Unit Test
Carlos graphed the system of equations that can be used to solve .What are the roots of the polynomial equation?
-3, -2, 3
What are the roots of the polynomial equation x cubed minus 7 x = 6 x minus 12? Use a graphing calculator and a system of equations.
-4, 1, 3
How many extraneous solutions does the equation below have2m/2m+3 - 2m/2m-3 =1?
0
The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 - 5t2, where t is the time in seconds. A high-speed camera is ready to film the person between 15 m and 10 m above the ground. For which interval of time should the camera film the person?
B
What is the solution of ?x+4/2x-1
D
What is the solution set of the quadratic inequality x^2-5<_0
D
What is thesolution set of course of x/4 9/x
D
When a baseball is hit by a batter, the height of the ball, h(t), at time t, , is determined by the equation . If t is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet?
D
which graph shows the solution set of the inequality x^2+10x+16/x-3 0
D
which graph shows the solution set of x-1/x-3 0
D
The graphs of two polynomial equations do not intersect. Kelly concludes that the system has no solution. Which statement best explains why Kelly's reasoning is correct or incorrect?
She is incorrect because systems may have only complex solutions which are not visible on a graph.
What is the solution for the equation StartFraction 5 Over 3 b cubed minus 2 b squared minus 5 EndFraction = StartFraction 2 Over b cubed minus 2 EndFraction?
b = 0 and b = 4
What is the solution of ?
x = 126
What is the solution of square root x+2-15=-3?
x = 142
What is the solution of square root x+12=x
x = 4
What is the solution to the equation y/y-4 - 4/y+4 =32/y^2-16?
y = -4 and y = 4
What are the solutions to the inequality (x-3)(x+5) ≤ 0
{x | -5 ≤ x ≤ 3}
The speed that a tsunami can travel is modeled by the equation , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?
0.32 km
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.How long will it take Ted and Jacob to clear the field together?
1 hour 12 minutes
A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = -16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?
3 < t < 4
Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, the situation can be modeled by the following equation, where t is the number of minutes it would take to mow the lawn together.
30.0 minutes
Mario makes 6 free throw shots out of his first 10 attempts. What is the least number of consecutive shots Mario must make to increase his overall percentage from 60% to at least 70%?
4
A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rectangular prism is 450 cubic inches. The equation can be used to find x. What was the side length of the original cube? Use a graphing calculator and a system of equations to find the answer.
5 inches
The orbital period, P, of a planet and the planet's distance from the sun, a, in astronomical units is related by the formula . If Saturn's orbital period is 29.5 years, what is its distance from the sun?
9.5 AU
What is the solution of 3x+8/x-4 >-0
A
