1. ## Test Study Help

we recently had a test in my algebra class, as the end of 1st quarter test..almost everyone bombed it, including me. the best score in the entire class was 17/20 questions. we're allowed one retake a quarter, and i of course want to do this test, since i got a 12/20 and the second worst was a 18/20. i dont know if we have to redo the entire test, or just the ones we missed like we do with pretests, but i want to make sure i know everything just in case. that being said, i want to see some problems worked so i can make sure i know how..im only gonna post the ones i missed on both the pretest and real test, to save time.
Multiplication of Real Numbers.
1. Find the Product.
5x(-4x)(-3)(-1x)

4. Evaluate.
(|5 - x|) - 2x^2
when x = -3

Distributive Property.
5. Use distributive property to simplify.
(-2 + 4x)(-5x)

6. Simplify.
3x - (6 + 2x)

7. Simplify.
x^2 - 3(4 - x^2) - 7x

8. Simplify the Expression.
3x(5 - x) - x(2x - 3)

Division of Real Numbers.
12. Evaluate.
3a - 2b
ab
when a = negative five over three
b= negative one over two

Review.
20. Simplify
1and2/3 - 1/6
3and1/2

Bonus question.
Solve for X.
5x+3(x+4)=28

underlined numbers are numerators, and things like "2/3" and "1and1/2" are fractions. thanks in advance.

btw, im going to do volunteer work for two hours, so i wont respond for a while. thanks again.

2. The last three as follows:

12. 12. Evaluate.
3a - 2b
ab
when a = negative five over three
b= negative one over two

PLug in

$\frac {3(-5/3) - 2(-1/2}{-5/3 * -1/2}$

Multiply

$(3* -5/3) - 2(-1/2)= -15/3 + 2/2$

Simplify the fractions.

20. Simplify
1and2/3 - 1/6
3and1/2

Add 3/3 to 2/3 because you have $\frac 1{2}{3}$. You can't deal with that kind of fraction (the name escapes me).

Find the common denominator and put all numbers on the numerator as the number. Translation: the bottom of the fractions equal.

10/6- 1/6 over 21/6. Now you multiply the top and bottom fraction (21/6) by the reciprocal of the bottom fraction (6/21).

Simplify is possible.

Bonus question.
Solve for X.
5x+3(x+4)=28

$5x + 3x +12 = 28$
$8x +12=28$
$8x=16$
$x=2$

Finally, simplify if possible.

Add all the top numbers together.

3. Originally Posted by Nightfire
we recently had a test in my algebra class, as the end of 1st quarter test..almost everyone bombed it, including me. the best score in the entire class was 17/20 questions. we're allowed one retake a quarter, and i of course want to do this test, since i got a 12/20 and the second worst was a 18/20. i dont know if we have to redo the entire test, or just the ones we missed like we do with pretests, but i want to make sure i know everything just in case. that being said, i want to see some problems worked so i can make sure i know how..im only gonna post the ones i missed on both the pretest and real test, to save time.
Multiplication of Real Numbers.
1. Find the Product.
5x(-4x)(-3)(-1x)
if you can't see it all at once, take it a pair at a time:

$5x(-4x)(-3)(-x) = -20x^2(3x) = -60x^3$

4. Evaluate.
(|5 - x|) - 2x^2
when x = -3
recall that the absolute values always makes things positive, so if when you work out what's in the absolute value signs, you get a negative answer, just change it to positive and continue

when $x = -3$

$|5 - x| - 2x^2 = |5 - (-3)| - 2(-3)^2 = |8| - 18 = 8 - 18 = -10$

Distributive Property.
5. Use distributive property to simplify.
(-2 + 4x)(-5x)
take the -5x and multiply everything in the brackets

$(-2 + 4x)(-5x) = 10x - 20x^2$

now simplify

6. Simplify.
3x - (6 + 2x)
$3x - (6 + 2x) = 3x - 6 - 2x = x - 6$

7. Simplify.
x^2 - 3(4 - x^2) - 7x

8. Simplify the Expression.
3x(5 - x) - x(2x - 3)
try these on your own (do you know how to factorize quadratics?

4. Awesome, thanks! Hopefully I can get enough study time in today to get better than i did on the retake tomorrow. And i do not know how to factorize quadratics, we havent gotten that far yet. the last thing we did was Probability.

5. alright, question mostly based on paranoia right now.. its the day before the retake, and i want to make sure i have this right.
i know addition and subtraction needs labels identical, for example 5x+7x is possible, but 3+6x is not..is it the same for multiplication and division? if im remembering correctly, it works like: 3 • 2x = 6x, and 3 • x = 3x, but if the label effect works here i could potentially miss several problems. i know i should know, but i want to make absolutely sure. thanks

6. [quote=Nightfire;79760]alright, question mostly based on paranoia right now.. its the day before the retake, and i want to make sure i have this right.
i know addition and subtraction needs labels identical, for example 5x+7x is possible, but 3+6x is not..is it the same for multiplication and division? [quote]i'm not exactly sure what you're talking about here

if im remembering correctly, it works like: 3 • 2x = 6x, and 3 • x = 3x, but if the label effect works here i could potentially miss several problems. i know i should know, but i want to make absolutely sure. thanks
yes, that is correct

i hope this isn't too late, i never saw your question yesterday