Mark / 75 %

[5]1) Find the whole amount of a quantity given the following information

a) 1% of a quantity is 1 b) 5% of a quantity is 5

c) 2% of a quantity is 6 d) 50% of a quantity is 200

e) 50% of a quantity is 200

[6]2) Find the original amount of a quantity given the following information:

a) a 20% increase gives a final amount of 480 b) a 25% increase gives a final amount of 625

c) a 50% decrease gives a final amount of 200 d) a 50% increase gives a final amount of 300

e) a 25% increase gives a final amount of 375 f) a 5% decrease gives a final amount of 285

3) Find the final amount when £430 is invested at 9% compound interest perannum for 4 years.

[1]

4) Find the final amount when £190 is invested at 7% compound interest perannum for 3 years.

[1]

5) Find the final amount when £420 is invested at 7% compound interest perannum for 4 years.

[1]

6) Find the final amount when £460 is invested at 10% compound interest perannum for 5 years.

[1]

7) Find the final amount when £280 is invested at 6% compound interest perannum for 3 years.

[1]

8) Find the final amount when £370 is invested at 7% compound interest perannum for 2 years.

[1]

9) Find the final amount when £480 is invested at 7% compound interest perannum for 4 years.

[1]

10) Find the final amount when £390 is invested at 5% compound interest perannum for 5 years.

[1]

[18]11) Simplify the expression

a) b)

c) d)

e) f)

g) h)

i) j)

k) l)

m) n)

o) p)

I1 PracticeName: Class: Date:

−8y − 11c − 10c − 8y − 9y 7 + 12 − 9 − b + 6b

−9y − 7y − 4a − 8a + 9y −12 + 11 − 4b − 8 + b

9a + 2a + 6 − 6a − 10 −10 + 6z − 3 − 6z + 6z

−12 + 7a + 5a + 3 + 3a z − z − 2z + 6x − 3x

−11 − 3x + 2x + 9 − 8x −4c + 11c − 2 + 10c + 5

−5x − 10x + 5 + 10x +a2 a2 8y + 4 + 5y + 8 + 11yc2 c2

−8 + 6 + 12x − 9x + 6z2 z2 z2 −12 + 5 − 8 − 4b − by2 y2 y2

−8c − 10 − 2c + 2 − 2ca2 a2 3 + 9 + 9z − 8 − 7zx2 x2 x2

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q) r)

[10]12) Solve the equation

a) b)

c) d)

e) f)

g) h)

i) j)

[7]13) Solve the following algebraic fraction

a) b)

c) d)

e) f)

g)

[6]14) Draw the following inequality on the number line below

a)

0 1 2 3-1-2-3-4-5-6-7-8-9

b)

0 1 2-1-2-3-4-5-6-7-8

c)

0 1 2 3 4 5 6-1-2-3-4-5-6

d)

0 1 2 3 4-1-2-3-4-5-6-7-8

e)

0 1 2 3 4 5 6 7 8 9-1-2-3

f)

0 1 2 3 4 5 6 7-1-2-3-4-5

[6]15) Write down the inequalities represented by the number line

a)

0 1 2-1-2-3-4-5-6-7-8

b)

0 1 2 3 4 5 6-1-2-3-4-5-6-7-8

c)

0 1 2-1-2-3

d)

0 1 2 3 4 5 6-1-2-3-4-5-6

e)

0 1 2 3-1-2-3-4-5-6-7-8

f)

1 2 3 4 5 6

2 − 9 − 7 + 7 + 4y2 y2 y2 2b − 9 + 12b + 9b − 8x2 x2

−59 = −3 + 7b −25 = −4 + 3z

−39 = 5z − 4 −21 = 4b − 1

−29 = −5 + 6z −8 + 3z = −20

−17 = 4y − 5 −11 = 2b − 7

−44 = 9z − 8 9z − 8 = −26

−17 = −9 +4y

3− 9 = −73

8x

7

−5 + = −416y

5−45 = −3 +

7z

8

−25 = −9 +4b

5− 7 = −47

4z

7

−32 = − 75x

2

x ≥ −1 −5 < x ≤ −3

x ≤ 0 x > −1

x < 1 x ≥ 0

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[9]16) Solve the following inequality

a) b)

c) d)

e) f)

g) h)

i)

5y − 8 ≤ −3 3z + 2 < 5

5x − 7 ≤ 8 7y − 8 ≤ −1

7y + 8 ≤ 1 4y − 5 ≤ 7

7x − 3 > 4 3y + 8 > −4

4y + 1 < 5

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Solutions for the assessment I1 Practice

1) a) 100 b) 100

c) 300 d) 400

e) 400

2) a) 400 b) 500

c) 400 d) 200

e) 300 f) 300

3) £606.98 4) £232.76

5) £550.53 6) £740.83

7) £333.48 8) £423.61

9) £629.18 10) £497.75

11) a) b)

c) d)

e) f)

g) h)

i) j)

k) l)

m) n)

o) p)

q) r)

12) a) -8 b) -7

c) -7 d) -5

e) -4 f) -4

g) -3 h) -2

i) -4 j) -2

13) a) -6 b) -56

c) -30 d) -48

e) -20 f) -70

g) -10

14) a) 0 1 2 3-1-2-3-4-5-6-7-8-9

−25y − 21c 10 + 5b

−7y − 12a −9 − 3b

5a − 4 6z − 13

15a − 9 −2z + 3x

−9x − 2 17c + 3

−5x + 6a2 24y + 12c2

4 + 3xz2 −15 − 5by2

−12c − 8a2 4 + 2zx2

−14 + 11y2 23b − 17x2

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b) 0 1 2-1-2-3-4-5-6-7-8

c) 0 1 2 3 4 5 6-1-2-3-4-5-6

d) 0 1 2 3 4-1-2-3-4-5-6-7-8

e) 0 1 2 3 4 5 6 7 8 9-1-2-3

f) 0 1 2 3 4 5 6 7-1-2-3-4-5

15) a) b)

c) d)

e) f)

16) a) b)

c) d)

e) f)

g) h)

i)

x ≤ −6, x > 0 x < −6, x ≥ 4

x < −1, x ≥ 0 x ≤ −4, x > 4

x < −6, x > 1 x ≤ 3, x ≥ 4

y ≤ 1 z < 1

x ≤ 3 y ≤ 1

y ≤ −1 y ≤ 3

x > 1 y > −4

y < 1

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