Standards 1-3
Find 12(x)2/3 when x = −8.
48
Simplify. (x2-x-30)/(x2-12x+36)
(x+5)/(x-6)
Which of the following equations has the same solution as 5x + 8 = x − 9?
4x=-1
4x=17
6x=-17
6x=17
4x=-17
4x=-17
A rectangular field is enclosed by 320 feet of fencing. If the length of the field is 6 feet more than its width, what is its length, in feet?
83 ft
The line parallel to 2x + y = 5 and passing through (5, 4) has equation
y = -2x + 14
Subtract x3 − 5x2 + 1 from x2 − x − 4.
−x3 + 6x2 − x − 5
One of the factors of 3x2 + 8x − 35 is
(x+5) or (3x-7)
Solve −7x < x + 7 and express the solution in interval notation.
(-7/8, inf)
If x and y satisfy both 9x + 2y = 8 and 7x + 2y = 4, then y =?
y = -5
Write an equation of the line with points (0,-2) and (5,0).
y = 2/5x -2
Find (x − (1 − 4x))/x when x = −5.
26/5
Simplify. (−3x-5)2(2x3) -2
9/(4x16)
Solve R= 4/7T - 36/7 for T
7/4R + 9
If the hypotenuse of a right triangle has length 9 feet and one of the other sides has length 2 feet, what is the length of the remaining side, in feet?
If f(x) = 2x + 9, and f(a) = 7, then a =?
-1
Expand and simplify. (3x − 6y) 2
9x2 − 36xy + 36y2
Simplify. (8x)/(x2+9x+20) + 6/(x+4)
(14x+30)/(x2+9x+20)
One solution of 3x2 + 7x − 6 = 0 is
2/3 or -3
Solve 1/(x-1) - (2/7)
30/23
If f(x) =sqrt(7 − x), then what is the domain of this function?
x is less than or equal to 7
Simplify. (−2x)3(−2x2)2
-32x16
If x and y are positive numbers, simplify sqrt(24x10y-6)
(2x8 sqrt(6))/(y4)
The surface area S of a cylinder is S = 2(pi)r2 + 2(pi)rh where r is the base radius and h is the height. What is h, in inches, when S is 175 square inches and r is 6 inches?
(175-72pi)/(12pi)
A truck leaves an intersection going 42 miles per hour. Half an hour later, a car going 62 miles per hour follows the truck. If x is the time, in hours, required for the car to catch the truck, then write an equation that can be used to solve for x.
42x + 21 = 62x
The vertices of a triangle consist of the three points where the parabola y = 7 − x2 intersects the coordinate axes as shown. What is the area of this triangle?
7sqrt(7)