Inequality Notation
Solving Inequalities
Solving Systems
Systems Word Problems
100
What is the interval notation for :
x<=5
(-oo, 5]
100
List 3 values for x that make the following inequality true:
x+4>10
Many solutions:
7,8,9,10,11,...
100
Determine if the point (3,−1) is a solution to the following system: you need work to support your answer here!
x+2y=1
2x-y=7
Yes because it makes both equations true.
100
Denisse bought 4 pens and 5 pencils which cost her $6.71. Emily bought 5 pens and 3 pencils which cost her $7.12.Write a system of equations that models this situations BUT DO NOT SOLVE.
4x+5y=6.71
5x+3y=7.12
200
Write the following as an inequality:
[8,oo)
x>=8
200
Solve the linear inequality: Write your answer as a number line, an inequality, and interval notation.
-3x+7<19
x> -4
(-4,oo)
200
3x+8y=5
x+8y=7
(-1,1)
200
A custom t-shirt company charges a 150 setup fee plus 8 dollars per shirt. If you plan to sell the shirts for 13 dollars each, write an equation would you solve to find the break-even point (x)?
150+8x=13x
300
Express the following as both an inequality and in interval notation: 
(-oo,-6)
x<-6
300
Solve the inequality 2(x−4)≤10 and express the result in interval notation.
(-oo,9]
300
3x=y+7
2x+y=13
(4,5)
300
Suppose you have 15 coins consisting only of dimes (d) and quarters (q), with a total value of 2.40 dollars. Write a system of equations that models this situation but DO NOT SOLVE.
d+q=15
0.10d+0.25q=2.40
400
Write the following as an inequality:
(-7,8]
-7<x<=8
400
Solve the compound inequality. Leave your answer as an inequality and in interval notation.
-5<2x+1≤7
-3<x<=3
(-3,3]
400
x+y+x=10
y-z=2
3z=9
x=2, y=5, z=3
400
A theater sold 500 tickets. Adult tickets cost 10 dollars and child tickets cost 5 dollars. If total receipts were 4000 dollars, how many adult and student tickets were sold?
300 adult tickets and 200 student tickets were sold.
500
Express the following as an inequality and in interval notation:
(-oo,-2) or (7,oo)
x<-2 or x>7
500
Solve the following inequality. Write your answer as an inequality and in interval notation:
1<-3x+4<=22
-6<=x<1
OR 1>x>=-6
500
4x-2x+3y=15
5y-2y+x+=12
(3,3)
500
Gavin is working two summer jobs, making $14 per hour tutoring and $13 per hour landscaping. Last week Gavin worked a total of 10 hours and earned a total of $137. Determine the number of hours Gavin worked tutoring last week and the number of hours he worked landscaping last week.
Gavin worked 7 hours tutoring and 3 hours landscaping.