A system of equations | Algebra homework help

A system of equations | Algebra homework help

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<object:standard:macc.912.a–rei.3.5>A system of equations is shown below:x + 3y = 5      (equation 1)7x – 8y = 6     (equation 2)A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof?   Question 2  (05.02)<object:standard:macc.912.a–rei.3.6>Solve the following system of equations:3x – 2y = 66x – 4y = 12   Question 3  (05.01)<object:standard:macc.912.a–rei.3.6>Which graph below shows a system of equations with infinitely many solutions?   Question 4  (05.02)<object:standard:macc.912.a–rei.3.6>A system of equations is shown below:x + y = 32x – y = 6The x-coordinate of the solution to this system of equations is _____.Numerical Answers Expected!Answer for Blank 1:   Question 6  (05.06)<object:standard:macc.912.a–ced.1.3>Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a bag boy for $8 per hour. Due to his class and study schedule, Nick is only able to work up to 20 hours per week but must earn at least $150 per week. If t represents the number of hours Nick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario?   Question 7  (05.02)<object:standard:macc.912.a–rei.3.5>Two systems of equations are shown below:System ASystem B2x + y = 5-10x + 19y = -1-4x + 6y = -2-4x + 6y = -2Which of the following statements is correct about the two systems of equations?    Question 8  (05.06)<object:standard:macc.912.a–rei.4.12>A system of linear inequalities is shown below:y – x > 0x + 1 < 0Which of the following graphs best represents the solution set to this system of linear inequalities?   Question 9  (05.02)<object:standard:macc.912.a–rei.3.6>The total price of a shirt and a cap is $11. If the price of the shirt was doubled and the price of the cap was 3 times its original price, the total price of a shirt and a cap would be $25. What is the price of a shirt and a cap?   Question 10  (05.05)<object:standard:macc.912.a–rei.4.12>Select the inequality that corresponds to the given graph.    Question 11  (05.03)<object:standard:macc.912.a–rei.4.10>The graph of an equation is shown below:Based on the graph, which of the following represents a solution to the equation?   Question 12  (05.03)<object:standard:macc.912.a–rei.4.11>The tables below show the values of f(x) and g(x) for different values of x:f(x) = 2(3)x g(x) = 3x + 9xg(x)-29.11-19.33010112218Based on the tables, what is the solution to the equation 2(3)x = 3x + 9?    Question 13  (05.03)<object:standard:macc.912.a–rei.4.11>An equation is shown below:What is the solution to the equation?   Question 14  (05.02)<object:standard:macc.912.a–ced.1.3>Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya had bought 2 burgers and 1 sandwich, she would have been left with $11. A student concluded that the price of each burger is $5 and the price of each sandwich is $6. Which statement best justifies whether the student’s conclusion is correct or incorrect?   Question 15  (05.06)<object:standard:macc.912.a–rei.4.12>Look at the graph below:Which part of the graph best represents the solution set to the system of inequalities y ≥ x + 1 and y + x ≤ –1?   Question 16  (05.05)<object:standard:macc.912.a–rei.4.12>A graph is shown below:Which of the following inequalities is best represented by this graph?   Question 17  (05.01)<object:standard:macc.912.a–rei.3.6>The graph plots four equations, A, B, C, and D:Which pair of equations has (0, 8) as its solution?   Question 18  (05.03)<object:standard:macc.912.a–rei.4.11>The graph below shows two functions:Based on the graph, what are the approximate solutions to the equation –2x + 8 = (0.25)x?   Question 19  (05.05)<object:standard:macc.912.a–rei.4.12>Greg made 4 chairs and 3 tables. Greg only has enough plywood to make at most 15 chairs or tables total. Let x represent the number of more chairs and y represent the number of more tables that Greg can make. Which of the following graphs best represents the relationship between x and y?   Question 20  (05.02)<object:standard:macc.912.a–rei.3.6>For the following system, if you isolated x in the first equation to use the Substitution Method, what expression would you substitute into the second equation?-x – 2y = -43x + y = 12   Question 21 (05.05)<object:standard:macc.912.a–rei.4.12>Sally has only nickels and dimes in her money box. She knows that she has less than $20 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y?   Question 22  (05.03)<object:standard:macc.912.a–rei.4.10>Which of the following statements best describes the graph of –5x + 2y = 1?   Question 23  (05.01)<object:standard:macc.912.a–rei.3.6>A pair of linear equations is shown below:y = –x + 1y = 2x + 4Which of the following statements best explains the steps to solve the pair of equations graphically? 

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