Solve Inequalities with Unknowns on Both Sides 1

Solve Inequalities with Unknowns on Both Sides 1 Mr Lund Maths

Solve Inequalities with Unknowns on Both Sides 1. True or false? 3. Solve. a) 2 a – a + 5 = a + 5 a) 2 a < a + 5 a) 3 a – 3 + 2 a + 4 = 5 a + 6 a) 3 a ≤ 2 a + 5 2. Here is a bar model, ‘is less t than’ a) 4 a > 2 a + 10 +5 Which inequality does the bar model represent? 3 t < 5 2 2 t > t + 5 2 t < t + 5 4. Simplify and solve. a) t + 3 t ≥ 20 + 2 t a) 4 t < – 20 + t

Solve Inequalities with Unknowns on Both Sides 5. Solve. 7. Spot the mistake. a) 3 y + 2 < 2 y + 10 a) 4 a – 2 < 2 a + 10 a) 5 t + 2 ≥ 2 t – 10 6. Simplify and solve. a) 5 a + 2 > 2 a + 10 + a b) 3(t + 2) ≤ 2 t + 10 3 8. Represent the inequality 3 y + 9 ≥ 2 y + 8 on the number line.

Answers 4

Solve Inequalities with Unknowns on Both Sides 1. True or false? 3. Solve. a) 2 a – a + 5 = a + 5 True a) 2 a < a + 5 a < 5 a) 3 a – 3 + 2 a + 4 = 5 a + 6 False, 5 a + 1 2. Here is a bar model, ‘is less t than’ a) 3 a ≤ 2 a + 5 a ≤ 5 a) 4 a > 2 a + 10 a > 5 +5 Which inequality does the bar model 4. Simplify and solve. a) t + 3 t ≥ 20 + 2 t t ≥ 10 represent? 3 t < 5 5 2 t > t + 5 2 t < t + 5 a) 4 t < – 20 + t t < – 10

Solve Inequalities with Unknowns on Both Sides 5. Solve. 7. Spot the mistake. a) 3 y + 2 < 2 y + 10 y < 8 a) 4 a – 2 < 2 a + 10 a < 6 a) 5 t + 2 ≥ 3 t – 10 t ≥ – 4 6. Simplify and solve. a) 5 a + 2 > 2 a + 10 + a a > 4 b) 3(t + 2) ≤ 2 t + 10 6 t≤ 4 It should be a > - 10 8. Represent the inequality 3 y + 9 ≥ 2 y + 8 on the number line.