Algebra I Practice and Solutions

This content provides practice questions and solutions for Algebra I topics including simplifying expressions, finding quotients, solving equations, and more. Each question is accompanied by an answer with detailed explanations. Enhance your algebra skills and master key concepts with these guided exercises.

• Algebra
• Practice
• Solutions
• Simplifying Expressions
• Equations

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Uploaded on Feb 19, 2025 | 0 Views

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Presentation Transcript

1. Algebra I

2. Practice Add 3 2 +

3. Practice Answer 5

4. Question 1.1 Simplify. Write answer without negative exponents. Assume all variables represent nonzero real numbers. (3 ) (3 ) (3 x 2 1 5 2 x x 1 2 2 )

5. Answer 1.1 1 8 3x

6. Question 1.2 Find Quotient. Write answer in standard form 6 2 1 2 i + + i

7. Question 1.2 Answer 2 2i

8. Question 1.3 Simplify 1 i 12

9. Question 1.3 Answer 1

10. Question 1.4 Solve x+ = 2 (4 1) 20

11. Question 1.4 Answer 1 2 5 4

12. Round 2

13. Question 2.1 Solve x x + 3 2 2 1 x 2 + = 2 2 x x

14. Question 2.1 Answer 1

15. Question 2.2 Solve. Give the solution set in interval notation .01 1 .01 x+

16. Question 2.2 Answer ( 101, 99)

17. Question 2.3 Solve + = 3 3 6 2 4 0 x x

18. Question 2.3 Answer 1

19. Question 2.4 Find the distance between P(-8,4) and Q(3,-2)

20. Question 2.4 Answer 157

21. Round 3

22. Question 3.1 Find the center of circle x 6 x y + + + = 2 2 10 18 0 y

23. Question 3.1 Answer (3, 5)

24. Question 3.2 4 Let f(x)=2x-1 and g(x)= x 1 Find (f g)(2)

25. Question 3.2 Answer 7

26. Question 3.3 + 2 Find a value of c so that y=x has exactly one x-intercept. 10 c x

27. Question 3.3 Answer 25

28. Question 3.4 Find all rational zeros of function f(x)=8x 14 x + 4 3 2 29 4 3 x x

29. Question 3.4 Answer 1 4 1 2 3, 1, ,

30. Round 4

31. Question 4.1 If a line has slope a, what is the slope of its reflection across the line y=x?

32. Question 4.1 Answer 1 a

33. Question 4.2 Solve 4 3 = x 81

34. Question 4.2 Answer 27

35. Question 4.3 Solve the system of equations 2x-5y+3z=-1 x+4y-2z=9 -x+2y+4z=5

36. Question 4.3 Answer (3,2,1)

37. Question 4.4 5 2 2 1 1 Find A if A=

38. Question 4.4 Answer 1 2 2 5

39. Extra 1 Consider the arithmetic sequence -9,-5,-1,3,7,... Evaluate S 12

40. Extra 1 Answer 156

41. Extra 2 In how many ways can 6 students be seated in arow of 6 desks?

42. Extra 2 Answer 720