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

Mixed practice: equations Problem set A Answers

Skills

    1. (a) \(h = 4.78\) cm
    2. (b) \(x^{2} + 2 x - 11 = 0\); \(x = −4.46\) or \(x = 2.46\)
    1. (a) \(a = 3\), \(b = −13\), \(c = −24\)
    2. (b) \(x = −1.40\) or \(x = 5.73\)
    1. (a) \(a = 1, b = 2, c = −5, d = −13\)
    2. (b) \(x = 2.38\)
    1. (a) 10
    2. (b) \(x = −1.76\) or \(x = 0.758\)
    1. (a) \(n = 20\)
    2. (b) \(n = 15\)

In context

    1. (a) \(V = 2 x^{3} + 7 x^{2} + 3 x\)
    2. (b) \(x = 3.64\)
    3. (c) edge \(= 3.89\)
    1. (a) \(b + t = 17\) and \(2b + 3t = 41\)
    2. (b) 7
    1. (a) \(x + y = 3000\)
    2. (b) €78
    3. (c) \(14x + 9y = 35700\)
    4. (d) 1740 adult tickets and 1260 student tickets
    1. (a) 325
    2. (b) 60
    3. (c) shown
    4. (d) solving \(n^2 + n − 2000 = 0\) gives \(n = 44.2\), not a whole number
    1. (a) \(A = x^{2} + 7 x + 6\)
    2. (b) \(x = 6.81\)
    3. (c) 41.2 m

Stretch

    1. (a) \(u_1 = 7\), \(d = 3\)
    2. (b) \(r = −1.33\) or \(r = 0.333\)
    1. (a) shown
    2. (b) \(x = 3.07\)
    1. (a) \(a = 2\), \(b = −1\), \(y = 10\)
    2. (b) \(x = 1.44\), \(y = −2.00\), \(z = 1.00\)
    1. (a) \(h + t + b = 40\); \(h − t = 5\); \(b = h + t − 14\)
    2. (b) \(h = 16\), \(t = 11\), \(b = 13\); probability \(= \frac{13}{40} = 0.325\)

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