Kyote 2

Question 1

1. 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

Answer 1

4 x = −17

Question 2

2. Simplify. (−2 x^4)^3 (−2x^2)

Answer 2

−32 x^16

Question 3

3. If f (x) =√7 − x, then which of the following sets is the domain of this function?

Answer 3

x ≤ 7

Question 4

4. One of the factors of 3x^2 + 8 x − 35 is

Answer 4

3 x − 7

Question 5

5. One solution of 3 x^2 + 7x − 6 = 0 is

Answer 5

2/3

Question 6

6. Solve 1 /(x − 1) − (2/7) = 3 for x

Answer 6

30/23

Question 7

7. Expand and simplify. (3 x − 6 y)^2

Answer 7

9 x^2 − 36 x y + 36 y^2

Question 8

8. The line parallel to 2 x + y = 5 and passing through (5, 4) has equation

Answer 8

y = −2 x + 14

Question 9

9. Simplify. x

2 − x − 30) / (x^2 − 12x + 36

Answer 9

(x + 5) / (x − 6)

Question 10

10. 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?

Answer 10

7√7

Question 11

Simplify. (−3x^−5)^2 (2x^3)^−2

Answer 11

9 / 4x^16

Question 12

12. Which of the following is an equation of the line whose graph is shown below? (0,-2) (5,0)

Answer 12

y = −2 + (2/5x)

Question 13

13. If x and y satisfy both 9 x + 2 y = 8 and 7 x + 2 y = 4, then y =?.

Answer 13

-5

Question 14

14. Solve −7 x < x + 7 and express the solution in interval notation.

Answer 14

(−7/8,∞)

Question 15

15. 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?

Answer 15

√77

Question 16

16. Solve R = -(4/ 7T) + (−36/7)

for T.

Answer 16

7/4R + 9

Question 17

17. Simplify. (8x/x^2 + 9 x + 20) + (6 / x + 4)

Answer 17

(14 x + 30x) / (2 + 9 x + 20)

Question 18

18. If x and y are positive numbers, then

√24x^10 y−6

Answer 18

(2 x^5√6) / (y^3)

Question 19

19. If f (x) = 2 x + 9, and f(a) = 7, then a = ?

Answer 19

-1

Question 20

20. Find 12(x)^2/3 when x = −8.

Answer 20

48

Question 21

21. 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?

Answer 21

83

Question 22

22. Find (x − (1 − 4 x)) / x when x = −5

Answer 22

26/5

Question 23

23. 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?

Answer 23

(175 − 72 π) / (12 π)

Question 24

24. 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?

Answer 24

42 x + 21 = 62 x

Question 25

25. Subtract x^3 − 5 x^2 + 1 from x^2 − x − 4.

Answer 25

− x^3 + 6 x^2 − x − 5