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Algebra 1 Exam Review: Problems & Solutions

This review covers topics in algebra, including solving systems of equations, elimination and substitution methods, plotting points, and identifying parallel and perpendicular lines.

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Algebra 1 Exam Review: Problems & Solutions

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  1. Unit 3 Exam 1 ReviewAlgebra 1 By Brit Caswell-Wind

  2. Problem 1 Carlos caught 24 trout and bass while on a fishing trip. The total weight of his catch was 137 pounds. The average weight of a trout was 2.5 pounds, and the average weight of a bass was 8 pounds. How many trout and how many bass did he catch?

  3. Problem 2 Describe the steps to use elimination.

  4. Problem 3 Describe the steps to use substitution.

  5. Problem 4 Plot the point that represents the solution to the following system: -5y + 4x = 49 7y + 2x = -23

  6. Problem 5 What is the solution to the following system of equations?

  7. Problem 6 Determine the equation of a line in slope-intercept form that passes through (-3, -5) and is perpendicular to y = -2x – 5.

  8. Problem 7 Determine the equation of a line in slope-intercept form that passes through (-3, -5) and is parallel to y = -2x – 5.

  9. Problem 8 If line a is parallel to line b, which of the following are true? • Their slopes are the same. • Their slopes are opposite reciprocals. • They never intersect. • They intersect once. • One has a positive slope and the other a negative slope.

  10. Problem 9 If line a is perpendicular to line b, which of the following are true? • Their slopes are the same. • Their slopes are opposite reciprocals. • They never intersect. • They intersect once. • One has a positive slope and the other a negative slope.

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