MathsFreePrintable
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 = 4?
2x - 3 = 5
5x + 1 = 19
3x - 2 = 14
x + 6 = 12
3. The first step to solve 4x - 9 = 15 is:
Divide both sides by 4
Add 9 to both sides
Subtract 9 from both sides
Multiply both sides by 4
4. Which of these are valid steps when solving linear equations? (Select all that apply)
Add the same number to both sides
Multiply both sides by zero
Divide both sides by the same non-zero number
Square both sides
✏️ Part 2: Solve the Equations
5. Solve for x: 2x + 5 = 17
x = _______
6. Solve for y: 6y - 8 = 4y + 12
y = _______
7. Solve for z: 3(z + 4) = 21
z = _______
🧮 Part 3: Word Problems
8. Sarah has £45 in her savings account. She saves £8 each week. Write and solve an equation to find how many weeks it will take her to have £125.
Equation: _________________________
Answer: It will take _______ weeks.
9. A mobile phone plan costs £25 per month plus £0.15 per text message. If James's bill was £31, how many text messages did he send?
Equation: _________________________
Answer: James sent _______ text messages.
10. The perimeter of a rectangle is 36 cm. The length is 3 cm more than twice the width. Find the dimensions of the rectangle.
Width: _______ cm
Length: _______ cm
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