Questions and Answers of Mathematics Economics Business

Simplify the following algebraic expressions:(a) 3x − 4x2 − 2 + 5x + 8x2 (b) x(3x + 2) − 3x(x + 5)
Use the formula for the difference of two squares to factorise(a) x2 − 4 (b) Q2 − 49 (c) x2 − y2(d) 9x2 − 100y2
Simplify the following expressions by collecting together like terms:(a) 2x + 3y + 4x − y (b) 2x2 − 5x + 9x2 + 2x − 3(c) 5xy + 2x + 9yx (d) 7xyz + 3yx − 2zyx + yzx − xy(e) 2(5a +
Multiply out the brackets:(a) (x + 2)(x + 5) (b) (a + 4)(a − 1)(c) (d + 3)(d − 8) (d) (2s + 3)(3s + 7)(e) (2y + 3)(y + 1) (f) (5t + 2)(2t − 7) (g) (3n + 2)(3n −
Factorise(a) 25c + 30 (b) 9x − 18(c) x2 + 2x(d) 16x − 12y(e) 4x2 − 6xy (f) 10d − 15e + 50
Multiply out the brackets:(a) 7(x − y) (b) 3(5x − 2y) (c) 4(x + 3) (d) 7(3x − 1)(e) 3(x + y + z) (f) x(3x − 4) (g) y + 2z − 2(x + 3y − z)
Use your calculator to work out the following. Round your answer, if necessary, to two decimal places.(a) 5.31 × 8.47 − 1.012 (b) (8.34 + 2.27)/9.41(c) 9.53 − 3.21 + 4.02 (d) 2.41 ×
Without using a calculator, work out(a) (5 − 2)2 (b) 52 − 22Is it true in general that (a − b)2 = a2 − b2?
(a) Without using a calculator, work out the value of (−4)2.(b) Press the following key sequence on your calculator:(-) 4 x2 Explain carefully why this does not give the same result as part
If x = 2 and y = −3, evaluate(a) 2x + y (b) x − y (c) 3x + 4y(d) xy (e) 5xy(f) 4x − 6xy
Without using a calculator, find the value of the following:(a) 2x − y when x = 7 and y = 4.(b) x2 − 5x + 12 when x = 6.(c) 2m3 when m = 10.(d) 5fg2 + 2g when f = 2 and g = 3.(e) 2v + 4w − (4v
Simplify the following algebraic expressions by collecting like terms:(a) 6w − 3w + 12w + 4w (b) 6x + 5y − 2x − 12y(c) 3a − 2b + 6a − c + 4b − c (d) 2x2 + 4x − x2 − 2x(e)
Simplify each of the following algebraic expressions:(a) 2 × P × Q (b) I × 8 (c) 3 × x × y(d) 4 × q × w × z (e) b × b (f) k × 3 × k
Without using a calculator, evaluate(a) 5 × 2 − 13 (b) -30-6/-18(c) (-3) x (-6) x (-1)/2 - 3(d) 5 × (1 − 4)(e) 1 − 6 × 7 (f) −5 + 6 ÷ 3 (g) 2 × (−3)2 (h) −10 + 22(i)
Without using a calculator, evaluate(a) 5 − 6 (b) −1 − 2 (c) 6 − 17(d) −7 + 23(e) −7 − (−6) (f) −4 − 9(g) 7 − (−4)(h) −9 − (−9)(i) 12 − 43( j) 2 + 6 −
Without using a calculator, evaluate(a) 10 × (−2) (b) (−1) × (−3)(c) (−8) ÷ 2 (d) (−5) ÷ (−5)(e) 24 ÷ (−2) (f) (−10) × (−5)(g) 20/-4 (h) -27/-9 (i)

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