Solving an Equation
Solve:
-3(2x - 5) - 4(5 - x) = -11
What is x = 3?
Write an equation in standard form for the following: Alan is a landscaper. He is paid $12/hour, and when he brings an assistant, the assistant is paid $10/hour. Alan and his assistant complete a job for you, for which you pay them a total of $360.
What is 12x + 10y = 360?
What is the slope in the following line?
y - 83 = -5/7(x - 210)
What is -5/7?
Ellen earned a total of $300 through a combination of tutoring (for which she was paid $20/hour) and babysitting (for which she was paid $10/hour). Write an equation in standard form that reflects this.
What is 20x + 10y = 300?
How many solutions are there in the following? If there is 1 solution, what is it?
9 - 7(2 - x) = 5(x - 1) + 2x
What is, all numbers are solutions?
Convert the equation to slope-intercept form:
2x - 5y = 3
What is, y = 2/5x - 3/5?
Write the equation in point-slope form for the given slope and ordered pair:
7, (9, 13)
What is y - 13 = 7(x - 9)?
An online travel site that helps plan vacations charges an initial fee in addition to $15 for each hour they help plan. For instance, the price for a trip that is 35 hours long costs $645.
What is y = 15x + 120?
-12 = 5 - 1/2(10x - 6) - x
What is x = 10/3?
Convert to standard form:
y = -2/3x + 1
What is, 2x + 3y = 3?
y + 5 = -3/4(x - 6)
What is y = -3/4x - 1/2?
You open a bank account with a one-time initial deposit, and then you make a consistent weekly deposit at the end of each week. Assume no other changes. After 2 weeks, the account contains $58. After 22 weeks, the account contains $138. Write an equation that reflects this function.
Solve for c:
(1/3bc) + 2a = n
What is, c = [3(n-2a)]/b?
Find the slope of this equation:
3x - 4y = 20
What is 3/4?
Transform to standard form:
y + 2 = -4/3(x - 1)
A hot air balloon begins to descend from its cruising altitude at a steady number of feet per minute. 3 minutes after beginning to descend, its altitude is 263 ft. 40 minutes after beginning to descend, its altitude is 115 ft. Write an equation to represent this relationship.
What is y = -148x + 707?
9x - 2(3x - 5) = -2(x - 3) + 7 + x
What is, 1 solution: x = 3/4?
What are the x- and y-intercepts of the line 2x - 5y = 20?
What is y-intercept of -4 and x-intercept of 10?
Write an equation for a line that contains (-5, -6) and (7, 3) in slope-intercept form
What is y = 3/4x - 9/4?
A charity organization had a fundraiser where they sold each ticket for a fixed price. After selling 200 tickets, they had a net profit of $12,000. They also had to cover necessary production costs of $1,200. Write an equation to represent this.
What is y = 66x - 1200?