Comparing with Number Lines
Exponents
Comparing Expressions
Integer Operations
Order of Operations
Potluck
100

A diver is about to dive into a pool to practice for the Olympics. The diving board is 60 feet above the bottom of the pool. If the pool is 20 feet deep, how tall must the diving board be? Draw a vertical number line to help you!

The diving board is 40 feet tall.



100

(-6)2

36

100

Complete this statement using either <,>, or =.


The absolute value of -3.50 is greater.

100

What is the value of:

-13 + 27 + (-23)

-9

100

(15+35-2)-:12-5^2

-21

100

Evaluate the following expression when x = 2 and y = -3;    -(x)2+y(y-2)

6

200

Plot the following values on a number line. 


200

(-6)3

-216

200

Complete the following statement using either >, < , =.

-42.17 _____ -42.16

-42.17 < -42.16

200

Find the difference:

-35 - (-12)

-23

200

9(13*2+9^2)-4

959

200

Ms. Halsall has made a mistake when calculating order of operations. What is the mistake? You should answer in a full sentence. 

Mistake at Step 2. Ms. Halsall should not have added 4 and 8, and instead should have multiplied 8 and 3 because multiplication comes before addition and subtraction. 

300

Mr. Shapiro and Ms. Halsall are arguing about absolute value. Ms. Halsall says the absolute value of 4 is -4. Mr. Shapiro thinks she's wrong, but is not sure of how to explain why. What is Ms. Halsall's error? 

Ms. Boyce is incorrectly thinking that the absolute value of a positive number is negative. Absolute value must always be positive or zero because it describes a number's distance from zero. 

300

Write the following expression:

"A number raised to the nth power multiplied by 4"

Acceptable answers:

4x^n

x^n * 4

300

Complete the following statement using either <,>, =.

-9 - 11 < -9 - (-11)

Because

-20 < -2

300

Find the value of:

-26 - 14 +2

-38

300

(11-8)-5^2(11+2)

-322

300

What is the value of:   -7+ (-7)+ -(7)2

-49

400

Which point on the number line below will have the largest absolute value?

5 will have the greatest absolute value because it is the furthest from zero. 

400

Simplify the following expression:

-8^0

When a number is raised to the power of zero, the resulting value is 1. 

-8^0 = -1

400

Complete the following with either a <,>, or =.

400

-1/2 + 5.25 - 1

3.75

400

(4+2)^3+(5-14-:7)

219

400

Which expression has a greater value if x=-2:

|x+3|, -|x|, |x|, |-x|, |3-x|

|3-x|=|3--2|=|3+2|=|5|=5

500

A new point Z is added to the left of point B. Which is greater: 

z * d or z * g

z * d 

because since we know that z is negative and d is ALSO negative, we will be left with a positive value. 

z * g

will leave us with a negative value, and positive values are always greater than negative values.

500

Minnie wrote the following on her paper. What is her mistake? What should her paper look like?

2^3 = 6

Minnie incorrectly multiplied the exponent by the base, instead of repeatedly multiplying 2 three times.

2*2*2 = 8

500

Which has a greater value?

-5or (-5)2

(-5)= -5 x -5 = +25 

-52 = -5 x 5 = -25

+25 > -25, thus -5< (-5)2

500

Find the value of:

-3^2 * 9

-81

500

6*4-:12+72-:8-9

2

500

What is the temperature change from 89 degrees to -17 degrees?

The change is a drop by 106 degrees.