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Quiz

Year 1: Linear functions and simultaneous equations

10 questions with solutions for year 1: zeros, parameters, monotonicity, two linear equations in two unknowns, word problems – review problems.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. The zero of f(x) = 3x − 3 is:

2. The zero of f(x) = 2x + 11 is:

3. f(x) = (a + 3)x + 1 has the zero x₀ = −2. a = ?

4. For which k is f(x) = (3k + 1)x − 2 increasing?

5. For which b does the graph of 2x + by = 5 pass through A(−1, 5)?

6. For which c does the graph of 2x − 8y = c pass through B(1, −1)?

7. Solve: 3x + 2y = 7, x − 3y = −5

8. Solve: x + 2y = 7, 3x − 2y = 5

9. Four friends buy a ball: the first paid half, the second a third of what the other three paid, the third a quarter of what the other three paid, the fourth 50 denars. What does the ball cost?

10. 8 l of hot water + 2 l of cooler water give 66 °C, 7 l hot + 3 l cooler give 59 °C. What is the hot water’s temperature (°C)?