Algebra II: Inequalities and Systems of Equations
This worksheet covers solving linear and quadratic inequalities, systems of linear equations, and systems of linear and quadratic equations, including graphical solutions.
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Algebra II: Inequalities and Systems of Equations
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. Solve the inequality and graph the solution set on a number line: 3(x - 2) + 5 ≤ 2x + 7
2. The solution set for the inequality x² - 5x + 6 > 0 is .
3. For the inequality 2x² + 7x - 4 ≤ 0, the interval notation for the solution is .
4. Solve the following system of equations by substitution or elimination:
2x + y = 10
3x - 2y = 1
5. Which of the following graphs represents the solution to the system: y = x + 3 y = -2x + 0
6. Find the points of intersection for the system:
y = x² - 4x + 3
y = x - 1
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