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Transcript
I’ll use <= and >= instead of writing the
single symbol…
I write my fractions like this 3/8… that means
3 over 8.
1- Media services charges$ 40 for a phone and $ 30/ month for its
economy plan. The equation c = 30 t + 40 describes the total
cost,c,of operating a Media Services phone for t months
The total costs for 3 months of services is $ 130
If a costumer has only $ 110 available, how many months of
services can she recieve?
c) 2 1/3
Graph the equation of c = 30t + 40
It should look similar to this:
2- Solve.
8x- (3x+ 5) = 20. The solution x = 5
3- On three consecutive passes, a footbal team gains 7 yards,
losses 19 yards,and gains 42 yards. What number represnets the
total net yardage?
The the total net yardage is 30 yards
4-Graph.
m=( 3,-3 )
2
NOT SURE what’s going on here…
5-Find the indicated outputs for f(x) = 5x - 3x
Please confirm that it is 5x^2, not 5x…
f (0) =0
f(-1) =8
f(2) =14
6-Graph the inaquality on a plane.
4x+ 5y < 20
7- Solve
-0.8x< - 32 The solution is {xl___} ( type an inequality)
X > 40
8- Find the slop if it exisits
x = -2
m = N (slope is undefined) ( simplfy your answer. Type an interger
or a fraction. type N if the slope is undefiend)
9-Graph the equation.
y=8
horizontal line at y = 8
10- Solve using the addiction and multiplication priciples
1+ 6x < 55 The solution set is { xlx __ __ } ( Type an inequality
symbol then type an integer or fraction)
X<9
11- Graph the equation.
x + 2y = 4
12-Trains A and B are traveling in the same direction on parallel
tracks. Train A is traveling 80 miles per hour. Train B is traveling 84
miles an hour. Train A passes a station at 12:20 pm. If train B
passes the same station at 12:50 pm, at what time will train B catch
up with train A ?
When will train B catch up with train A _:_ A.M. or P.M.
80(t+0.5) = 84t
80t + 40 = 84t
4t = 40
T = 10
12:50 pm + 10 hours
= 10:50 am
13- 50 % of what munber is 45 The answer is ______
90
15- Find the domain of the function.
g(x) = 7____
6 - 7x
Check the correct domain below
X =/ 6/7 (x not equal to 6/7)
16- Solve
0.5x+7< 1.3x -4
The solution set is { xlx __ __ } ( Simplifly your answer.Type an
inequality symbol then type an integer or fraction)
X >= 13.75
17- Evaluate.
r + s for r = 38 and s = 7
9
r + s = ___ ( smplify your answer)
9
=5
18- Solve then graph
y-1 > - 17 The solution {yly > }
y > -16
-18 -17 -16 -15 -14
(------------
19- Graph the tline containing the givin pair of points and find the
slope
(1,2), ( -2,-5) Find the slope of the line m = ( Simplifly your
answer.Type an inequality symbol then type an integer or fraction.
Type N if the slope is undefind)
Slope = rise/run
(-5-2)/(-2-1)
= -7/-3
= 7/3
20-Determine weather ( 3,6) is a solution of
6x - 4y = 10 Is (3,6) a solution to the equation yes or no ?
6*3 – 4*6 does NOT equal 10
NO
22- solve by the substitution method
3x+ 7y = 26
x = 32 - 7y
What is the solution of the system (-3, 5) ( Type an ordered pair.
Type an N if there is no solution)
23- Solve
-8 < 3x-3 < -2
-5 <= 3x <= 1
-5/3 <= x <= 1/3
the solution {xl_ < x < __ } ( Type integer or fraction)
24The equation y = 1777x + 27,153 can be used to predict the
number y of gun death un the USA x years after 2000, that is, x = 0
corresponds to 2000, x = 2 corresponds to x = 2002, x = 4
corresponds to 2004 and so on. Predict the number of gun deaths in
2004 and 2009. In what year will the number of gun deaths be
9383
The predicted gun deaths in 2004 will be
20045
The predicted gun deaths in 2009 will be
20045
The predicted gun deaths will be 9383 in the year 2010
25- Solve by the elimination method.
3r - 2s = 0
2r + 3s = 13
Whats is the solution of the of the system (2, 3) ( Type an ordered
pair. Type an interger or a fraction. type N if their is no solution.
Type I if there is infinitely many solutions)
26-Solve using the multiplication mehtod.
-7x > 1
15
X < -1/105
The solution set is {xlx ___ __ } (Type an inequality symbol and a
fraction)
27- The width of a rectangle is fixed at 27 cm. what lenths will
make the perimiter greater than 98 cm.
The lenth must be greater than 22 cm.
28- Use the destributor property to help you solve the equation.
