A | math4u.vsb.cz

9000024403

Level:

Identify the value of a real parameter

a

such that the graph of the function

f (x) = | x - a | - 3

corresponds to the picture.

1

- 2

- 3

4

3

9000024104

Level:

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

5 x = \frac{2 + x}{5}

multiply by

5

multiply by

\frac{1}{5}

multiply by

\frac{1}{2}

multiply by

2

multiply by

\frac{1}{x}

, assuming

x \neq 0

multiply by

x

, assuming

x \neq 0

9000023909

Level:

Let

[x; y]

be the solution of the system

\begin{aligned} 2 x + 3 y & = 0, \\ 3 x + 2 y & = 5. \end{aligned}

In the following list identify a true statement.

- 3 \leq y \leq - 1

- 1 \leq x \leq 2

- 2 \leq x \leq 2

2 \leq y \leq 4

9000024406

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 = 2, b = 3

a = 2, b = - 3

a = - 3, b = 2

9000024107

Level:

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

8 x = \frac{x + 1}{4} + 1

multiply by

4

multiply by

\frac{1}{8}

multiply by

\frac{1}{4}

multiply by

(x + 1)

, assuming

x \neq - 1

subtract

(x + 1)

subtract

1

9000023910

Level:

Let

[x; y]

be the solution of the system

\begin{aligned} 3 x - y & = 1, \\ 2 x - y & = - 1. \end{aligned}

In the following list identify a true statement.

x

divides

6

x

divides

3

y

divides

4

y

divides

6

9000025805

Level:

In the following list identify a true statement on the function

f

f (x) = (x + 1) (x + 2) (x - 3)

f (x) < 0 ⟺ x \in (- \infty; - 2) \cup (- 1; 3)

f (x) < 0 ⟺ x \in (- \infty; - \frac{3}{2}) \cup (1; 3)

f (x) < 0 ⟺ x \in (- \infty; - \frac{3}{2}) \cup (3; \infty)

f (x) < 0 ⟺ x \in (- \frac{3}{2}; - 1) \cup (3; \infty)

9000024108

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

multiply by

12

multiply by

2

multiply by

3

multiply by

4

multiply by

24

multiply by

(2 x + 1) (x - 2) x

, assuming

x \notin {- \frac{1}{2}; 2; 0}

9000024404

Level:

Identify the value of a real parameter

b

such that the graph of the function

f (x) = | x - 0.25 | + b

corresponds to the picture.

0.5

- 0.5

0.75

- 0.75

0.25

9000024110

Level:

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

11 x - 2 = 2 - 4 x

add

(4 x + 2)

multiply by

\frac{1}{11}

multiply by

(- \frac{1}{4})

add

(- 11 x + 4 x)

subtract

(4 x + 2)

add

(4 x + 2)

A

9000024403

9000024104

9000023909

9000024406

9000024107

9000023910

9000025805

9000024108

9000024404

9000024110

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