Final Exam( Math) G10

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  • 1/20 Questions

    The answer of following (a³b)4  is :

    • A14 b5
    • A8 b4
    • A12 b4
    • A10 b³
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About This Quiz

This Final Exam for Grade 10 focuses on algebraic concepts including solving equations, understanding inequality symbols, and manipulating algebraic expressions.

Final Exam( Math) G10 - Quiz

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  • 2. 

    A statement in which sign of equality “ = ” is used to link two algebraic expressions is called

    • Formula

    • Equation

    • Fraction

    • Matrix

    Correct Answer
    A. Equation
    Explanation
    An equation is a statement in which the sign of equality "=" is used to link two algebraic expressions. In an equation, the expressions on both sides are equal to each other. This allows us to solve for unknown variables by finding values that satisfy the equation. Formulas, fractions, and matrices are not necessarily statements of equality and do not involve the use of the "=" sign in the same way as an equation.

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  • 3. 

    The solution of x + 3 < 9    is :

    • X > 4

    • X < 6

    • X < 5

    • X = 6

    Correct Answer
    A. X < 6
    Explanation
    The solution to the inequality x + 3 < 9 is x < 6. This means that any value of x that is less than 6 will make the inequality true. When we subtract 3 from both sides of the inequality, we get x < 6 as the result. Therefore, x must be less than 6 in order for the inequality to hold true.

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  • 4. 

    Determine which inequality matches the statement: A number is less than 4 :

    • X ≤ 4

    • X < 4

    • X > 4

    • X ≥ 4

    Correct Answer
    A. X < 4
    Explanation
    The correct answer is x < 4 because the statement "A number is less than 4" indicates that the number should be smaller than 4, not equal to it. Therefore, x < 4 is the appropriate inequality that represents this relationship.

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  • 5. 

    What is the correct factorization  of x2  + 13 x + 40

    • ( x -8) ( x -5 )

    • ( x + 5 ) ( x + 8 )

    Correct Answer
    A. ( x + 5 ) ( x + 8 )
    Explanation
    The correct factorization of x^2 + 13x + 40 is (x + 5)(x + 8). This can be determined by finding two numbers that multiply to give 40 and add up to 13, which are 5 and 8. Therefore, the factors are (x + 5) and (x + 8).

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  • 6. 

    By solving the following (5a²b³)², the answer will be :

    • 25a5 b6

    • 25a4 b6

    • 25a7 b5

    • 25a³b4

    Correct Answer
    A. 25a4 b6
    Explanation
    The expression (5a²b³)² can be simplified by multiplying the exponents inside the parentheses by the exponent outside the parentheses. Therefore, (5a²b³)² becomes 5²a²(2)(b³)(2), which simplifies to 25a⁴b⁶.

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  • 7. 

    The symbol ≤ is used for :

    • Less than

    • Greater than

    • Less than and equal to

    • Greater than and equal to

    Correct Answer
    A. Less than and equal to
    Explanation
    The symbol ≤ is used to represent "less than or equal to". It indicates that the value on the left side of the symbol is either less than or equal to the value on the right side.

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  • 8. 

    The product of y7 and y³ is equal to :

    • Y10

    • Y21

    • Y4

    • Y²

    Correct Answer
    A. Y10
    Explanation
    The product of y7 and y³ can be found by adding the exponents of y, which gives us y10.

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  • 9. 

    (8 ÷ 4) ÷ 2 = 8 ÷ (4 ÷ 2)

    • True

    • False

    Correct Answer
    A. False
    Explanation
    The given statement (8 ÷ 4) ÷ 2 = 8 ÷ (4 ÷ 2) is true. This is because according to the order of operations, division should be performed from left to right. Therefore, first we divide 8 by 4 to get 2, and then we divide 2 by 2 to get 1 on both sides of the equation. Hence, both sides of the equation are equal, making the statement true.

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  • 10. 

    By solving the (4x)³ , the answer will be : 

    • 84x²

    • 64x²

    • 64x4

    • 64x³

    Correct Answer
    A. 64x³
    Explanation
    When solving (4x)³, we need to cube the expression 4x. To do this, we raise both the coefficient and the variable to the power of 3. The coefficient, 4, cubed is 64, and the variable, x, cubed is x³. Therefore, the answer is 64x³.

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  • 11. 

    The solution to the following pair of simultaneous equations is: 9 x - 4 y = -14 4 x - 9 y = 1

    • (2, 8)

    • (-2, -1)

    • (2, 1)

    • (1, 2)

    Correct Answer
    A. (-2, -1)
    Explanation
    The correct answer is (-2, -1) because when we substitute x = -2 and y = -1 into both equations, we get 9(-2) - 4(-1) = -14 and 4(-2) - 9(-1) = 1, which satisfies both equations. Therefore, (-2, -1) is the solution to the pair of simultaneous equations.

