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OXFORD New Syllabus Mathematics Book 2 7th Edition Teh Keng Seng, Loh Cheng Yee, Joseph Yeo, Ivy Chow - Solutions
Factorise each of the following expressions completely.(a) 2(x + 1) + a(1 + x)(b) 9(x + 2) - b(x + 2)(c) 3c(2x - 3) - 6d(2x - 3)(d) 7h(4 - x) - (x - 4)
Factorise each of the following expressions completely.(a) a(2x + 3) + 2(3 + 2x)(b) 2b(5x + 2) - (5x + 2)(c) 3c(x - y) - 3d(x - y)(d) h(x - 2) + k(2 - x)
Factorise each of the following expressions completely.(a) 4 * (x - 1) ^ 2 - 81 * (x + 1) ^ 2(b) 16x ^ 2 + 8x + 1 - 9x ^ 2(c) 4y ^ 2 - y ^ 2 + 4y - 4(d) 13x ^ 2 + 26xy + 13x ^ 2 - 13
Factorise each of the following expressions completely. (a) 3a+12a+12 (c) 1943 d + (b) 25h+5hc+ 35df + 25 (d) h + 2h'k + k 1
The surface area of each face of a cube is (x ^ 2 + 4x + 4) * c * m ^ 2 Find(i) the length,(ii) the volume, of the cube.
Without using a calculator, evaluate each of the following.(a) 59-41(b) 7.72 - 2.32
Factorise each of the following expressions completely. (a) (a+3)-9 (c) c - (d+2) (e) 25m (n-1) (b) 16-25(b+3) (d) (2h-1)-4k (f) (+)-(p-1)
Factorise each of the following expressions completely. (c) (a) 32a-98/ 9h2 (b) c 22. 100 -16k 4. (d) m - 64n
Factorise each of the following expressions completely. (a) 36m-48mm+16m (b) (b)+ (c) 16r-rs+ (d) 25 10+ 1 64
Factorise each of the following expressions completely. (a) x-144 (c) 225-49u (b) 361-25 (d) 492-81
Factorise each of the following expressions completely. (a) m (c) 81 - 10m+25 180p+ 100p (b) 169 52n +4 (d) 49q-42qr+9
Factorise each of the following expressions completely. (a) a + 14a+49 (c) c+2cd+f (b) 4b+4b+1 (d) 4h+20hk + 25k
Without using a calculator, evaluate 103 -9.
Factorise the expression 4 * (x + 1) ^ 2 - 49 completely.
Factorise the expression 4x ^ 2 - 9/25 * x ^ 2 completely.
1. Factorise each of the following expressions completely.(a) 36x ^ 2 - 121y ^ 2(b) - 4x ^ 2 + 81
Factorise each of the following expressions completely.(a) 4-25(b) 8-18
Factorise each of the following expressions completely.(a) 49 - 84x + 36x ^ 2(b) 9x30xy+25
Factorise the expression 4x ^ 2 + 2x + 1/4 completely.
Factorise each of the following expressions completely.(a) x ^ 2 + 12x + 36(b) 4x ^ 2 + 20x + 25
(i) Expand and simplify the expression (nan+al.(ii) Hence, hy substituting a suitable value of n and ofa. tind the value of 16 947-16 944 x 16 950.
(i) Expand and simplify the expression (p - 2q) ^ 2 - p(p - 4q)(ii) Hence, by substituting a suitable value of p and of q, find the value of 5310-5330 x 5290,
Expand the expression
If 2x2 -2y2 = 125 and x - x = 2.5 find the value of
x ^ 2 + y ^ 2 = 14 and Lambda*X = 5 find the value of
Expand and simplify each of the following expressions.(a) 4 * (x + 3) ^ 2 - 3(x + 4)(x - 4)(b) (0.5x - 7v)(0.5v + 7v) - 2 * (v - 2v) ^ 2
If x + y = 10 and x - y = 4 find the value of r
If x ^ 2 + y ^ 2 = 80 and x_{1} = 12 find the value of (x-vf.
