Patterns And Relations Worksheet - Grade 7 Page 34

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Write an equation for each sentence.
3.
a) Six times the number of people in the room is 258.
b) One-half the number of students in the band is 21.
2
c) The area of a rectangle with base 6 cm and height h centimetres is 36 cm
.
The perimeter of a square is 156 cm.
4.
Recall that perimeter
Write an equation you could use to find
s
is the distance around
a shape.
the side length of the square.
The side length of a regular hexagon is 9 cm.
5.
Write an equation you could use to find the
perimeter of the hexagon.
Match each equation with the correct sentence.
6.
a) n
4
8
A. Four less than a number is 8.
b) 4n
8
B. Four more than four times a number is 8.
c) n
4
8
C. The sum of four and a number is 8.
d) 4
4n
8
D. The product of four and a number is 8.
Alonso thinks of a number.
7.
He divides the number by 4, then adds 10.
The answer is 14.
Write an equation for the problem.
Assessment Focus
8.
a) Write an equation for each sentence.
i) Five times the number of students is 295.
ii) The area of a rectangle with base 7 cm and
2
height h centimetres is 28 cm
.
iii) The cost of 2 tickets at x dollars each and
5 tickets at $4 each is $44.
iv) Bhavin’s age 7 years from now will be 20 years old.
b) Which equation was the most difficult to write? Why?
c) Write your own sentence, then write it as an equation.
Give an example of an algebraic expression and of an equation.
How are they similar? How are they different?
37
1.7 Reading and Writing Equations

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