please help with my math problems?

Question

simplify:
-4 (-2 + 1)

simplify:
4 - 8 (times) 5 (divided by) 4 + 9

simplify:
( 8 + 9 times 2 divided by 9 - 8) divided by 2

simplify:
9 divided by 3 times 3 -5 + 4

Answer 1

1. This is called the Distributive property, where you distribute one value to multiple values by multiplying each separate value with the same value.

-4(-2 + 1) = -4(-2) + -4(1) = 8 - 4 = 4

2. For this you use the Order of Operations. For this we use the acronym:

P = Parenthesis
E = Exponent
M = Multiplication
D = Division
A = Addition
S = Subtraction

We follow this in order from P to S, if there aren't any of those present, then we ignore that particular letter.

4 - 8*5/4 + 9

= 4 - 40/4 + 9

= 4 - 10 + 9

= 4 - 19

= -15

3. For this you use the Order of Operations again.

(8 + 9*2/9 - 8)/2

= (8 + 18/9 - 8)/2

= (8 + 2 - 8)/2

= (10 - 8)/2

= 2/2 = 1

4. Order of Operations again:

9/3*3 - 5 + 4

= 9/9 - 5 + 4

= 1 - 5 + 4

= 1 - 9

= -8

Answer 2

# 1=-12
# 2=17
# 3=2 r 1
# 4=8

Answer 3

-4(-2+1) = (-4)(-2) + (-4)(1)
8 + -4 = 4


4 - 8 (5/4) +9 = 4 - 40/4 +9
4 - 10 +9 =3

8 + 9(2/9) - (8/2) = 8 +2 - 4 = 6

9/3(3-5)+4 = 27/3 - 45/3 + 4 = - 18/3 +4 =-3+4=1

Answer 4

1.) -4(-2 + 1)
-4(-2) + -4(1)
8 + -4
8 - 4
4

2.) 4 - 8 x 5 / 4 + 9 (order of operations)
4 - 40 / 4 + 9
4 - 10 + 9
-6 + 9
3

3.) (8 + 9 x 2 / 9 - 8) / 2 (order of operations; PARENTHESIS COME FIRST)
(8 + 18 / 9 - 8) / 2
(8 + 2 - 8) / 2
(10 - 8) / 2
(2) / 2
1

4.) 9 / 3 x 3 - 5 + 4 (order of operations)
3 x 3 - 5 + 4
9 - 5 + 4
4 + 4
8

Answer 5

1. you distribute...-4(-2+1)= 8 - 4 = 4
2. pemdas.... 4-8(5)/4+9= 4-40/4+9=4-10+9=-6+9=15
3. (8+9(2)/9-8) /2 = (8+18/9-8)/2 = (8+2-8)/2= 2/2=1
4. 9/3(3)-5+4=3(3)-5+4 = 9-5+4 = 4+4= 8

Answer 6

4
0
13
-9

-4(-2+1)=(-4)(-1)=4
4(-8 x5)/4 +9=0
8+( 9 x2/ 9-8)/2= 8+18=26/1=26/2=13
9/3 x3(-5+4)= 9/3 x 3(-1)=3 x-3= -9

Answer 7

-4(-2+1)=-4(-1)=4
4-8*5/4+9=-4*5/13=-20/13
(8+9*2/9-8)/2=17
9/3*3-5+4=8