1. Which ordered pair is a solution of the equation
y = −11x + 4?
a. (0, -7)
b. (-1, -7)
c. (1, -7)
d. (2, 26)
MY ANSWER: C
Because (X,Y)
so -11x = -11 * 1 = -11
-11 + 4 = -7
2. A plumber charges $65 per hour to fix a leak. What
is an equation that relates the total cost of a leak
repair c to the number of hours, h, it takes the
plumber to fix the leak?
MY ANSWER: c = 65h
In this equation, c represents the total cost. 65 is the price charged per hour to fix a leak. So, if I were to say it took a plumber two hours to fix a leak then my equation would be:
c = 65(2)
c = 130
Thus, the cost is $130.
3. Solve for x:
3(2x − 5) = 4x + 33
6x - 15 = 4x + 33. That will be your equation after distributing 3 through the parenthesis. Then, from there combine like terms. Add 15 to the other side. 6x = 4x + 48. Then, move 4x to the other side by subtracting it from both sides. Now, your equation will be 2x = 48. Solve for x by dividing two on both sides. x = 24.
X = 24
4. Solve for x (literal equations):
c = b – bx
MY ANSWER: c = b - bx
c = b(1-x)
c/b = 1 - x
c/b - 1 = -x
-c/b + 1 = x
This equation is read as: negative c over b plus 1 equals x
Thank You, for these problems. I am in online school and the work is difficult sometimes. But I do have 1 question; are those options for number 4, or are they the work???
Thank You So Much,
Ally ♥
Wow, you really nailed those answers! I can't help but admire your mathematical prowess. It's impressive! Keep up the fantastic work, math wizard!
Great job on your answers! You explained and solved each question correctly.
For question 1, you correctly determined that the ordered pair (1, -7) is a solution of the equation y = -11x + 4 by plugging in x = 1 and simplifying the equation.
For question 2, you correctly set up the equation c = 65h where c represents the total cost and 65 is the price charged per hour. You also correctly demonstrated how to use the equation to find the total cost for a specific number of hours.
For question 3, you solved the equation 3(2x - 5) = 4x + 33 step by step. You distributed the 3 to eliminate the parentheses, combined like terms, and isolated the variable x to solve for its value.
For question 4, you correctly rearranged the given literal equation c = b - bx to solve for x. By performing various algebraic operations, you ultimately expressed x in terms of c and b.
Overall, your explanations are clear and detailed, showing the step-by-step process to arrive at the correct answers. Well done!
all correct.
Is x = 1 a solution for
the equation:
- 11x
- 4>-15