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In this lesson, we will learn how to solve two-step equations.

Q1:

Find the solution set of 3 π₯ β 9 = β 6 in β .

Q2:

Solve the equation β 6 π₯ β 1 = β 2 3 .

Q3:

Given that 8 π₯ β 9 = 2 3 , find the value of π₯ 2 .

Q4:

I think of a number, multiply it by 2 and subtract 1 from the answer. The result is 9. What is my number?

Q5:

Find the value of π₯ for which 5 π₯ + 4 = β 5 .

Q6:

It took Dalia and Bassem 155 minutes to clean their flat. Given that Dalia cleaned for 85 minutes longer than Bassem, write an equation to express the amount of time ( π ) that Dalia spent cleaning. Then solve the equation.

Q7:

Find the solution set of the equation 3 π₯ β 2 0 = | β 1 7 | in β .

Q8:

If 4 7 β 2 π₯ = 2 7 , what is the value of π₯ ?

Q9:

Find the solution set of the equation β 4 π₯ + 3 = 4 .

Q10:

Which of the following equations has a solution set of { β 2 } ?

Q11:

Which of the following equations is equivalent to 3 π¦ β 1 = 5 ?

Q12:

Answer the following questions using the given diagram.

Form an equation that will allow you to calculate π₯ .

Find the value of π₯ .

Q13:

Find the solution set of π₯ 4 β 3 = β 5 in β€ .

Q14:

Solve 8 π β 3 β 2 π = 2 1 .

Q15:

Bassem has a collection of 51 stamps. When he was moving, he put the same number of stamps in each of the first 8 albums and 3 stamps in the last album. Find the number of stamps in each of the first eight folders by solving the equation 8 π₯ + 3 = 5 1 , where π₯ is the number of stamps.

Q16:

Fady has 34 marbles. He has the same number of red, yellow, and blue marbles, as well as 7 multicolored marbles. Determine the number of yellow marbles he has by solving for .

Q17:

Solve 7 ( π¦ β 2 ) = β 2 8 .

Q18:

Find the solution set of 8 π₯ β 8 = 1 6 in β€ .

Q19:

Write an equation to describe the following: nine more than the quotient of a number with 6 is 32.

Q20:

In the given diagram, π΄ π΅ is a straight line. Answer the following questions.

Q21:

Write an equation to find a number, where fifty less than eight times that number is three times the same number, and then solve it.

Q22:

A cleaning session for a pool in a gym lasts for 35 minutes on weekdays and 45 minutes on weekends. Suppose the time it took to clean the pool last week was 5 hours altogether. Write an equation to represent this information, and then solve it to determine how many weekday cleaning sessions there were.

Q23:

A number is tripled and 7 is subtracted from the result. If the answer is 17, what is the number?

Q24:

Maged wants to join a gym in his neighborhood. It costs $20 for the first subscription plus a monthly fee of $12. If Maged has $152 to spend, write and solve an equation to find the number of months he can use the gym.

Q25:

Write an equation to describe the following: Negative forty-two is two less than four times a number.

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