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ALGEBRA 2 BENCHMARK REVIEW Sections to study: 3.1, 4.1-4.410.1-10.3 1. Solve the system of equations 3. Graph y = 6x −11 −2x − 3 y = −7 Name ____________________________________________________Date __________ Per ______ 2. Solve the system of equations 5x + y = 9 10x − 7 y = −18 f (x) = x 2 − 3x + 2 . y-intercept: Vertex: Axis of Symmetry: Domain: Range: Maximum/Minimum: Ingalla Q1 1 ALGEBRA 2 BENCHMARK REVIEW 4. Graph Name ____________________________________________________Date __________ Per ______ f (x) = x − 6x − 7 . Determine the number of the solutions & find solution if it exists. 2 y-intercept: Vertex: Axis of Symmetry: Domain: Range: Maximum/Minimum 5. Find the solutions of 6x + 24x + 24 = 0 . 2 7. Find the 10th term of the sequence 7,9,11,… Ingalla 6. Find the roots of the quadratic equation 2x 2 + 6x + 4 = 0 . 8. Find the 7th term of the sequences -2,-6,-18,…. Q1 2 ALGEBRA 2 BENCHMARK REVIEW Name ____________________________________________________Date __________ Per ______ 9. Write the equation for the nth term of the sequence 6,12,18,24,… 10. Write the equation for the nth term of the sequence 4,15,26,37,… 11. Write the equation for the nth term of the sequence 45,15, -3, 1,… 12. Write the equation for the nth term of the sequence 32,48,72,108,… 13. Joey is riding his bike at the same rate. After 1 hour he has traveled 19 miles, after another hour he had traveled 38 miles, and after 3 hours he had traveled 57 miles. Write an equation that represents this scenario. 14. Find the sum of the series S14of 3+ 7 +11+15+ ... 16. Write the series 2+4+6+8 in sigma notation. Ingalla 15. Find the sum of the series S7of 4 + 8 +16 + 32+ ... 17. Write the series 64 +16 +12+ 9 in sigma notation. 3 Q1 3 ALGEBRA 2 BENCHMARK REVIEW Name ____________________________________________________Date __________ Per ______ 19. A wholesaler chargers a store $3 per pound for less than 4 x ,−4 ≤ x ≤ 0 lbs. of candy and $2.50 per pound for 4 or more pounds. 18. Graph the piecewise function f (x) Write and graph a function for the situation. −x + 2,0 < x < 4 20. Solve (3− 4i)(−5− 2i) 22. Find the solutions to Ingalla w 2 + 3w + 3 = 0 21. What is the conjugate of sums of these 2 conjugates. 23. Find the solutions to 8 y 3− 4i and of −5− 2i ? Find the 2 − 6 y = −5 Q1 4 ALGEBRA 2 BENCHMARK REVIEW Ingalla Name ____________________________________________________Date __________ Per ______ Q1 5