Exam #3

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Simplify -7x^2 x 2x^5

-14x^7

Simplify -3x(5x^2+6x-1)

-15x^3-18x^2+3x

Simplify (-3)^7/(-3)^4

-27

Simplify (6a^2-4a+12)/(-2a^2)

-3+2/a - 6/a^2

Find the slope of the line going through the points (2,-6) and (-4,3)

-3/2

Simplify -5p^-1

-5/p

(1.2x^2-3x+9.1) - (7.8x^2-3.1x+8)

-6.6x^2+0.1x+1.1

(3/4 m^2-2/5m+1/8)+(-3/4m^2 - 3/10m+11/16)

-7/10m+13/16

Write the number 9.23 x 10^-3 in standard form

0.00923

Multiply and write the answer in scientific notation (5.2 x 10^-3)(2.1 x 10^7)

1.092 x 10^5

Simplify 3x^7y^7/12x^7y^9

1/4y^2

Simplify x^-2

1/x^2

Simplify 10a^0

10

Simplify (12x^5)(-x)

12x^6

Simplify (-4a^2b^3c)^2

16a^4b^6c^2

Simplify 6x x 4x

24x^2

Simplify (a^-3 b^2)^-4/(3a^-1 b^2)^-3

27a^9/b^2

Write an equation in standard form of the line with slope 2 passing through the point (0,3)

2x-y=3

(7y^2+9y-8) - (5y^2-8y+2)

2y^2+17y-10

Evaluate the polynomial when x= -2 x^3+2x^2-x+1

3

Write the number 3.68 x 10^5 in standard form

368000

Simplify 6m^2+2m/2m

3m+1

Simplify (t+2)(3t^2-4t+2)

3t^3+2t^2-6t+4

Simplify 9x^5-12x^2+3x/3x^2

3x^3-4+1/x

Write the number forty-nine thousandths in scientific notation

4.9 x 10^-2

Simplify (6a^5b^5)^2/(9a^7b^2)^2

4b^6/9a^4

Simplify (2x+y)^2

4x^2+4xy+y^2

Divide and write the answer in scientific notation (2.6 x 10^7)/ (5.2 x 10^-3)

5 x 10^9

Simplify 2m^2n x 3m^3n^2

6m^5n^3

Simplify (3x+2)(2x5)

6x^2-11x-10

Write the number seven million five hundred thousand in scientific notation.

7.5 x 10^6

Simplify (2/3)^2

9/4

Consider the polynomial -x+5x^3+3-2x^2 a- Write the polynomial in descending order of powers b- How many terms are there c- If the constant is dropped from the example, is the polynomial a monomial, binomial, or trinomial d- Identify the coefficients of each variable term e- identify the constant term f- Identify the degree of the polynomial

a- 5x^3-2x^2-x+3 b- 4 terms c- trinomial d- -1, 5, -2 e-3 f- 3

A tow truck charges $40 for an initial fee with zero miles towed. Beth paid $64 when she had her car towed 6 miles. Let y be the total cost in dollars of getting a tow for x miles a- write an equation in slope-intercept form representing the total cost to a client. b- Estimate the total cost to a client who is towed 25 miles

a- y=4x+40 b-$140

In the year 2000, the world. Tourism organization recorded that $475 billion were spent on tourism world wide. By 2012, they recorded $1075. a- Using these data points, calculate the slope. Simplify to a unit fraction. b- Interpret the meaning of the slope in the context of this problem.

a-50/1 b- tourism spending is increasing at $50 billion per year

New car sales were recorded in Maryland. Let x represent the year and y represent the numbers of cars sold. a- Using the graph, find the slope of the line using the beginning and ending years, rounded to the nearest integer. b- Interpret the meaning of the slope in the content of this problem. c- Estimate the number of cars sold in 2012

a-6/10 b-slope= -1019/1 about 1000 fewer new cars c-28,605 cars

Find the slope of the line 4x+3y=9

slope= -4/3

The slope of a vertical line is

undefined

Write an equation of the line that is perpendicular the x-axis and passes through the point (5,2)

x=5

Write an equation of a vertical line passing through (9,5)

x=9

(3x^2-6xy+5y^2) + (-2x^2+8xy-y^2)

x^2+2xy+4y^2

Write an equation in slope-intercept form of the line passing through the points (-1,2) and (3,-4)

y=-3/2x+1/2

Find the equation of a line given the slope is negative three-fifths and a point (1,5). Write it in slope-intercept form

y=-3/5x+28/5

Write an equation of a horizontal line passing through (2,-7)

y=-7

Find the equation of a line parallel to the line 2x-3y=7 and going through (0,1)

y=2/3x-1

Simplify x^-2 yz^-3/x^3 y^-2 z^-2

y^3/x^5 z

The slope of a horizontal line is

zero


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