1.
What is 7 - (-3)?
Correct Answer
B. 10
Explanation
The expression 7 - (-3) can be simplified by applying the rule of subtracting a negative number, which is equivalent to adding the positive number. Therefore, 7 - (-3) becomes 7 + 3, which equals 10.
2.
If f(x) = 3x - 7, what is f(-4)?
Correct Answer
B. -19
Explanation
To find the value of f(-4), we substitute -4 into the function f(x) = 3x - 7. So, f(-4) = 3(-4) - 7 = -12 - 7 = -19. Therefore, the correct answer is -19.
3.
If f(x) = 3x - 7, what is f(0)?
Correct Answer
C. -7
Explanation
The function f(x) is defined as 3x - 7. To find f(0), we substitute 0 for x in the function. Therefore, f(0) = 3(0) - 7 = -7.
4.
What is the volume of a box that is 5 x 5 x 7 (Feet)?
Correct Answer
B. 175 Cubic Feet
Explanation
The volume of a box is calculated by multiplying its length, width, and height. In this case, the box has dimensions of 5 x 5 x 7 feet. By multiplying these values together (5 x 5 x 7), we get a volume of 175 cubic feet.
5.
In the term 6x, what is the coefficient?
Correct Answer
D. 6
Explanation
The coefficient in the term 6x is 6. In this expression, the coefficient is the numerical value that is multiplied by the variable x. Since there is no explicit coefficient written before the variable x, it is assumed to be 1. Therefore, the coefficient in this case is the number 6.
6.
If you start at (1, 1) on a coordinate system and move 5 up and then 6 right, where do you end up?
Correct Answer
A. (7, 6)
Explanation
Starting at (1, 1) and moving 5 units up, we end up at (1, 6). Then, moving 6 units right from (1, 6), we end up at (7, 6).
7.
What is the area of a pizza that has a diameter of 9 inches (to 2 decimal places)?
Correct Answer
C. 63.59 Square Inches
Explanation
The area of a circle can be calculated using the formula A = Ï€r^2, where A is the area and r is the radius. In this case, the diameter of the pizza is given as 9 inches, so the radius is half of that, which is 4.5 inches. Plugging this value into the formula, we get A = 3.14 * (4.5)^2 = 3.14 * 20.25 = 63.585 square inches. Rounding this to two decimal places gives us 63.59 square inches, which is the closest option to the calculated area.
8.
If a room is 12' x 13' and the ceilings are 8' tall, what is the area of the walls?
Correct Answer
C. 400 Square Feet
Explanation
The area of the walls can be calculated by finding the perimeter of the room and multiplying it by the height of the walls. The perimeter of the room is equal to twice the sum of the length and width, which in this case is 2(12+13) = 50 feet. Multiplying the perimeter by the height of the walls (8 feet) gives us 50 * 8 = 400 square feet.
9.
What is 4 times -100?
Correct Answer
B. -400
Explanation
When multiplying a positive number by a negative number, the result is always negative. In this case, multiplying 4 by -100 gives us -400.
10.
If a glass holds 250 mL and five 12 cc ice cubes are put in, how much liquid can be added?
Correct Answer
D. 190 mL
Explanation
If a glass holds 250 mL and five 12 cc ice cubes are put in, the total volume occupied by the ice cubes would be 5 * 12 cc = 60 cc. To find out how much liquid can be added, we need to subtract the volume occupied by the ice cubes from the total capacity of the glass. Therefore, the amount of liquid that can be added is 250 mL - 60 cc = 190 mL.
11.
What is 8 - (-36)?
Correct Answer
A. 44
Explanation
The question is asking for the result of subtracting a negative number from a positive number. When subtracting a negative number, it is equivalent to adding the positive value of that number. Therefore, 8 - (-36) is the same as 8 + 36, which equals 44.
12.
What are two consecutive integers whose product is 210?
Correct Answer
D. 14 & 15
Explanation
The product of two consecutive integers is found by multiplying the smaller integer by the larger integer. In this case, the product of 14 and 15 is 210. Therefore, 14 and 15 are two consecutive integers whose product is 210.
13.
If 950 people are polled and 721 like basketball, about what percentage likes basketball?
Correct Answer
D. 76%
Explanation
The correct answer is 76%. To find the percentage of people who like basketball, we divide the number of people who like basketball (721) by the total number of people polled (950) and multiply by 100. This gives us (721/950) * 100 = 76%. Therefore, approximately 76% of the people polled like basketball.
14.
If Ella can type 96 words per minute, how many words can she type in 1/2 hour?
Correct Answer
D. 2880
Explanation
In order to find out how many words Ella can type in 1/2 hour, we need to convert the time to minutes. Since there are 60 minutes in 1 hour, 1/2 hour is equal to 30 minutes. If Ella can type 96 words per minute, then in 30 minutes she can type 96 x 30 = 2880 words. Therefore, the correct answer is 2880.
15.
If we go 25 km in 2 hours, how far can we go in 45 minutes?
Correct Answer
A. 9.375 KM
Explanation
If we go 25 km in 2 hours, it means we are traveling at a speed of 12.5 km/hour. To find out how far we can go in 45 minutes, we need to calculate the distance traveled at this speed in that time. Since 45 minutes is three-fourths of an hour, we can multiply the speed (12.5 km/hour) by three-fourths to get the distance traveled, which is equal to 9.375 km.