Marbles are placed in a jar one at a time.
Graph the total mass of the jar and marbles as the marbles are added?
Discrete data (Dots not a line) with Mass output not at zero to start, marbles are input starting at zero.
100
A hot-dog stand owner makes a profit of $100 when he sells 90 hot dogs a day. He has a loss of $30 when he sells 25 hot dogs a day.
Which linear relation represents his profit?
What is y = 2x - 80?
100
Simplify:
sqrt x^3 ÷ cubert x^4
What is sixthrt x?
100
The slant height of a square pyramid is 45 cm. the base is 30 cm. Calculate its volume.
What is 12 728 cm^3?
200
The LCM of two numbers is 2^3 x 3^2.
What is the least common multiple of 18 and 24?
200
Identify the functions:
A) The output is 6 more than half the input.
B) y = 2x + 5
C) {(0 , 2) , (1, 4) , (3, 6) , (4 , 5) , (4 , 3) , (7 , -8)}
What is A and B?
200
Determine the slope-intercept form of the line that passes through the point (-4 , 3) and is parallel
to the line segment that joins A(-1, -5) and B(-3, 1) .
What is y = -3x - 9?
200
Expand (4x - 3)^2
16x^2 - 24x + 9
200
A bacteria culture doubles every hour. If there are 10 000 bacteria now, how many bacteria were there 4 hours ago? Answer to the nearest bacterium.
What is 625?
300
The number of solutions
y = 3x + 7
y = 3x - 4
What is system has no solution?
300
On a graph
Input = Number of Tickets Sold
Output = revenue from tickets
Slope represents?
price per ticket
300
the ordered pair that represents f (8) = -7.
What is (8, -7)?
300
Expand and simplify (x - 3) (x^2 + 2x - 4)
What is x^3 - x^2 - 10x + 12?
300
The angle of elevation of the sun is 15°. How long is the shadow of a 64 m tall building?
What is 239 m?
400
What is the greatest common factor of 12, 24 , 30 , 72 ?
2 x 3 = 6
400
A line has a slope of 2/3 and passes through the point (6 , 0) . Which of the following points must also be on the line?
A. (9 , 3)
B. (3, 8)
C. (4 , -3)
D. (-3, -6)
D. (-3, -6)
400
Kim invested a total of $1500 between two bonds. One bond earned 8% per annum and the other bond earned 10% per annum. In one year, Kim earned $132 on her investments. How much did she invest in the bond that earned 10%?
What is $600?
400
A Large rectangle has dimensions of 2x + 11 and x + 5.
A small rectangle has dimensions of x – 6 and x – 2.
If the small rectangle is placed on top of the large rectangle. What is the amount of area that of the large rectangle that is visible?
What is x^2 + 29x + 43?
400
The slope of AB is - 2/3. The slope of CD is w/24. Given AB || CD , determine the value of w.
Answer as an integer.
What is -16?
500
A right triangle with angle A has a sin of 2/3. What is the cos of A?
sqrt 5/3
500
Damien has a list of 37 potential customers for his house painting business. In order to get a business grant, he must graph his income versus the number of customers. Determine the domain of the graph.
What is {0 , 1, 2, 3,…37}?
500
Joey bought 8 books. Some books cost $12 each the rest cost $18 each. He spent a total of $108.
Write a system of linear equations that could represent the given situation?
What is
x + y = 8
12x +18y = 108
500
Factor x^2 - 8x - 20
What is (x - 10) (x + 2)?
500
A cylinder with a diameter of 10 cm and a height of 12 cm is half full of water. A sphere with a diameter of 5 cm is dropped into the cylinder. How far will the water level rise once the sphere is completely under the water?