1. what is the product of the roots of the quadratic equation x²+5x+4=0 is ? A. -4
B. 4
C. -5/4
D. 5/4
2. one of the solutions of the quadratic equation 6x²+11x+3=0 is -1/3. what is the solution ?
A.-3/2
B.-2/3
C.3/2
D. 2/3
3. what are the roots of 3x²+10x+8=0 ?
A.{-4/3,-8}
B.{4/3,8}
C. {4/3,2}
D. {-4/3,-2}
4. if the sum and the product of the roots of quadratic equation are -4 and 4 respectively ,then the equation is _____.
A. x²+4x+5=0
B. x²+5x+4=0
C. x²-4x-5=0
D. x²+5x+4=0
5. which of the following is not a quadratic equation?
A. x(x+7)=2
B.x³+6x+9=0
C. x+3x²=0
D. 2x-4=x²
6. which of the following is the correct translation of the statement , " the sum of the two consecutive Integra is 13 "?
A. x+2x=13
B. x(x+1)=13
C. x+(x+1)=13
D. x+(2x+1) =13
7. which of the following quadratic equation maybe solved approximately by factoring?
A.x²+3x-5=0
B.2x² +7=0
C.x²+5x+4=0
D.x²+4x+5=0
8.what is the sum of the roots of the quadratic equation 2x²+3x+1=0?
A.-3/2
B.1/3
C.3/2
D.-1/3
9. whats are the roots of the quadratic equation 5x²+15x -20=0?
A. 1 and 4
B.4 and 5
C. 1 and -4
D. 5 and -4
10. which of the following quadratic equations can be solved easily by extracting square roots
A.6s²-9s + 12=0
B.5y² + 7y - 51 =0
C. m²-81=0
D.t²-3t-10=0
11. the length of the garden is 9m longer than its width and the area is 36m².how long is the garden ?
A.12
B.9
C.6
D.3
12. The sum of a number and its reciprocal is 10/3. find the number
A.-3/5 or -5/3
B.3 or 1/3
C 3/5 or 5/3
D.-3 or -1/3
13.if one root of the rational algebraic equation
x + 8÷x-2=1 + 4x÷x-2 what id the other root ?
A.-2
B.2
C.5
D.7
14.the denominator of the fraction is 2 more than the numerator . if one is subtracted from both numerator and denominator , the resulting fraction has a value of 1/2 . whichof the following equations Best represent the given statement ?
A.x- 1 / x+2-1 =1/2
B.x+1 / x-2+1= 1/2
C.x / x-1 = 1/2
D.x-2 / x-1 = 1/2
the product of two consecutive integers is 63 . if one of the integers is -7,what is the other integers ?
A.-7
B.-9
C.7
D.9
16.what are the solutions of the quadratic equation x²-15x+56=0?
A.7 and 8
B.-7 and 8
C. -7and -8
D. 7and-8
17.which of the following method is best used when the value of b is zero ?
A. factoring
B. extracting the square root
C. Quadratic formula
D. Completing the square