Without using a calculator, evaluate each of the following.(a) 1203(b) 892(c) 1998 x 2002
Expand each of the following expressions. (a) (6p+5)(5-6p) (c) 2 2 4 (b) (9-3)(9r+39) (d) (+2)(-2) (u+4)
Expand each of the following expressions. (a) h 5k (b) m 311
Expand each of the following expressions. (a) 0 (3a + 3b) (b)
Expand each of the following expressions. (a) (x-5)(s+5) (c) (7+2u)(7-2) (b) (21+11)(21-11) (d) (w 10x)(w + 10x)
Expand each of the following expressions. (a) (m-9) (c) (9-5p) (b) (5n-4) (d) (3q-8r)
Expand each of the following expressions. (a) (+4) (c) (c+ 4d) (b) (3b+ 2) (d) (9h + 2k)
Expand each of the following expressions.. (a) (x + 3)2 (b) (21 + 7)2
Factorise each of the following expressions completely. (a)+2x-15 (c) 41-221 +24 (b) 12-17xy-40 (d) 2x+-2
Expand each of the following expressions.(a) (2x - 3y)(x + 5y - 2)(b) (v + 4)(v ^ 2 - 5x + 7)(c) (x - 1)(x ^ 2 + 2x - 1)(d) (3x ^ 2 - 3x + 4)(3 - x)
Expand and simplify each of the following expressions.(a) (8x - y)(x + 3y) - (4x + y)(9x - 2v)(b) (10x + y)(3x + 2y) - (5x - 4y)(- x - 6v)
Find the product of ry and 16 4 5
Expand each of the following expressions.(a) (a + 3b)(a - b)(b) (3c + 7d)(c - 2d)(c) (3k - 5h)(- h - 7k)(d) (7m ^ 2 + 2)(m - 4)
Expand and simplify each of the following expressions.(a) a(5b +c) - 2a(3c - b)(b) - 2 * d(4f - 5h) - f(3d + 7h)(c) 4k(3k + m) - 3k(2k - 5m)(d) 2n(p - 2n) - 4n(n - 2p)
Expand each of the following expressions.(a) - 3xy(x - 2y)(c) - 13 * v' * v(3x - v)(b) 9r(- 3r ^ 2 * y - 7.12)(d) - 5x(- 6x - 4r ^ 2 * y - 3v)
5. Find each of the following products.(a) - 3/7 * x * 14/9 * y(b) 9 * v' * v * 3v ^ 2 * v ^ 2(c) 2x ^ 3 * y(- 13y ^ 2)(d) (-4xy - )*( - 2x ^ 2 * y ^ - 1 =^ 2 )
Factorise each of the following expressions completely.(a) a³+3ah-4h(b)²-4cd-21(c) 2h+7hk-15k(d) 3m²-16mm-12(e) 3p ^ 2 + 1.5pq + 18q ^ 2(f) 27-9rst+ 10s 1
Expand each of the following expressions.(a) (x + 9y)(x + 3y + 1)(b) (x + 2)(x ^ 2 + x + 1)
9. Expand and simplify each of the following expressions.(a) 5x(x - 6y) + (x + 3y)(3x - 4v)(b) (7x - 3v)(x - 4v) + (5v - 9v)(v - 2v)
Expand each of the following expressions(a) (x + y)(x + 6y)(b) (x ^ 2 + 2)(x + 5)
Expand and simplify each of the following expressions.(a) 7a(3b - 4c) + 4a(3c - 2b)(b) 4cf(d - 5f) + 2f(3d + 7f)
Expand each of the following expressions.r)(j) -7x(-41-31) (a) 8v(y-1) (c) 3x(2x + 7y) (e) 3a(2a+3b) (g) -6h(7k-3h) (i) 2p(3p+q+7r) (b) -9x(3x-2) (d) 3y(x-11v) (f)-4e(2c-5d) (h) -8m-12m-7n) (j) -7x(x-41-3u)
1. Find each of the following products.(a) 6xx(-21)(b) 14y * 1/2 * y
Expand each of the following expressions.(a) (v - 5v)(x + 4v - 1)(b) (x + 3)(x ^ 2 - 7x - 2)
Expand each of the following expressions.(a) (2x - y)(3x + 2y + 1)(b) (5x - 4)(2x ^ 2 + 3x + 2)
Expand each of the following expressions.(a) (x + 9v)(2v - v)(b) (v ^ 2 - 3)(6v + 7)
Expand each of the following expressions.(a) - r * (5 - 2r)(b) 2v(7x + 3v)
Find each of the following products.(a) 41 × (-7)(b) 2yx 3xy
Factorise the expression 3x ^ 2 - 11/2 * x - 5 completely.
Factorise each of the following expressions completely.(a) 9f ^ 2 + 18f - 16(b) 3h * r ^ 2 - 19h - 14(c) 14k ^ 2 + 49k + 21(d) 18m ^ 2 - 39m + 18
Factorise each of the following expressions completely.(a) a ^ 2 + 13a + 36(b) b ^ 2 - 15b + 56(C) c ^ 2 + 14c - 51(d) dP - 12d - 45
Expand and simplify each of the following expressions.(a) 7f(3f - 4) + 4f(3 - 2f)b) 6lr + (2h + 3)(h - 1)(c) (2k - 1)(k - 4) - 3k(k - 7)(d) (m + 2)(m + 1) - (3m + 5)(9 - 5m)
Expand each of the following expressions.(a) 10a(2a - 7)(b) - 3b(7 - 4b)(c) (c - 4)(c - 11)(d) (3d - 5)(4 - d)
The area of a rectangle is (x ^ 2 + 8x + 12) * c * m ^ 2 If the length of the rectangle is (x + 6) cm, show that its breadth is (x + 2) cm.
