Q14 Prep 3 Algebra Question Bank

a) The ordered pair which satisfies each of the two equations: \( xy = 2 \), \( x - y = 1 \) is ......

(a) (1, 1)

(b) (2, 1)

(c) (1, 2)

(d) \(\left( \frac{1}{2}, 1 \right)\)

Answer: b

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b) One of the solutions for the two equations: \( x - y = 2 \), \( x^2 + y^2 = 20 \) is ......

(a) (-4, 2)

(b) (2, -4)

(c) (3, 1)

(d) (4, 2)

Answer: d

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c) If \( y = 1 - x \), \((x + y)^2 + y = 5\), then \( y = ...... \)

(a) 5

(b) 3

(c) -4

(d) 4

Answer: d

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d) If \( x^2 + x y = 15 \), \( x + y = 5\), then \( x = ...... \)

(a) 3

(b) 4

(c) 5

(d) 6

Answer: a