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Systems of Equations
Polynomials
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Radicals
Rational Functions and Equations
100
The solutions to this system of equations. x + y = 13, x - y = 5
What is x = 9 and y = 4 (9, 4)?
100
The number 2,300,000 in scientific notation.
What is 2.3 X 10^6?
100
The solutions to the equation 9x^2 - 25 = 0.
What is x = {-5/3, 5/3}?
100
Simplify (6√5 + 2)(4√2 + √3).
What is 24√10 + 8√2 + 6√15 + 2√3?
100
Simplify (a^2 - 7a + 12)/(a^2 - 13a + 36).
What is (a-3)/(a-9)?
200
The solutions to this system of equations. x + y = 4, -2x + 3y = 7
What is x = 1 and y = 3 (1,3)?
200
The polynomial 3x^5 - 2 + 6x - 2x^2 + x^3 in standard form.
What is 3x^5 + x^3 - 2x^2 + 6x -2 ?
200
The solution to the equation 4c^2 + 4c + 1 = 9.
What is c = {-2, 1}?
200
Simplify 5/(√7 + 6).
What is (5√7 - 30)/-29?
200
Find the quotient (4x^2 + 17x - 1) / (4x + 1).
What is x + 4 - 5/(4x+1)?
300
The number of pies and cookies sold at a bake sale if 40 items were sold for $356 and pies cost $10 while cookies cost $8.
What are 22 cookies and 18 pies?
300
The perimeter of a rectangular picture frame with dimensions 5x + 3 and 2x^2 - 3x + 1.
What is 4x^2 + 4x + 8 units?
300
The solution to the equation 16d^2 + 40d + 25 = 9.
What is d = -5/4?
300
The solution to the equation √(7x + 4) -18 = 5.
What is x = 75?
300
The difference 3/(y + 1) - y/(y -3)?
What is (-y^2 + 2y + 9)/(y + 1)(y + 3)?
400
The solutions to this system of equations. 3x + 4y = 26, 2x + 3y = 19
What is x = 2 and y = 5 (2, 5)?
400
The product (3a - 2)(6a + 5).
What is 18a^2 + 3a - 10?
400
Compare the graph of the function 4x^2 - 18 to the parent function.
What is stretched vertically(dilated) and translated 18 units downward?
400
The distance and midpoint between the points (-3,5) and (-5, -3) to the nearest tenth.
What is Distance = 8.2 Midpoint = (-4,1)?
400
Simplify ( [x^2 -25] / [x+2] ) / ( [x-5] / [x^2 -4] ).
What is (x+5)(x-2) OR x^2 + 3x - 10?
500
The solutions to this system of equations. x - 3y = 24, 5x - 2y = 29
What is x = 3, y = -7 (3, -7)?
500
The square of 2r + 5t OR(2r + 5t)^2.
What is 4r^2 + 20rt + 25t^2?
500
The side length of a square whose area can be quadrupled by increasing all sides by 4 inches.
What is 4 inches?
500
Determine whether a triangle with side lengths 13, 84, and 85 is a right triangle.
What is yes?
500
The solution and extraneous solutions to the equation 3/(x^2 + 3x) + (x + 2)/(x + 3) = 1/x.
What is x = -1, extraneous solution = 0?