Graphing
Solving
Word Problems
100
Graph the following on a number line and write your answer in interval and set notation.
x<5
IN: (-oo,5]
SN: {x|x<5}
100
Solve the following for x:
25x-10<45x+30
-40<20x
-2<x
{x|x>-2}
100
Name the villain in "The Little Mermaid"
Ursula
200
Graph the following on a number line and write your answer in interval and set notation.
2<x
IN: (2,oo)
SN: {x|x>2}
200
Solve the following for x:
1/3x+4<3
1/3x < -1
{x|x < -3}
200
Alfala is in the "HeManWomanHatersClub." Name one other member of the club from The Little Rascals.
Buckwheat, Porky, Froggy, Spanky, Stymie, Uh-huh, Bobby, Sing Joy, Tommy
300
What is the graph, interval and set notation for no solution?
IN: ()
SN: {O(strike through)}
300
Solve the following for x:
-4+x<3(x-2)-5x
-4+x<3x-6-5x
-4+x<-2x-6
2<-3x
-2/3>x
{x|x<-2/3}
300
DOUBLE JEOPARDY
Moravitz prefers to get about 6.5 hours of sleep a night. Too much sleep and he's too groggy, too little sleep and he's a grump. Moravitz can still be pleasant with a 0.75 hr variation. Write an inequality to represent the values of s for acceptable amounts of sleep for Moravitz at night (in hours).
5.75<s<7.25
400
What is the graph, interval and set notation for all reals?
IN: (-oo, oo)
SN: {R}
400
Solve the following for x:
3(4x-3)-(5x+4)>-22+9x-2x-3
12x-9-5x-4>-25+7x
7x-13>-25+7x
-13>-25
All Real Numbers
400
Translate the following into an inequality and solve.
-6 times a number is at least 12 less than the same number
-6n>n-12
-7n>-12
n<12/7
500
Name the Chinese dragon in Mulan
Mushu
500
Spongebob wants to buy Sandy a birthday gift. He wants to get her a new karate outfit. He's already saved $20 and can save $2 a week (stingy Mr. Krabs). He wants to spend no more than $54 on the outfit. How many weeks does Spongebob need to save? Write an inequality and solve.
w = # weeks
2w + 20 < 54
2w < 34
w<17
No more than 17 weeks