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Algebra Unit Practice Worksheet
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Algebra Unit Practice Worksheet
📚 Part 1: Solving Linear Equations
1. Solve for x: 3x + 7 = 22
2. Solve for y: 2y - 5 = 13
3. Solve for a: 4a + 12 = 2a + 20
4. Which equation has the solution x = 4?
2x + 3 = 11
5x - 1 = 19
3x + 2 = 10
x + 8 = 12
🔢 Part 2: Algebraic Expressions and Simplification
5. Simplify: 5x + 3x - 2x
6. Expand: 3(2x + 4)
7. Simplify: 7a + 2b - 3a + 5b
8. If x = 5, find the value of 2x² - 3x + 1
📊 Part 3: Word Problems and Applications
9. A mobile phone plan costs $25 per month plus $0.15 per text message. Write an equation for the total monthly cost (C) if you send t text messages.
10. Using your equation from question 9, how much would it cost if you sent 120 text messages in one month?
11. The perimeter of a rectangle is 34 metres. If the length is 3 metres more than twice the width, find the dimensions of the rectangle.
Let w = width of rectangle
Write an expression for the length: _______________
Write an equation for the perimeter: _______________
Width = _______ metres, Length = _______ metres
12. Sarah has $180 to spend on concert tickets. Adult tickets cost $25 each and student tickets cost $15 each. If she buys 3 adult tickets, write and solve an equation to find the maximum number of student tickets she can buy.
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