Jamie says that the expression 6x-2x+4 and 4(x+1) are not equivalent because one expression has a term that is subtracted and the other does not.

1. What is Jamie's claim?
A. the expressions 6x-2x+4 and 4(x+1) are subtracted.
B. the expressions 6x-2x+4 and 4(x+1) are opposites.
C. the expressions 6x-2x+4 and 4(x+1) are equivalent.
D. the expressions 6x-2x+4 and 4(x+1) are not equivalent

2. What property should be applied to the expression 4(x+1) to test Jamie's claim?
A. distributive property
B. associative property of addition
C. identity property
D. multiplication property of equality

3. What should be done to the expression 6x-2x+4 to test Jamie's claim?
A. Find a common factor
B. Combine like terms
C. Reorder the terms
D. Multiply by 4

1. D 2. A 3. Distribute the four in 4(x+1)

Step-by-step explanation:

1. It says that Jamie is saying that they are "not equivalent".

2. You have to use the distributive property to distribute the 4 to x and to the 1.

3. After distributing, compare the two expressions and now see if they are equivalent or not.

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!

just sum

10 + 10 = 20