Constructing and Solving Equations

Write an equation for Zara puzzle given below:

I think of a number. I multiply it by $2$ then add $4$. The answer is $28$.

Also, solve your equation to find the values of the unknown numbers.

Write an equation for Marcus puzzle given below:

I think of a number and add $3$. Then answer is $22$.

Also, solve your equation to find the values of the unknown numbers.

Solve $2h+6=24$ and check your answer.

Solve $3p=24$ and check your answer.

Solve $m-4=12$ and check your answer.

The diagram shows the lengths of the equal sides of an isosceles triangle. For the given triangle, write an equation and solve it to find the value of $p$.

The diagram shows the lengths of the equal sides of an isosceles triangle. For the given triangle, write an equation and solve it to find the value of $p$.

The diagram shows the lengths of the equal sides of an isosceles triangle. For the given triangle, write an equation and solve it to find the value of $p$.

Solve the given equation and check your answer.

$29=4c-3$

Solve the given equation and check your answer.

$14=3c+2$

Solve the given equation and check your answer.

$4=2c-8$

Solve the given equation and check your answer.

$3a-2=13$

Solve the given equation and check your answer.

$4a+1=17$

Solve the equation when the unknown is on the right-hand side of the equation: $42=6y$

Solve the given equation and check your answer.

$2a+3=13$

Solve the equation when the unknown is on the right-hand side of the equation: $24=8y$

Solve the equation when the unknown is on the right-hand side of the equation: $25=y-3$

This is the part of Steffen's homework.

Question: Solve these equations.

$\left(a\right)x+7=-2, \left(b\right)x-6=-2, \left(c\right)5x=-35$

Solution:

$\left(a\right)x+7=-2$    $\left(b\right)x-6=-2$     $\left(c\right)5x=-35$

$\Rightarrow x=-2-7$     $\Rightarrow x=-2-6$     $\Rightarrow x=\frac{-35}{5}$

$\Rightarrow x=-5$            $\Rightarrow x=-8$                $\Rightarrow x=7$

If he has made any mistakes, explain the mistakes and work out the correct answers.

Solve the equation when the unknown is on the right-hand side of the equation: $13=y-5$

Solve the equation when the unknown is on the right-hand side of the equation: $9=y+2$