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Algebra I & Concepts

Algebra I & Concepts. Ch. 1 Test Review. Directions. Get out a sheet of paper, title it “Ch. 1 Test Review”, and put your name on the paper! Complete the questions on the slide. If you think you will not finish all the questions, make sure to hit a couple from each set

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Algebra I & Concepts

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  1. Algebra I & Concepts Ch. 1 Test Review

  2. Directions • Get out a sheet of paper, title it “Ch. 1 Test Review”, and put your name on the paper! • Complete the questions on the slide. If you think you will not finish all the questions, make sure to hit a couple from each set • When the answers are revealed, check your answers and see what you got correct, or what mistakes you made. • If necessary, ask for help! • This will be turned in with your homework/assignment sheet

  3. Vocabulary: Match the vocabulary word to the correct definition 1) Variable 2) Function 3) Domain 4) Range 5) Expression a) An equation such that for every input there is exactly one output b) Terms that are being added or subtracted c) The output of a function d) The input of a function e) A symbol used to represent an unknown value

  4. Vocabulary: Match the vocabulary word to the correct definition 1) Variable 2) Function 3) Domain 4) Range 5) Expression a) An equation such that for every input there is exactly one output b) Terms in a mathematical sentence that are being added or subtracted c) The output of a function d) The input of a function e) A symbol used to represent an unknown value Answers: (1,e), (2,a), (3,d), (4,c), (5,b)

  5. Functions Which of the following graphs represent a function? (Look at the red lines) 1) 2) 3)

  6. Functions Which of the following graphs represent a function? 1) 2) 3) Graph 3. It is the only one that does not fail the Vertical Line Test

  7. Functions Which of the following tables does NOT represent a function? 1) 2) 3)

  8. Functions Which of the following tables does NOT represent a function? 1) 2) 3) Table 2 because when the input is 2 and 6, the output is the same for both

  9. Write an algebraic expression for the verbal phrase 1) The sum of a number x squared and 15 2) The quotient of a number x and 7 3) Five less than twice a number x 4) The difference of 3 times a number x and 6

  10. Write an algebraic expression for the verbal phrase 1) The sum of a number x squared and 15 2) The quotient of a number x and 7 3) Five less than twice a number x 2x – 5 4) The difference of 3 times a number x and 6 3x – 6

  11. Write a verbal phrase for the algebraic expression • 4x + 10 2) 3) 4) 8 – 2x

  12. Write a verbal phrase for the algebraic expression • 4x + 10 The sum of 4 times a number x and 10 2) The difference of 7 times a number x squared and 12 3) The quotient of 10 and a number x 4) 8 – 2x 8 is decreased by the product of 2 and a number x

  13. Solve using O.O.O.You may want to write the problems down, they disappear on the answer slide

  14. Solve using O.O.O. Answers 37) 19 38) 32 39) 25 40) 11 41) 13 42) 44 43) 48 44) 144 45) 72 46) 184 47) 8 48) 152

  15. Evaluate the expressions: Reduce all fractions!

  16. Evaluating the Expressions Answers • 53 • 29 • 35/8 • 7/2 • 11/6 • 19/3 • 1 • 49 • 0

  17. Simplify: Distribute • 3(x + 2) • -4(x + 5) 3) – (x – 7) 4) 5(4x – 13) 5) 8(-2x + 5) 6) 4(-3x – 1)

  18. Simplify : Distribute • 3(x + 2) = 3x + 6 • -4(x + 5) = -4x – 20 3) – (x – 7) = -x + 7 4) 5(4x – 13) = 20x – 65 5) 8(-2x + 5) = -16x + 40 6) 4(-3x – 1) = -12x – 4

  19. Simplify: Combine like terms • 5x + 7 + 3x – 4 2) 3) 4) -x – 6 – 3x – 1

  20. Simplify: Combine like terms • 5x + 7 + 3x – 4 = 8x + 3 2) = 3) = 4) -x – 6 – 3x – 1 = -4x – 7

  21. Simplify: Distribute and Combine Like Terms • 4 – 5(2x + 7) • -7(4 – x) + 9x 3) -6x + 8(-3 + 4x) 4) 2(x – 4) + 3(x + 5) 5) 9(4 – 7x) – 3(2 + 5x) 6) -5(2x – 3) + 7(x – 1)

  22. Simplify: Distribute and Combine Like Terms • 4 – 5(2x + 7) = 4 – 10x – 35  -10x – 31 • -7(4 – x) + 9x = -28 +7x + 9x 16x – 28 3) -6x + 8(-3 + 4x) = -6x – 24 + 32x  26x – 24 4) 2(x – 4) + 3(x + 5) = 2x – 8 + 3x + 15  5x + 7 5) 9(4 – 7x) – 3(2 + 5x) = 36 – 63x – 6 – 15x  -78x + 30 6) -5(2x – 3) + 7(x – 1) = -10x + 15 +7x – 7  -3x + 8

  23. Find the solution to the equation using the given replacement set • 3y – 17 = 13 {8, 9, 10, 11, 12} 2) 22 – x = 10 {9, 10, 11, 12, 13}

  24. Find the solution to the equation using the given replacement set • 3y – 17 = 13 {8, 9, 10, 11, 12} y = 10 2) 22 – x = 10 {9, 10, 11, 12, 13} x = 12

  25. Plot and label the points on the Graph A (5, 3) B (-4, 1) C (0, -7) D (-3, -6) E (2, -8) F (6, 0)

  26. Plot and label the points on the Graph A (5, 3) B (-4, 1) C (0, -7) D (-3, -6) E (6, -8) F (6, 0) * A * B * F * D * C * E

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