Laws of Exponents
Adding & Subtracting Polynomials
Distributive Property
Multiplying Polynomials
Miscellaneous
100
Rewrite the expression as a single base raised to an exponent:
x^7 * x^3
x10
100
Simplify the expression.
(-9x2 − 5x + 10) + (12x − x2 − 3)
-10x2 + 7x + 7
100
Simplify the expression.
3w(24w + 12)
72w2 + 36w
100
Find the product.
(x − 7)(x + 2).
x2 − 5x − 14
100
The expression (x14)(x-5)4 is equivalent to
What is the value of n?
6
200
Rewrite the expression as a single base raised to an exponent:
4^9/4^3
46
200
Simplify the expression.
(13x^2y-2x+1)+(9x^2y-7)
22x^2y-2x-6
200
Simplify the expression.
-9w(8w − 4)
-72w2 + 36w
200
Find the product.
(2x − 3)(3x − 6)
6x2 − 21x + 18
200
Write an expression to represent the area of the rectangle with the dimensions shown.
128a6b13
300
Rewrite the expression as a single base raised to an exponent:
(n3)2(n5)
n11
300
Simplify the expression.
(3x+2)-(11x-6)
-8x+8
300
Simplify the expression.
4w(-18w − 9)
-72w2 − 36w
300
Simplify an expression for the area of the square.
x2 + 18x + 81
300
Find the product.
(p + q)(p − q)
p2 – q2
400
Rewrite the expression as a single base raised to an exponent.
((10^2)^4 * 10^3)/10^8
103
400
Simplify the expression.
(x^2-x+4)-(x^2+x-2)
-2x+6
400
Simplify the expression.
-3x(2x^2+4)
-6x^3-12x
400
Find the product.
(m + 8)(4m2 − 5m + 1)
4m3 + 27m2 − 39m + 8
400
Who is your favorite Algebra teacher?
500
Simplify the expression.
(8m^6n^2)/(4m^-3) * (12(mn)^3)/n^2
24m12n3
500
Simplify the expression.
8x2 + (2x − 3x2) − (9x + 5)
5x2 − 7x − 5
500
Simplify the expression.
6g^2-2/5(65g-15)-3g^2
3g2 − 26g + 6
500
Camden multiplied two binomials and got the product of 49x2 − 100. Find the two binomials that Camden must have multiplied.
(7x − 10)(7x + 10)
500
Find the product.
(p − q)2
p2 – 2pq + q2
1000
Simplify the expression.
(y^-4)(100y^8z^10)^(1/2)
10z5
1000
The area of the square is 6x2 + 3x − 5 and the area of the circle is 5x2 + 4x − 7. Write an expression to represent the area of the gray region.
x2 − x + 2
1000
Write an expression to represent the area of the rectangle.
24h2 − 8h
1000
Write an expression for the area of the triangle.
12x2 – 6x – 6
1000
Find the area of each figure in the terms of x. Then, write a simplified polynomial describing the total area of the rectangles and squares combined.
5x^2+24x