Due in 3 hour
1.04 commutative, associative, and distributive properties quiz
which number sentence shows the commutative property of addition?
7 + 6 = 13
7.6=42
7 + 6 = 6 + 7
7 + (4 + 6) = (7 + 4) + 6
use the commutative property to identify which expression is equal to .
4.3+7.3
3.(4+7)
(4+7.3)
what is missing for the following quantity to be true? 5x + 7y + 9a = __ + 5x + 9a
7y
9a
5x
10x
which number sentence shows the associative property of addition? choose all that apply.
(8 · 3)(y)(3 + 7) = (8)(3 · y)(3 + 7)
(3 + 9) + 5 = 3 + (9 + 5)
5z + 3p = 3p + 5z
12 + (3 + 9) = (12 + 3) + 9
use the associative property to identify which expression is equal to (21)(7)(3x).
(21.7.3)x
(7)(21)(3x)
32(7+3x)
(3x)(7)(21)
what is missing for the following quantity to be true? 6x.7a).2=)
6x
2
7a
42
use the distributive property to decide which of the following is equivalent to 2(3 + 5x)? select all that apply.
2(3) + 2(5x)
6 + 10x
2 + 8x
-6x
which value of a would make the following statement true? -5(6x + a) = -30x + 40
8
6
-8
-6
which of the following is equivalent to ?
2x - 4y
2x + 4y
2x - 12y
6x - 12y

Which number sentence shows the commutative property of addition?

7 + 6 = 6 + 7

What is missing for the following quantity to be true? 5x + 7y + 9a = __ + 5x + 9a

7y

Which number sentence shows the associative property of addition? Choose all that apply.

(3 + 9) + 5 = 3 + (9 + 5)

12 + (3 + 9) = (12 + 3) + 9

Use the distributive property to decide which of the following is equivalent to 2(3 + 5x)? Select all that apply.

2(3) + 2(5x)

6 + 10x

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!