1.) 4(x+3)
Find the GCF, Greatest Common Factor, of 4x and 12.
4x=2*2*x
12=3*2*2
The greatest common factor is 4. Put this outside of the parentheses. (You would multiply the 2*2)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Solution: 4(x+3)
To check, distribute to see if it works.
4x+12
2.) 2(4r+7)
Find the GCF of 8r and 14
8r=2*2*2*r
14= -1*7*2
The greatest common factor is 2. (There is only 1 two, so you would not multiply them.)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Multiply the 2*2*r as one addend and the -1*7 as the other.
Solution: 2(4r-7)
To check, distribute to see if it works.
8r-14
Do you get it now?
3.) 5(x+7)
4.) 7(2x+1)
5.) Cannot be factored.
32x-15
Find the GCF of 32x and -15
32x: 2*2*2*2*2*x
-15: -1*5*3
Because there are no similar factors other than 1, it cannot be factored.
6.) 8(4x+3)
7.) 3(2x-3)
8.) 24(1x+2)
9.) 9(-2x+8)
10.) Cannot be factored
11.) 8(1x+3)
12.) 50(1x+5)
Answer:
u = 16
Step-by-step explanation:
Given
u = 12
Multiply both sides by 4 to eliminate the fraction
3u = 48 ( divide both sides by 3 )
u = 16
x-0.1x=36
where x is the original price
0.1x is the discount (10% of the original price)
36 is the price paid
x-0.1x=36
0.9x=36
----- ----
0.9 0.9
x=40
The original price is $40.00
Answer:
2x + 11 = 25
x = 7
Step-by-step explanation:
Let the number be x.
Double of x and add 11 equals 25.
2x + 11 = 25
Solve the equation.
2x + 11 = 25
Subtract 11 on both sides.
2x = 25 - 11
2x = 14
Divide 2 on both sides.
x = 14/2
x = 7
Answer:
c.
Step-by-step explanation:
Negative numbers are always less than positive numbers. 3/10 is less that 1/4:
Making the answer c.
