Test practice 5

Question 1

16. The length of each edge of a box is 29 inches. Each side of the box is in the shape of a square. The box does not have a lid. What is the exterior surface area, in square inches, of this box without a lid?

Answer 1

S^2
29^2 = 841
841 * 5 (faces) = 4205

Question 2

19. Which expression is equivalent to 42a / k + 42ak?

Answer 2

42a/k + 42ak^2/k
(42a + 42ak^2) / k
42a(k^2 + 1) / k

Question 3

(x + 4)^2 + (y - 19)^2 = 121
The graph of the given equation is a circle in the xy-plane. The point (a,b) lies on the circle. Which of the following is a possible value for a?

A. -16
B. -14
C. 11
D. 19

Answer 3

Center = -4, 19
Radius = 11

The least possible value: -4 - 11 = -15
The greatest possible value = -4 + 11 = 7

The number must be greater than -15 and less than 7 = -14

Question 4

11. How many solutions does the equation 12(x - 3) = -3(x + 12) have?

Answer 4

12x - 36 = -3x - 36
15x = -36 + 36
x = 0 / 15 –> x = 0
The equation has one solution

Question 5

12. Kaylani used fabric measuring 5 yards in length to make each suit for a men’s choir. The relationship between the number of suits that Kaylani made, x, and the total length of fabric that she purchased y,

Question 6

19. The result of increasing the quantity x by 400% is 60. What is the value of x?

Answer 6

x + (400 / 100)x = 60
x = 12