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  • 12. 
    The answer of these simultaneous equations is ( 1 , 2 )         - ProProfs

    The answer of these simultaneous equations is ( 1 , 2 )        

    • True

    • False

    Correct Answer
    A. True
    Explanation
    The answer is true because when we substitute x = 1 and y = 2 into both equations, we get a true statement. This means that the values (1, 2) satisfy both equations simultaneously, making it the correct answer.

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  • 13. 

    The product of a²b4 and a³b5  is

    • A10 b20

    • A5 b9

    • A4 b6

    • A6 b7

    Correct Answer
    A. A5 b9
    Explanation
    The product of a²b4 and a³b5 can be found by multiplying the coefficients of a and b separately. The coefficient of a is a raised to the power of 2 in the first term and raised to the power of 3 in the second term, so the product of the coefficients of a is a raised to the power of 2+3, which is a raised to the power of 5. Similarly, the coefficient of b is b raised to the power of 4 in the first term and raised to the power of 5 in the second term, so the product of the coefficients of b is b raised to the power of 4+5, which is b raised to the power of 9. Therefore, the product of a²b4 and a³b5 is a5 b9.

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  • 14. 

    Determine the solution to the inequality 9x + 6 ≥ 11x

    • X < 3

    • X > 3

    •  x ≤ 3

    •  x ≥ 3

    Correct Answer
    A.  x ≤ 3
    Explanation
    The correct answer is x ≤ 3. To determine the solution to the inequality, we need to isolate the variable x. We can do this by subtracting 9x from both sides of the inequality, which gives us 6 ≤ 2x. Then, we divide both sides by 2 to solve for x, resulting in 3 ≤ x. However, since the question asks for the solution in terms of x, we reverse the inequality sign to get x ≤ 3.

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  • 15. 

    The value of ‘x’ in 6x - 4 = 3x + 8 should be

    • 3

    • 6

    • 5

    • 4

    Correct Answer
    A. 4
    Explanation
    To find the value of 'x' in the equation 6x - 4 = 3x + 8, we need to isolate the variable on one side of the equation. By subtracting 3x from both sides, we get 3x - 4 = 8. Then, by adding 4 to both sides, we get 3x = 12. Finally, dividing both sides by 3, we find that x = 4.

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  • 16. 

    The value of ‘x’ in √(x - 1) = 4      should be :

    • 23

    • 17

    • 19

    • 20

    Correct Answer
    A. 17
    Explanation
    The correct answer is 17 because when we substitute x=17 into the equation √(x-1) = 4, we get √(17-1) = 4, which simplifies to √16 = 4. Since the square root of 16 is indeed 4, the value of x=17 satisfies the equation and is therefore the correct answer.

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  • 17. 

    The solution of 4x - 2 > 6    is :

    • X > 2

    • X < 2

    • X = 4

    • X > 4

    Correct Answer
    A. X > 2
    Explanation
    The given inequality is 4x - 2 > 6. To solve this inequality, we need to isolate the variable x. First, we add 2 to both sides of the inequality to get 4x > 8. Then, we divide both sides by 4 to get x > 2. Therefore, the solution to the inequality is x > 2.

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  • 18. 

    Find the roots: ( x + 6 ) ( x - 3 )

    • 3 , -6

    • -3 , 6

    Correct Answer
    A. 3 , -6
    Explanation
    The given expression is a quadratic equation in the form of (x + 6)(x - 3). To find the roots of this equation, we set it equal to zero and solve for x. By using the zero product property, we can determine that the roots are x = -6 and x = 3. Therefore, the correct answer is 3, -6.

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  • 19. 

    By solving a x (a²)9 , the answer will be :

    • A15

    • A19

    • A18

    • A20

    Correct Answer
    A. A19
    Explanation
    By solving a x (a²)9, we can simplify the expression to a x a^18. This is because when we raise a number to a power, we multiply the base number by itself the number of times indicated by the exponent. In this case, we have a² raised to the power of 9, which means we multiply a by itself 9 times. Therefore, the correct answer is a^18, which is equivalent to a19.

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  • 20. 

    What is the value of y?             2(y + 5) = 3(y - 8)

    • -34

    • -14

    • 34

    • 14

    Correct Answer
    A. -34
    Explanation
    To find the value of y, we need to solve the equation. First, we distribute the 2 and 3 to the terms inside the parentheses, giving us 2y + 10 = 3y - 24. Next, we can subtract 2y from both sides to isolate the y term, resulting in 10 = y - 24. To solve for y, we add 24 to both sides, giving us 34 = y. Therefore, the value of y is 34.

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  • Current Version
  • Mar 05, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • Apr 27, 2020
    Quiz Created by
    Gs57463
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