Exam #3
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