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100
Determine if the following measurements are the lengths of a right triangle:
6, 8, 9. Explain your reasoning.
No, because 62 + 82 DOES NOT EQUAL 92
100
A marble has a diameter of 13 millimeters. What is the closest measurement to the volume of the marble in cubic millimeters? (round to the nearest whole number)
What is 1,150 mm3
100
Which is the proper format for an exponential equation?
A. y- y1=m(x-x1)
B. y= a(b)x
C. y= ax2+bx+c
D. y= mx+b
What is B. y= a(b)x
100
Where is the axis of symmetry for the function
f(x) = (x - 1)(x + 5)?
What is x= -2
**Remember, axis of symmetry is the average of your roots (1 + (-5))/2.
100
Write the equation of the line that has a slope of -7 and a y-intercept of 18.
What is y= -7x + 18
200
Determine if the following measurements are the lengths of a right triangle:
10, 24, 26. Explain your reasoning.Yes, because 102 + 242 = 262
200
A cone has a radius of 12 centimeters and a height of 18 centimeter. What is the volume of the cone in cubic centimeters?
What is C. 864pi cm3
200
What does the "a"value in the exponential equation represent?
What is the y-intercept, or starting value for the function.
200
What kind of parabola is created by the function
f(x)= -4x2+6x-7? How do know?
What is a negative parabola, because the "a" value is negative (-4).
200
Simplify the sqrt(72).
What is 6sqrt(2).
300
What is D. 82 + 152= TQ2
300
What is A. 314.2 cm3
300
What are the key features of the exponential function f(x)= 2(0.23)x
-y-intercept
-inc or dec (growth or decay)
-rate of inc/dec
**Remember, rate is always 1-b**
What is y-intercept at (0,2) and decreasing (decay) at a rate of 77%.
300
Which of the following is the correct factored form for:
f(x) = x2-5x+6?
A. (x +3)(x+2)
B. (x-4)(x+2)
C. (x-5)(x-1)
D. (x-3)(x-2)
What is D. (x-3)(x-2)
**Remember, the factored form are just the zeros inside of the parentheses. Also remember, the parentheses change the sign of your roots.
300
What transformation described by the rule
(x - 8, y + 7)?
What is translate (slide) 8 units left, and 7 units up.
400
The image shows a right triangle and the lengths of two of its sides in inches. What is the closest measurement of the value of d in inches? (round to the nearest tenth)
What is 14.3 inches.
400
A cylinder has the height of 5 feet and a diameter of 2 feet. What is the volume of the cylinder in cubic feet? (Round to the nearest tenth).
What is 15.7 ft3
400
Ngozi earns $24,000 in salary in the first year she works as an interpreter. Each year, she earns a 3.5% raise.
Write a function that gives Ngozi's salary S(t), in dollars, t years after she starts to work as an interpreter.
What is S(t)= 24000(1.035)t
400
Which of the following is a possible factor for the quadratic function f(x)= 5x2 + 10x - 15
A. x+1
B. 3x + 3
C. 5x - 15
D. 5x - 5
What is D. 5x - 5
**Remember: Factors cross at the solution (x-intercept)
400
A square garden has the area of 169 square feet? What is the side length of the garden in feet?
What is 13 ft.
500
The width of a rectangle is 4 feet, and the diagonal is 13 feet. What is the closest measurement of the rectangle's length, in feet? (Round to the nearest tenth)
What is 12.4 ft.
500
A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. What is the approximate measurement of the volume of water in the fishbowl? (Round to the the nearest hundredth)
What is 2144.66 in3
500
Mapiya just bought her first car. The car is worth $75,000, and depreciates in value by 6.5% each year.
Write a function that gives the price value of Mapiya's car V(n) , in dollars, after n years.
What is V(n)= 75000(0.935)n
500
Describe the transformation of the quadratic function f(x)= x2, if f(x) becomes -f(x) + 4.
What is flip (negative parabola) and translate UP 4 units.
500
How do you "undo" a cubed value in desmos? (x3)
What is raise it to the 1/3 power (x1/3).