Download WorkSHEET 11.1 Linear equations Name

WorkSHEET 11.1 Linear equations
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Name: ___________________________
(a)
Find the missing numbers for the
flowchart.
Answers:
(a)
(b)
Find the missing numbers for the
flowchart.
(b)
Are the following true or false?
(a)
Answers:
(a)
False
(b)
(b)
True
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Find the output number expressions for the
following flowcharts.
(a)
Answers:
(a)
(b)
(b)
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WorkSHEET 11.1 Linear equations
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Draw flowcharts whose output numbers are
given by the following expressions.
(a) 4n + 6
(b)
5
7
(b)
What order of operations is needed to obtain
the following output expressions?
x
(a)
4
9
Answers:
(a) Divide by 9, then subtract 4
2x  3
7
(b)
(a)
Write the equation which is represented
by the diagram.
Answers:
(a) 2x + 2 = 4
(b)
Write down the new equation when you
subtract 1 from both sides.
(b)
(a)
Which equation is represented by the
diagram below?
Answers:
(a) 3x + 1 = 5
(b)
Write down the new equation when you
double the amount on each side.
(b)
(b)
6
2y  7
3
Answers:
(a)
Multiply by 2, then subtract 3, then
divide by 7
2x + 2  1 = 4  1
2x + 1 = 3
2  (3x + 1) = 2  5
6x + 2 = 10
© John Wiley & Sons Australia, Ltd
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WorkSHEET 11.1 Linear equations
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Starting with the equation p = 4, which new
equation do you get when you:
(a) subtract 3 from both sides
(b)
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divide both sides by 5?
Answers:
(a)
p=4
p3=43
p3=1
(b)
p=4
4
p
=
5
5
If you start with x = 2, then which of these
equations is not true?
A
2x = 4
x
B
=1
2
C
x  5 = 3
D
x+3=4
E
5x = 10
Answer:
Joanna is t years old. Compared with Joanna,
Betty is 6 years older, but Mary is 2 years
younger. What is the total of their ages?
Answer:
Joanna = t
Betty = t + 6
Mary = t  2
x=2
x+3=2+3
x+3=5
D
Total = t + t + 6 + t  2
Total = 3t + 4
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