Discuss the below:
Q: Determine whether the ordered pair is a solution of the inequality.
(-9,4); 8x+y<-9
In this case , is the ordered pair a solution?
Yes_____ no________
1.) A bank offers two checking plans. The Anywhere plan charges 20 cents per check. A AccuCheck plan costs $0.54 a month, plus 14 cents per check.
For what number of checks will the AccuCheck plan cost less than the Anywhere plan?
Choose the range of checks which will cost less under the AccuCheck plan than under the Anywhere plan.
a) more than 9 checks
b) 9 or more checks
c) Less than 9 checks
d) 9 checks
2.) Solve by the elimination method.
0.3x-0.2y=4
0.5x+0.5y= -
What is the solution of the system?
(Type an ordered pair. Type an integer or a fraction. Type N if there is no solution Type I if there are infinitely many solution.)
3.) Hockey teams receive 2 points when they win and 1 point when they tie. One season a team won a championship with 60 points. They won 9 more games than they tied. How many wins and how many ties did the team have.
How many wins did the team have?
How many ties did the team have?
4.) Determine whether the given numbers are solutions of the inequality.
x-3 9;, -2,3,6,13
Is -2 a solution? __________yes or __________no
Is 3 a solution? ____________yes or __________no
Is 6 a solution? Yes ___________or __________no
Is 13 a solution? Yes ___________or __________no
5.) The perimeter of a rectangle is 134 inches. The length exceeds the width by 41 inches. Find the length and the width.
The length is _______inches.
(Type an integer or a decimal)
The width is ______inches.
(Type an integer or a decimal)
7.) [5m-(m+4)]
Use set-builder notation to describe the complete solution.
{m|m__ ___}
6.) Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.
3x-9y=9
x-6y=-8
What is the solution of the system of equations? ______________
(Type an ordered pair. Type N if there is no solution. Type R if the solution is all real numbers.)
Is the system consistent or inconsistent?
Are the equations dependent or independent?
7.) Solve by the substitution method.
4x+6y= -20
-9x+y= 74
What is the solution of the system? _____________
(Type an ordered pair. Type N if there is no solution.)
8.) Solve
1.3(7x+4) 1.8-(x+5)
9.) Solve
5y+6y
10.) Write interval notation for the set {x|-5
Choose the correct interval.
A.) (-5,5)
B.) [-5,5]
C.) (-5,5]
D.) [-5,5)
11.) Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.
3x+y=3
4x+5y= -7
What is the solution of the system of equations? ____________
(type an ordered pair. Type N if there is no solution. Type R if the solution is all real numbers.)
Is the system consistent or inconsistent? A)______________inconsistent
B)______________consistent
Are the equations dependent or independent?
A)_______________dependent
B)________________independent
12.) One canned juice drink is 25% orange juice, another is 5% orange juice. How many liters of each should be mixed together in order to get 20L that is 7% orange juice?
How many liters of the 25% orange juice should be in the mixture? _________L
How many liters of the 5% orange juice should be in the mixture? ___________L
13.) A cellar phone company offers a contract for which the cost C, in dollars, of t minutes of telephoning is given by C=0.25(t-500)+77.95, where it is assumed that t minutes. What times will keep costs between $121.70 and $155.70?
For the cost to be between $121.70 and $155.70, the telephoning time must be between _______minutes and __________minutes.