# Algebra 1

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**Shevani, help me**
.

1.Simplify the expression below

(-2w^3)^5 / 8w. What is the value of the exponent on "w" ?

2.Simplify the expression (4x^2 - 3x +1) - (x^3 +2x +7). What is the coefficient of the x term in the simplfied expression?

3. Jack Watson is wroking in a lab making microchips for computers. he uses a "super tool" that measures the size of a transitor on a microchip by magnifying the transitor to twice its actual size and measuring the magnified size. The actual size of the transitor must be within 4 nanometers of the magnified industry standard. Theindustry standard for the actual size is 80 nanometers. The inequality below models the range of the actual size of the transitor.

-4 <or equal to 2(x -80)<4. Which graph correctly represents the range in which the actual transitor size for a particular transitor is within the industry standard ?

4.Use line with equations x + 5y = 5 and 5x + py = 5.

a. Find p if the lines are parallel

b. Find p if the lines are perpendicular

5.A line passes through the points (6,4) and (5,3). What is the equation of the line in point-slope form ?

a. x-6 = 7(y-4)

b. y-4 = 7(x-6)

c. y+6 = 7(x+4)

d. y-6 = 7(x-4)

Can you please solve these problems clearly so that I can follow it to understand, thanks, Please help me.