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Mathematical Problems and Solutions: Equations, Inequalities, and Calculations

Explore various mathematical problems and solutions involving equations, inequalities, and calculations. Practice solving equations, simplifying expressions, and graphing inequalities to enhance your math skills.

jael-newton
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Mathematical Problems and Solutions: Equations, Inequalities, and Calculations

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  1. Greek Gods/ Latin literature Math Large Reptiles Calculus Swedish Fish 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt

  2. Translate the verbal sentence into an equation or an inequality. Then use the information to solve for the variable. The distance t you travel by train is 3 2/3 times the distance d you live from the train station. You drive 3 miles to get from your house to the train station.

  3. ;11 mi

  4. Evaluate. (8x + 1)(-3), x = 1/2

  5. -15

  6. Solve the equation. 8(x + 3) – 2x = 4(x – 8)

  7. -28

  8. Solve the equation. -3(2.98 – 4.1x) = 9.2x + 6.25

  9. 4.9

  10. Using the information, Write an equation of the line in standard form. The line passes through (-1, 2); the slope is 1/3.

  11. X – 3y = -7

  12. Solve the inequality.

  13. Solve the inequality.

  14. Solve the inequality and graph. 3x – 4 > 5 or 5x + 1< 11

  15. x > 3 or x < 2

  16. Solve the system of equations. -2x + 3y = 15 10x – 11y = 9

  17. (24, 21)

  18. Solve the system of equations y = 5x – 2 3x + 7y = 5

  19. (1/2, ½)

  20. Simplify. Then evaluate the expression when a =1 and b = 2.

  21. Simplify. Then evaluate the expression when a =1 and b = 2.

  22. Decide how many solutions the equation has. Then solve the equation.

  23. Decide how many solutions the equation has. Then solve the equation.

  24. Two solutions

  25. Decide how many solutions the equation has. Then solve the equation.

  26. One solution -1

  27. Factor.

  28. (x – 28)(x + 4)

  29. Factor.

  30. (3x-1)(x+6)

  31. Factor.

  32. Solve.

  33. -1 ½, 1 2/3

  34. Solve.

  35. -5, -2, 2

  36. Simplify.

  37. Simplify.

  38. Simplify.

  39. Simplify.

  40. Simplify.

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