Ch.2 assi. 3( Advanced Math Domain - Polynomials,Radicals and Exponents ) Ms Eman Gamal

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Ch.2 assi. 3( Advanced Math Domain - Polynomials,Radicals and Exponents ) Ms Eman Gamal


Ch.2 assi. 3( Advanced Math Domain - Polynomials,Radicals and Exponents ) Ms Eman GamalVersión en línea Assignmnet contains 30 questions - Time allowed is 45 mins por Eman Gamal 1 If m = 2x³ + 3x - 11 and n = 4x² + 5x - 7, what is 3n - m in terms of x? a -2x³ - 4x² - 2x - 18 b -(2x³ + 3x² - 5x - 6) c 2x³ - 12x² - 12x + 10 d -2x³ + 12x² + 12x - 10 2 If the expression below is written in the form of ax² + bx + c, what is the value of a + b + c? 2(2x² - 7.5x + 3) - (-4x² + 2x - 7) Written answer 3 What are all of the values that satisfy the quadratic equation below? 3x² + 3x - 36 = 0 a x = -3 and x = 4 b x = -4 and x = 3 c x = 3 and x = 4 d x = -3 and x = -4 4 Which of the following is equivalent to the expression below? -4xy² - 2xy + xy - 8mn + mn a -5x³y³ - 8m²n² b -5x³y - 7m²n² c 32y - 8 d -4xy² - xy - 7mn 5 Which of the following is equivalent to 1/(x + 4) + 1/(x + 6)? a x² + 10x + 24 b 1/(x + 12) c (x² + 10x + 24)/(2x + 10) d (x + 4)/(x + 6) 6 For what value of x is the function f undefined in the equation below? f(x) = 1/[2(x - 3)² + 4(x - 3) + 2] Written answer 7 If m² - 6m + 8 = 0, what is one possible value of 1/m? Written answer 8 Which of the following is equivalent to the expression below? (-4x³y - xy³ + 4x) - (7x - 4xy³ + 2x²) a -4x³y + 3xy³ - 2x² - 3x b 6x³y³ - 3x c -4x³y + 3xy³ + 2x² - 11x d -9x³y³ + 3x 9 If x² + y² = 12 and xy = -13, what is the value of 2(x - y)²? a -26 b 1 c 38 d 76 10 If m^(x²)/m^(y²) = m³⁶, m > 1, and x + y = 9, what is the value of x - y? a 4 b 6 c 9 d 16 11 What are the restrictions in the fraction below? 1/(x² - 7x - 98) a x ≠ -12 and x ≠ 8 b x ≠ 12 and x ≠ 8 c x ≠ 14 and x ≠ -7 d x ≠ -14 and x ≠ 7 12 If f(x) = 3(x + 4)², what is the value of f(-2)? a 4 b 12 c 24 d 36 13 What are the values of x in the equation below? 1/x + 2/(x - 3) = 6 a 7, -2 b -7, 2 c 7 ± √41 d 2 ± √33 14 Which of the following completely factors x⁴ - 81? a (x² - 9)(x² + 9) b (x + 3)(x - 3)(x² - 9) c (x + 3)²(x - 3)² d (x + 3)(x - 3)(x² + 9) 15 Which expression is equivalent to 3x² - (5x² - 9x²)? a 7x² b 2x² c -x² d -11x² 16 What is the perimeter of a rectangle with a length that measures 7x² + 5x - 3 and a width that measures 2x² + 5? a 4x² + 15x - 9 b 9x² + 5x - 3 c x² + 2x - 5 d 18x² + 10x + 4 17 A rectangle has an area that measures 36 in.² and has a length and width that measure x + 6 and x - 3, respectively. What is the perimeter of the rectangle? a 24 inches b 30 inches c 36 inches d 42 inches 18 How many real zeros are there in the equation f(x) = x² + 2x + 8? a 0 b 1 c 2 d 3 19 Which answer choice expresses the fraction below in simplest form? [(x² - 5x + 6)(x² - 9)]/(x² - 6x + 8) a (x² - 5x + 6)/(x - 4) b [(x + 3)²(x - 3)]/(x - 2) c [(x - 3)²(x + 3)]/(x - 4) d 1 20 What polynomial must be subtracted from 5x² - 9x + 3 to get -2x² - 13x + 5? a 12x² + 12x - 4 b 12x² + 13x + 1 c 3x² - 22x + 8 d 7x² + 4x - 2 21 If a^3/2= 64, what is the value of √a? a 2 b 2√2 c 4 d 8 22 Which of the following is equal to (m^1/3)²? a √(1/m⁶) b ∛(m²) c √(3^m) d m√m 23 In the equation below, what is the value of x? 2x^(2/3) = 6^(1/2) a 27 b (27)⁴ c (8)¹ d 16²⁷ 24 Which of the following is equivalent to 25 raised to power of 3/4 ? a 25 b 5√5 c 5√25 d 37.5 25 The square root of x varies inversely with y. When x = 196, y = -1/2. What is the value of x when y = -3? a 3 b 49/9 c 9/49 d 9 26 For what real value of x is the equation below true? x³ - 6x² + 2x - 12 = 0 Written answer 27 If r = 3√3, and 2r = √(3x), what is the value of x? Written answer 28 If 12x - 3y = 5, what is the value of 16^(3x)/8^y? a 4 b 16 c 32 d 64 29 Given the equation below, what is the value of 2x + 11? (1/3)^(x - 2) = (27)^(3 - x) Written answer 30 If y/x⁴ = 81 for positive integers x and y, what is one possible value of y? Written answer

