54
Algebra
Test and assignment exercises 5
1. Using a calculator, evaluate 443, 0.442 and 32.53.
2. Write the following compactly using indices:
xxx
(a) xxxyyyyy (b)
(c) a2baab
yyyy
3. Evaluate the expression 4x3 yz2 when x = 2, y = 5 and z = 3.
4. The circumference C of a circle that has a radius of length r is given by the formula C = 2pr.
Find the circumference of the circle with radius 0.5 cm. Take p = 3.142.
5. Find (a) 212 - 162, (b) (21 - 16)2. Comment upon the result.
6. If x = 4 and y = -3, evaluate
(a) xy (b)
x
x2
x 2
(c) 2 (d) a b
y
y
y
7. Evaluate 2x(x + 4) when x = 7.
8. Evaluate 4x2 + 7 x when x = 9.
9. Evaluate 3x2 - 7x + 12 when x = -2.
10. Evaluate -x2 - 11x + 1 when x = -3.
11. The formula I = V>R is used by engineers. Find I when V = 10 and R = 0.01.
12. Given the formula A = 1>x, find A when (a) x = 1, (b) x = 2, (c) x = 3.
13. From the formula y = 1>(x2 + x) find y when (a) x = 1, (b) x = -1, (c) x = 3.
14. Find the value of (-1)n (a) when n is an even natural number and (b) when n is an odd natural
number. (A natural number is a positive whole number.)
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15. Find the value of (-1)n + 1 (a) when n is an even natural number and (b) when n is an odd natural
number.
16. Evaluate
(a) 22 + 3, (b) (2 + 3)2, (c) (22 + 3)2 (d) 2 * 32 (e) 4 - 2 * 32
17. Simplify the following:(a) (2t)2 - 2t2 (b) [9r2 - (3r)2 + 1]2 (c) x2[32 - 23]2
Croft, Anthony, et al. Foundation Maths 7th Edition PDF Ebook, Pearson Education, Limited, 2020. ProQuest Ebook Central,
M05 Foundation Maths 89687.indd 54
http://ebookcentral.proquest.com/lib/keeleuni/detail.action?docID=6009850.
Created from keeleuni on 2021-12-14 10:26:21.
11/12/2019 07:31