Grade 10 Algebra Assessment

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  • 1/48 Questions

    A notebook costs $8. If Sarah buys 3 notebooks, how much does she spend?

    • $16
    • $20
    • $24
    • $30
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About This Quiz


Gear up for mathematical excellence with our Grade 10 Algebra Assessment! This quiz is tailored to challenge and evaluate your proficiency in algebraic concepts. From solving equations to mastering functions, each question is crafted to assess your understanding of Grade 10 math curriculum.
Whether you're aiming to reinforce your knowledge or preparing for exams, this assessment provides a comprehensive review of essential algebraic skills. Dive into topics like linear and quadratic equations, inequalities, and polynomials. Track your progress and identify areas for improvement as you navigate through this dynamic assessment. Elevate your algebraic prowess and gain confidence in tackling complex mathematical problems. Ace the Grade 10 Algebra Assessment and set the foundation for success in higher-level math courses!

Grade 10 Algebra Assessment - Quiz

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  • 2. 

    The length of a rectangle is 10 cm and its width is 5 cm. What is its area?

    • 25 sq cm

    • 50 sq cm

    • 100 sq cm

    • 150 sq cm

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  • 3. 

    Which of the following is the solution to the equation 3x + 5 = 17?

    • X = 3

    • X = 4

    • X = 6

    • X = 9

    Rate this question:

  • 4. 

    Which of the following is the solution to the equation 4(x + 3) = 28?

    • X = -1

    • X = 2

    • X = 4

    • X = 7

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  • 5. 

    Which term is missing in the following arithmetic sequence: 8, __, 20, 26, 32, 38?

    • 11

    • 14

    • 17

    • 23

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  • 6. 

    What is the common difference in the arithmetic sequence: 9, 16, 23, 30, ...?

    • 5

    • 6

    • 7

    • 8

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  • 7. 

    If the price of a shirt is $40 and it is reduced by 20%, what is the sale price?

    • $32

    • $36

    • $38

    • $42

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  • 8. 

    What is the value of x in the equation (x/2) + 3 = 7?

    • X = -2

    • X = 2

    • X = 8

    • X = 12

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  • 9. 

    Factorize the expression x^2 + 6x + 9.

    • (x - 3)(x - 3)

    • (x + 3)(x + 3)

    • (x - 3)(x + 3)

    • (x + 3)(x - 3)

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  • 10. 

    What is the 10th term in the arithmetic sequence: 3, 7, 11, 15, ...?

    • 35

    • 37

    • 39

    • 41

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  • 11. 

    What is the value of x in the equation 2(x - 3) = 10?

    • X = -1

    • X = 0

    • X = 5

    • X = 8

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  • 12. 

    Sara borrowed $500 from a friend at an interest rate of 8% per year. How much interest will she have to pay after 2 years?

    • $80

    • $100

    • $160

    • $200

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  • 13. 

    Factorize the expression 2x^2 - 5x - 3.

    • (2x - 6)(x + 1)

    • (2x + 3)(x - 1)

    • (2x + 1)(x - 3)

    • (2x - 1)(x + 3)

  • 14. 

    What is the simplified form of (5x^2 - 3x + 2) + (-2x^2 + 4x - 1)?

    • 3x^2 + x + 1

    • 3x^2 + x + 3

    • 3x^2 + x - 1

    • 3x^2 - x + 1

    Rate this question:

  • 15. 

    Factorise the expression 2x^2 + 5x + 3.

    • (2x + 3)(x + 1)

    • (2x - 3)(x + 1)

    • (2x + 1)(x + 3)

    • (2x - 1)(x + 3)

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  • 16. 

    Factorise the expression 3x^2 - 6x - 9.

    • (3x + 1)(x + 3)

    • (3x - 1)(x - 3)

    • (3x - 1)(x + 3)

    • (3x + 3)(x - 3)

    Rate this question:

  • 17. 

    1. Solve the following system of equations: 2x + 3y = 8 4x - y = 10

    • X = 19/7, y = 6/7

    • X = 3, y = -2

    • X = 1, y = 2

    • X = -1, y = 4

  • 18. 

    In a line graph, what does the slope of the line indicate?

    • Rate of change

    • Probability

    • Frequency

    • Mean value

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  • 19. 

    The ratio of boys to girls in a class is 3:5. If there are 24 boys in the class, how many girls are there?

    • 30

    • 36

    • 40

    • 48

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  • 20. 

    Which of the following is the solution to the equation 7 - 2(3x + 2) = 1?

    • X = 1/3

    • X = 0

    • X = 1

    • X = 2

  • 21. 

    What does the x-intercept represent on a graph?

    • The value of y when x is zero

    • The value of x when y is zero

    • The maximum point of the graph

    • The minimum point of the graph

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  • 22. 

    A car is traveling at a speed of 60 km/hr. How far can it travel in 2.5 hours?

    • 120 km

    • 125 km

    • 150 km

    • 135 km

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  • 23. 

    Factorise the expression x^2 - 5x + 6.

    • (x - 3)(x - 2)

    • (x + 3)(x - 2)

    • (x - 3)(x + 2)

    • (x + 3)(x + 2)

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  • 24. 

    Factorize the expression 4x^2 + 16.

