Linear equations and inequalities

2010015406

Level:

Find the solution set of the following equation.

2 \sqrt{2} x - 5 = x \sqrt{3}

{2 \sqrt{2} + \sqrt{3}}

{2 \sqrt{2} - \sqrt{3}}

{\sqrt{2} + \sqrt{3}}

{\sqrt{2} - \sqrt{3}}

2010015407

Level:

Find the solution set of the following equation.

x \sqrt{5} - 2 \sqrt{10} x = - 35

{\sqrt{5} + 2 \sqrt{10}}

{\sqrt{5} - 2 \sqrt{10}}

{- \sqrt{5} + \sqrt{10}}

{\sqrt{5} - \sqrt{10}}

9000024101

Level:

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

3 x + 2 = - 5 x + 1

add

(5 x - 2)

multiply by

\frac{1}{3}

multiply by

- \frac{1}{5}

add

(- 3 x + 2)

add

(5 x + 1)

add

(3 x - 1)

9000024102

Level:

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

x + \frac{x}{6} = \frac{x}{15} + 1

multiply by

30

multiply by

6

multiply by

15

subtract

(1 + x)

subtract

(\frac{x}{6} + \frac{x}{15})

subtract

(\frac{x}{6} + 1)

9000024103

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 + 5}{9} - \frac{x}{6} = \frac{x - 2}{9} + \frac{x - 3}{9}

multiply by

18

multiply by

6

multiply by

9

multiply by

54

multiply by

\frac{1}{9}

multiply by

\frac{1}{18}

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

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

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}

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)

1003031102

Level:

The intended capacity of an IT course was filled by

20

people interested to attend. How many participants can check out without decreasing the course occupancy under

72 %

at most

5

at most

6

at most

15

at most

14

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Linear equations and inequalities

2010015406

2010015407

9000024101

9000024102

9000024103

9000024104

9000024107

9000024108

9000024110

1003031102

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