Expressions and Equations
Rates and Ratios
Surface Area
Probability
Rational Numbers (Elevation)
100
5 × 9 + 4 ÷ 2 + 6 – 10 × 2
What is 33.
100
Chad's baseball team is practicing hitting in the batting cages. The pitching machines pitch baseballs at a rate of 35 pitches in 5 minutes. Chad practiced hitting for 8 minutes.
How many baseballs were pitched to Chad in that time?
What is 56 pitches.
100
What is H or 42 in2.
100
On a fair six-sided die, each side of the die is labeled with a value from one to six. When rolling the die, the die will roll around and, eventually, land on one of its sides. There are exactly six possible outcomes that can occur from rolling the die: The die can land on a one, a two, a three, a four, a five, or a six.
When rolling a die, what is the probability of the die landing on a three?
1/6
100
A sailor is 4 ft above sea level. He dropped his anchor 56 ft below his ship. What is the elevation of the anchor?
What is -52 ft or 52 ft below sea level.
200
What are the coefficients? What are all of the terms? What are the variables? (FULL ANSWER MUST BE CORRECT TO RECEIVE POINTS)
4a2 - 2 + 7b
What is ..
coefficients: 4, 7
terms: 4a2, -2, 7b,
variables: a, b
constants: -2
200
Three large tubs of ice cream cost $18 at a grocery store, while at a wholesale store, nine large tubs of ice cream cost $45.
Which is the better deal? Explain why.
What is the wholesale store. Grocery store 1 tub costs $6 and the wholesale store charges $5 per tub. The cheaper option for the same amount of ice cream is the better option.
200
What is 189.8 or 189 4/5.
200
What is the probability that the first roll will land on 2 or 3?
What is 2/6 or 1/3.
200
A number to the left of zero has an absolute value of 5. How far is the opposite of this number from 0?
Explain how you know.
5 units because the only number number to the left of 0 with an absolute value of 5 is -5. The opposite of -5 is 5. Both of these values have the same absolute value because the have the same magnitude (distance away from 0).
300
Simplify (3 – 4)3 + 8 × (2 – 5)
What is -25.
300
Two trains leave the station at the same time. Train 1 is moving at a constant speed of 18 miles per hour, and Train 2 is moving at a constant speed of 16 miles per hour. After 24 minutes, how much farther, in miles, is Train 1 than Train 2?
What is 0.8 miles or 8/10.
300
What is the surface area of this figure with appropriate units.
What is 168 feet squared.
300
In a standard deck of playing cards, there are 52 cards in total. There are 4 suits: spades, hearts, clubs, and diamonds. There are 13 ranks in every suit: ace, two, three, four, ..., nine, ten, jack, queen, and king.
What is the probability of drawing the jack of spades, the queen of spades, or the king of spades?
What is 3 out of 52 or 3/52.
300
Consider an elevator traveling up and down in an office building. When Marguerite gets on the elevator on the 2nd floor, it travels up to the 16th floor, then down to the 8th floor, and then back up to the 22nd floor, where Marguerite gets off.
When Marguerite gets off the elevator, how many floors is she from her starting point? Is Marguerite above or below her starting point?
What is 20 floors.
400
Which of the expressions below is not equivalent to 9c+27=81?
A. 3c+9=27
B. c=6
C. 81=18c+54
D. 9c=54
What is C. 81=18c+54.
400
Mr. A is loading a bucket of water at a constant rate. He fills his bucket of 8-gallons every 40 hours .
Write an equation to represent g, the number of gallons of water that he is able to have in H hours. Use your equation to determine the number of gallons of water he will have in 80 hours.
What is h=5g or g=h/5 and 16 gallons.
400
What is surface area?
What is 34.125.
400
In a standard deck of playing cards, there are 52 cards in total. There are 4 suits: spades, hearts, clubs, and diamonds. There are 13 ranks in every suit: ace, two, three, four, ..., nine, ten, jack, queen, and king.
When drawing a card from a shuffled deck:
What is the probability of drawing a black card (a club or a spade)?
What is 26/52 or 1/2 or 50%.
400
Consider an elevator traveling up and down in an office building. When Marguerite gets on the elevator on the 2nd floor, it travels up to the 16th floor, then down to the 8th floor, and then back up to the 22nd floor, where Marguerite gets off.
How many total floors did Marguerite travel through?
What is 36 floors.
500
Solve
1/2(-6−5)−(-3)2
What is -29/2 or -14 1/2.
500
At a school, the ratio of 6th graders to 7th graders is 2:3.
25% of the 6th graders have school lunches.
30% of the 7th graders have school lunches.
What is the total percentage of students in the 6th and 7th grade who have school lunches?
What is 28%.
500
What is the surface area?
What is 84 inches squared.
500
In a standard deck of playing cards, there are 52 cards in total. There are 4 suits: spades, hearts, clubs, and diamonds. There are 13 ranks in every suit: ace, two, three, four, …, nine, ten, jack, queen, and king.
A card is drawn from a 52-card deck. It is placed back in the deck, and a second card is drawn.
What is the probability that the first card will be a king?
What is the probability that the first card will not be a heart?
Must get both correct.
What is 4/52 (1/13) and 39/52 (3/4).
500
Temperatures in the winter are, on average, 8 degrees less than one fifth of the summer temperature. If the average temperature in February is –2°C, what is the average temperature in July?
What is 30 degrees Celsius.