Algebra 2 Fall Semester Test REVIEW 2024 PDF
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2024
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This is an Algebra 2 practice test review from the fall semester of 2024. It contains various types of algebra problems, including solving equations, systems of equations, and working with absolute values.
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Algebra 2 Fall Semester Test REVIEW 2024 Name:________________________ 1. Solve for x: 12 = 2(𝑥 − 2) 2. Solve for x: − 3(𝑥 − 6) =− 7𝑥 + 10 3. Solve for x: − 8 + 22 = 13𝑥 − 5 − 12𝑥 a. -9 b. 19 c. 9 d. 25...
Algebra 2 Fall Semester Test REVIEW 2024 Name:________________________ 1. Solve for x: 12 = 2(𝑥 − 2) 2. Solve for x: − 3(𝑥 − 6) =− 7𝑥 + 10 3. Solve for x: − 8 + 22 = 13𝑥 − 5 − 12𝑥 a. -9 b. 19 c. 9 d. 25 4. What value of x satisfies the equation -3(4x - 5) = 2(1 - 5x)? a.) -1 b.) 3/17 c.) 13/2 d.) -17/22 e.) -17/2 5. 6. Write the equation of the line going through (-4,3) and having a slope of -2. Put the equation in slope-intercept form 𝑦 = 𝑚𝑥 + 𝑏 7. Write the equation of the line going through (-2,3) and (7,-1). 𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1) 8. Graph 𝑦 = 3𝑥 + 5 by plotting two points and answer the following questions. Y-intercept Slope: Domain: Range: End behavior: left _____________, right ____________ 9. Give the solution to each of the following. 10. Solve the system of equations: − 3𝑥 + 𝑦 =− 8 4𝑥 − 5𝑦 = 7 11. Solve the system of equations: 3𝑥 − 4𝑦 =− 19 𝑦 = 2𝑥 + 11 12. 13. Solve: |2𝑥 + 5| = 7 14. Solve: |𝑥| + 14 =− 10 15. Solve: 2|𝑥 + 3| − 7 = 13 16. Solve: |2𝑥 − 7|≥ 9 Interval Notation: 18. Solve 2|𝑥 + 4| − 6 ≤ 10 Interval Notation: 17. Graph: 𝑦= − 3|𝑥 − 2| + 3 a) Describe transformations: x y b) Table of Values c) Vertex: __________________ d) Domain: e) Range: f) End Behavior: Left:____________, right:______________ 19. Simplify − 84 20. Simplify (− 6 − 5𝑖) − (− 1 + 4𝑖) 21. Simplify (− 4 + 2𝑖)(− 3 + 5𝑖) 3+2𝑖 22. Simplify 4𝑖 23. Simplify 18 24. Simplify 50 + 5 98 25. Simplify 5 6( 10 − 9) −5 26. Simplify 4 3+4 2 27. Solve by factoring: 5𝑥 − 15𝑥 = 0 2 28. Solve by factoring: 𝑥 + 6𝑥 − 7 = 0 𝑚𝑖𝑑𝑑𝑙𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 2 29. Solve by completing the square: ( 2 ) 2 𝑥 + 14𝑥 + 47 = 0 2 30. Solve for x: 7𝑥 − 2𝑥 + 3 = 0 2 31. Graph the quadratic quadratic 𝑦 =− (𝑥 + 1) − 4 a)Vertex? x y b) Give 5 points on the graph: c) X-intercept: d) Y-intercept: e) Domain: f) Range: g) End behavior? Aleks Assignment for a grade!
