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IB Mathematics: Applications and Interpretation HL · 12.4: Solving Equations with Technology · 12.4.7

Mixed practice: equations Problem set B Answers

Skills

    1. (a) \(h = 3.56\) cm
    2. (b) \(x^{2} + 4 x - 9 = 0\); \(x = −5.61\) or \(x = 1.61\)
    1. (a) \(a = 2\), \(b = 5\), \(c = −28\)
    2. (b) \(x = −5.19\) or \(x = 2.69\)
    1. (a) \(a = 1, b = 3, c = −6, d = −22\)
    2. (b) \(x = 2.59\)
    1. (a) 13
    2. (b) \(x = −2.11\) or \(x = 1.11\)
    1. (a) \(n = 18\)
    2. (b) \(n = 17\)

In context

    1. (a) \(V = 3 x^{3} + 13 x^{2} + 4 x\)
    2. (b) \(x = 2.67\)
    3. (c) edge \(= 4.39\)
    1. (a) \(c + m = 25\) and \(4c + 2m = 78\)
    2. (b) 14
    1. (a) \(x + y = 2500\)
    2. (b) €72
    3. (c) \(16x + 8y = 31600\)
    4. (d) 1450 large boxes and 1050 small boxes
    1. (a) 465
    2. (b) 50
    3. (c) shown
    4. (d) solving \(n^2 + n − 1200 = 0\) gives \(n = 34.1\), not a whole number
    1. (a) \(A = x^{2} + 8 x + 4.75\)
    2. (b) \(x = 4.44\)
    3. (c) 33.8 cm

Stretch

    1. (a) \(u_1 = −4\), \(d = 5\)
    2. (b) \(r = −1.33\) or \(r = 0.331\)
    1. (a) shown
    2. (b) \(x = 1.46\)
    1. (a) \(a = 3\), \(b = −7\), \(y = 20\)
    2. (b) \(x = −1.71\), \(y = 3.00\), \(z = −1.00\)
    1. (a) \(h + t + b = 60\); \(h − t = 4\); \(b = h + t − 16\)
    2. (b) \(h = 21\), \(t = 17\), \(b = 22\); probability \(= \frac{11}{30} = 0.367\)

jmaths.xyz · AI HL · 12.4.7 Mixed practice: equations and systems