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5.
What value of x satisfies the equation
Charlotte wants to solve the equation 6(2x+1) = 4x-5. Which step would be an appropriate first step
Use the inequality to answer the following question.
3(x – 4) ≤ 8x + 13
Which of the following inequalities could be the result of the first step in solving the inequality for x?
Which of the following graphs represents the solution to the inequality 4x – 12 – x ≥ 3?
Use the information to answer questions 6 and 7.
Fred solved the equation 8(3x – 7) = -6(x + 7) + 4 as shown.
What error did Fred make between Step 1 and Step 2? Explain your reasoning.
What is the solution to the original equation 8(3x – 7) = -6(x + 7) + 4? Show your work.
The equation 2(x – 1) = 6 is solved below. Justify each step with the appropriate property.
Use the information below to answer questions 9, 10, and 11.
Mary Ann and Carlos are each saving for new scooters. Mary starts with $10 dollars in her account and deposits an additional $6 per hour that she earns babysitting. Carlos starts with $2 in his account and deposits and additional $8 per hour that he earns mowing lawns. Let x represent the number of hours each person works and y represent the total earnings in dollars.
Write an equation that represents both of the savings plans.
Mary
Carlos
Which person has earned more money after working 3 hours? Show your work.
After how many hours of work will Mary Ann and Carlos have saved the same amount? Show you work.
Solve for r.
Which statement is true about the equation below?
3(2-k) = -3k+2
Which equation has infinitely many solutions?
