Quiz

Year 1: Linear equations and inequalities

10 questions with solutions for year 1: linear equations, word problems, linear inequalities and systems – review problems.

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

1. 7(x − 3) = 4(x + 5) − 47. x = ?Enter a number only

2. 16 − 9(3 − u) + 4u = 15. u = ?Enter a number only

3. (w − 1)(w − 2) = (w + 3)(w − 4) − 3(w − 1). w = ?Enter a number only

4. Split 38 into two parts so that half of the smaller is 4 more than a quarter of the larger. What is the smaller part?Enter a number only

5. Marina is 3 years older than her brother. In 4 years their ages will add up to 33. How old is Marina?Enter a number only

6. If the side of a square grows by 5 cm, its area grows by 345 cm². How long is the side (cm)?Enter a number only

7. Three pipes alone fill a pool in 10, 12 and 15 hours. How many hours do they take together?Enter a number only

8. Marko has 700 denars and a cake costs 55 denars. What is the most cakes he can buy?Enter a number only

9. System: 4 − x > 0 and 2x + 5 > 0

A. (4, ∞)

B. (−∞, −5/2)

C. (−5/2, ∞)

D. (−5/2, 4)

10. (2x − 1)(x + 3) < 0

A. (−∞, −3) ∪ (1/2, ∞)

B. (−1/2, 3)

C. (−3, 1/2)

D. (−3, ∞)