Question 1(multiple choice worth 1 points) (01.02 lc) solve for x: the quantity x plus fifty all over two equals thirteen times x x = 2 x = 5 x = 9 x = 13 question 2(multiple choice worth 1 points) (01.02 mc) kelsey solved the following equation: 7x − one over two (8x + 2) = 6 step work justification 1 7x − 4x − 1 = 6 2 3x − 1 = 6 3 3x = 7 4 x = 7 over 3 which of the following has all of the correct justifications kelsey used to solve this equation? 1. distributive property 2. combine like terms 3. addition property of equality 4. division property of equality 1. multiplication property of equality 2. combine like terms 3. addition property of equality 4. division property of equality 1. distributive property 2. combine like terms 3. subtraction property of equality 4. division property of equality 1. multiplication property of equality 2. combine like terms 3. subtraction property of equality 4. division property of equality question 3(multiple choice worth 1 points) (01.02 lc) solve for x: −4x − 4 = −4(x + 2) 0 −4 all real numbers no solution question 4(multiple choice worth 1 points) (01.02 mc) solve the following equation for x to find the total number of people who downloaded songs from a music site for a certain month: x = 0.6x + 384 how many people downloaded songs from the site that month? 576 240 144 960 question 5(multiple choice worth 1 points) (01.02 mc) fill in the missing work and justification for step 3 when solving 2(x + 1) = 10. step work justification 1 2(x + 1) = 10 given 2 2x + 2 = 10 distributive property 3 4 2x = 8 simplify 5 two times x over two equals eight over two division property of equality 6 x = 4 simplify 2x + 2 + 2 = 10 + 2; addition property of equality 2x + 2 − 2 = 10 − 2; subtraction property of equality (2x + 2)(2) = 10(2); multiplication property of equality the quantity two times x plus two all over two equals ten over two; division property of equality question 6(multiple choice worth 1 points) (01.02 lc) solve for x: three halves plus one half times x equals two x x equals two thirds x = 1 x = 2 x = 3 question 7(multiple choice worth 1 points) (01.02 lc) solve for x: 5(x + 3) = 4(x − 3) −18 −27 −3 −6 question 8(multiple choice worth 1 points) (01.02 lc) solve for x: 3x − 5 = 2x + 6. 1 −1 11 −11 question 9(multiple choice worth 1 points) (01.02 mc) which of the following describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution? subtract 6 from both sides, and then divide by 2. the solution is x = 8. divide both sides by 6, and then add 2. the solution is x = 8. add 6 to both sides of the equation, and then divide by 2. the solution is x = 6. subtract 6 from both sides of the equation, and then divide by 22. the solution is x = 16. question 10(multiple choice worth 1 points) (01.02 mc) walter's steps and reasoning for solving an equation are shown below: given: three halves times x plus ten equals forty steps reasons 1. three halves times x plus ten equals forty 1. given 2. three halves times x plus ten minus ten equals forty minus ten 2. addition property of equality 3. three halves times x equals thirty 3. simplify 4. three halves times x times two thirds equals thirty times two thirds 4. multiplication property of equality 5. x = 20 5. simplify choose which reason is incorrect. reason 1 reason 2 reason 3 reason 4