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9000025601

Level:

Which of the quadratic equations from the following list has all solutions in the interval

[- 5; 3]

x^{2} - 2 x - 3 = 0

x^{2} - 3 x - 10 = 0

x^{2} - 2 x - 15 = 0

x^{2} - 3 x - 18 = 0

9000024505

Level:

Identify the value of a real parameter

b

such that the graph of the function

f (x) = | x + \frac{1}{2} | + b

corresponds to the picture.

- 1

- \frac{3}{2}

- \frac{1}{2}

\frac{1}{2}

1

9000025602

Level:

In the following list identify a set which contains at least one solution of the quadratic equation

x^{2} - 121 = 0

{- 11; 1; 13}

{- 5; 0; 5; 10}

{3; 7; 9; 19}

{- 15; - 12; - 7}

9000024506

Level:

Identify the value of real parameters

a

and

b

such that the graph of the function

f (x) = | x + a | + b

corresponds to the picture.

a = 2, b = - 3

a = 2, b = 3

a = 3, b = 2

a = - 3, b = - 2

9000025604

Level:

In the following list identify an equation which does not have solution in the set of real numbers.

8 x^{2} - x + 1 = 0

8 x^{2} + 8 x - 1 = 0

8 x^{2} - 8 x + 1 = 0

8 x^{2} - x - 1 = 0

9000024507

Level:

Identify the value of a real parameter

a

such that the graph of the function

f (x) = - | a - x | + 2

corresponds to the picture.

3

2

1

- 1

4

9000024105

Level:

Identify the optimal first step to solve the following equation. The operation is intended to be used on both sides of the equation.

\frac{4 + x}{x + 1} = \frac{x - 3}{x + 2}

multiply by

(x + 2) \cdot (x + 1)

, assuming

x \neq - 2

and

x \neq - 1

multiply by

(4 + x) \cdot (x - 3)

, assuming

x \neq - 4

and

x \neq 3

multiply by

(4 + x) \cdot (x + 1)

, assuming

x \neq - 4

and

x \neq - 1

multiply by

(x - 3) \cdot (x + 2)

, assuming

x \neq 3

and

x \neq - 2

multiply by

(x - 3)

, assuming

x \neq 3

multiply by

(4 + x)

, assuming

x \neq - 4

9000024408

Level:

Identify the values of real parameters

a

and

b

such that the graph of the function

f (x) = | x - a | + b

corresponds to the picture.

a = 3, b = - 2

a = - 3, b = 2

a = 2, b = - 3

a = - 2, b = 2

9000024106

Level:

Identify the optimal first step to solve the following equation. The operation is intended to be used on both sides of the equation. Assume

x \neq 1

and

x \neq 2

\frac{1}{x - 1} = \frac{2}{x - 2}

multiply by

(x - 1) \cdot (x - 2)

multiply by

(x - 1)

multiply by

(x - 2)

multiply by

(x + 1)

multiply by

(x + 2)

multiply by

(x - 1) \cdot (x + 2)

9000024508

Level:

Identify the value of real parameters

a

and

b

such that the graph of the function

f (x) = | x - a | + b

corresponds to the picture.

a = 2, b = - 2

a = - 2, b = 2

a = 2, b = 2

a = - 2, b = - 2

A

9000025601

9000024505

9000025602

9000024506

9000025604

9000024507

9000024105

9000024408

9000024106

9000024508

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