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Equations – Word Problems
Math 9
Lesson 3
Name ____________
1. Use the variable x. Write an equation.
a) A number reduced by 5 is 11.
b) A number multiplied by 9 is 15.
c) When a number is divided by 3, the result is 17.
d) Ten less than a number is the same as 14.
e) Twelve is 4 more than three times the number.
f) The sum of two consecutive numbers is 15.
2. Let the unknown be represented by b. Translate into an equation.
a)
b)
c)
d)
e)
f)
Five more than three times the number is 10.
The number reduced by two, then multiplied by 9, gives 3.
Four less than three times the goals scored, gives 41.
Sal’s age increased by 5, then divided by 3, gives 17.
The sum of three consecutive numbers is 84.
The sum of three consecutive odd numbers is -96.
3. Translate the equation into words.
a) n + 8 = 21 b) n – 5 = 12 c) 2n + 1 = 10
f) n + 3n = 11.2
g)
2n
1  3
5
d)
n
 16 e) 2(n + 3) = 17
3
h) 11 = 1 – 4n
4. Choose a variable and write an equation.
a) The perimeter of a square is 46 cm.
b) June is four years older than Tara. The sum of their ages is 22.
c) The value of a pile of nickels is $1.90.
5. Write an equation for the information.
a) A video cassette recorder costs 2.5 times as much as a television stand.
Together they cost $1050.
b) A play was attended by 350 people. There were twice as many women as
men, and ten more children than men.
c) In a 24 hour endurance race Jacques drove 3 hours more than Enzo, and
Beatrice drove twice as long as Enzo.
d) Jasmin can lift 10 kg less than Carmelle. Marny can lift three times as
many kilograms as Carmelle. The girls can lift a total of 165 kg.
6. Write the equation. Find the length of each side.
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c) ( scan Pic)
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