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Chapter 2 Review

This chapter focuses on applying the order of operations to solve various algebraic expressions and equations, including rational numbers and simple ratios. We explore simplifying expressions, evaluating expressions with given variable values, solving for unknowns, and understanding proportions. Practical examples, such as calculating account balances and determining consecutive integers, enhance understanding. The content builds foundational skills essential for tackling advanced algebra concepts and real-life mathematical problems.

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Chapter 2 Review

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  1. Chapter 2 Review Algebra I

  2. Use Order of Operations to Solve -2 – (7- 3) ÷ 4 -2 – (4)÷ 4 -2 – 1 = -3

  3. Simplify each expression (5x • 3) – 4x + 7 = 15x – 4x + 7 = 11x + 7

  4. Evaluate each expression a = 1, b=7, and c = -2 3a + ab – c = 3(1) + 1(7) - -2 = 3 + 7 + 2 = 12

  5. Use replacement set to solve C = {10, 11, 12, 13} + 7 = 12 C = {11}

  6. Determine whether each pair of ratios forms a proportion. ,, 336≠312 648 = 648 No yes

  7. Solve for x. -5 = x + 9 X = -14

  8. Solve for x. x + (-4.2) = 8.6 X = 12.8

  9. Solve for x. x + (-5) = -2 X = 3

  10. Solve for x. X – (-⅝) = ¾ X = ⅛

  11. -4a – 1 = -1 -4a = 0 a= 0

  12. -2t + 4 = 10 – t -t = 6 t = -6

  13. 11 = ½ b – (-3) 8 = ½ b 16 = b b = 16

  14. -2( t -2) = 10 – t -2t + 4 = 10 – t -t = 6 t = -6

  15. Solve the ratio = 5h = 72 H = 14.4

  16. Solve abstractly 7x – c = b Solve for x. 7x = b + c x = b + c 7

  17. Write and solve the equation that corresponds to the statement. The sum of y and negative 3 is five. Y + (-3) = 5 Y = 8

  18. During one week, Damon made deposits in his checking account of $532.40 and $450.98. He wrote a check for $837.75. By how much did his account increase or decrease during the week? $532.40 + 450.98 - $837.75 = $145.63 increase

  19. The sum of two consecutive integers is 125. Find the integers. x + x + 1 = 125 2x + 1 = 125 2x = 124 X = 62 The integers are 62 and 63.

  20. Find the principal when the interest is $300 at 5% rate over 5 years. I = prt 300 = p (5%) (5) 300 = .25 p 1200 = p P = $1200

  21. At the Central Perk coffee shop, Destiny sold 30 more cups of espresso than Cappuccino, for a total of $163.50 worth of the drinks together. How many cups of each were sold. 2(x + 30) + 2.5x = 163.50 2x + 60 + 2.5x = 163.50 4.5x = 103.50 X = 23 cappuccino and 53 espresso

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