Algebra 2 Mid Year Exam Review Part II With a calculator

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Presentation transcript:

Algebra 2 Mid Year Exam Review Part II With a calculator Algebra 2 Mid Year Exam Review Part II With a calculator! (55 points out of a total of 118 points)

Evaluate -2x3 + x2 - 5x + 3 when x = -1 2. Simplify. 2( x + 3 ) - 3( x - 4 )

Solve. 1. 8( 2n – 5 ) = 3( 6n – 2 ) 2. 3. 4. Solve by eliminating fractions.

The variable y varies directly with x. Write an equation that relates x and y, if x is 8 when y is 12. Find y when x is 30.

The table gives the number of U. S The table gives the number of U.S. Travelers to Foreign Countries each year. Let x be the number of years after 1994. Year,x 1994, 0 1995, 1 1996, 2 1997, 3 1998, 4 1999, 5 2000, 6 # of U.S. Travelers to F.C., y (in mill.) 4.65 5.08 5.23 5.29 5.63 5.75 6.08 Enter the data into your calculator and make a scatter plot. Use your calculator to find the line of best-fit (run a linear regression) Write the equation of the line of best fit. State the correlaton coefficient (round to 4 decimal places) Is the line a good fit? Explain. Add the line of best-fit to your scatterplot. Use your model to approximate the number of travelers in 2008.

Define variables for the unknown. Summer Jobs. You have two summer jobs. In the first job, you work 25 hours per week and earn $7.75 per hour. In the second job, you earn $6.25 per hour and can work as many hours as you want. You want to earn $250 per week. How many hours must you work at the second job? Define variables for the unknown. Write and define expressions for your earnings at each job Write and solve an equation

Systems If , find A-1. Solve using any method. 3x + 4y = -6 x - 2y = 8 Solve using matrices. 4x + 2y – z = 4 2x - 3y + 2z = 4 x + y – z = -1 4. Concert. A vendor sold 200 tickets for a rock concert. Floor seats were $36 and stadium seats were $28. He sold $6080 in tickets. How many of each kind did he sell? Define 2 variables for the unknowns. Write two equations. Solve to answer the question.

Quadratic Functions Given y = 2( x + 5 )( x – 3 ), Find the x-intercepts. Find the x- and y-coordinates of the vertex.

1. Each year a school’s booster club holds a dance to raise funds 1. Each year a school’s booster club holds a dance to raise funds. In the past, the profit the club made after paying for the band and other costs has been modeled by the function where t represents the ticket price in dollars. a. What ticket price gives the maximum profit? b. What is the maximum profit?

1. If the points ( - 1, - 2 ) , ( 1, - 4 ), ( 2, 1 ) are on the graph of a parabola, use your calculator to find an equation of the quadratic function.