Math-test 8

What is the solution set of:

x ≤ -7 or x ≥ 13

Solve the following inequality: -3(x-2) ≤ 2x + 4

x ≥ 2/5

A circle of radius 4 has a center at (2, -1). Which of the following represents the equation of the circle?

x2 + y2 - 4x + 2y - 11 = 0

Donna put $1000 into a savings account that earns 5% annually compounded monthly. How much money will Donna have in her account after 4 years?

1000(1/0.05/12)^48

A cat starts chasing a mouse 40 feet away. The mouse immediately runs 100 feet to the nearest hole at a speed of 10 ft/sec. If the cat reaches the hole 2 seconds after the mouse does, what is the speed of the cat in feet per second?

11.67

A basketball player makes 12 out of 36 shots. How many consecutive successful shots does the player need to make to increase his percentage to 50%?

12

A recipe for a special drink uses 2 imperial pints of orange juice. How many special drinks can be made from 3 gallons of orange juice? (1 gallon = 8 imperial pints)

12

A bottle was half full of orange juice. 5 ounces of orange juice was then added to the bottle, filling it to 90% capacity. What is the total capacity of the bottle in ounces?

12.5

Kevin drives three times farther in 36 minutes than what Lucy drives in 30 minutes. If Kevin drives at a speed of 40 mph, then at what speed in miles per hour is Lucy driving?

16

If x = 3(2y - x), then what is y in terms of x?

2/3x

A 400-liter tank in the form of a cylinder has 2 spigots at the bottom that drain the tank at the rates of 12 liters per minute and 8 liters per minute, respectively. The tank has a pump at the top that fills it at a rate of 40 liters per minute. If the tank is initially empty and the spigots are open, how long would it take to fill the tank?

20. minn

Solve for x in the following equation: x√x = 125

25

Deanna working alone can bake 280 cupcakes per hour, while Magda can bake 220 cupcakes per hour. Working together, how long would it take them to bake 2500 cupcakes?

5 hrs

A box contains a number of black and white marbles. The ratio of black marbles to white marbles is 4 to 5, respectively. When 10 black marbles and 10 white marbles are removed, the ratio becomes 3 to 4. How many white marbles were originally in the box? A. 15 [4%]

50

What is the standard deviation of the set {5, 6, 9, 12}?

7.5

Which of the following fractions is the smallest?

7/11

In a basket of 10 eggs, 3 are rotten. If Dave selects 2 eggs at random without replacement, what is the probability that both eggs are good?

7/15

Given that: a = 3/7, b = 1/2, and c = 1/4, what is the value of the following fraction? 2ab-abc/3ac

7/6

In how many ways can 6 people be arranged in 6 chairs? A. 60 [1%] B. 120 [4%] C. 300 [1%] D. 360 [7%] E. 720 [87%]

720

If 2(x - 3) = 3(y - 2), what is the value of 4x/y?

8

Solve for x in the following equation:

1/2

Which of the following points represents the intersection of the two lines given by the following equations? y = 3x + 6 and y = -2x -4

(-2, 0)

A student believes the odds in favor of him getting admitted to his dream school are 3 to 2. What is the probability that the student will get into his dream school?

0.6

Donna takes 2 hours to paint a room, and her brother takes 3 hours to paint the same room. If Donna and her brother work together, how long would it take them to paint the room?

1 hr 12 minutes

John can mow an acre of a lawn in 4 hours. Working at the same rate, how long will it take John to mow 3/4 of an acre of the lawn?

3

it took Max 3 hours 15 minutes and 20 seconds to complete a certain task. It took Alex 2 hours 40 minutes and 45 seconds to finish the same task. How much longer did it take Max to finish the task?

34 minutes and 35 seconds

A right triangle ABC shares side AB with a square ABDE as shown in the figure below. If the area of the triangle is 12, and BC is of length 4, what is the area of the square?

36

The graph of function f is shown below. For how many values of x does f(x) = -2?

4

A circle is inscribed inside a rectangle as shown below. What are the dimensions of the rectangle? 1) The circumference of the circle is three-quarters the perimeter of the rectangle. 2) The radius of the circle is 5 cm.

Both statements 1) and 2) together are sufficient to answer the question but neither statement is sufficient alone.

Which of the following is true for the graph of y = b?

It has a range of b

x ≠ 0 Quantity A x3. Quantity B -x3

cannot be determined

If a = log(2) and b = log(6), what is a + a - b?

log(2/3)

What is the slope (m) and the y-intercept (b) of the line: y + 3x - 4 = 0?

m=-3, b=4

If the sum of the interior angles of a polygon is twice the sum of its exterior angles, how many sides does the polygon have?

n=6