Show:
Exponents and Exponential Functions
Polynomials and Factoring
Quadratic Functions and Equations
Radical Expressions and Data Analysis
Rational Expressions and Functions
100
Simplify: c^3*v^9*c^(-1)*c^0 (100 points for each correct answer for your team)
c^2*v^9
100
Write the polynomial in standard form: 2x-3x^2+6+5x^3 ; (100 points for each correct answer for your team)
5x^3-3x^2+2x+6
100
Solve the equation: x^2-25=0 Hint: There are two answers. (100 points for each correct answer for your team)
x=-5 and 5
100
Simplify: sqrt(300) (100 points for each correct answer for your team)
10*sqrt(3)
100
Write an equation of the inverse variation that includes the point (2, 2). (100 points for each correct answer for your team)
xy=4 or y=4/x
200
Write in Scientific notation: 79,500,000,000 (200 points for each correct answer for your team)
7.95 x 10^10
200
Simplify and write in standard form: (5x^4+7x+2)-(3x^2-2x+9) ; (200 points for each correct answer for your team)
5x^4-3x^2+9x-7
200
Solve the equation: x^2-19x+88=0 Hint: Factor (200 points for each correct answer for your team)
x= 8 and 11
200
Simplify: sqrt(3) - sqrt(12) (200 points for each correct answer for your team)
-1*sqrt(3)
200
Identify the excluded value(s): (2x)/(8x-12) (200 points for each correct answer for your team)
The excluded value is 1.5 or 3/2. x cannot be 1.5.
300
Simplify: (6 x 10^4)(4.8 x 10^2) ; (300 points for each correct answer for your team)
2.88 x 10^7
300
Simplify the product: (q-1)^2 Hint: FOIL (300 points for each correct answer for your team)
q^2-2q+1
300
Complete the square and solve: x^2+6x-5=0 (300 points for each correct answer for your team) Extra Points: 300 for completing the square, 300 for solving for x.
(x+3)^2-14=0 ; x=-6.74 and 0.74
300
Simplify: -sqrt(18)/sqrt(12) Hint: Rationalize the denominator (300 points for each correct answer for your team)
-sqrt(6)/2
300
Simplify the expression: (n^2+4n-5)/(n+5) (300 points for each correct answer for your team) Hint: Factor first Extra points for exclude value(s).
(n-1) ; The excluded value is -5.
400
Evaluate for x=3: f(x)=4(0.95)^x ; (400 points for each correct answer for your team)
3.4295
400
Factor completely: -2h^2+4h+70 Hint: Factor out a number (400 points for each correct answer for your team)
-2(h-7)(h+5)
400
You throw a ball upward. Its height h, in feet, after t seconds can be modeled by the function h=-16t^2+30t+6. After how many seconds will it hit the ground? Hint: Quadratic Formula (400 points for each correct answer for your team)
The ball will hit the ground at 2.06 seconds.
400
Find the mean, median, and mode of the following data: 39 52 41 44 47 36 51 44 50 40 53 46 44 35 (400 points for each correct answer for your team) Hint: 100 points each, 400 for all three
Mean: 44.4 ; Median: 44 ; Mode: 44
400
Simplify: (5x)/(x^2+2x) divide (30x^2)/(x+2) (400 points for each correct answer for your team) Extra points for excluded value(s).
1/6x^2 ; Excluded values are 0 and -2.
500
Suppose a new car costs $30,000. You can use the function y=30000(0.85)^x to estimate the car's value after x years. a. What is the decay factor? What does it mean? b. Estimate the car's value after 4 years. (500 points each answer)
a. 0.85. The car depreciates 15% or -0.15 each year. b. After four years, the car is worth $15,660.19.
500
A rectangle has dimensions 3x+5 and x+4. Write an expression for the area of the rectangle as a product and as a polynomial in standard form. (500 points for each correct answer for your team)
(3x+5)(x+4) and 3x^2+17x+20 (500 points each for a total of 1000 points)
500
You are creating a rectangular banner for a school pep rally. You have 100 ft^2 of paper, and you want the length to be 15 ft longer than the width. What should be the dimensions of the banner? (500 points for each correct answer for your team)
x(x+15)=100 --> x^2+15x-100=0 --> (x-5)(x+20)=0 ; 5' x 20'
500
A basketball player scores 22, 19, 25, and 17 points in four games. How many points does the basketball player need to score in the fifth game to average 22 points scored per game? (500 points for each correct answer for your team)
(22+19+25+17+x)/5=22 ; 83+x=110 ; x=27 ; The basketball player needs to score 27 points to average 22 points per game.
500
A new photo copier can make 72 copies in 2 min. When an older photocopier is operational, the two photocopiers can make 72 copies in 1.5 minutes. How long will it take the older photocopier to make 72 copies working alone? (500 points for correct set up, 500 points for the correct answer for each team member)
72/2 + 72/x = 72/1.5 ; x=6 ; It takes 6 minutes for the older photocopier to make 72 copies when working alone.