1.
Sara and Kim together have 15 pencils. Sara has 9 pencils. Mark and Kim together have 10 pencils. How many pencils does Mark have?
Correct Answer
D. 4
Explanation
Sara and Kim have a total of 15 pencils, and Sara has 9 pencils. This means that Kim must have 15 - 9 = 6 pencils. Mark and Kim together have 10 pencils, so Mark must have 10 - 6 = 4 pencils.
2.
Steve has x dollars in his bank account. He deposits $10 each week for 3 weeks. His bank balance now is $70. What is x? ( How much money did he have to start?)
Correct Answer
C. $40
Explanation
Since Steve deposits $10 each week for 3 weeks, the total amount he deposits is $10 * 3 = $30. If his bank balance now is $70, then the initial amount he had in his bank account is $70 - $30 = $40. Therefore, x, which represents the initial amount of money Steve had, is $40.
3.
It is 19 degrees in Alaska at 9PM. The temperature drops 23 degrees overnight but then rises 9 degrees by 9AM the following day. What is the temperature at 9AM?
Correct Answer
A. 5 degrees
Explanation
The initial temperature at 9PM is 19 degrees. Overnight, the temperature drops 23 degrees, so it becomes -4 degrees. However, by 9AM the following day, the temperature rises 9 degrees, bringing it back up to 5 degrees.
4.
Lisa is in a submarine 87 feet below sea level. Barb is hiking up a hill and is 125 feet above sea level. Greg snorkeling 5 feet under water. List their elevations in order least to greatest.
Correct Answer
C. - 87 , -5 , 125
Explanation
Lisa is in a submarine 87 feet below sea level, so her elevation is -87. Greg is snorkeling 5 feet under water, so his elevation is -5. Barb is hiking up a hill and is 125 feet above sea level, so her elevation is 125. Therefore, the elevations in order from least to greatest are -87, -5, 125.
5.
Find the value of n in the equation below.
2n + 10 = 20 n = _____
Correct Answer
B. 5
Explanation
The equation is 2n + 10 = 20. To find the value of n, we need to isolate n on one side of the equation. We can do this by subtracting 10 from both sides of the equation. This gives us 2n = 10. To solve for n, we divide both sides of the equation by 2. This gives us n = 5. Therefore, the value of n in the equation is 5.
6.
Find the value of n in the equation below.
15 + n + 20 = 45 n = _______
Correct Answer
A. 10
Explanation
In the given equation, 15 + n + 20 = 45, we need to find the value of n. To solve for n, we can start by simplifying the equation. Combining like terms, we have 35 + n = 45. Next, we can isolate the variable by subtracting 35 from both sides of the equation, giving us n = 10. Therefore, the value of n is 10.
7.
Find the value of n in the equation below.
12 x 23 x 9 x n x 56 = 0 n = _____
Correct Answer
C. 0
Explanation
The equation is a multiplication equation where the product of all the numbers is equal to 0. In order for the product to be 0, at least one of the numbers must be 0. Therefore, the value of n that makes the equation true is 0.
8.
Find the value of n in each equation below.
3n + 5 = 14 n= ____________
Correct Answer
B. 3
Explanation
The equation is 3n + 5 = 14. To solve for n, we need to isolate the variable on one side of the equation. Subtracting 5 from both sides, we get 3n = 9. Dividing both sides by 3, we find that n = 3.
9.
Find the next two numbers in the pattern:
-8
-6 -4
-2 ___ ___
Correct Answer
C. 0 , 2
Explanation
The pattern in the given sequence is that each number is increasing by 2. Starting from -8, the next number is -6, then -4, and so on. Therefore, the next two numbers in the pattern would be 0 and 2, as they follow the same pattern of increasing by 2.
10.
Find the next two numbers in this pattern:
-15 -14
-12 -11 -9 ____ _____
Correct Answer
B. -8 , -6
Explanation
The pattern in the given sequence is that each number is increasing by 1 and then decreasing by 2. Therefore, the next two numbers in the pattern would be -8 and -6.
11.
Find the next two numbers in this pattern:
25 20
21 16
17 ____ ____
Correct Answer
A. 12 , 13
12.
Find the next two numbers in this pattern:
100 85 70 55
_____ _____
Correct Answer
D. 40 , 25
Explanation
The pattern in the given sequence is that each number is decreasing by 15. Starting from 100, each subsequent number is obtained by subtracting 15 from the previous number. Therefore, the next two numbers in the pattern would be 40 and 25, obtained by subtracting 15 from 55 and 40 respectively.
13.
Find the next two numbers in this pattern:-20 -15 -10
-5 ___ ___
Correct Answer
B. 0 , 5
Explanation
The pattern in the given sequence is that each number is increasing by 5. Therefore, the next two numbers in the pattern would be 0 and 5, as they follow the same increasing pattern.
14.
Brett got on an elevator and rode up 10 floors. Next he rode down 7 floors. After that he went up 4 floors. Finally he went down 6 floors. When he got off the elevator he was on the 11th floor. What floor was he on when he started his ride?
Correct Answer
C. 10th floor
Explanation
If Brett started on the 10th floor and went up 10 floors, he would be on the 20th floor. Then, if he went down 7 floors, he would be on the 13th floor. If he went up 4 floors from there, he would be on the 17th floor. Finally, if he went down 6 floors, he would be on the 11th floor. Therefore, Brett must have started on the 10th floor.
15.
A good way to check and see if you have correctly found the value of an unknown number in an expression is to plug your answer into the expression and see if it is true.
Correct Answer
A. True
Explanation
One way to verify if you have correctly determined the value of an unknown number in an expression is by substituting your answer into the expression and checking if it holds true. This method allows you to confirm the accuracy of your solution and ensure that the value you have found satisfies the given expression.