5y = 5y is an example of which algebraic property? Symmetric Property Transitive Property Reflexive Property Commutative Property of MultiplicationQuestion 3 (Multiple Choice Worth 3 points)Solve: 3x = −18 −5 6 −6 −9Question 4 (Multiple Choice Worth 3 points)Solve: 5(x + 8) = 7(x − 2) 17 −17 27 −27Question 5 (Multiple Choice Worth 3 points)Solve: x + 10 = −x + 12 8 −4 4Question 6 (Multiple Choice Worth 3 points)3 + a = y is the same as y = 3 + a. This is an example of which algebraic property? Distributive Property Associative Property of Addition Commutative Property of Addition Symmetric PropertyQuestion 7 (Multiple Choice Worth 3 points)Solve: 2(x + 4) − (x + 1) = 10 3 1 2 0Question 8 (Multiple Choice Worth 3 points)Solve: 2 − x = 13 −11 11 −15 15Question 9 (Multiple Choice Worth 3 points)Find the Mistake: provided below is a solution to the equation 3 − 4x = 10x + 10. Choose the statement that is true about the given solution.Line # 3 − 4x = 10x + 101 3 = 14x + 102 −7 = 14x3 −2 = x The entire solution is correct. The provided solution is wrong. There is a mistake in Line #1. The provided solution is wrong. There is a mistake in Line #2. The provided solution is wrong. There is a mistake in Line #3.Question 10 (Multiple Choice Worth 3 points)Solve: 4(x + 1) = −12 −2 4 −3.25 −4Question 11 (Multiple Choice Worth 2 points)Solve: x + 4 = 15 12 19 11 15Question 12 (Multiple Choice Worth 3 points)Complete the Next Step: A partial solution to the equation 4d − 12 = 12 − 4d is given below. Choose the step that is missing from the solution.4d − 12 = 12 − 4d4d − 24 = −4d3 = d 24 = −8d −24 = 8d −24 = 0d −24 = −8dQuestion 13 (Multiple Choice Worth 3 points)Solve: x − 5 = 12 7 17 −17 −7Question 14 (Essay Worth 6 points)Imagine you are teaching a fellow student how to solve:2(x + 6) − 10 = 12 + 4(x − 1)In your own words, explain the process for solving this equation. Please include your work at each step of the process along with the final answer. Question 15 (Essay Worth 6 points)What does it mean for a number to be the "solution" to an equation? Give an example of a variable equation and its solution.Explain in complete sentences how you know that number is the solution.

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1. Reflexive property3. 3x=-18 divide both sides by three and you get x = -64. 5(x + 8) = 7(x − 2)…multiply it out…5x + 40 = 7x -14…subtract 5x from both sides….40 = 2x-14… add 14 to both sides…54 = 2x…divide both side by 2….x = 275. x + 10 = −x + 12…subtract x from both sides…10 = -2x + 12…subtract 12 from both sides…-2 = -2x….divide both side by 2…x = 16. Symmetric Property7. 2(x + 4) − (x + 1) = 10 multiply it out…2x + 8 – x -1 = 10….do the addition and subtraction…x +7 = 10…subtract 7 from both side…..x = 38. 2 − x = 13…subtract 2 from both sides….-x = 11 so x = -119. The solution is correct10. 4(x + 1) = −12…….multiply it our……4x + 4 = -12….. 4x = -16 divide by four…..x = -411. x + 4 = 15…subtract 4 from both sides……x = 1112. −24 = −8d13. x − 5 = 12….add 5 to both sides….x = 1714. 2(x + 6) − 10 = 12 + 4(x − 1) multiply out both sides of the equation…2x + 12 -10 = 12 + 4x -4 ….do the addition and subtraction on both sides…2x + 2 =8 + 4x…..subtract 2 from both sides….. 2x = 6 + 4x…….subtract 4 x from both sides….-2x = 6…divide by -2…..x = -315. A number is a solution to an equation when it is the number that can replace a variable and make the equation work. An example of a variable equation is 2 + x = 6….the solution is that x = 4, because it is the only number that makes the equation work.