Kyote 2 Flashcards
1
Q
- Which of the following equations has the same solution as 5 x + 8 = x − 9
A) 4 x = −1 B) 4 x = 17 C) 6 x = −17 D) 6 x = 17 E) 4 x = −17
A
4 x = −17
2
Q
- Simplify. (−2 x^4)^3 (−2x^2)
A
−32 x^16
3
Q
- If f (x) =√7 − x, then which of the following sets is the domain of this function?
A
x ≤ 7
4
Q
- One of the factors of 3x^2 + 8 x − 35 is
A
3 x − 7
5
Q
- One solution of 3 x^2 + 7x − 6 = 0 is
A
2/3
6
Q
- Solve 1 /(x − 1) − (2/7) = 3 for x
A
30/23
7
Q
- Expand and simplify. (3 x − 6 y)^2
A
9 x^2 − 36 x y + 36 y^2
8
Q
- The line parallel to 2 x + y = 5 and passing through (5, 4) has equation
A
y = −2 x + 14
9
Q
- Simplify. x
2 − x − 30) / (x^2 − 12x + 36
A
(x + 5) / (x − 6)
10
Q
- The vertices of a triangle consist of the three points where the parabola y = 7 − x
2
intersects the
coordinate axes as shown. What is the area of this triangle?
A
7√7
11
Q
Simplify. (−3x^−5)^2 (2x^3)^−2
A
9 / 4x^16
12
Q
- Which of the following is an equation of the line whose graph is shown below? (0,-2) (5,0)
A
y = −2 + (2/5x)
13
Q
- If x and y satisfy both 9 x + 2 y = 8 and 7 x + 2 y = 4, then y =?.
A
-5
14
Q
- Solve −7 x < x + 7 and express the solution in interval notation.
A
(−7/8,∞)
15
Q
- 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?
A
√77
16
Q
- Solve R = -(4/ 7T) + (−36/7)
for T.
A
7/4R + 9
17
Q
- Simplify. (8x/x^2 + 9 x + 20) + (6 / x + 4)
A
(14 x + 30x) / (2 + 9 x + 20)
18
Q
- If x and y are positive numbers, then
√24x^10 y−6
A
(2 x^5√6) / (y^3)
19
Q
- If f (x) = 2 x + 9, and f(a) = 7, then a = ?
A
-1
20
Q
- Find 12(x)^2/3 when x = −8.
A
48
21
Q
- 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?
A
83
22
Q
- Find (x − (1 − 4 x)) / x when x = −5
A
26/5
23
Q
- The surface area S of a cylinder is S = 2 π r^2 + 2 π r h 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?
A
(175 − 72 π) / (12 π)
24
Q
- 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 which of
the following equations can be used to solve for x?
A
42 x + 21 = 62 x
25
Q
- Subtract x^3 − 5 x^2 + 1 from x^2 − x − 4.
A
− x^3 + 6 x^2 − x − 5
