Grade 6 Mathematics Week 7 Equations and Inequalities PDF

Summary

This mathematics worksheet for grade six covers equations and inequalities. It contains examples and practice problems to solve equations, expand brackets, and simplify algebraic expressions. Some questions also involve finding the perimeter of various shapes.

Full Transcript

Mathematics Grade six Week 7 Equations and Inequalities 2024-2025 1. 4x – 62 = -6 2. 3y + 24 = 132 Solve Equations 3. 7k – 19 = 135 4. 18m + 81 = 243 5. 34 + 4z = 98 1. 4x = 62 – 6 = 56, x = 14 2. 3y...

Mathematics Grade six Week 7 Equations and Inequalities 2024-2025 1. 4x – 62 = -6 2. 3y + 24 = 132 Solve Equations 3. 7k – 19 = 135 4. 18m + 81 = 243 5. 34 + 4z = 98 1. 4x = 62 – 6 = 56, x = 14 2. 3y = 132 – 24 = 108, y = 36 Solve 3. 7k = 135 + 19 = 154, k = 22 Equations 4. 18m = 243 – 81 = 162, m = 9 5. 4z = 98 – 34 = 64, z = 16 1. -4(2x + 4) + 16x = Expand the 2. 7(11y – 8) + 14 = brackets and simplify 3. 17k – 6(2 – 5k) = expressions 4. 56 – 3(4z + 14) = 5. -13m + 8(8 – 4m) = 1. -8x – 16 + 16x = 8x - 16 Expand the 2. 77y – 56 + 14 = 77y - 42 brackets and 3. 17k – 12 + 30k = 47k -12 simplify expressions 4. 56 – 12z – 42 = -12z + 14 5. -13m + 64 – 32m = -45m + 64 Find perimeter of Triangle. Simplify your answer. 2x + 14 7x 1 – 5x P = 2x + 14 + 7x + 1 – 5x = 4x + 15 Find perimeter of the Shape. Simplify your answer. 9 – 8x 11 – 2x 4x + 15 x+3 Solving problems using equations The perimeter of the rectangle is 106 cm. Find the length of the longer side. Show your working clearly. Inequalities Write down the inequalities that correspond to the following number lines: 1. -10 -6 -2 2 6 10 14 x 2. 3 5 7 9 11 13 15 y 3. -13 -11 -9 -7 -5 -3 -1 x 4. -13 -12 -11 -10 -9 -8 -7 k Inequalities Represent each of the following inequalities on a number line 1. x ≥ 1 2. y < 2 3. z ≤ -2 4. k ≥ -7

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