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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.
Express the following phrase as an algebraic equation: The product of
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?
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
the player can run in a second.
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,
, for snorkeling for
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?
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.
In 2003, the population of a town was
, and the population
has been growing linearly by
people each year. Write an
equation for the population,
number of years after 2003.
Which of the following could be described by
Express the following sentence in algebraic form: The price increased by $6 is $35.
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?
Suppose a vehicle is traveling at
miles per hour.
Which equation describes the total distance
traveled by the vehicle,
in miles, after a period of
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?
A shop is having a sale. The table shows the regular price
and the sale
of various items. Which of the following can be used to calculate
the sale price?
is 14 more than three times
, which of the following must be true?
A car rental company charges
per hour. Write an equation to represent this scenario using
for the number of hours and
for the total cost.
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.
An animal shelter relies on donations to look after the cats and dogs. It costs
to care for a cat and
to care for a dog.
Let the number of cats at the shelter be
and the number of dogs be
Write an equation for the total daily cost in dollars,
, of looking after the cats and dogs.
Fady can drive 65 miles in 5 hours. Write an equation to find the number of miles,
, Fady can drive in
The sum of two numbers,
, is 17. What is the mathematical relation between
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.
Which of the following means “The difference between
and five times
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
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