What is the solution to the original equation 8(3x – 7) = -6(x + 7) + 4? Show your work.
Question 8
8.
Other Answer Choices:
Multiplication Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Combine Like Terms
Distributive Property of Equality
Isolate the Variable
Division Property of Equality
Question 9
9.
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 _______
Question 10
10.
Which person has earned more money after working 3 hours? Show your work.
Question 11
11.
After how many hours of work will Mary Ann and Carlos have saved the same amount? Show you work.
Question 12
12.
Question 13
13.
Question 14
14.
Question 15
15.
What value of x satisfies the equation
12
3
6
36
Charlotte wants to solve the equation 6(2x+1) = 4x-5. Which step would be an appropriate first step
Combine 4x and -5 to simplify the problem
Subtract 1 from both sides to combine like terms
Distribute the 6 to eliminate the parentheses
Add 4x to both sides to isolate the variable
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?
3x – 12 ≤ 8x + 13
3x – 4 ≤ 8x + 13
x – 4 ≤ 8x + 10
Which of the following graphs represents the solution to the inequality 4x – 12 – x ≥ 3?
-2 ≤ x < 3
-2 < x < 3
-2 < x ≤ 3
-2 ≤ 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.
He combined -42 + 4 incorrectly
He added 6x incorrectly
He distributed 8(3x-7) incorrectly
He distributed -6(x+7) incorrectly
The equation 2(x – 1) = 6 is solved below. Justify each step with the appropriate property.