Ch.2 assi. 3( Advanced Math Domain - Polynomials,Radicals and Exponents ) Ms Eman Gamal

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Ch.2 assi. 3( Advanced Math Domain - Polynomials,Radicals and Exponents ) Ms Eman GamalVersión en línea

por Eman Gamal

If m = 2x³ + 3x - 11 and n = 4x² + 5x - 7, what is 3n - m in terms of x?

If the expression below is written in the form of ax² + bx + c, what is the value of a + b + c? 2(2x² - 7.5x + 3) - (-4x² + 2x - 7)

What are all of the values that satisfy the quadratic equation below? 3x² + 3x - 36 = 0

Which of the following is equivalent to the expression below? -4xy² - 2xy + xy - 8mn + mn

Which of the following is equivalent to 1/(x + 4) + 1/(x + 6)?

For what value of x is the function f undefined in the equation below? f(x) = 1/[2(x - 3)² + 4(x - 3) + 2]

If m² - 6m + 8 = 0, what is one possible value of 1/m?

Which of the following is equivalent to the expression below? (-4x³y - xy³ + 4x) - (7x - 4xy³ + 2x²)

If x² + y² = 12 and xy = -13, what is the value of 2(x - y)²?

If m^(x²)/m^(y²) = m³⁶, m > 1, and x + y = 9, what is the value of x - y?

What are the restrictions in the fraction below? 1/(x² - 7x - 98)

If f(x) = 3(x + 4)², what is the value of f(-2)?

What are the values of x in the equation below? 1/x + 2/(x - 3) = 6

Which of the following completely factors x⁴ - 81?

Which expression is equivalent to 3x² - (5x² - 9x²)?

What is the perimeter of a rectangle with a length that measures 7x² + 5x - 3 and a width that measures 2x² + 5?

A rectangle has an area that measures 36 in.² and has a length and width that measure x + 6 and x - 3, respectively. What is the perimeter of the rectangle?

How many real zeros are there in the equation f(x) = x² + 2x + 8?

Which answer choice expresses the fraction below in simplest form? [(x² - 5x + 6)(x² - 9)]/(x² - 6x + 8)

What polynomial must be subtracted from 5x² - 9x + 3 to get -2x² - 13x + 5?

If a^3/2= 64, what is the value of √a?

Which of the following is equal to (m^1/3)²?

In the equation below, what is the value of x? 2x^(2/3) = 6^(1/2)

Which of the following is equivalent to 25 raised to power of 3/4 ?

The square root of x varies inversely with y. When x = 196, y = -1/2. What is the value of x when y = -3?

For what real value of x is the equation below true? x³ - 6x² + 2x - 12 = 0

If r = 3√3, and 2r = √(3x), what is the value of x?

If 12x - 3y = 5, what is the value of 16^(3x)/8^y?

Given the equation below, what is the value of 2x + 11? (1/3)^(x - 2) = (27)^(3 - x)

If y/x⁴ = 81 for positive integers x and y, what is one possible value of y?