True or False?
The coordinate pair (-4, 5) is a solution to the following linear equation:
y = 3x - 7
False. However, the coordinate pair (-4, -19) would be a solution to the equation.
100
True or False?
The following is a proportion: 22/29 = 88/116
True. The cross products are equal, therefore it is a proportion.
100
What is the sum of the exterior angles of a regular octagon?
The sum of the exterior angles of any polygon is 360º.
100
It took Mr. Thomas 2 1/2 hours to hike Mt. Kilimattjaro. It took Tomás 2/3 the time it took Mr. Thomas. How long did it take for Tomás to hike the mountain in minutes?
100 minutes
200
-2x - 12 = 6
x = -9
200
y = 3x + 2
Evaluate the linear equation above for a domain of {-2, 0, 3}. Express your answer as a set of coordinate pairs.
(-2, -4), (0, 2), (3, 11)
200
Solve for x: 3/8 = x/36
x = 13.5
200
Find the volume of a rectangular prism with the following dimensions:
Length = 8 in.
Width = 4 in.
Height = 7 in.
The volume is 224 in3.
200
Mr. S randomly rolled a nine-sided di (numbered 1-9) and picked a student in his class based on hair color. Of the 20 students in the class, 3 are blonde, 2 are redheads, and the rest are brunettes.
What is the probability that Mr. S will roll an odd number and choose a blonde?
The probability is 15/180 or 1/12.
300
(4x + 5)/3 = 11
x = 7
300
Identify the slope and y-intercept of the equation below:
y = -4x - 15
Slope = -4
y-int. = -15
300
One class in a school has 8 boys and 9 girls. If this same ratio holds true for the entire school of 663 students, how many girls would you expect total?
351 girls.
300
A right triangle measures 34 inches on its longest side and 30 inches on one of its legs. What is the measure of the missing leg?
The missing leg is 16 inches long.
300
Emerson received the following number of texts (from her mom) last week:
Monday: 27
Tuesday: 20
Wednesday: 42
Thursday: 51
How many texts must she receive on Friday to make her mean number of texts per day equal 33?
She would need to receive 25 texts on Friday.
400
2x + 16 = 76 - 3x
x = 12
400
Write a linear equation in slope-intercept form for a line with a slope of 2/3 and a y-intercept of -6.
y = 2/3x - 6
400
Solve for x 7/3 = (2x + 5)/x
x = 15
400
Find the perimeter of a half circle with a radius of 5 cm. (to the nearest tenth)
The perimeter is 25.7 cm.
400
For the physics lovers in the room, the expression below represents the height of a ball, in feet, t seconds after it is thrown straight up in the air
96t - 16t2
What is the height of the ball 3 seconds after being thrown in the air?
144 feet in the air.
500
2/3x - 18 = -24
x = -9
500
A college offers two dining plans.
Option 1: Student pays $100 per month, plus $5 every time they enter the dining hall.
Option 2: Student pays $400 per month and has unlimited access to the dining hall.
How many times per month must you eat at the dining hall to make Option 2 the better choice?
You must eat at the dining hall 61 times per month to make Option 2 the better choice.
500
A model of the Empire State Building is 17.728 meters tall. The actual Empire State Building is 443.2 meters tall. What is the scale of the model?
1m = 25m
500
A triangle has angles measuring 75º, 5x, and 13x - 3. Find the missing angle measures in degrees.
The missing angles are 30º and 75º.
500
Two friends, Pythagoras and Isaac, both bought plane tickets for their families to travel to Greece for the summer. They both purchased their tickets from a bargain website which charged a flat booking fee on top of the cost of the tickets. Pythagoras paid $594 for three tickets, while Isaac paid $1,374 for seven tickets.
How much would their third friend, Mr. S, pay for one ticket (including the booking fee)?