Slope and y-intercept
The equation in slope-intercept form of a line with a slope of -3 and a y-intercept of 8.
What is y = -3x + 8
The solution to the system of equations 4x + 8y = 20 and -4x + 2y = -30.
What is (7, -1)
The GCF of these three monomials: 12x4y2, 4x3y5, and 8x2y3
What is 4x2y2
Does the quadratic equation y = 3x2 + 4x + 5 have a minimum or a maximum.
What is minimum (parabola opens upward)
Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?
What is 9.4 miles.
The slope of this line: 10x + 5y = 30
What is -2
The solution to the system of equations 8x + y = -16 and -3x + y = -5.
What is (-1, -8)
The area of a rug is represented by the polynomial 4x2 + 8x + 4. Each side of the rug is this length.
What is 2x + 2
The quadratic equation y = -16x2 + 200x gives the height of a superheroes jump as a function of time. This is the superheroes maximum height on the jump.
625 feet
A farmer has a water tank in the shape of a cylinder with a radius of 7 ft and a height of 3 ft. The tank comes equipped with a sensor to alert the farmer to fill it up when the water falls to 20% capacity. What is the volume of the tank (rounded to the nearest tenth) when the sensor turns on?
What is 92.3 cubic feet.
What is 3
The solution to the system of equations -7x + y = -19 and -2x + 3y = -19.
What is (2, -5)
The area of a poster board is x2 + 3x - 10. The width is x - 2. This is the length.
What is x + 5.
The quadratic equation y = -8x2 + 24x represents Tyler kicking a soccer ball. This is the maximum height of the soccer ball.
18 feet
An Olympic-sized swimming pool has a length of 164 feet, a width of 82 feet, and a depth of 6.5 feet. This is the volume of the pool when filled to 75% capacity.
What is 65,559 cubic feet.
The y-intercept of a linear equation with ordered pairs (-8, 7) and (-2, 3)
What is 5/3
The solution to the system of equations -14 = -20y - 7x and 10y + 4 = 2x.
What is (2, 0)
When factored the polynomial 21x2 -22x + 5 is equal to these two binomials.
What is 3x - 1 and 7x - 5.
A rocket launch is represented by the quadratic equation y = 16x2 + 125x + 15. This is the time (rounded to the nearest second) that the rocket will be in the air before it returns to the ground.
What is 8 seconds
A football field is 100 yards by 53 yards. This is the area in square feet.
What is 47,700.
The y-intercept of a liner equation with a slope of -4.5 and an ordered pair of (-1, 7)
What is 2.5
The solution to the system of equations 3 + 2x - y = 0 and -3 - 7y = 10x.
What is (-1, 1)
A square tabletop has an area of 9x2 - 90x + 225. When x is equal to 25 inches this is the perimeter of the tabletop.
What is 240 inches.
50 meters.
The sun is approximately 93,000,000 miles from the Earth. This is that length in inches.
What is 5,892,480,000,000 inches.