Senior High Fine Arts Testing 2026: Algebra Survey

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* 5. Which of these would produce a system of linear equations that is inconsistent?

2 lines with the same slope and different y-intercepts

2 lines with different slopes and the same y-intercepts

2 lines with different slopes and different y-intercepts

2 lines with the same slope and the same y-intercepts

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* 6. Which of these would produce a system of linear equations that is consistent and dependent?

2 lines with different slopes and the same y-intercepts

2 lines with the same slope and different y-intercepts

2 lines with the same slope and the same y-intercepts

2 lines with different slopes and different y-intercepts

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* 7. What is the vertex of y = (x - 2)² - 5?

(-2, -5)

(5, -2)

(2, -5)

(-5, 2)

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* 8. What is the discriminant of x² - 6x + 8 = 0?

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* 9. What is the range of y = x²

y less than or equal to 0

y not equal to 0

all real numbers

y greater than or equal to 0

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* 10. If sin θ =1/2 and θ is in Quadrant I, what is θ?

30°

90°

60°

45°

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* 11. Evaluate: k(a) = 4a - 2; Find k(-8)

-18

-34

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* 12. It takes Stephanie eight hours to clean an attic. Dan can clean the same attic in 12 hours. If they worked together how long would it take them?

4.8 hours

3.92 hours

5.79 hours

3.63 hours

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* 13. Asanji left the science museum and drove toward the lake at an average speed of 60 km/h. Stephanie left three hours later and drove in the opposite direction with an average speed of 50 km/h. How long does Stephanie need to drive before they are 400 km apart?

2 hours

5 hours

1 hour

4 hours

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* 14. Solve this equation: 7(1 - 6v) = 6v + 7(1 + 4v)

{ All real numbers. }

{-10}

{0}

{-5}

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* 15. Solve this equation: 45=9√(3x +1) (note - that is one square root that covers all of 3x+1)

{6}

{-6}

{8}

{5}

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* 16. Solve this equation: (x - 1)(x + 4) = 0

x = -1, -4

x = 1, -4

x = 1, 4

x = -1, 4

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* 17. Solve this equation: 125^{2p - 1} = 25^-2p

{3/10}

{ All real numbers. }

No solution.

{-8}

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* 18. Solve this equation: 9 - 7 |9x + 9| = -54

{-2, 3}

{7/9, -1}

{4, 2}

{0, -2}

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* 19. Solve this inequality: -2(1 + 8r) + 5(-5 + 8r) < 45

r > -30

r > 0

r > 3

r < 3

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* 20. Write the slope-intercept form of the equation of the line through the given points. (0, -3) and (-1, -5)

y = 2x - 3

y = 2x + 2

y = 3x + 2

y = -3x + 2

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* 21. If y varies inversely as x², and y = 5 when x = 4, find y when x = 2.

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* 22. Solve this system of equations: x - 2 y = -7 and 8x + 4 y = 24

(1, -4)

(1, 4)

(3, 1)

(4, 1)

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* 23. Write a polynomial function of least degree with integral coefficients that has the given zeros: -1/5, 3 + √6

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* 24. Simplify: (-2 + 4i)(-4 + i)

8 - 16i

-4 + 18i

-12 - 14i

4 - 18i

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* 25. Simplify: - √54 - 2√6 - √24

-7√6

-12√6

-9√6

-10√6

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* 26. Which equation represents exponential growth?

y=5 * 1.2^x

y=2x+3

y=10/x

y=x^2-4

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* 27. Find the inverse: f (x) = -5/4x - 5

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* 28. Solve: 3p² - 8 = 0

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* 29. Solve: x⁴ + x² - 20 = 0

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* 30. log⌄19 -x = log⌄19 -5x (this reads log base 19 minus x equals log base 19 minus 5x. Software is unable to subscript the 19)

{1}

{3/4}

no solution

{14}

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* 31. Divide: (2n⁴ + 12n³ + 21n² + 17n + 23) divided by (n + 3)

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* 32. Factor: x⁶ + 28x³ + 27 = 0

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* 33. Factor: -27x⁵ + 64x² = 0

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* 34. Simplify: 1 + 5i / -1 - 5i (This reads 1 plus 5i over -1 -5i)

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* 35. Classify the conic section: 25x² + 9 y² + 150x - 36 y + 36 = 0

Circle

Hyperbola

Parabola

Ellipse

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* 36. Evaluate each expression log⌄7 49

-2

Senior High Fine Arts Testing 2026: Algebra

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* 1. First Name

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* 2. Last Name

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* 3. School Name

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* 4. Which graph represents y=-2x+3?

