times two. If the area of the pool is 13122 cm2, what is the length of the pool?

9cm

500

Simplify (4√3)/(3+√6).

4√3 - 4√2  or  4(√3 - √2)

500

L1 goes through points P(-10,2) and K(14,-2). There is a parallel line L2 to L1 that goes through the midpoint of PK. What is the equation of L2?

y=-1/6x+1/3

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