Word Problems
Monomials and Polynomials
Trinomials
Perfect Square Trinomials
Special Products and Fourth Degree Trinomials
100
Use the formula h=vt-16t2 to solve each problem Football A Punter can kick a football with an initial velocity of 48 ft per second. How many seconds will it take for the ball to return to the ground?
3 seconds
100
Factor the monomial completely: -121x2yz2
-1 * 11 * 11 *x *x * y*z*z
100
Factor each Trinomial w2-w-6
(w-3)(w+2)
100
Determine if the trinomial is a perfect square. If it cannot be factored, write prime. x2-16x+64
What is yes and (x-8) (x-8)
100
Use the following formula: (a+b)2= a2+2ab+b2 b2-1
What is (b-1)(b+1)
200
Use the formula h=vt-16t2 to solve each problem Baseball A ball is thrown up with an initial velocity of 32 feet per second. How many seconds will it take for the ball to return to the ground?
What is 2 seconds.
200
Find the GCF of each set of monomials: 88c3d, 40c2d2, 32c2d
8c2d
200
Factor each trinomial c2+4c-45
(c-5)(c+9)
200
Factor each polynomial y2+24y+144
What is (y+12)2
200
Use the following formula: (a+b)2= a2+2ab+b2
x2-225
What is (x-15)(x+15)
300
Use the formula h=vt-16t2 to solve each problem Rocket Launch If a rocket is launched with an initial velocity of 1600 feet per second, when will the rocket be 14,400 feet high?
What is at 10 seconds and 90 seconds
300
Factor Each Polynomial 6y2- 4y+3y-2
(2y+1) (3y-2)
300
Factor each trinomial j2-9jk-10k2
(j-10k)(j+k)
300
Factor each polynomial. 16c2+72cd+81d2
What is (4c+9d)2
300
Use the following formula: (a+b)2= a2+2ab+b2
q2-121
What is (q-11)(q+11)
400
Carpentry Miko wants to build a toy box for her sister. It is to be 2 feet high and the width is to be 3 feet less than its length. If it needs to hold a volume of 80 cubic feet, find the length and width of the box.
What is length= 8 ft; width= 5ft
400
Factor Each Polynomial 9x2-3xy+6x-2y
(3x+2) (3x-y)
400
Solve the equation h2+2h=35
(-7, 5)
400
Factor each polynomial. 6d2-96
What is 6 (d-4)(d+4)
400
Use the following formula: (a+b)2= a2+2ab+b2
16t2-s2
What is (4t-s) (4t+s)
500
Diving Lauren dove into a swimming pool from a 15- foot-high diving board with an initial upward velocity of 8 feet per second. Find the time t in seconds it took Lauren to enter the water. Use the model for vertical motion given by the equation h=-16t2+vt+s, where h is height in feet, t is time in seconds, v is the initial upward velocity in feet per second, and s is the initial height in feet. (Hint: let h=0 represent the surface of the pool)
1.25 seconds
500
Factor Each Polynomial x+x2y+x3y2
x(1+xy+x2y2)
500
Solve the equation 17s+s2=-52
(-13, -4)
500
Solve each equation. Check your solutions. x2-6x+9=25
What is (-2, 8)
500
Use the following formula: (a+b)2= a2+2ab+b2
25c2-81d2
(5c-9d) (5c+9d)
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