Grade 9 Mathematics chapter 2

Welcome to your Grade 9 Mathematics chapter 2

After carefully reading the following 30 questions, choose the correct answer.

1. 
What is the general form of a quadratic equation?

2. 
Which of the following is the quadratic formula used to find the roots of ax2+bx+c=0?

3. 
In a system of linear equations {3x+y=11,y=x+2}, what is the value of x?

4. 
If the discriminant b2−4ac=0, how many distinct real roots does the quadratic equation have?

5. 
Solve the absolute value equation $

6. 
What is the sum of the roots of the quadratic equation ax2+bx+c=0?

7. 
Solve for x in the equation (x+5)3/2=8.

8. 
If ax=ay for a>0 and a=1, then:

9. 
Find the solution for x2+10x=−25.

10. 
Two tables and three chairs cost Birr 705. If a table costs Birr 40 more than a chair, find the cost of a chair.

11. 
The product of the roots of ax2+bx+c=0 is given by:

12. 
Which method involves eliminating one variable by adding or subtracting equations?

13. 
If the sum of the roots of x2+bx+c=0 is 10 and the product is 16, find c.

14. 
Solve the equation x2−3x=0.

15. 
A pump empties a pool in 7 hours and another in 12 hours. How long does it take together?

16. 
Find the value of k if x2+13x+k=0 has roots whose product is 30.

17. 
What is the first step in solving ax2+bx+c=0 by completing the square if a=1?

18. 
Three coffees and two makiatos cost Birr 17. Two coffees and four makiatos cost Birr 18. Find the price of a coffee.

19. 
Solve (x−4)2/3=25.

20. 
The expression b2−4ac in the quadratic formula is called the:

21. 
Find the solution for 2x2−5x+2=0.

22. 
For the equation ax2+3x+c=0, if the sum of roots is −3, find a.

23. 
If a field's length is three times the width and the perimeter is 100m, what is the width?

24. 
Which of the following equations is non-linear?

25. 
Solve for x in 321/5.

26. 
In the substitution method, what is the first step?

27. 
If ax2+bx+c=0 has only one real root, then b2 is equal to:

28. 
What is the solution set for x2+9x=0?

29. 
If (−27)1/3=x, find x.

30. 
Which value of x satisfies 125​3/625​?

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