# (07.01 MC) Which set of steps shows the solution to the equation 2y = −8? y = −8 − 2; y = 6 y = −8 ÷ (−2); y = 4 y = −8 ÷ 2; y = −4 y = −8 − (−2); y = −6 Question 3(Multiple Choice Worth 5 points) (07.06 MC) What is the value of z for the equation fraction 1 over 2z = −fraction 3 over 4 + fraction 1 over 4z? −3 −1 1 3 Question 4(Multiple Choice Worth 5 points) (07.03 MC) The incomplete work of a student to solve an equation is shown below: Step 1: 2x + 8 = 2 Step 2: ? Step 3: x = −6 ÷ 2 Step 4: x = −3 What is the missing Step 2? 2x = −6 2x = 6 2x = 10 2x = −10 Question 5(Multiple Choice Worth 5 points) (07.06 LC) The equation 2.2x − 4.4 = 1.8x can be transformed to form which of the following expressions? 0.4x = 4.4 4.0x = 4.4 0.4x = −4.4 4.0x = −4.4 Question 6(Multiple Choice Worth 5 points) (08.05 LC) A system of equations is shown below: Equation A: 3c = d − 8 Equation B: c = 4d + 8 Which of the following steps should be performed to eliminate variable d first? Multiply equation A by −4. Multiply equation B by 3. Multiply equation A by 3. Multiply equation B by 4. Question 7(Multiple Choice Worth 5 points) (07.05 LC) Which statement is true for the equation 5n − 4 = 5n − 3? It has infinitely many solutions. It has two solutions. It has one solution. It has no solution. Question 8(Multiple Choice Worth 5 points) (08.03 MC) A system of equations is shown below: n = 3m + 7 n − 2m = 1 What is the solution, in the form (m, n), to the system of equations? (3, 7) (1, 8) (−3, −2) (−6, −11) Question 9(Multiple Choice Worth 5 points) (07.03 LC) Which statement is true about the solutions for the equation 3y + 4 = −2? It has no solution. It has one solution. It has two solutions. It has infinitely many solutions. Question 10(Multiple Choice Worth 5 points) (07.05 HC) The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below: Step 1: 2(y + 4) = 4y Step 2: 2y + 6 = 4y Step 3: 2y = 6 Step 4: y = 3 Which of the following explains how to correct Step 2 and shows the correct value of y? The equation should be y + 4 = 4y after division by 2; y = 5 The equation should be y + 4 = 4y after division by 2; y = 2 2 should be distributed as 2y + 8; y = 4 2 should be distributed as 2y + 8; y = 2

Hey!Hope this helps...~~~~~~~~~~~~~~~~~~~~~~~~~~~~I am numbering these from first to last, not in the exact same numeric order you put them. For example, 2.) 's answer is the answer for what you marked as Question 3...1.) C. y= -8 / 2; y= -4 1/2z = -(3/4) + (1/4z)(3/4) = (1/2z) + (1+4z)(3/4) = (1/z) [(1/2) + (1/4)](3/4) = (1/z) [(2/4) + (1/4)](3/4) = (1/z) * (3/4)(3/4) = (3/4z)2.) C. z=13.) A; 2x = -6 2.2x - 4.4 = 1.8x2.2x = 1.8x + 4.40.4x = 4.44.) A. 0.4x = 4.45.) A. Multiply Equation A by -4 5n - 4 = 5n - 3 ???5n = 5n + 10 = 1 XXX6.) D. It has no solution. To solve this question, you must plug in the numbers in order to find out which one makes both equations true...7.) C. (-3, -2) 3y - 4 = -23y = -6y = -28.) B. It has one solution. The following steps, are the correct way to solve the equation...2(y + 4) = 4y2y + 8= 4y2y = 8y = 49.) C. 2 should be distributed as 2y + 8; y = 4~~~~~~~~~~~~~~~~~~~~~~~~~~~~For future reference please post a MAX of 3 questions per post, the only reason your question is not being deleted is because they are relatively easy...