algebra quick test

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algebra quick test

1. 

Solve the system of equations.

y = 2x² – 3
y = 3x – 1

 (1 point)
2. 

How many real number solutions are there to the equation 0 = –3x² + x – 4?

 (1 point)
3. 

Solve the equation by completing the square. If necessary, round to the nearest hundredth. 

x² – 18x = 19

 (1 point)
4. 

Solve. x² – 81 = 0

 (1 point)
5. 

Which model is most appropriate for the data shown in the graph below?

A coordinate plane with points graphed that approach the x axis on the left and rises quickly on the right.

 (1 point)

Matching

For questions 6–9, match the equation to its corresponding graph. 

a. A coordinate plane with a parabola graphed that opens down. The y-intercept is (0, 2) and the x-intercepts are (negative 1, 0) and (1, 0).
b. A coordinate plane with a parabola graphed that opens up. The y-intercept is (0, negative 4) and the x-intercepts are between 0 and 1 and between negative 2 and negative 1.
c. A coordinate plane with a parabola graphed that opens up. The y-intercept is (0, 0) and the x-intercept is (0, 0).
d. A coordinate plane with a parabola graphed that opens down. The y-intercept is (0, 0) and the x-intercept is (0, 0).

6. 

y = –2x² + 2

 
(1 point)

7. 

y = –x²

 
(1 point)

8. 

y = 2x²

 
(1 point)

9. 

y = 3x² – 4

 
(1 point)

10. 

Graph the quadratic functions y = -2x2 and y = -2x2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs.

(3 points)

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