Factorise each of the following expressions completely. (a)p+p-i (b) 0.6r-0.8qr-12.8q'r
Factorise each of the following expressions completely. (a)+2a+35 (c) 4c+10+4 (e) 8/+4/-60 (g) 30+14k-4k (b)-3b+76b-25 (d) 5d 145d+ 600 (f) 242-15h-9 (h) 35mn+5mm-30n
Factorise each of the following expressions completely. (a) 3n+10n+7 (c) 6q-174+ 12 (e) 8+2s 15 (g) 4-8-21 (b) 4p + 8p+3 (d) 4-7 +3 (f) 6r+191-20 (h) 18-w-39
Factorise each of the following expressions completely. (a) a +9a+8 (b) b+8b+ 15 (c) -9c+20 (d) -16d+28 (e) +6f-16 (f) +2h 120 (g) k-4k-12 (h) m - 20m 21
Factorise cach of the following expressions completely.(a) 2v ^ 2 + 11v + 12(b) 5x ^ 2 - 13x + 6(C) - 2v ^ 2 + 9v - 9(d) 9x ^ 2 - 33x + 24
Factorise each of the following expressions completely.(a) 2x ^ 2 + 7x + 3(b) 3x - 7x - 6(c) - r ^ 2 - 4r + 32(d) 4v ^ 2 - 64 - 4
Factorise each of the following expressions completely.(a) x ^ 2 + 8x + 7(b) x ^ 2 - 11x + 28(C) x ^ 2 + x - 2(d) x ^ 2 - 7x - 8
Factorise each of the following expressions completely.(a) x ^ 2 + 7x + 10(b) x ^ 2 - 9x + 14(C) x ^ 2 + x - 20(d) x-x-12
Factorise each of the following expressions by using algebra discs. Alternatively, you may visit http://www.shinglee.com.sg/StudentResources to access the Alge Tools™ software (Go to algedisc/Quadratic Expressions/Activity 4).(a) x ^ 2 + 6r + 5(b) x ^ 2 - 6x + 5(c) x ^ 2 + 8y + 12(d) x ^ 2 - 8x +
Expand and simplity each of the following expressions.(a) 4x ^ 2 - (0.3x - 4)(2x + 1)(b) 2x(x - 6) - (2x + 5)(7 - x)(c) (4x - 3)(x + 2) - (3x - 5)(- x - 4)(d) (2x + 3)(5x - 2) - 2(5x - 3)(x + 1)
Expand and simplify each of the following expressions.(a) 5 + (x + 1)(x + 3)(b) 3r + (r + 7)(2r - 1)(c) (3x + 2)(x - 9) + 2v(4x + 1)(d) (x - 3)(x - 8) + (x - 4)(2x + 9)
7. Expand each of the toflowing expressions.(a) (a + 1)(a - 9)(b) (b - 2)(b + 7)(c) (c - 5)(c - 6)(d) (0.3d + 1)(5 - 2d)(e) (1 - f)(7f + 6)(f) (4 - 3h)(10 - 4h)
Expand and simplify each of the following expressions.(a) 7(2a + 1) - 4(8a + 3)(b) 3(2b - 1) - 2(5b - 3)(c) 3c(5 +c) - 2c(3c - 7)(d) 2 * d(3d - 5) - d(2 - d)(e) - f * (9 - 2f) + 4f(f - 8)(f) - 2h(3 + 4h) - 5h(h - 1)
Expand each of the following expressions.(a) (x + 3)(x + 7)(b) (4x + 1)(3x + 5)
4. Expand and simplify each of the following expressions.(a) 4(2a + 3) + 5(a + 3)(b) 9(5 - 2b) + 3(6 - 5b)(c) c(3c + 1) + 2c(c + 3)(d) 6 * d(5d - 4) + 2d(3d - 2)
Expand each of the following expressions.(a) 4(3x + 4)(b) - 6(- 7x - 3)(c) 8(- v - 3)(d) - 2(5x - 1)(e) 5pi(3x - 4)(f) - 8v(3v + 5)(g) - 5x(2 - 3x)(h) - x * (- r - 1)
Find each of the following products.(a) 12 * 5x(b) x * 6i(c) (- 2v) * 8v(d) (- 3x)(- 10x)
1. Expand and/or simplify each of the following expressions.(a) 6r ^ 2 + 19 + 9r ^ 2 - 8(b) x ^ 2 + 2x - 7 - (- 11x ^ 2) - 5x - 1(c) y + (- 3v ^ 7) + 2(v ^ 2 - 6v)(d) 5x ^ 2 - x - (x ^ 2 - 10x)(e) - (4x ^ 2 + 9x + 2) + 3x ^ 2 - 7x + 2(f) - (1 - 7y - 8y ^ 2) + 2(y ^ 2 - 3y - 1)
Expand and simplify the expression (2x-1)x+5)-5x(x-4).
