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Algebra Practice Questions for School Ages 13-15

Practice algebra problems for students aged 13 to 15, including averages, equations, percentages, slopes, and geometry. Improve math skills with these challenging exercises.

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Algebra Practice Questions for School Ages 13-15

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  1. Algebra 2 13 January 2011

  2. Given the following ages of staff members at Marshall High School, find the average. 22, 25, 28, 33, 38, 43, 45, 46, 53 • 35.5 • 37 • 38 • 40.5 • 44

  3. If a = 5 and b = -9, then the value of 2a2 + 4ab + b2 = ? • -211 • -49 • 81 • -102 • -188

  4. You scored an 94% on last year’s math final. The final had 50 questions. How many questions did you get correct? • 94 • 54 • 47 • 44 • 40

  5. 0.003 + 4.1 = ? • 4.003 • 4.1003 • 4.13 • 4.103 • 4.4

  6. The Chicago Bears football team won 7 out of 16 games last year. What percent of their games did they win, rounded to the nearest percent? • 41% • 42% • 43% • 44% • 45%

  7. What is the slope of the line determined by the equation 4x +2y = 6 ? • -2 • -½ • ½ • 2 • 3

  8. If x = 9, then 19 + x3 = ? • 46 • 748 • 100 • 739 • 5994

  9. To make space for new merchandise, a clothing store offered a 25% discount on all merchandise. What was the discount on a pair of slacks that regularly sold for $40? • 30 • 25 • 20 • 10 • 5

  10. 3(x – 5) – 2(4 – x) = 2 • x = 4 • x = 5 • x = 6 • x = -5 • x = -4

  11. Which of the following points in the standard (x,y) coordinate plane has the coordinates (8,2)? • A • B • C • D • E

  12. How many lines in the standard (x,y) coordinate plane have slope equal to ¾ ? • 0 • 1 • 2 • 4 • An infinite number

  13. If 7.2x = 100.8, then x = ? • 10 • 11 • 12 • 13 • 14

  14. If 10x – 10 = 50, x = ? • 4 • 6 • 8 • 10 • 12

  15. If 3x + 20 + 4x – 10 = 59, x = ? • x = 28 • x = 6.86 • x = 7 • x = 6.85 • x = 4

  16. Find the area of the rectangle shown below, in square centimeters. • 24 • 1200 • 13,824 • 576 • 331,776

  17. One solution to the equation 4x2 + 6xy – 14 = 0 is x = 6. What is the value of y ? • -2 • -7 • -13 • -17 • -26

  18. Given the following two points, find the slope of the line between them: (2,5) and (9,10) • 2/5 • 5/7 • 5/2 • 7/5 • 9/7 Hint: m =

  19. If x + 4 = 10, then x = ? • 18/8 • 16/3 • 12 • 14 • 16

  20. -2(2x + 4) + 3(x – 1) = -18 • x = 7 • x = 10 • x = -8 • x = -7 • x = -10

  21. Anna’s grades from the fall semester are shown below. Calculate her GPA • 3.5 • 3.4 • 3.2 • 3.0 • 2.4

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