Exam 4: Systems of Linear Equations

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Solve the system using the substitution method. Solve the system using the substitution method.

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Mary Jo spends $2,300 to buy stock in two companies. She pays $14 a share to one of the companies and $20 a share to the other. If she ends up with a total of 130 shares, how many shares did she buy at $14 a share and how many did she buy at $20 a share?

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Solve the system of linear equations by the elimination method. Solve the system of linear equations by the elimination method.

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Two numbers have a sum of Two numbers have a sum of   One number is   more than the other. Find the numbers. One number is Two numbers have a sum of   One number is   more than the other. Find the numbers. more than the other. Find the numbers.

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Solve the system by eliminating the x variable. Solve the system by eliminating the x variable.

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Jane is deciding between two sales positions. She can work for Marcy s and receive Jane is deciding between two sales positions. She can work for Marcy s and receive   per hour or for Gigi s, where she earns   per hour but also receives a   commission per week. The two lines in the following figure represent the money Jane will make for working at each of the jobs.   From the sketch of the graphed lines, how many hours would Jane have to work to earn the same amount at each of the positions? __________ hours If Jane expects to work less than   hours a week, which job should she choose? a. Gigi s b. Marcy s __________ If Jane expects to work more than   hours a week, which job should she choose? a. Gigi s b. Marcy s __________ per hour or for Gigi s, where she earns Jane is deciding between two sales positions. She can work for Marcy s and receive   per hour or for Gigi s, where she earns   per hour but also receives a   commission per week. The two lines in the following figure represent the money Jane will make for working at each of the jobs.   From the sketch of the graphed lines, how many hours would Jane have to work to earn the same amount at each of the positions? __________ hours If Jane expects to work less than   hours a week, which job should she choose? a. Gigi s b. Marcy s __________ If Jane expects to work more than   hours a week, which job should she choose? a. Gigi s b. Marcy s __________ per hour but also receives a Jane is deciding between two sales positions. She can work for Marcy s and receive   per hour or for Gigi s, where she earns   per hour but also receives a   commission per week. The two lines in the following figure represent the money Jane will make for working at each of the jobs.   From the sketch of the graphed lines, how many hours would Jane have to work to earn the same amount at each of the positions? __________ hours If Jane expects to work less than   hours a week, which job should she choose? a. Gigi s b. Marcy s __________ If Jane expects to work more than   hours a week, which job should she choose? a. Gigi s b. Marcy s __________ commission per week. The two lines in the following figure represent the money Jane will make for working at each of the jobs. Jane is deciding between two sales positions. She can work for Marcy s and receive   per hour or for Gigi s, where she earns   per hour but also receives a   commission per week. The two lines in the following figure represent the money Jane will make for working at each of the jobs.   From the sketch of the graphed lines, how many hours would Jane have to work to earn the same amount at each of the positions? __________ hours If Jane expects to work less than   hours a week, which job should she choose? a. Gigi s b. Marcy s __________ If Jane expects to work more than   hours a week, which job should she choose? a. Gigi s b. Marcy s __________ From the sketch of the graphed lines, how many hours would Jane have to work to earn the same amount at each of the positions? __________ hours If Jane expects to work less than Jane is deciding between two sales positions. She can work for Marcy s and receive   per hour or for Gigi s, where she earns   per hour but also receives a   commission per week. The two lines in the following figure represent the money Jane will make for working at each of the jobs.   From the sketch of the graphed lines, how many hours would Jane have to work to earn the same amount at each of the positions? __________ hours If Jane expects to work less than   hours a week, which job should she choose? a. Gigi s b. Marcy s __________ If Jane expects to work more than   hours a week, which job should she choose? a. Gigi s b. Marcy s __________ hours a week, which job should she choose? a. Gigi s b. Marcy s __________ If Jane expects to work more than Jane is deciding between two sales positions. She can work for Marcy s and receive   per hour or for Gigi s, where she earns   per hour but also receives a   commission per week. The two lines in the following figure represent the money Jane will make for working at each of the jobs.   From the sketch of the graphed lines, how many hours would Jane have to work to earn the same amount at each of the positions? __________ hours If Jane expects to work less than   hours a week, which job should she choose? a. Gigi s b. Marcy s __________ If Jane expects to work more than   hours a week, which job should she choose? a. Gigi s b. Marcy s __________ hours a week, which job should she choose? a. Gigi s b. Marcy s __________

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