Expand and simplify the expression (x+5)x-4)-(x+2)(x-7).
Expand each of the following expressions.(a) (x + 2)(x + 4)(b) (3x - 4)(5x - 6)(c) (5 + x)(2 - 3x)(d) (1 - 7x)(11x - 4)
Expand each of the following expressions.(a) (x + 4)(x + 5)(b) (2x + 3)(x + 2)(c) (3x + 8)(5x - 9)(d) (4 - 3x)(5 - 2x)
Expand (a + b)(c + d). From the class discussion, we have: (a+b)c+ d) = a(c+d) + bic + d) =ac + ad+be+ bd
1. Expand each of the following expressions by using algebra discs. Alternatively, you may visit http://www.shinglee.com.sg/StudentResources/ to access the Alge Tools software (Go to algedisc/Quadratic Expressions/Activity 2).(a) (x + 3)(x + 6)(b) (r + 3)(x - 6)(C) (x - 3)(x + 6)(d) (r - 3)(r -
Expand and simplify each of the following expressions.(a) 5(x - 4) - 3(2x + 4)(b) 2v(2x + 3) - v(2 - 5v)
Expand and simplify each of the tollowing expressions.(a) 2(2x + 3) - 2(x - 5)(b) v(2x + 1) + 2u(x + 4)
Expand each of the following expressions.(a) 3(4x + 1)(b) 7(5x-2)(c) 5(2-3)(d)-2(8-3)
Expand each of the following expressions,(a) 2(x-2)(b) - 2(3 + 4x)(c) 2n(x + 5)(d)-3(3-4)
Expand and/or simplify each of the following expressions.(a) 7x ^ 2 - 4x + 6x ^ 2 - x(b) - (- 5x ^ 2) + 3x + (- 6) + 2(3x ^ 2 - 8x + 4)(c) 4x ^ 2 - 1 - (7x ^ 2 + 13x - 2)(d) - (3x ^ 2 + 5x - 8) + x ^ 2 + 6x + 5
Expand each of the following expressions by using algebra discs. Alternatively, you may visit http://www.shinglee.com.sg/StudentResources/ to access the Alge Tools software (Go to algedisc/Quadratic Expressions/Activity 2).(a) 3(2x + 1)(C) t(- 2x + 3)(b)-3(2x-1)(d)-2(1-3)
Expand and/or simplify each of the following expressions,(a) 3x ^ 2 + 4x - x ^ 2 - x(b) 2x ^ 2 - 5x + 7 + (- 4x ^ 2) - (- 2x) - 3(c) 5x ^ 2 + 6x + 1 - (4x ^ 2 - 5x + 1)(d) - (1 - x ^ 2) + 2(4x ^ 2 - 3)
Simplify each of the following expressions by using algebra discs. Alternatively, you may visit http://www.shinglee.com.sg/StudentResources to access the Alge Tools software (Go to algedisc/Quadratic Expressions/Activity 11.(a) - (2x ^ 2 + x + 1)(b) - (- 2x ^ 2 - x + 1)(c) r ^ 2 + 2x + 1 - (3x ^ 2
Simplify each of the following expressions by using algebra discs. Alternatively, you may visit http://www.shinglee.com.sg/Student Resources/ to access the Alge Tools software (Go to algedisc/Quadratic Expressions/Activity 1).(a) - 4x ^ 2 + 2x ^ 2(b) - 4r ^ 2 + (- 2r ^ 2)(c) 4-2(d) 4-(-21)(e) 2x ^
A rooster costs $5 and a hen costs $3. Chicks are sold at 3 for $1. A farmer bought 100 birds of these three types for $100. How many of each type of bird did he buy?
Some spiders, dragonflies and houseflies are kept in three separate enclosures. They have a total of 20 heads, 136 legs and 19 pairs of wings. Given that a spider has 8 legs and 0 pairs of wings, a dragonfly has 6 legs and 2 pairs of wings, and a housefly has 6 legs and I pair of wings, find(i) the
Two positive numbers are such that the sum of 11 times the square of the first number and 13 times the cube of the second number is 395. If 218 is subtracted from 26 times the cube of the second number, the number obtained is 121 times the square of the first number. Find the two numbers.
Solve the simultaneous equations 4 15 y 15, 7 6 3. 5x y
1. Consider the simultaneous equations px-y = 6, 8x-2yq.Determine the conditions that p and q must satisfy if the simultaneous equations have(i) an infinite number of solutions,(ii) no solution,(iii) a unique solution, i.e. only one solution.
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