B | math4u.vsb.cz

2010004503

Level:

Solve the following inequality. \[ (5-2x)(7x+3) \geq 0 \]

\(x\in \left[ -\frac{3}{7}, \frac{5}{2} \right] \)

\(x\in \left[ -\frac{5}{2}, \frac{3}{7} \right] \)

\(x\in \left( -\infty, -\frac{3}{7} \right] \)

\(x\in \left( \frac{5}{2}, \infty \right) \)

2010004502

Level:

The quadratic equation \[ ax^{2} + bx -24 = 0 \] has solutions \(x_{1} = -2\) and \(x_{2} = 4\). Find the coefficients \(a\) and \(b\).

\(a = 3\), \(b = -6\)

\(a = -3\), \(b = -6\)

\(a = -3\), \(b = 6\)

\(a = 3\), \(b = 6\)

2010004501

Level:

One of the solutions of the quadratic equation \( x^{2} + 7x +c = 0\) is \(x_{1} = -3\). Find the second solution \(x_{2}\) and the value of the coefficient \(c\).

\(x_{2} = -4\) and \(c = 12\)

\(x_{2} = 4\) and \(c = -12\)

\(x_{2} = -4\) and \(c = -12\)

\(x_{2} = 4\) and \(c = 12\)

2010004412

Level:

Factor the expression: \( (8-b)(b-4) - (5b^2-20b)-(b-4)(b-6)\).

\( 7(b-4)(2-b) \)

\( 7(b-4)(b-2) \)

\( (b-4)(7b-2) \)

\( (4-b)(7b-2) \)

2010004411

Level:

Factor the expression: \( (4a-1)(2-a) - (12a^2-3a) -(a-3)(4a-1) \).

\( 5(4a-1)(1-a) \)

\( 5(4a-1)(a-1) \)

\( (4a-1)(5a+1) \)

\( (1-4a)(5a+1) \)

2010004410

Level:

Factor the expression: \( 8a^5b^3-24a^3b^2+18ab\).

\( 2ab(2a^2b-3)(2a^2b-3)\)

\( 2ab(2a^2b-3)(2a^2b+3)\)

\( 2ab(4a^2b-9)(4a^2b-9)\)

\( 2ab(4a^2b-9)(4a^2b+9)\)

2010004409

Level:

Factor the expression: \( 9x^4y^6 -12x^3y^4 +4x^2y^2\).

\( x^2y^2(3xy^2-2)(3xy^2-2)\)

\( x^2y^2(3xy^2+2)(3xy^2-2)\)

\( x^2y^2(9xy^2-4)(9xy^2-4)\)

\( x^2y^2(9xy^2+2)(9xy^2-4)\)

2010004408

Level:

Factor the expression: \(81a^4-64a^2-48a-9\).

\( (9a^2-8a-3)(9a^2+8a+3)\)

\( (9a^2-8a+3)(9a^2+8a+3)\)

\( (9a^2-8a-3)(9a^2+8a-3)\)

\( (9a^2-8a+3)(9a^2+8a-3)\)

2010004407

Level:

Factor the expression: \(49y^4-4y^2+20y-25\).

\( (7y^2-2y+5)(7y^2+2y-5)\)

\( (7y^2-2y-5)(7y^2+2y-5)\)

\( (7y^2-2y+5)(7y^2+2y+5)\)

\( (7y^2-2y-5)(7y^2+2y+5)\)

2000006705

Level:

Calculate the range of the function \(f(x)= \frac{-2} {2x-1} + 3\).

\((-\infty ,3)\cup (3,\infty )\)

\(\left(-\infty ,\frac12)\cup (\frac12,\infty \right)\)

\((-\infty ,-3)\cup (-3,\infty )\)

\((-\infty ,1)\cup (1,\infty )\)

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B

2010004503

2010004502

2010004501

2010004412

2010004411

2010004410

2010004409

2010004408

2010004407

2000006705

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