4(w - 4) = 14
4w – 16 = 14
4w = 30
W = 30/4
W = 15/2 (please confirm that you have typed this question correct,
since these usually come out to whole numbers)
w = ___
29- Solve.
5x+1x=5+x
8 16 16
Is this:
5/8 x + 1/16 x = 5/16 + x
???
If so:
The solution x = -1 ( simplify your answer. Type intger or fraction)
30- Solve by the elimination method
2x + 3y = 5
4x + 6y = 10 What is the solution of the system. ( Type an ordered
pair. Type an interger or a fraction. type N if their is no solution.
Type I if there is infinitely many solutions)
INFINITE solutions!
31- Solve.
5> 3x + 4 or 12 < - 3x + 5
1 > 3x or 7 <= -3x
1/3 > x or -7/3 >= x
(please confirm that you typed this exactly as shown)
Choice C:
(-inf, -7/3]
Choose the equation to the inequality.
a) (-oo,- 7 ] u ( - 1 ,oo) b) ( - 1 ,oo) c) (-oo,- 7 ] d) (-oo,oo)
3333
32- Graph on a number line, where x is a real number
-2< x < 2
-3 -2 -1 0 1 2 3
(---------]
33- Amy paid $ 64.31 for a pair of shoes during a 35 % off sale.
What was the regular price?
the regular price was $ 98.94 ( round to the nearest cent if
necesary)
34-Graph the equation using the slope and the y interception.
y=4x+6
3
35- In 1993, the life expectancy of males in a certain country was
68.8 years. In 1997, it was 70.9 years. Let E represent life
expectancy in year t, and let t represent the numbers of years since
1993.
The linear function E(t) that fits the data is
E(t) = 0.5 t + 68.8 ( round to the nearest tenth)
Use the funtion to predict the life expectanct of males in 2005
E(12) = 74.8 ( round to the nearest tenth)
36- Graph the equation
x + 4y = 8
37- Find the slope ,if it exist, of the line containing the pair of
points.
(1,6) and ( 4,- 3 )
the slope m = -3 ( Simplifly your answer.Type an integer or
fraction. Type N if the slope is undefind)
38- Decide weater the pair of lines is parallel, perpendicular, or
neither.
4x + 3y = 9
4x + 3y = 8
The lines are: c- parallel
39-Translate to an algebraic expression
The product of 11 % and some number
The translation is 0.11n
( type the percentage as a decimal use n to represent some
number)
40- The function H described by H(x) = 2.75x + 71.48 can be used
to predict the height, in centimetros, of a woman whose humerus is
x cm long.
Predict the height of the woman whose humerous is 39 cm long.
Predict the height of the woman whose humerous is 39 cm long is
178.73 cm.
41 Solve the following system of equations
x + 4y = 9 (1)
x = 2 - 4 y (2)
What is the solution of the system N (there is no solution) ( type an
ordered pair. Type N if there is no solution)
42- Soybean is 16 % protein: cornmeal 8 % protein. How many
pounds of each shuld be mixed together in order to get 320 lbs
mixture that is 14 % protein.
How many lbs of cornmeal 80
How many lbs of soybean 240
43- Solve than graph he solution.
8x > 32
X >= 4
34567
[-------Choose the correct solution
c) { xlx > 4 }
44- Graph the system of inequalities
y > -2
x>5
45- Use < or > to make the statement true
You wrote two different ones!
-4 > - 7
-4 > -17
46- Find the domain of the function.
2
p(x) = x - 2x + 2
what is the domian of p ?
b) { xlx is a real number}
47- Solve the indicated letter
a = 2b, for b
The solution is b = a/2
48- Solve using the multiplication principle. Dont forget to perforn a
check.
-1 x = - 7
28
Is the problem:
-1/2 x = -7/8
The solution is 7/4 ( Simplify your answer. Type an intenger or a
fraction)
49- Simplify 5 [ - 80- ( 2 - 17) ] = -325
50 Find the slope and the y interception.
f(x) = - 10x - 6
The slope is -10
The y interception is (0, -6).
51- Collect like terms
17c +7d - 14 c- 9d
17c +7d - 14 c- 9d = 3c - 2d
52- Plot (0,5) on the cordinates axes
Graph to plot the point (0,5)
53- solve using multiplication principle. Don't forget to perform a
check.
9x = - 63
The solution x = -7
54-Solve the system of equations by graphing. Then classify the
system as consistent or inconsistent and independent or dependant.
5x - 7y = - 35
7y - 5x = 35
a) Infinitely many solutions
Is the system consistent.
Are the euquations dependant
55- Multiply
1 .( - 3 )
72
1 .( - 3 ) = ____ (Type an integer or a simplifyed fraction. )
72
Is this:
1/7 * (-3/2)
= -3/14
56- Graph the equation and identify the y interception
y + x = - 10
The y interception is (0, -10) ( type an ordered pair)