Review
Distribution
Factoring
Area/Perimeter
Word Problems
100
Solve the following equation for x. 5x - 6 = 3x - 8
What is x = -1
100
Distribute x(3x)
What is 3x^2
100
Find a GCF and factor. 5x-45
What is 5(x-7)
100
Find the perimeter of a square with side length 5x.
What is 20x
100
Write a variable expression for the area of a square whose side is x + 8.
What is x^2+16x+64.
200
Solve the following inequality for x. 5x - 17 < 33
What is y < 8
200
Distribute 3x^2*(x-2)
What is 3x^3-6x^2
200
Factor out a GCF 10*x^3*y^2-5*x^2*y
What is 5x^2*y(2xy-1)
200
Find the area of a square with side length 5x.
What is 25x^2
200
The area of a certain rectangle is 7x^2-31x+12 and the width is (x-4) what is the length?
What is (7x-3)
300
Solve the following inequality for y. 22 < -2y -8
What is y < -15
300
Distribute (x-2)(x^3-x)
What is x^4-2x^3-x^2+2x
300
Factor 4x^2-36
What is (2x-6)(2x+6)
300
What is the area of a rectangle with side length x+2 and width 3x-5.
What is 3x^2+x-10
300
The side of a cube is represented by x + 1. Find, in terms of x, the volume of the cube.
What is x³+3x²+3x+1
400
Simplify (2*x^2*y)^3 Sorry superscript was not working.
What is 8*x^6*y^3
400
Distribute (x-2)(x^2-3x-10)
What is x^3-5x^2-4x+20
400
Factor 2x^2-7x+5
What is (x-1)(2x-5)
400
What is the area of a triangle with base of 2x-4 and a height of 8x+2
What is 8x^2-14x-4
400
Let an integer be represented by x. Find, in terms of x, the product of three consecutive integers starting with x.
What is x(x+1)(x+2)=x^3+3x^2+2x
500
Simplify the following. I will rewrite if you need it. (a^2*b^4*c)^-2*(a*b^2*c^2)
What is 1/(a^3*b^6).
500
Distribute (4x^2+2x+1)(x^2-3x+2)
What is 4x^4-10x^3+3x^2+x+2
500
Factor by grouping 10x^3+5x^2-6x-3
What is (2x+1)(5x^2-3)
500
What is the perimeter of a hexagon with side lengths of 3x^2-5x+13
What is 18x^2-30x+78
500
The Johnson's want to cover their backyard with new grass. Their backyard is rectangular, with a length of 3x-5 feet and a width of 4x-10 feet. However, their rectangular swimming pool, along with its surrounding patio, has dimensions of x+8 by x-2 feet. What is the area of the region of the yard that they want to cover with grass.
What is 11x^2-56x+66
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