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1 Name Date Period Part 1 1 st 6weeks material 1. Write an expression that can be used to determine the number of blocks in the n th figure. 2. Write an expression to represent the sequence below: 5, 8, 11, 14, The expression below describes a sequence of numbers. 4n + 29 If n represents the position of a number in this sequence, write the first 5 seqeunce of numbers to describe this expression. 4. Solve the following equation for x: y = mx + b 5. Translate the following equation: 81 is one less than a number times the quantity of nine. 6. If y = 4 x 2, what is the value of x when y = -9 5 Solve the following for x: 7. 6( 6 + 5x) 6(x 7) = x x

2 = 4x + 7(3 7x) Solve the following inequality and graph the solution (x + 6) 25 3x x 8x + 7( 4 + 2x) 11. In which step below does a mistake first appear in simplifying the expression 0.5(-12c + 6) 3(c + 4) + 10(c 5)? Step 1: -6c + 3 3(c + 4) + 10(c 5) Step 2: -6c + 3 3c (c 5) Step 3: -6c + 3 3c c -50 Step 4: 7c 41 A) Step 1 B) Step 2 C) Step 3 D) Step Describe the domain and the range of this function. (1, 4) (2, 6) (3, 8) (4, 10) (5, 12) (6, 14)

3 13. Determine which is a function. Circle your answer A. B. C. {(4,5), (3, -2), (- 2,5), (4,7)} 14. If 4x + y = 10, find the range if the domain is {1, 2, 4}. Write answers in the different representations, such as mapping, coordinates, t-table and graph.

4 15. A taxi company charges a fee of $2.50 plus $1.10 for each mile driven. The cost of the taxi ride, r, of driving m miles is given by the function r = m. What is the domain for this function? 16. What is the domain and range of the graph?

5 Name Date Period Part 2-2 nd Six Weeks material 1. Write the equation of the line that passes through the point (3,2) and is parallel to the line represented by the equation y = x Write the equation of the line that passes through the point ( 8,5) and is perpendicular to the line represented by the equation y = 4x Write the equation of the line that passes through the point ( 6,4) and is parallel to the line represented by the equation 3y = 2x Write the equation of the line that passes through the point ( 1, 4) and is perpendicular to the line represented by the equation 9x + 3y = 8. For questions 5 8, find the slope using slope formula. 5. ( 6, 1) and ( 3, 5) 6. ( 2, 3) and ( 7, 6) 7. f( 1) = 9 and f(5) = 6 8. f( 5) = 3 and f(2) = 6

6 For questions 9 10, find the slope of each line Slope: Slope: For questions 11 14, match the equation with the graph. 11. y 3x + 4 A B 12. x y > x 2y < 10 C D 14. 5x 3y 15

7 For questions 15 16, give the rate of change and the meaning Danny wants an average grade of at least 93 for his four algebra exams. The scores for his first three exams are 94, 89, and 96. Which inequality can be used to find s, the minimum grade Danny needs to earn on his fourth exam to have an average grade of at least 93? x A C. x x B D. x Solve the equation you picked for #17 and show your work below. What is the minimum grade he can get on his fourth exam? 19. Max sells lemonade for $2 per cup and candy for $1.50 per bar. He earns $425 selling lemonade and candy. a. Write a linear model that relates the number of cups of lemonade he sold to the number of bars of candy he sold. b. If Max sold 90 bars of candy, how many cups of lemonade did he sell?

8 20. Jessica is shipping a package to Kuwait. She knows there is a standard fee plus a certain amount per ounce of the box. She was given the following table to determine the total amount she would spend on shipping. Write an equation (in slope-intercept form) to represent the total amount Jessica will spent based on the ounces of her box. Ounces Total Amount 2 $28 4 $31 8 $27 John has an itunes gift card with $25 available to use. Each music download is $1.29. Write a function that can be used to find the balance, b(x), remaining on the gift card after x downloads. 21. John has an itunes gift card with $25 available to use. Each music download is $1.29. Write a function that can be used to find the balance, b(x), remaining on the gift card after x downloads.

9 Name Date Period Find the solution to the following systems: Part 3-3 rd Six Weeks material y = 2x { y = 5x 2 y = x { y = 3x 10 x y = 6 3. { x + 3y = 6 3x 2y = 0 4. { x + 2y = 12 x = y { 2x + y = 22 3x y = 5 6. { 8x 4y = 32

10 7. Movies Are Us has two video rental plans. The Regular video rental plan charges $3 for each video rental. The Preferred video rental plan has a $9 membership fee and charges $2 for each video rental. How many video rentals give the two plans the same cost? What is the equal cost? Equations: Solve: 8. Together, a football and a basketball cost $65. A football costs $5 more than twice the basketball. How much does a football cost? Equations: Solve: 9. At McDonalds, a cheeseburger has 300 fewer calories than a large fries. Two cheeseburgers and a large fries have 2100 calories. How many calories are in each item? Equations: Solve: 10. Suzy and Joe both have a painting company. Suzy charges a $50 deposit and $30 per hour. Joe charges $20 per hour with a $100 deposit. Equations: Solve:

11 11. Write a system of inequalities to represent the solution set below. 12. Which situation is best represented by the following system? y = 45x + 10 x = y + 60 A. Paul has $10 in the bank and plans to add $45 more each month. Opal has $60 more than Paul. B. Sally and Cody both need to have their cars repaired. To have them repaired, Sally will pay $35 per hour plus a $60 towing fee, and Cody will pay $10 per hour plus a $45 towing fee. C. To join a tennis club, Bobby will pay $45 per month plus a $10 joining fee. His former club cost $60 per month with no joining fee. D. Cameron is a designer who makes $45 per hour and receives a $10 travel allowance. Tina is a financial consultant who gets a $60 expense allowance and earns $35 per hour.

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