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* 5. Which of these would produce a system of linear equations that is inconsistent?

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* 6. Which of these would produce a system of linear equations that is consistent and dependent?

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* 7. What is the vertex of y = (x - 2)2 - 5?

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* 8. What is the discriminant of x2 - 6x + 8 = 0?

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* 9. What is the range of y = x2

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* 10. If sin θ =1/2 and θ is in Quadrant I, what is θ?

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* 11. Evaluate: k(a) = 4a - 2; Find k(-8)

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* 12. It takes Stephanie eight hours to clean an attic. Dan can clean the same attic in 12 hours. If they worked together how long would it take them?

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* 13. Asanji left the science museum and drove toward the lake at an average speed of 60 km/h. Stephanie left three hours later and drove in the opposite direction with an average speed of 50 km/h. How long does Stephanie need to drive before they are 400 km apart?

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* 14. Solve this equation: 7(1 - 6v) = 6v + 7(1 + 4v)

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* 15. Solve this equation: 45=9√(3x +1) (note - that is one square root that covers all of 3x+1)

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* 16. Solve this equation: (x - 1)(x + 4) = 0

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* 17. Solve this equation: 1252p - 1 = 25-2p

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* 18. Solve this equation: 9 - 7 |9x + 9| = -54

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* 19. Solve this inequality: -2(1 + 8r) + 5(-5 + 8r) < 45

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* 20. Write the slope-intercept form of the equation of the line through the given points. (0, -3) and (-1, -5)

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* 21. If y varies inversely as x2, and y = 5 when x = 4, find y when x = 2.

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* 22. Solve this system of equations: x - 2 y = -7 and 8x + 4 y = 24

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* 23. Write a polynomial function of least degree with integral coefficients that has the given zeros: -1/5, 3 + √6

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* 24. Simplify: (-2 + 4i)(-4 + i)

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* 25. Simplify: - √54 - 2√6 - √24

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* 26. Which equation represents exponential growth?

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* 27. Find the inverse: f (x) = -5/4x - 5

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* 28. Solve: 3p2 - 8 = 0

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* 29. Solve: x4 + x2 - 20 = 0

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* 30. log⌄19 -x = log⌄19 -5x (this reads log base 19 minus x equals log base 19 minus 5x. Software is unable to subscript the 19)

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* 31. Divide: (2n4 + 12n3 + 21n2 + 17n + 23) divided by (n + 3)

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* 32. Factor: x6 + 28x3 + 27 = 0

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* 33. Factor: -27x5 + 64x2 = 0

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* 34. Simplify: 1 + 5i / -1 - 5i (This reads 1 plus 5i over -1 -5i)

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* 35. Classify the conic section: 25x2 + 9 y2 + 150x - 36 y + 36 = 0

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* 36. Evaluate each expression log⌄7 49

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* 37. Simplify: -6- 3√3 divided by 2√31

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* 38. (8m - 5m2n - 8m2n4) + (8m2n + 2m2n4) - (3m3 + 6m2n4 + 7m2n)

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* 39. Simplify: (7n + 1)(4n2 + n + 4)

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* 7. What is the vertex of y = (x - 2)² - 5?

* 8. What is the discriminant of x² - 6x + 8 = 0?

* 9. What is the range of y = x²

* 17. Solve this equation: 125^{2p - 1} = 25^-2p

* 21. If y varies inversely as x², and y = 5 when x = 4, find y when x = 2.

* 28. Solve: 3p² - 8 = 0

* 29. Solve: x⁴ + x² - 20 = 0

* 31. Divide: (2n⁴ + 12n³ + 21n² + 17n + 23) divided by (n + 3)

* 32. Factor: x⁶ + 28x³ + 27 = 0

* 33. Factor: -27x⁵ + 64x² = 0

* 35. Classify the conic section: 25x² + 9 y² + 150x - 36 y + 36 = 0

* 38. (8m - 5m²n - 8m²n⁴) + (8m²n + 2m²n⁴) - (3m³ + 6m²n⁴ + 7m²n)

* 39. Simplify: (7n + 1)(4n² + n + 4)