Unit 1: Factoring
The factored form of 2xy-4x+3y-6.
What is (y-2)(2x+3)?
Simplify √200.
What is 10√2?
The vertex of -x^2 - 2x - 1.
What is (-1, 0)?
Solve using factoring. x^2+x-12 = 0.
What is x = -4, x = 3?
Originally, a rectangle was twice as long as it was wide. When 4 m are added to its length and 3 m subtracted from its width, the resulting rectangle has an area of 600 meters squared. Find the dimensions of the new rectangle.
What is 40m by 15m?
The factored form of x^2-10x+25.
What is (x-5)^2 ?
Simplify (6√18)/(√27).
What is 2√6?
The x-intercepts of -x^2 + x + 12.
What is (4,0) and (-3,0)?
Solve by completing the square. x^2 - 12x + 12 = 0.
What is 6 +- 2√6?
A rectangular field beside a river is to be fenced. No fence is needed along the river bank. Find the dimensions of the field that will provide the maximum area using 80 meters of fencing.
What are 20m by 40m?
The factored form of 6y^2+22y-8.
What is 2(3y-1)(y+4)?
Simplify (2√2+3√7)^2.
What is 71+12√14?
The range of -3(1/3)^x - 3.
What is y <= -3?
Solve using quadratic formula. 0= -x^2 -6x -7.
What is x = -3 +- √2 ?
A model rocket is launched with a velocity of 64 feet per second. The equation h = -16t^2 + 64t gives the height of the rocket t seconds after it is launched. Find how long it takes for the rocket to hit the ground.
What is 4 seconds?
The factored form of 98x^2y^2 - 128.
What is 2(7xy-8)(7xy+8)?
Simplify (√2)/(5+√3).
What is (5√2 - √6)/22?
The y-value of y = -4(1/4)^x + 1, when x = -2.
What is y = -63?
Solve using quadratic formula. -1/2x^2 + 13 = -6x.
What is x = 6 +- √62?
During the past several years, the population of Campbell County, Kentucky, has been decreasing at an average rate of about 0.3% per year. In 2000, its population was 88647. Find the current population (in 2021), if the trend continues.
The factored form of x^3 - 9x^2 -36x.
What is x(x-12)(x+3) ?
Solve for x. √(5+2x)+2=3+x.
What is x=2?
The vertex of -x^2 + x + 12.
What is (1/2, 49/4)?
Find the value of c so that x^2 + c - 6x = 0 has one real solution.
What is c = 9?
The sum of the squares of two consecutive negative even integers is 100. Find the integers.
What are -8, -6?