## All Tasks

#### Equivalent equations

Select the equation equivalent to
3(x – 6) – 8 = 7x – 8

# Linear equations

Training

7

#### Algebraic language and transformations of linear equations

Six times the preceding of a number plus its double is equal to the opposite of the number consecutive to that number.

# Linear equations

# Terms with variables

Training

7

#### Solving linear equations (variables in numerator and denominator)

Solve the linear equation
$\frac{x+2}{2x+2}-\frac{1}{2}=\frac{x+4}{4x+4}$

# Linear equations

Training

7

#### The trip

Last Saturday John went for a trip. He traveled $\frac{3}{5}$ of the trip by train, $\frac{7}{8}$ of the remaining distance by car, and finally, he cycled the last 26 km. What was the total distance, in km, of the trip?

# Linear equations

Modeling

8

#### Find the terms of the function

Use the following function rule $f(x)=x^2$ to fill in the following blanks

# Quadratic functions

Reasoning

9

#### The formula of Quadratic function

Which of the following functions are quadratic?
$i. x+2y-3y²=5$
$ii. y=x^2+3x+2$
$iii. y+x^2=3χ+2$
$iv. y=3+2x^3+3x$
$v. y=χ²+3$
$vi. y=3(x-2)(x-3)$
$vii. xy=12$
$viii. y=-2(x-4)^2$
$ix. y-4=x^2+2x+\sqrt3$
$x. 3x^2+x-2=0$
$xi. 3-2y=0$

# Quadratic functions

Reasoning

9