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Multiply Using Area Model or FOIL
Combine Like Terms
Factor (Un-Multiply)
Factor AND Solve
Wild Card
100
Multiply (3x-4)(5x-7)
What is 15x^2 - 41x + 28
100
Simply 10x^2 - 7 + 3x + 10x^2 + 4x - 5
What is 20x^2 +7x - 12
100
Factor x^2 + 11x - 42
What is (x+14)(x-3)
100
Solve x^2 - 17x + 72 = 0
What is 8 & 9
100
A rectangular skateboard park has an area of x^2+15x+54. What are the dimensions of the park?
What is (x+9)(x+6)
200
Multiply (7x-1)(x-8)
What is 7x^2 - 57x +8
200
Simplify 2x + 7(x - 2) - 3(x + 5)+6x - 29
What is 12x - 58
200
Factor x^2 +30x + 200
What is (x+20)(x+10)
200
Solve x^2 +4x - 117 = 0
What is -13 & 9
200
Solve -262 = -6(7x - 4) + 8
What is 7
300
Multiply (8x+8)(7x-3)
What is 56x^2 +32x - 24
300
Simplify 4(x + 3) - 2(x - 8) + 6x - 18x + 27
What is -10x + 55
300
Factor x^2 +21x + 68
What is (x+17)(x+4)
300
Solve x^2 -5x - 70 = 14
What is -7 & 12
300
The length of a rectangle is three times as long as it is wide. The area of this rectangle is 192 square feet. What are the dimensions of this rectangle?
What is 8 feet by 24 feet
400
Multiply (x^2 - 4x - 4)(x-5)
What is x^3 - 9x^2 + 16x +20
400
Simplify (-11x^2 + 4 - 10x^4) - (5x^4 - 9 + 2x^2)
What is -15x^4 - 13x^2 + 13
400
Factor x^2 - 10x - 119
What is (x-17)(x+7)
400
Solve x^2 - 18x + 71 = -6
What is 11 & 7
400
A rectangular piece of cardboard is 18 inches by 28 inches. A 3 inch square is cut from each corner, then folded upwards to make an open box. Find the volume of the shape.
What is 792 cubic inches
500
Multiply (4x^2 + x + 4)(2x^2 - 5x - 1)
What is 8x^4 - 18x^3 - x^2 - 21x - 4
500
Simplify (13x + 3x^2 - x^4) - (28x^2 - 14x^4 +8)
What is 13x^4 - 25x^2 +13x - 8
500
Factor x^2 - 27x +176
What is (x-16)(x-11)
500
Solve -11x^2 + 23x - 16 = 12x - 4 - 12x^2
What is -12 & 1
500
A rectangular garden is placed in the middle of a rectangular backyard. The garden is 4 feet longer than 4 times its width. A path of uniform width surrounds the garden. The total area of the backyard is 330 square feet. If the garden is 5 feet wide, how wide is the surrounding pathway?
What is 3 feet