Comparing with Number Lines
Exponents
Comparing Expressions
Integer Operations
Order of Operations
Mean, Median, Mode, & Range
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
-62
-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
A fast food restaurant collects the soft drink cans for recycling. The number of cans collected in two weeks are given below. Find the median.
84, 97, 77, 31, 84, 63, 58, 72, 47, 84, 69, 94, 43, 68
70.5
200
Plot the following values on a number line.
200
-63
-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
A fast food restaurant collects the soft drink cans for recycling. The number of cans collected in two weeks are given below. Find the mean number of cans collected.
84, 97, 77, 31, 84, 63, 58, 72, 47, 84, 69, 94, 43, 68
69.4
300
Mr. Shapiro and Ms. Boyce are arguing about absolute value. Ms. Boyce 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. Boyce'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 formula for range?
Maximum - Minimum = Range
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
A dendrologist measures the height (in feet) of several trees. The record heights are given below. What is the range of this dataset?
73, 68, 73, 85, 92, 81, 88, 35, 48
57
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?
-52 or (-5)2
(-5)2 = -5 x -5 = +25
-52 = -5 x 5 = -25
+25 > -25, thus -52 < (-5)2
500
Find the value of:
-3^2 * 9
-81
500
6*4-:12+72-:8-9
2
500
A dendrologist measures the height (in feet) of several trees. The record heights are given below. What is the mode of this dataset?
73, 68, 73, 85, 92, 81, 88, 35, 48
73