Final Exam( Math) G10
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The value of ‘x’ in 6x - 4 = 3x + 8 should be
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3
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6
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5
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4
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This Final Exam for Grade 10 focuses on algebraic concepts including solving equations, understanding inequality symbols, and manipulating algebraic expressions.
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- 2.
The symbol ≤ is used for :
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Less than
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Greater than
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Less than and equal to
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Greater than and equal to
Correct Answer
A. Less than and equal toExplanation
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.Rate this question:
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- 3.
A statement in which sign of equality “ = ” is used to link two algebraic expressions is called
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Formula
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Equation
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Fraction
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Matrix
Correct Answer
A. EquationExplanation
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.Rate this question:
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- 4.
The product of a²b4 and a³b5 is
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A10 b20
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A5 b9
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A4 b6
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A6 b7
Correct Answer
A. A5 b9Explanation
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.Rate this question:
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- 5.
The product of y7 and y³ is equal to :
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Y10
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Y21
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Y4
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Y²
Correct Answer
A. Y10Explanation
The product of y7 and y³ can be found by adding the exponents of y, which gives us y10.Rate this question:
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- 6.
By solving a x (a²)9 , the answer will be :
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A15
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A19
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A18
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A20
Correct Answer
A. A19Explanation
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.Rate this question:
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- 7.
The answer of following (a³b)4 is :
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A14 b5
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A8 b4
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A12 b4
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A10 b³
Correct Answer
A. A12 b4Explanation
The given expression (a³b)⁴ can be simplified by raising each term inside the parentheses to the power of 4. This means that a³ is raised to the power of 4, which gives us a^12, and b is raised to the power of 4, which gives us b^4. Therefore, the simplified expression is a^12 b^4, which matches the given answer a12 b4.Rate this question:
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- 8.
By solving the following (5a²b³)², the answer will be :
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25a5 b6
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25a4 b6
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25a7 b5
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25a³b4
Correct Answer
A. 25a4 b6Explanation
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.Rate this question:
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- 9.
The solution of x + 3 < 9 is :
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X > 4
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X < 6
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X < 5
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X = 6
Correct Answer
A. X < 6Explanation
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.Rate this question:
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- 10.
The solution of 4x - 2 > 6 is :
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X > 2
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X < 2
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X = 4
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X > 4
Correct Answer
A. X > 2Explanation
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.Rate this question:
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- 11.
The value of ‘x’ in √(x - 1) = 4 should be :
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23
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17
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19
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20
Correct Answer
A. 17Explanation
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.Rate this question:
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- 12.
By solving the (4x)³ , the answer will be :
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84x²
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64x²
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64x4
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64x³
Correct Answer
A. 64x³Explanation
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.Rate this question:
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- 13.
Determine which inequality matches the statement: A number is less than 4 :
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X ≤ 4
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X < 4
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X > 4
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X ≥ 4
Correct Answer
A. X < 4Explanation
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.Rate this question:
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- 14.
Determine the solution to the inequality 9x + 6 ≥ 11x
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X < 3
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X > 3
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x ≤ 3
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x ≥ 3
Correct Answer
A. x ≤ 3Explanation
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.Rate this question:
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- 15.
What is the value of y? 2(y + 5) = 3(y - 8)
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-34
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-14
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34
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14
Correct Answer
A. -34Explanation
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.Rate this question:
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- 16.
(8 ÷ 4) ÷ 2 = 8 ÷ (4 ÷ 2)
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True
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False
Correct Answer
A. FalseExplanation
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.Rate this question:
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- 17.
The solution to the following pair of simultaneous equations is: 9 x - 4 y = -14 4 x - 9 y = 1
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(2, 8)
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(-2, -1)
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(2, 1)
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(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.Rate this question:
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- 18.
The answer of these simultaneous equations is ( 1 , 2 )
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True
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False
Correct Answer
A. TrueExplanation
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.Rate this question:
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- 19.
What is the correct factorization of x2 + 13 x + 40
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( x -8) ( x -5 )
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( 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).Rate this question:
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- 20.
Find the roots: ( x + 6 ) ( x - 3 )
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3 , -6
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-3 , 6
Correct Answer
A. 3 , -6Explanation
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.Rate this question:
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Mar 05, 2025Quiz Edited by
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