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.
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 1253/625?