Answers are in red, check questions 8 and 9
1. Graph the inequality on a plane.
X + y <2
Graph a dotted line using (0,2) and (2,0) then select below it
2. Solve -8x> -6.4 The solution is {X I X ≤ 0.8}
3. Solve and graph the compound inequality.
4x-15 < -12 or x-6 > 2
Solution set: {x / x ≤ ¾ or x ≥ 8}
______]___________[_______________
¾
8
4. Determine whether the given numbers are solutions of
the inequality.
7, -14, -15,-2
y- 11>2y – 3
Is 7 a solution? yes or no
Is -14 a solution? Yes or no
Is -15 a solution? Yes or no
Is -2 a solution? Yes or no
5. X<6 and X>-3. Write the solution in interval notation.
Answer: [-3,6)
6. Graph the system of inequalities.
X+3y<9
3x+y<9
x>0
Y>0
7. Solve the system by the elimination method. What is the
solution of the system?
5x+ 2y= -11
7x-3y=19
Answer: (5/29,-172/29)
8. Solve the system of equation by graphing. Then classify
the system.
3x-9y=18 2x=6y= -14. What is the
solution of the system? Check the second equation please
Is the system consistent or inconsistent?
Are the equations dependent or independent?
Choose the correct graph.
9. A disc jockey must play ?? commercial spots during 1 hour
of a radio show. Each commercial is either 30 seconds or
60 seconds long. If the total commercial time during 1
hour is 8 min, how many 30-second commercials were
played that hour?
How many 60-second commercials?
How many 30 seconds?
How many 60-seconds?
Missing info
10. Solve and graph. 4x+6 >2 and 2x-25 >-17.
Solution set: {x/x≥4}
Graph _____[_____________
4
11.
Solve. Then graph. Y+1< 6
Solution set: {y/y<5}
Graph: _______)___________
5
12. Solve by the elimination method.
3x+4y=2 6x+8y=4. What is the solution of the system?
Answer: Infinitely many solutions
13.
Solve the system of equation by graphing. Then
classify the system. 5x+y=18 6x+7y= -19.
What is the solution of the system? (5,-7)
Is the system consistent or inconsistent?
Are the equations dependent or independent?
Graph.
14. Solve by the substitution method. What is the
solution?
3x +8y=41
-6x+y=37
Answer: (-5,7)
15. A cellular phone company offers a contract for which the
cost C, in dollars, of the T minutes of telephoning is given by
C=0.25(T-300) + 75.95, where it is assumed that T > 300
minutes. What times will keep costs between $114.20 and
$139.95? For the cost to be between$114.20 and $139.95, the
telephoning time must be between 453 and minutes and 556
minutes.
16. Bayside Insurance offers two health plans. Under plan A,
Giselle would have to pay the first $190 of her medical bills,
plus 35% of the rest. Under plan B, Giselle would pay the first
$200, but only 30% of the rest. For what amount of the medical
bills will plan B save Giselle money? Assume she has over $200
in bills. Giselle would save with plan B if she had more than
$330in bills.
17. The perimeter of a rectangle is 172 inches. The length
exceeds the width by 36 inches. Find the length and the width.
Length =61; width = 25
18. Determine whether the ordered pair is a solution of the
inequality.
(3, 12); 8y-9x >9 Is the ordered pair a solution of the
inequality? yes
19. Hockey teams receive 2 points when they win and 1 point
when they tie. One season, a team won a championship with 55
points. They won 11 more games than they tied. How many
wins and how many ties did the team have?
How many wins did the team have? 22
How many ties did the team have? 11
20. 0.7(3x+4) >1.3-(x+2)
Choose the correct solution set below.
A. {xIx< 35/31}
B. { xIx> 35/31
C. {xIX> -35/31
D. xIx< -35/31
21. 3[5m-(m+8)] > -4(m-7) Use set-builder notation to
describe the complete solution.
{m/m> 13/4}
Ask me if you have any doubt
Bonus is appreciated
Thanks
Steve