C | math4u.vsb.cz

1003032402

Level:

The polynomial

27 + x^{3}

is equal to a product:

(3 + x) (9 - 3 x + x^{2})

(3 + x)^{2} (3 - x)

(3 - x) (9 + 3 x + x^{2})

(3 + x)^{3}

1003187313

Level:

Which of the given sets contains exactly all negative integers that satisfy the inequality

\sqrt{(2 x - 8)^{2}} < 14

{- 2; - 1}

{- 3; - 2; - 1}

{- 10; - 9; - 8; - 7; - 6; - 5; - 4; - 3; - 2; - 1}

{- 4; - 3; - 2; - 1}

1003187305

Level:

Which of the given numbers are the solutions of the equation

\frac{| 2 x | - 4}{1 - | x |} + \frac{12}{7} = 0

- 8; 8

- \frac{8}{13}; \frac{8}{13}

- \frac{20}{13}; \frac{20}{13}

- 20; 20

1003187302

Level:

The equation

| | 2 x - 8 | - 4 | = 4

has:

three real solutions

one real solution

four real solutions

two real solutions

1003187206

Level:

How many

x

-intercepts does the graph of

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

have?

0

2

1

4

1003187205

Level:

Let

f (x) = | 3 | 2 x - 1 | - 9 |

. The number of argument values

x

for which

f (x) = 2

is:

4

2

3

1

1003187204

Level:

The solution set of the equation

\sqrt{x^{2} - 2 x + 1} - 2 | x + 3 | + x + 7 = 0

is:

{- 7} \cup [1; + \infty)

{- 7} \cup (1; + \infty)

[1; + \infty)

(1; + \infty)

1003187203

Level:

How many solutions does the equation

\sqrt{x^{2} - 4 x + 4} = | x |

have?

1

2

0

3

1003187202

Level:

Which of following equalities is true for all real numbers

x

\sqrt{(x - 3)^{2}} = | x - 3 |

| - x | = x

| x - 1 | = x - 1

\sqrt{x^{2}} = x

1003187410

Level:

How many integers are in the solution set of the given inequalities?

| \sqrt{17} - 2 x | \leq 5 and | 2 x - \sqrt{17} | \leq 5

5

4

6

7

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