Worksheet
1
For each of the following statements:
i
Write it as an equation.
ii
State whether the equation is linear.
a
y is equal to 7 less than 2 groups of x
b
y equals x divided by 2 plus 8
c
y equals - 1 divided by x plus 6
d
y plus the quotient of x and the square of - 4 is equal to 14
2
State whether the following equations are linear:
a
y = x^{10} + 5 x + 26
b
y = \dfrac{11}{2} - 9 x
c
y + 26 x - \dfrac{11}{2} = 10
d
y + x^{6} + 20 x + 16 = \dfrac{21}{2}
e
y = - 2 x^{\frac{21}{2}} - 2
f
y = 16+ \dfrac{20}{x}
g
3 - 3 = 0
h
9 x^{2} + 3 = 0
3
State whether the graphs sketched below are linear:
a
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
b
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
c
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
d
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
e
-8
-6
-4
-2
2
4
6
8
x
-8
-6
-4
-2
2
4
6
8
y
4
State whether the following tables of values represent a linear relationship:
a
| x | 3 | 6 | 9 | 12 | 15 |
|---|---|---|---|---|---|
| y | -7 | -14 | -21 | -28 | -35 |
b
| x | 7 | 21 | 35 | 49 | 63 |
|---|---|---|---|---|---|
| y | \dfrac{15}{2} | 15 | \dfrac{45}{2} | 45 | \dfrac{135}{2} |
c
| x | 21 | 42 | 63 | 84 | 105 |
|---|---|---|---|---|---|
| y | \dfrac{11}{2} | \dfrac{55}{2} | \dfrac{77}{2} | 55 | 66 |
d
| x | 5 | 10 | 25 | 30 | 50 |
|---|---|---|---|---|---|
| y | 11 | 22 | 55 | 66 | 110 |
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