The answers are marked in red color.

  1. Find the slope if it exists o the line containing the pair of points (2, 9) & (6, -7) The slope M= -4

Slope m = (y1 –y2) / (x1 –x2)

= (9 – (-7)) / (2 – 6)

= 16 / -4 = -4

  1. 4[-93-(-4-76)] = 4 [ -93 –(-80)]

= 4 [-93 + 80]

= 4[-13] = -52

Solving the inner brackets first

  1. Graph the equation using the slope and the y-intercept y=x+8 Use the graphing tool to graph the line Use the slope and y-intercept when drawing the line.

I am using Excel as graphing tool. I have also attached the excel sheet.

  1. Graph the line containing the given pair of points and find the slop (0, 4) (-3, -2). Use the graphing tool on the right to graph the line. Make sure to use the two given points when graphing the line. Find the slope of the line

Slope m = (y1 –y2) / (x1 –x2)

= (4 –(-2))/ (0-(-3))

= 6 /3

M= 2

  1. Determine whether (-7, 9) is a solution to the equation of 5x+7y=10. Yes or No

For x = -7 and y = 9 , The equation becomes

5 * -7 + 7 * 9 = -35 + 63 = 28 ≠ 10

Thus (-7, 9) is not a solution

  1. Use < or > to make the statement true. -3_3

-3 < 3

  1. Solve using the multiplication principle -6x> The solution set is {xIx _ _}

{x | x > -1/18}

  1. Find the indicated outputs for f(x)=4-5x F(0)=_F(-1)=_ F(2)=_

F(0) = 4 (0)2 – 5 * 0 = 0

F (-1) = 4 (-1)2 – 5 (-1) = 4 + 5 = 9

F(2) = 4 (2)2 – 5(2) = 16 – 10 = 6

  1. Media services charges $40 for a phone and $20 a month for its economy plan. The equation C=20T+40 describes the total cost C, of operating a media services phone for T months. The toal cost for 4 months of service is $__

For T = 4

C = 20 * 4 + 40 = 120

If a customer has only $90 available, how many months of service can she receive? A.2 B. 2 C. 2 D. 3

For C = 90

90 = 20 T + 40

50 / 20 = T

T = 5/2 =2 ½

Thus the correct answer is option B

  1. Graph on a number line where x is a real number -4<x≤4?

Mark the point 4 on the number line

  1. 0.7x+7≤1.5x-8 Thesolution is {xIx _ _}

0.7x – 1.5x ≤ -8 -7

-0.8x ≤ - 15

x≤ 18.75

{xIx ≤ 18.75 }

  1. Trains A & B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveling at 80 miles per hour. Train A passes a station at 4:20pm. If train B passes the same station at 4:35pm at what time will train B catch up to train A?

The train B will catch up with train B at 5:20

  1. Determine the slope of the line if there is a solid line that is on (-1,0) and (0, 3) M=3

Slope m = (y1 –y2) / (x1 –x2)

= (0 – 3) / (-1 -0) = 3

  1. Solve the following system of equation x+5y=6 (1)

X=4-5y (2)

What is the solution of the system? Type an ordered pair____

N – No Solution

  1. Find the slope and the y-intercept F(x)=-5x-2 The slope is ___the y-intercept is (0, __)

The "slope-intercept" form y = mx + b

"m" is the slope and "b" gives the y-intercept.

M = -5 and y- intercept (0, -2)

  1. for m=48 and n=15 answer is ? ____7

(48 + 15) /9 = 7

  1. 11u+4v-3u-6v=8u -2v
  2. Find the slope if it exists x=-7 M=___

X = -7 is vertical line. A vertical line's slope is undefined meaning it has "no slope."

  1. Solve using the multiplication principle x= The solution is 27/25
  2. Graph the equation and identify the y-intercept y+6=-6 Using the graphing tool graph equation The y-intercept is -12
  1. the solution is x=-11/3
  2. Use the intercepts to graph the equation x+5y=10. Graph the line use the intercepts when drawing the line. If only one intercepts exists use it and another point to draw the line
  1. Question already answered
  2. Decide whether the pair of lines is parallel, perpendicular or neither: 4x+5y=7 and 5x-4y=6

4x + 5y = 7

5y = 7 -4x

y = 7/5 – 4/5x

slope1 = -4/5

5x – 4y = 6

-4y = 6 -5x

y = -6/4 + 5/4 x

slope2 = 5/4

slope1 * slope2 = -1

Thus the pair of lines are perpendicular

  1. -0.7x<-42 The solution is {xIx<60}
  2. The equation y=1777x+27153 can be used to predict the number year of gun deaths in the U.S. x years after 200, that is x=0 corresponds to 2000, x=2 corresponds to 2002, x=5 corresponds to 2005 and so on. Predict the number of gun deaths in 2005 and 2008. In what year will the number of gun deaths be 9383?___ In 2005?____ In 2008?_____

In 2005, x=5

y = 1777x + 27153

y = 1777 * 5 + 27153

y = 36038

In 2008, x = 8

y = 1777x + 27153

y = 1777 * 8 + 27153

y = 41369

9383 = 1777x + 27153

9383 – 27153 = 1777x

x = -10

Thus 9383 deaths would be in year (2000 – 10) = 1990

  1. Solve and graph y-3>-16 The solution is {yIy>-13} Line graph?____
  2. 5x≥15 the correct solution is A. {xIx <3} B. {xIx ≤3} C. {xIx ≥3} D. {xIx >3}
  3. 8x-(5x+7)=14 x=___7_

