Test Your Math Skills!?

Question

I am curious as to how current the public is on their math skills. These are some examples of Algebra Questions from an entrance exam for a junior college.

1. solve. - -114/16

2. 3/5 - 11/12

3. What is the square root of 12?

4. 24 / 3 squared / 8-5 - (-5)

5. x/4 -6 =1

6. 2x -5x=9

7. 1/2 (2x-6y +8)

8. 9n-3 (2n-1)=15

9. The sum of two numbers is fifteen. one less than three times the smaller is equal to the larger. Find the two numbers

10. Find the cost per ounce of a sunscreen made from 100 ox of a lotion that cost 2.50 per ounce and 50 oz of a lotion that cost 4.00 per ounce.

I will post answers to everyone who answers, so you can see how well you did! If you get everyone of these correct, you would be able to pass directly into college level math classes and not require Learning Support. Have Fun!

Answer 1

that guy is wrong
1.-15/8
2. -19/60
3.2root 3
4. what?
5.-2/3
6.-3
7.you need to make the problem more clear
8.oh i give up

Answer 2

1) 114/16 = (114/2) / (16/2) = 57/8

2) Finding a common denominator, 5 * 12 = 60. So, (3 * 12) / 60 - (11 * 5) / 6, giving you
(36 / 60) - (55 / 60) = -19 / 60

3) 3.46 approx.

4) I think you are writing it as this: (24 / (3^2)) / (8-5) - - 5
(24 / 9) / 8 = 24 / (9 * 8) = 1/3

5) If you are writing it as (x/4) - 6 = 1, then
(x / 4 = 7
x = 7 * 4 = 28

6) 2x - 5x = 9
-3x = 9
x = -3

7) 1/2 (2x - 6y + 8)
Distributing, x - 3y + 4

8) 9n - 3 (2n - 1) = 15
Distributing, 18n^2 - 9n + 6n + 3
18n^2 -3n + 3 = 15
18n^2 - 3n - 12
Using quadratic formula,
(3 +/- sqrt(9 - 4(18 * -12)))/ 36
An exact answer would be:
(3 + sqrt(873)) / 36 or (3 - sqrt(873)) / 36
Which is approximately equal to .9047 or -.7374.

9) x + y = 15
3x - 1 = y
x + (3x - 1) = 15
4x - 1 = 15
4x = 16, x = 4
4 + y = 15
y = 11

10) You answered your own question: you said "find the cost per ounce of a sunscreen made from 100oz of a lotion that costs 2.50 per ounce"; therefore it costs 2.50 an ounce. The same thing with the other one; it costs 4.00 an ounce.

ps: I'm a math major in college.

Answer 3

1.7.125 or 7 1/8
2.- 19/60
3.2sqrt3 or3.4641
4.24/3^2/8-5-(-5)
=24/9/8-5+10
=24/9/13
=24x1/9x1/13
=24/117
5.x/-2=1
=>x=-2
6.2x-5x=9
=>-3x=9
=>x=9/-3= -3
7.x-3y+4
8.9n-3(2n-1)=15
=>9n-6n+3=15
=>3n=12
=>n=12/3=4
Add the following
9.Let the smaller number be x.Then the greater no. is 15-x
by the problem
3x-1=15-x
=>3x+x+15+1
=>4x=16
=>x=16/4=4
Therefore the smaller no. is 4 and the greater one is 15-4=11
10. Cost of 150 oz.of sunscren
=2.50*100+4.00*50
=250+200
=450
Cost of 1 0z of subscreen=450/150
=3.00

Answer 4

144/16 = 9

3/5 - 11/12 = 19/60

square root of twelve = 4 square root of 3

24/3 squared/ 8-5-(-5)= 8

x/4 - 6 =1 = x= 7/4

2x-5x=9 = x= -3

9n-3(2n-1)= 15 = n=4

Answer 5

1. 57/8 or 7 1/8
2. -19/60
3. 2 rad 3 (or 2 times the square root of 3)
4. 2
5. x=28
6. x= -3
7. x-3y+4
8. n=4
9. x=4, y=11 or (4, 11)
10. $3.00 per oz

*Crosses fingers* I finished high school years ago, so I hope I can still remember this stuff.

Answer 6

1 = 9
2 = -19/60
3 = 3.4641
4 = 1/3
5 = X=28
6 = X=-3
7 = x-3y+4
8 = n=6
9 = 4 & 11
10 = $3

Answer 7

144 / 16 = 9

- - - - -

3/5 - 11/12 =

36/60 - 55/60 =

- 19/60
- - - - - - - - - -
√12 = √4 √3

2 √3

- - - - - -

x/4 - 6 = 1

4(x/4) - 4(6) = 4(1)

x - 24 = 4

x - 24 + 24 = 4 + 24

x = 28

- - - - - - - - -

2x - 5x = 9

- 3x = 9

- 3x/3 = 9 / - 3

x = - 3

- - - - - - - --

1/2(2x - 6y + 8)

x - 3y + 4

- - - - - - - -

9n- 3(2n - 1) = 15

9n - 6n + 3 = 15

3n + 3 = 15

3n + 3 - 3 = 15 - 3

3n = 12

3n / 3 = 12 / 3

n = 4

- - - - - - - - -s-

Answer 8

40

Answer 9

1.-7 and 1/8
2.-19/60
3.2square root of 3
4. 8
5.x=28
6.x=-3
7.???-what will i find here? simplify? x-3x+4
8.n=4
9.smaller number is 4, bigger is 11
10.???

Answer 10

That' a nice trick to do your home work