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Solving Linear Equations
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Solving Linear Equations
📚 Part 1: Multiple Choice
1. What is the value of x in the equation 3x + 7 = 22?
x = 3
x = 5
x = 7
x = 15
2. Which equation has the solution x = -2?
2x + 6 = 2
5x - 3 = 7
4x + 1 = 9
x + 8 = 10
3. What is the first step to solve 4x - 9 = 15?
Divide both sides by 4
Add 9 to both sides
Subtract 15 from both sides
Multiply both sides by 4
4. If 2(x + 3) = 14, what is the value of x?
x = 4
x = 5
x = 6
x = 7
✏️ Part 2: Solve These Equations
5. Solve: 5x - 8 = 27
x = _______
6. Solve: 3(x - 4) = 21
x = _______
7. Solve: 2x + 5 = 3x - 7
x = _______
8. Solve: (x + 6)/2 = 9
x = _______
🌟 Part 3: Word Problems
9. Sarah has £45. She spends £12 on a book and then buys some pens that cost £3 each. If she has £9 left, how many pens did she buy?
Let x = number of pens
Write an equation: ________________________
Sarah bought _______ pens.
10. The perimeter of a rectangle is 36 metres. The length is 3 metres more than twice the width. Find the width of the rectangle.
Let w = width in metres
Write an equation: ________________________
The width is _______ metres.
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