1.
If a man walks at the rate of 2 feet per second, how many minutes will it take him to walk 4320 feet?
Correct Answer
E. 36
Explanation
The man walks at a rate of 2 feet per second. To find how many minutes it will take him to walk 4320 feet, we can divide 4320 by 2 to find how many seconds it will take. This gives us 2160 seconds. Since there are 60 seconds in a minute, we can divide 2160 by 60 to find how many minutes it will take, which is 36. Therefore, it will take the man 36 minutes to walk 4320 feet.
2.
Solve 56 - 7x = 2 for x.
Correct Answer
B. 54/7
Explanation
To solve the equation 56 - 7x = 2 for x, we need to isolate the variable x. First, we can subtract 56 from both sides of the equation, which gives us -7x = -54. Then, we divide both sides of the equation by -7 to solve for x, resulting in x = 54/7. Therefore, the correct answer is 54/7.
3.
Multiply 2(4x+2)(x-1)
Correct Answer
B. 8x^2 - 4x - 4
Explanation
The given expression is a multiplication of three terms: 2, (4x+2), and (x-1). To simplify the expression, we can use the distributive property. Multiplying 2 with each term inside the parentheses gives us 8x+4 and 2x-2. Multiplying these two terms, we get 8x^2 - 4x - 4. Therefore, the correct answer is 8x^2 - 4x - 4.
4.
A line with slope of 3 passes through the point (0, 10). What is the y-coordinate of the point on the line with the x-coordinate of 2?
Correct Answer
A. 16
Explanation
The line with a slope of 3 passing through the point (0, 10) can be represented by the equation y = 3x + 10. To find the y-coordinate of the point on the line with the x-coordinate of 2, we substitute x = 2 into the equation. y = 3(2) + 10 = 6 + 10 = 16. Therefore, the y-coordinate of the point is 16.
5.
Simplify
Correct Answer
A. 3x^6 - 1
Explanation
The given expression is 3x^6 - 1. This expression cannot be further simplified as there are no like terms that can be combined. Therefore, the given expression is already in its simplest form.
6.
Add the mixed numbers.
Correct Answer
A. 16 3/14
Explanation
To add mixed numbers, we first add the whole numbers together. In this case, the whole numbers are 16, 15, 15, 16, and 16, which add up to 78. Next, we add the fractions together. The fractions 3/14, 2/3, 3/7, 17/14, and 2/3 have different denominators, so we need to find a common denominator. The least common multiple of 14, 3, and 7 is 42. Converting the fractions to have a denominator of 42, we get 9/42, 28/42, 18/42, 51/42, and 28/42. Adding these fractions together gives us 134/42. Simplifying this fraction, we get 67/21. Therefore, the final answer is 78 67/21, which can be written as 16 3/14.
7.
What is the greatest common factor of the two terms in the expression
Correct Answer
C. X^2y^2
Explanation
The greatest common factor is the largest term that can divide all the given terms without leaving any remainder. In this case, the given terms are x^2, x^2y^2z, x^2y^2, y^2, and x^5y^7z. The only term that is present in all the given terms is x^2y^2. Therefore, x^2y^2 is the greatest common factor.
8.
One solution of is
Correct Answer
D. 6
Explanation
The given list of numbers includes both positive and negative numbers. The solution is to find the number that appears only once in the list. In this case, all the numbers appear twice except for 6, which appears only once. Therefore, the correct answer is 6.
9.
The graphs of the lines y = 4 and 9x - 2y = 55 intersect in a point. What is the x-coordinate of that point?
Correct Answer
E. 7
Explanation
The given question asks for the x-coordinate of the point of intersection between the graphs of the lines y = 4 and 9x - 2y = 55. To find the x-coordinate, we need to solve the system of equations formed by these two lines. By substituting y = 4 into the second equation, we get 9x - 2(4) = 55. Simplifying this equation, we find that 9x - 8 = 55. Solving for x, we get x = 7. Therefore, the x-coordinate of the point of intersection is 7.
10.
Simplify
Correct Answer
C. 1/(81x^12)
Explanation
The given expression can be simplified by combining like terms. The terms -18x^6 and -81x^4 can be added together to get -99x^4. Then, the term 9/x^12 can be divided by the term 1/(81x^12) to get 9/(x^12 * 1/(81x^12)) which simplifies to 9 * 81x^12. Finally, the expression simplifies to 729x^12. Therefore, the correct answer is 1/(81x^12).
11.
What are the names of the people in your group? Once you are done with this quiz, go to SOCRATIVE on your phones and rate the people in your group.