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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,…
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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.
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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
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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
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