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In this lesson, we will learn how to read and write algebraic equations, clarify this concept through tables, and apply it in real-life situations and word problems.

Q1:

Express the following phrase as an algebraic equation: The product of π§ and β 4 is 48.

Q2:

Fady wants to buy a video game that costs $70. If Fady has $10, which of the following equations represents the amount of money he needs to buy the video game?

Q3:

If a football player can run 21 yards in 3.9 seconds, determine which of the following equations could be used to find the number of yards π¦ the player can run in a second.

Q4:

Given that it costs $12 for each hour of snorkeling and that the cost of the equipment is $11, determine the equation that represents the cost in dollars, π , for snorkeling for β hours.

Q5:

Nabil spent a total of 93 minutes this week working out. Which of the following equations represents the number of minutes Nabil spent doing sit-ups?

Q6:

The width of a bookshelf is 4 feet shorter than its height. Given that its width is 1.1 feet, write an equation that represents the height of the bookshelf.

Q7:

In 2003, the population of a town was 4 5 0 0 0 , and the population has been growing linearly by 1 7 0 0 people each year. Write an equation for the population, π ( π‘ ) , where π‘ is the number of years after 2003.

Q8:

Which of the following could be described by 6 4 + π₯ = 8 1 ?

Q9:

Express the following sentence in algebraic form: The price increased by $6 is $35.

Q10:

Adam drove 231 miles in 3.8 hours. Which of the following equations can you use to find the rate at which he was traveling?

Q11:

Suppose a vehicle is traveling at π miles per hour. Which equation describes the total distance π· traveled by the vehicle, in miles, after a period of 9 hours?

Q12:

The table shows the results of a survey which asked a group of students to pick their favourite music genre. If 288 students were surveyed, which equation can be used to find the number of students who chose Jazz?

Q13:

A shop is having a sale. The table shows the regular price π and the sale price π of various items. Which of the following can be used to calculate the sale price?

Q14:

If π₯ is 14 more than three times π¦ , which of the following must be true?

Q15:

A car rental company charges $ 1 5 per hour. Write an equation to represent this scenario using β for the number of hours and π‘ for the total cost.

Q16:

Rania bought 3 magazines for $28, $11 and $14 with a tax of $2. If she received $5 back as change, write a subtraction equation to determine how much money Rania gave the cashier, and then solve it.

Q17:

An animal shelter relies on donations to look after the cats and dogs. It costs $ π₯ to care for a cat and $ π¦ to care for a dog.

Let the number of cats at the shelter be π and the number of dogs be π .

Write an equation for the total daily cost in dollars, πΆ , of looking after the cats and dogs.

Q18:

Fady can drive 65 miles in 5 hours. Write an equation to find the number of miles, , Fady can drive in hours.

Q19:

The sum of two numbers, π₯ and π¦ , is 17. What is the mathematical relation between π₯ and π¦ ?

Q20:

A group of 8 friends want to buy a new couch for $492 with a tax of $44. Write a multiplication equation to determine the amount of money each person should pay if the amount is divided equally, and then solve it.

Q21:

Which of the following means βThe difference between π₯ and five times π¦ is 19β?

Q22:

Dina says that there is no number whose additive inverse is the same as its multiplicative inverse. Write down the equation that such a value of would have to satisfy.

(Hint: we may suppose that . Why?)

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