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1. Which of the following is a quadratic equation? a. x²+6=0 b. 2x³–32=x c. 2x–10=15 d. x+2=10
2. What are the factors of the equation y²=64? a. (y+8)(y+8) b. (x–8)(x–8) c. (y+8)(y–8) d. (x–16)(x+4)
3. Which of the following is equal to x²+4x+3? a. (x+1)(x+3) b. (x+2)(x+2) c. (x+4)(x–1) d. (x–4)(x–1)
4. Choose the correct values of a, b, and c in the equation 5x²–x+6=0. a. a=5, b=1, c=6 b. a=6, b= -1, c=5 c. a=5, b= -1, c=6 d. a= -5, b= -1, c= -6
5. What is the standard form of the equation x²+6=4x? a. x²–4x+6=0 b. x²+4x–6=0 c. x²=4x–6 d. x²–4x–6=0
6. What term do you need to add to the quadratic x²–12x to create a perfect square trinomial? a. -6 b. 12 c. 36 d. 144
7. Which of the following is true about a quadratic equation? a. The graph always crosses the x-axis. b. The graph always increases. c. The graph is always symmetric about the y-axis. d. The equation is always considered a second degree equation.
8. What is the nature of the roots of a quadratic equation having a discriminant equal to 0? a. Two real roots b. Two imaginary roots c. Two unequal real roots d. No real roots
9. What is the sum of the roots of the quadratic equation x²+6x–14=0? a. -7 b. -6 c. -3 d. 14
10. What is the product of the roots of the quadratic equation x²+6x–14=0? a. 6 b. -6 c. 14 d. -14
11. What is the sum of the roots of the quadratic equation x²+x–56=0? a. -7 b. -6 c. -3 d. 14
12. The length of a garden is 5m longer than its width and the area is 14m². How long is the garden? a. 9m b. 7m c. 5m d. 2m
13. The length of a wall is 12m more than its width. If the area of the wall is less than 50m², which of the following could be its length? a. 3m b. 15m c. 4m d. 16m
14. It takes Joel 3 hours more to do a job than it takes Redin. If they work together, they can finish the same job in 2 hours. How long would it take Joel to finish the job alone? a. 3 hours b. 5 hours c. 6 hours d. 8 hours
15. A 12cm by 16cm picture is mounted with border of uniform width on a rectangular frame. If the total area of the border is 288cm², what is the length of the side of the frame? a. 8cm b. 16cm c. 20cm d. 24cm
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