8x -5x -7 = 14

3x = 21

x = 7

  1. Solve by using the elimination method 4x+5y=1

8x+10y=2 What is the solution of the systems? Type an ordered pair____

N – No solution

  1. Solve using the additions multiplication principles 2+6x<38 The solution is {xIx _ _}

2 + 6x < 38

6x < 38 – 2

x < 36/6

x < 6

{xIx<6}

  1. -4/35
  2. Find the domain of the function g(x)=

Solving for x which makes the denominator zero

2 – 7x = 0

-7x = -2

x = 2/7

the domain of function is (-∞, 2/7)U (2/7, ∞)

  1. Find the domain of the function p(x)=-2x+3 What is the domain of P? A. xIx is a real number B.xIx ≠3 C. xIx≠0 D. xIx>0

Solving for x which makes the expression non-negative

x2-2x+3 ≥ 0

Solution for this quadratic equation is real number. Thus correct answer is option A.

  1. Use the distributive property to solve 8(w-2)=-16

8w – 16 = -16

8w = 0

W = 0

  1. Solve by the substitution method 9x+7y=-10 and x=15-4y Type an ordered pair (-5,5)

9x + 7y = -10

Substitute x = 15 – 4y

9 (15 – 4y) + 7y = -10

135 – 36y + 7y = -10

-29y = -145

y = 5

x = 15 – 4y = 15 -4*5 = -5

  1. Solve by elimination method 7r-2s=19 and 2r+7S=66 Type an ordered pair_____

7r – 2s = 19 ------equ 1

2r + 7s = 66 ------equ2

Multiply equ1 by 2 and equ2 by 7

14r – 4s = 38 ------equ3

14r + 49s = 462 ------equ4

Subtract equ3 – equ4 , we get

-53s = -424

s = 8

Substitute s = 8 in equ 1

7r – 2*8 = 19

7r = 19 + 16

r = 35/7 = 5

(r,s) = (5,8)

  1. -13 ≤4x-6≤-1 The solution is xI___≤x≤____

Adding 6 to all the sides

-13 +6 ≤ 4x ≤ -1 + 6

-7 ≤ 4x ≤ 5

Dividing by 4

-7/4 ≤ x ≤ 5/4

  1. Question answered
  2. 50% of what number is 25?____

Let the number be x

50% is 50/100 = 0.5

0.5x = 25

x = 50

  1. Plot (0,5) on coordinate axes
  1. On consecutive passes a football team gains 7 yards, loses 28 tards and gains 35 yards. What number represents the total net yardage?____

+7 – 28 + 35 = 14

  1. The width of a rectangle is 20 cm What lengths will make the perimeter greater than 72 cm?

Perimeter = 2(length + width)

72 > 2 (l + 20)

36 > l + 20

16 > l

Length greater than 16

  1. Question answered
  2. Question answered
  3. 5>-4x+4 or 10≤-2x+5 What is the solution to the inequality: A. (-∞, ∞) B. (-∞,- ] (, ∞)

C. (-∞, - ] D. (, ∞)

5>-4x+4

1 > -4x

-1/4 < x

10≤-2x+5

5 ≤ -2x

-5/2 ≥ x

When we divide or multiply an inequality by a negative number, the sign of the equality changes.

47. The function H described by H(x)=2.75X+71.48 can be used to predict the height in centimeters of a woman whose humerous is x cm long. The predicted height of a woman whose humerous is 39cm long is ___ cm

H(39) = 2.75 *39 + 71.48 = 178.73

48. In 1995, the life expectancy of males in a certain country was 66.3 years. In 2000 it was 68.7 years. Let E represent the life expectancy in year T and let T represent the number of years since 1995. The linear functiuon E(1) that fits the data E(T)=___+____ (round to the nearest tenth) Use the function to predict the life expectancy of males in 2008 E(13)=____ (round to the nearest tenth)

It is given that E(0) = 66.3 , Life expectancy in 1995

E(5) = 68.7, Life expectancy in 2000

E(T) = E(0) + T * C

Where C is some constant

Thus E(5) = E(0) + 5*C

68.7 = 66.3 + 5C

C = 0.48

Thus E(T) = 66.3 + 0.48T

E(1) = 66.3 + 0.48*1 = 66.78

E(13) = 66.3 + 0.48*13 = 72.54

  1. Solve using multiplication principle 7x=-49 x=-7
  2. Solve for the indicate letter E=6F, for F the solution is F= E/6
  3. Graph equation y=6
  1. Graph the system of inequalities y≥-4 x≥5

Series1 x≥5

Series2y≥-4

  1. Question answered
  2. Amy paid 59.63 for a pair of running shoes during a 15% off sale What was the regular price? $____

15% off means Amy paid (100 -15) = 85% of the regular price

Let the regular price be x

0.85x = 59.63

x = 59.63 /0.85 = 70.15

  1. Use intercepts to graph equation x+4y=8
  1. Translate to an algebraic expression The product of 28% and some number

28% is 28/100 = 0.28

Let some number be x

Thus the algebraic equation is 0.28x