    • 4(x + 4)(x - 4)

    • 4(x - 4)(x - 4)

    • 4(x + 2)(x -2)

    • 4(x - 4)(x + 4)

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  • 25. 

    What is the simplified form of 6(3x + 4) - (2x - 1)?

    • 20x + 23

    • 16x + 6

    • 18x + 5

    • 16x+25

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  • 26. 

    What is the simplified form of (3x^2 + 4x - 8) - (x^2 - 2x + 1)?

    • 2x^2 + 6x - 9

    • 2x^2 + 6x - 7

    • 2x^2 + 2x - 7

    • 2x^2 + 2x - 9

    Rate this question:

  • 27. 

    What is the simplified form of 9a^2b^3 / 3ab?

    • 3ab^2

    • 3a^2b

    • 6ab^2

    • 3a^2b^2

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  • 28. 

    Which of the following is a solution for the inequality 2x - 3 < 9?

    • X > 6

    • X < 6

    • X > 3

    • X < 3

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  • 29. 

    What is the solution to the equation 2(3x - 1) + 3(2x + 1) = 11?

    • X = -2

    • X = -1

    • X = 5/6

    • X = 1

  • 30. 

    Which of the following is a solution for the inequality 7x + 3 > 24?

    • X > 3

    • X < 3

    • X > 4

    • X < 4

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  • 31. 

    What is the simplified form of (2a^2 - 3ab + 4b^2)(a - b)?

    • 2a^3 - 4a^2b + b^3

    • 2a^3 - 5ab^2 - 4b^2

    • 2a^3 - 5a^2b + 7ab^2 - 4b^3

    • 2a^3 - 3a^2b + 7ab^2 - 4b^3

    Rate this question:

  • 32. 

    Solve the inequality 2(3x - 1) ≤ 4x + 2.

    • X ≤ 2

    • X ≥ -2

    • X ≤ 2/3

    • X ≥ 2/3

  • 33. 

    What is the simplified form of 4x/8 - 2x/6?

    • X/6

    • X/16 

    • X/12

    • X/24

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  • 34. 

    Which of the following is a solution for the inequality -2x + 7 < 9?

    • X > -1

    • X < -1

    • X > -2

    • X < -2

  • 35. 

    What is the 7th term in the Fibonacci sequence: 1, 1, 2, 3, 5, 8, ...?

    • 10

    • 12

    • 13

    • 21

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  • 36. 

    What is the slope of a vertical line on a graph?

    • 0

    • Undefined

    • 1

    • Infinity

    Rate this question:

  • 37. 

    2. Solve the following system of equations: 3x + 2y = 13 2x - 4y = -6? 

    • X = 5/2 , y = 11/4

    • X = 2/5, y = -2/11

    • X = 3/7, y = 2/9

    • X = -2/5, y = 3/7

    Rate this question:

  • 38. 

    4. Solve the following system of equations: 4x - 5y = -13 2x + 3y = 7

    • X = -2, y = 1

    • X = 1, y = 2

    • X = 3, y = 4

    • X = -1, y = -2

    Rate this question:

  • 39. 

    What is the definition of a graph in mathematics?

    • A visual representation of data using bars and columns

    • A collection of points and lines connecting some or all of the points

    • A branch of mathematics that deals with solving equations

    • A shape formed by two intersecting curves

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  • 40. 

    Solve the inequality -4x + 9 ≤ 5.

    • X ≥ 1

    • X ≤ 1

    • X ≥ 2

    • X ≤ 2

    Rate this question:

  • 41. 

    5. Solve the following system of equations: 3x + 4y = 12 6x + 8y = 18

    • X = 2, y = 0

    • X = 1, y = 2

    • X = 0.5, y = 2

    • X = -2, y = 3

    Rate this question:

  • 42. 

    What is the sum of the first 15 terms in the geometric sequence: 2, 6, 18, 54, ...?

    • 14,348,906

    • 886,450

    • 896,450

    • 901,450

    Rate this question:

  • 43. 

    3. Solve the following system of equations: 6x + 3y = 21 2x + y = 8

    • X = 1, y = 6

    • X = -2, y = 12

    • X = 3, y = 2

    • X = 4, y = 0

    Rate this question:

  • 44. 

    6. Solve the following system of equations: 2x + 5y = 9 6x + 15y = 27

    • X = 3, y = 0

    • X = 0, y = 3

    • X = 1, y = 2

    • X = 2, y = 1

    Rate this question:

  • 45. 

    What is the next term in the sequence: 2, 5, 10, 17, 26, ?

    • 38

    • 39

    • 40

    • 41

    Rate this question:

  • 46. 

    Which type of graph is used to show the relationship between two variables?

    • Bar graph

    • Line graph

    • Pie chart

    • Scatter plot

    Rate this question:

  • 47. 

    Which of the following is a directed graph?

    • Bar graph

    • Line graph

    • Pie chart

    • Flow chart

    Rate this question:

  • 48. 

    Solve the inequality 3x + 5 > 10.

    • X < 1

    • X > 1

    • X < 5

    • X > 5

    Rate this question:

Quiz Review Timeline (Updated): Dec 17, 2024 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Dec 17, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 20, 2023
    Quiz Created by
    Alfredhook3
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