Page 73 - Math Smart - 7

o Solve for x. Then check your answers by substituting your answers into the equation to see
if it is correct.
a) X + 3 + 4x = 33 b) 3x + 4 + 2x + 1 = 45
c) X - 3 - 7x + 5 = 10 d) 20 = 2x - 4 +
X
Write down an equation to represent each problem. Then solve each equation.
a) I think of a number and multiply it by 3. 1 then add 5.
The answer is 17. What is the number?
b) I think of a number and multiply it by 12. 1 then subtract 7.
The answer is 77. What is the number?
c) I think of a number and subtract 6 from it. The answer is 15.
What is the number?
d) I think of a number. The product of this number and 15 is 30. What is the number?
e) Paul has some sweets. Jane has 5 sweets. Together they have 19 sweets. How many
sweets does Paul have?
f) There are 28 pupils In a class, 15 of them are girls. How many boys are there in the class?
g) The sum of two numbers is 30. One number is 14. What is the other number?

o Solve the equations.
8
a) 14 = 2(x-8) b) 3(x + 1) =
c) 0 = 4(;3x-2) d) 5 + 3(x-2) = 23
e) 67 = 3 (4x - 3) - 8x f) 3(x + 4) + 2(x - 5) = 32

Write down equations and solve them to find the unknown quantity in each problem.
a) The length of wire fencing needed to enclose a rectangular
vegetable garden is 13 m. The length of the garden is 4 m.
Remember that
Find the value of w, the width of the garden.
the perimeter of
b) The perimeter of a square floor tile is 84 cm. The length of the floor
a shape is the sum
tile is X cm. Write an equation for the perimeter of the tile and
of all its sides.
use the equation to find the length of the floor tile.
c) The perimeter of a rectangle is 30 cm. Its length is twice its breadth.
If the breadth is x cm, find the value of x.
d) Hannah and her 4 friends share a bag of 17 sweets. There are 2 sweets left over.
If each person receives x sweets, write an equation for the total number of sweets in the
bag. Use the equation to work out how many sweets each person receives.
k.

e