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Equitable Equations with Equal and Inequal Signs
100
Simplify.
10x^13y^8
100
Factor.
(x-8)(x-5)
100
Simplify each rational expression. Determine which values are NOT in the domain.
\frac{-2(x-2)}{(x+5)(x-2)}
\frac{-2}{x+5}
-5 is not in the domain
100
Rewrite the inequality in interval notation.
-23<x\leq 2
(-23,2]
100
Simplify.
(23-19i)+(-6-i)
17-20i
100
Solve.
x=2
200
Simplify.
\frac{y^3}{216x^9}
200
Factor.
9x^2(x^2-2x+3)
200
Simplify the rational expression. Determine the values of x which are NOT in the domain.
\frac{x+7}{x-7}
x\ne -7, 7
200
Rewrite the set builder notation into interval notation.
{x|x> -2 or x\leq-9}
(-\infty,-9]\cup(-2,\infty)
200
Simplify.
(-8+13i)-(6-4i)
-14+17i
200
Solve.
x=-8/5, x=8/5
300
Simplify.
7x
300
Factor.
(5a-14)(a+2)
300
Simplify the rational expression. Determine the values which are NOT in the domain.
\frac{1}{2}
x\ne -4, 5
300
You invested $22,000 in two accounts paying 7% and 9% annual interest, respectively. If the total interest earned for the year was $1960, how much was invested at each rate?
$1000 at 7% and $21,000 at 9%
300
Simplify.
i^{63}
-i
300
Solve.
x=-4,-1,1,4
400
Simplify.
4\sqrt{2x}
400
Factor.
(2y+1)(2y+11)
400
Simplify the rational expression. Determine the values which are NOT in the domain.
\frac{2}{25}
x\ne -1
400
A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 192 yards, what are the dimensions?
The dimensions of the field are 32 yards by 64 yards.
400
Simplify.
-20+48i
400
Solve.
-4\leq x<-2
500
Simplify.
\frac{22-11\sqrt{19}}{-15}
500
Factor completely over the complex numbers.
(x-2)(x+3i)(x-3i)
500
Simplify each rational expression. Determine the values which are NOT in the domain.
\frac{9x-17}{(x-3)(x+2)}
x\ne -2, 3
500
A rectangular painting measures 13 inches by 18 inches and contains a frame of uniform thickness. The perimeter of the rectangle formed by the painting and its frame is 86 inches. Determine the width of the frame.
The width of the frame is 3 inches.
500
Simplify.
\frac{9+2i}{15}
500
Solve.
x<2 or x>5