if 4m+3n4m−3n=52, find the ratio m:n
7:4
4:3
3:4
4:7
Correct answer is A
4m+3n4m−3n=52
5(4m−3n)=2(4m+3n)
20m−15n=8m+6n
20m−8m=6n+15n
12m=21n
2112=mn
m:n=7:4
If y−32<2y−13, which of the following is true?
y > 7
y < -7
y > -7
y < 7
Correct answer is C
y−32<2y−13
3(y−3)<2(2y−1)
3y−9<4y−2
3y−4y<−2+9
−y<7
y>−7
x+36
x+86
x−116
x−46
Correct answer is C
2x−13−x+32
= 2(2x−1)−3(x+3)6
= 4x−2−3x−96
= x−116
(6x - 5)(x + 4)
2(3x-5)(x+2)
(3x+4)(2x-5)
(3x-4)(2x+5)
Correct answer is D
6x2+7x−20
= 6x2+15x−8x−20
= 3x(2x+5)−4(2x+5)
= (3x−4)(2x+5)
Evaluate x2+x−22x2+x−3 when x = -1
-2
-1
−12
1
Correct answer is D
x2+x−22x2+x−3
= x2+2x−x−22x2+3x−2x−3
= x(x+2)−1(x+2)x(2x+3)−1(2x+3)
= (x−1)(x+2)(x−1)(2x+3)
= x+22x+3
At x = -1,
= −1+22(−1)+3
= 11
= 1