Simplify and state what exponent rule is being used.
-4x5 * 6x7
What is -24x12
Product Rule
100
8g - 5g + 3g
What is 6g
100
8q5*(-18q9)
What is -144q14
100
Factor.
-16*j8*k4 - 40*k7*j3
What is -8*j3*k4(2*j5 + 5*k3)
100
The height of the world's tallest building is 2717 feet. The function y = -16t2 + 2717 represents the height of a dropped object, t is time in seconds. Calculate the height of the falling object when t = 10 seconds.
What is 1117 feet
200
Simplify and state what exponent rule(s) is/are being used.
(-5*a3*b-6*c-8)3
What is (-125*a9) / (b18*c24)
Power of a Product and Negative Exponents
200
(-7x + 5) + (-4x2 - 3x + 3)
What is -4x2 -10x + 8
200
-3b3*(3b3 - 6b + 5)
What is -9b6 + 18b4 - 15b3
200
5xy - 15x - 6y + 18
What is (y - 3)(5x - 6)
200
The length of one leg of a right triangle is 9 meters less than the length of the other leg. The length of the hypotenuse is 45 meters. Find the lengths of the legs.
What are 27 meters and 36 meters
300
Simplify and state what exponent rules are being used.
(3y-5 / 6y-4)-2
What is
4 / y2
Power of a Quotient, Quotient Rule, Negative Exponents
300
(4z2 - 8z + 3) - (-3z2 + 8z - 9)
What is 7z2 -16z + 12
300
(18r2 + 18r - 8) / (3r + 4)
What is 6r - 2
300
Factor.
30 - 31h + h2
What is (h - 30)(h - 1)
300
The cost of producing widgets is represented by the function C(x). If C(x) = x2 - 15x + 50, find how many widgets were produced if the total cost is $11,550.
What is 115 widgets
400
Simplify and state what exponent rules are being used.
((-2xy-3)-3) / ((xy-1)-1)
What is
-y8 / 8x2
Power of a Product, Negative Exponents, Quotient Rule
400
Subtract (11a2 - 4a + 2) from (7a2 - 9a + 6)
What is -4a2 - 5a + 4
400
(3s2 + 17s + 7) / (3s + 2)
What is (s + 5) - (3/(3s+2))
400
Factor.
6m3 - 28m2 + 16m
What is 2m(3m - 2)(m - 4)
400
The sum of two numbers is 27 and the sum of their squares is 365. Find the numbers.
What are 13 & 14
500
Simplify and state what exponent rules are being used.
(-3*x2*y-5)-2*(-4*x4*y10)^1 / (xyz)-4
What is
4*x4*y4*z44 / 9
Power of a Product, Quotient Rule, Negative Exponents
500
A piece of wood is (4w2 + 4w +1) meters long. If a piece that is (w2 - 10) is cut, this is the expression of the remaining piece as a polynomial in w.
What is (3w2 + 4w +11) meters
500
18x10a - 12x8a + 14x5a - 2x3a) / (2x3a)
Assume x and a do not equal 0.
What is 9x7a- 6x5a+ 7x2a - 1
500
Factor.
6*r2*t + 7*r*t2 + t3
What is t(6r + t)(r + t)
500
A rectangular garden is surrounded by a walk of uniform width. The area of the garden is 180 sq. yds. If the dimensions of the garden plus the walk are 16 yd by 24 yd, find the width of the walk.
Hint: Draw a picture of the garden and walk.