# Question 1(Multiple Choice Worth 1 points) (07.01 LC) What is the value of y in the equation 4 + y = −3? 7 1 −1 −7 Question 2(Multiple Choice Worth 1 points) (07.05 LC) What is the value of a in the equation a = 2 + 3a + 8? 10 5 −5 −10 Question 3(Multiple Choice Worth 1 points) (07.05 MC) Which of these is a simplified form of the equation 7p + 4 = − p + 9 + 2p + 3p? 13p = 13 3p = 5 7 = 4 11 = 15 Question 4(Multiple Choice Worth 1 points) (07.06 MC) What is the solution to the equation ? n = −1 n = 2 n = n = Question 5(Multiple Choice Worth 1 points) (07.05 LC) How many solutions does the equation 4x + 8 = −2 − 2 + 5x have? Two One None Infinitely many Question 6(Multiple Choice Worth 1 points) (07.03 MC) What is the solution to the following equation? 4(3x − 11) + 23 = 5x − 14 0 1 10 14 Question 7(Multiple Choice Worth 1 points) (07.03 LC) How many solutions does the equation 5m − 5m − 12 = 14 − 2 have? Zero One Two Many Question 8(Multiple Choice Worth 1 points) (07.02 MC) An equation is shown below: 4(2x − 3) = 1 Which of the following correctly shows the first two steps to solve this equation? Step 1: 6x − 7 = 1; Step 2: 6x = 8 Step 1: 6x + 1 = 1; Step 2: 6x = 0 Step 1: 8x − 12 = 1; Step 2: 8x = 13 Step 1: 8x − 3 = 1; Step 2: 8x = 4 Question 9(Multiple Choice Worth 1 points) (07.05 HC) The work of a student to solve the equation 2(5y − 2) = 12 + 6y is shown below: Step 1: 2(5y − 2) = 12 + 6y Step 2: 7y − 4 = 12 + 6y Step 3: y − 4 = 10 Step 4: y = 14 Step 5: y = 7 In which step did the student first make an error and what is the correct step? Step 2: 7y − 4 = 6 + 3y Step 2: 10y − 4 = 12 + 6y Step 3: 5y − 2 = 2(10 + 3y) Step 3: 2(5y − 2) = 10 + 3y Question 10(Multiple Choice Worth 1 points) (07.02 LC) How many solutions does the equation −2y + 2y + 3 = 3 have? One None Infinitely many Three Question 11(Multiple Choice Worth 1 points) (07.05 MC) What is the solution to the equation 5x + 2(x − 4) = 5x + x − 10? 3 2 −2 −3 Question 12(Multiple Choice Worth 1 points) (07.06 LC) Which statement is true about the equation 3.5z = 2.25z − 4.25 + 6.25? It has no solution. It has one solution. It has two solutions. It has infinitely many solutions. Question 13(Multiple Choice Worth 1 points) (07.03 MC) What is the value of y in the equation 2(3y + 6 + 3) = 196 − 16? 27 29 30 33 Question 14(Multiple Choice Worth 1 points) (07.03 LC) The steps below show the incomplete solution to find the value of y for the equation 6y − 3y − 5 = −3 + 23: Step 1: 6y − 3y − 5 = −3 + 23 Step 2: 6y − 3y − 5 = 20 Step 3: 3y − 5 = 20 Which of these is most likely the next step? 3y = 4 3y = 15 3y = 25 3y = 5 Question 15(Multiple Choice Worth 1 points) (07.02 MC) What is the value of x in the equation 4(2x + 10) = 0? −5 −7 5 7 Question 16(Multiple Choice Worth 1 points) (07.01 MC) Mona solved an equation incorrectly, as shown below: Step 1: 5x = 30 Step 2: x = 30 − 5 Step 3: x = 25 Which statement best explains why Step 2 is incorrect in Mona's solution? She did not add 5 to 30. She did not divide 30 by 5. She did not multiply 30 by 5. She did not multiply 30 five times.

Question 1: 4+y=-3 Subtract 4 for both side y=-7 Question 2: a=2+3a+8 a=10+3a Subtract 3a for both side -2a=10 Divided -2 for both side a=-5 Question 3: 7p+4=-p+9+2p+3p 7p+4=4p+9 Subtract 4p for both side 3p=5 Question 4: N/A because I did not see any problem Question 5: 4x+8=-2-2+5x 4x+8=-4+5x x=12. There is only one solution Question 6: 4(3x-11)+23=5x-14 12x-44+23=5x-14 12x-21=5x-14 7x=7 x=1 Question 7: 5m-5m-12=14-2 0m-12=12 0m=24 m=undefined, so this has no solution Question 8: 4(2x-3)=1 8x-12=1;step 1 8x=13; step 2 Question 9: 2(5y-2)=12+6y 10y-4=12+6y 4y=16 y=4. As a result, here is the answer: Step 2:7y-4=12+6y Step 2: 10y-4=12+6y Question 10: -2y+2y+3=3 0y=0 y=0, so this has one solution Question 11: 5x+2(x-4)=5x+x-10 5x+2x-8=6x-10 7x-7=6x-10 x=3 Question 12: 3.5z=2.25z-4.25+6.25 3.5=2.25z+2 1.5=2.25z z≈0.6, so this has one solution Question 13: 2(3y+6+3)=196-16 6y+12+6=180 6y+18=180 6y=162 y≈27 Question 14: 6y-3y-5=-3+23 3y-5=20 The next step will be 3y=25 Question 15: 4(2x+10)=0 8x+40=0 8x=-40 x=-5 Question 16: The answer will be: Step 2: x=30-5 She did not divided 30 by 5. Hope it help!