Download National 5 Mathematics Practice Unit Assessment Relationships 1.1

National 5 Mathematics
Practice Unit Assessment
Relationships 1.1
1) Write down the equation of the straight line which has a gradient of 4 and passes through
the point with coordinates (0, 2).
2) Write down the equation of the straight line which has a gradient of 8 and passes through
the point with coordinates (0, 12).
3) Write down the equation of the straight line which has a gradient of –6 and passes through
the point with coordinates (0, –9).
4) A straight line passes through the point with coordinates (3, 5) and has a gradient of 4. Write
down the equation of the line in the form y = mx + c.
5) A straight line passes through the point with coordinates (–2, 1) and has a gradient of 7.
Write down the equation of the line in the form y = mx + c.
6) A straight line passes through the point with coordinates (6, –4) and has a gradient of –3.
Write down the equation of the line in the form y = mx + c.
7) A straight line passes through the point with coordinates (–7 ,–8) and has a gradient of –6.
Write down the equation of the line in the form y = mx + c.
8) A straight line passes through the points with coordinates (2, 6) and (4, 10). Write down the
equations of the line in the form y = mx + c.
9) A straight line passes through the points with coordinates (–3, 2) and (1, 18). Write down
the equations of the line in the form y = mx + c.
10) A straight line passes through the points with coordinates (5, –2) and (2, –14). Write down
the equations of the line in the form y = mx + c.
11) Solve the following inequalities.
a) 3x + 7 < x + 13
b) 8x – 4 > 5x + 23
c) 4x – 2 ≥ 8x – 22
12) Solve the following equations.
a) 4(x + 8) = 28
b) 3(2x – 7) = 4x + 3
c) 4(2 – 3x) = 5(3x + 10)
13) Samantha believes the answer to the inequation 7x – 4 ≤ 2x – 19 is x ≤ 3. Is Samantha
correct? Justify your answer.
14) Solve the following systems of equations algebraically.
a) 2x + 3y = 13 and 2x + 7y = 25
c) 3x + 5y = 30 and 2x + 10y = 40
b) 4x – 2y = 8 and 2x + 9y = 44
d) 7x – 3y = 17 and 5x + 2y = 8
15) Rearrange the following formulae to make x the subject.
a) A = 5x – 3
b) B = 2x2 + 7
c) C = 4(x3 – 7)
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16) Eric is asked by his teacher to rearrange the formula V = π + 5 𝑞 to make q the subject
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and he says the answer is q = (5(V – π)) . What mistake has Eric made?
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