Equations
Function Tables
Inequalities
Variables
Real World
100
Students at a summer math camp are grouped into three sections: “high flyers”, “on-timers”, and “up & comers.” Students who score higher than 65 but lower than 90 on their placement test are grouped in the “on-timers” section. Write an inequality that represents the placement test scores for the “on-timers.” Then sketch the inequality on a number line.
What is x is greater than or equal to 65 x is less than or equal to 90
100
x= 2| 3| 4 y= 7| 9| ? What is the rule and missing number?
What is (x*2) + 3 y=11
100
b-13<20
What is b<33
100
The formula for converting Celsius temperature to Fahrenheit is F= 9/6 C+27°. What Fahrenheit temperature is equal to 6 degrees Celsius?
What is 36°?
100
It took the Branks family 7 hours to drive 504 miles. What was their average speed for the trip?
What is 72 miler per hour (MPH).
200
Fishing Adventures rents small fishing boats to tourists for day-long fishing trips. Each boat can hold at most eight people. For safety reasons, each boat can carry 900 pounds of weight. Let p represent the total number of people. Write an inequality to describe the number of people that a boat can hold. Draw a number line diagram to show all possible solutions. Let w represent the total weight of a group of people wishing to rent a boat. Write an inequality that describes the total weight allowed in a boat. Draw a number line diagram that shows all possible solutions.
What is p is greater than or equal to 8. w is greater than or equal to 900.
200
x= 4| 10| 16| 20 y= 0| 3| 6 | ? What is the rule and missing number?
What is (x/2) - 2 y=8
200
x>47+9
What is x>56
200
Which equation has a solution of a = 6? A.) 12+a=72 B.) 12a=60 C.) 12-a=48 D.) 12a=72
What is D.) 12a=72
200
Each day Jamil runs 7 miles on the track. How many days will it take him to run 63 miles?
What is 9 days.
300
A town’s total allocation for firefighter’s wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter, write an equation whose solution is the number of firefighters the town can employ if they spend their whole budget? Then, solve the equation.
What is $40,000x + $20,000x= $600,000 x=10
300
x= 5| 25| 30| ? y=-1| 3 | 4 | 18 What is the rule and missing number?
What is (x/5) -2 x= 100
300
r-20<-50
What is r<-30
300
Solve. X + 22 < 29
What is x=7
300
Drinks at the concession stand cost $2.50 each. Candy bars are $1.00. If Rita has $10 and needs to by 3 drinks, how many candy bars can she buy?
What is 2 candy bars
400
Sierra walks her dog, Pepper, twice a day. Her evening walk is twice as far as her morning walk. At the end of the week, she tells her mom, “I walked Pepper for 42 miles this week!” How long is her morning walk?
What is Morning Walk= 2 miles Evening Walk= 4 4+2= 6 6*7=42
400
Miss Branks works out every day after school. For every 5 minutes of cardio she does, she must complete 10 minutes of weight training. However, within the 10 minutes of weight training, she takes a 1 minute water break. Using C for cardio and T for total time worked out. Complete a function table that displays 5 min, 10 min, and 20 min. What is the rule for the function table?
What is (C*2)-1 C= 5| 10| 20 T= 9| 19| 39
400
9x<81
What is x<9
400
Solve. n – 24 = 13
What is n= 37
400
Journey rides her bike 12 miles every day. How many weeks will it take her to ride 168 miles?
What is 2 weeks
500
A theme park has a log ride that can hold 12 people. For safety reasons, there is a weight limit of 1500 lbs per log. If the average adult weighs 150 lbs, the average child weighs 100 lbs, and the log itself weighs 200 lbs, then the ride can safely operate if the inequality 150A + 100C + 200 < 1500 is satisfied (A = number of adults and C = number of children). There are several groups of children of differing numbers waiting to ride. Group one has 4 children, group two has 3 children, group three has 9 children, group four has 6 children, and group five has 5 children. If 4 adults are already seated in the log, which groups of children can safely ride with them?
What is every group, except group 3 (9 children).
500
Beth is keeping a record of the number of miles she runs each week. The number of miles Beth will run this week is given by the equation m = 23 + 6t where m represents the total distance and t represents the number of hours she will spend running on the final day of the week. Please complete a function table that represents 1, 2, and 3 hours of running.
What is T= 1, 2, & 3 M= 29, 35, & 41
500
You have to be minimally 60 inches to ride the roller coaster at King's Island. What is an inequality to show how many inches you COULD be to ride the roller coaster.
What is x is less than or equal to anything above 60.
500
You have $120,000 to spend on a new wardrobe. You go to a mall where every piece of clothing is $40. However, with each piece of clothing that you buy, the mall charges you a tax of $20. How many articles of clothing will you be able to purchase? Please create an equation with a variable and then solve.
What is 40x+20x=120,000 x=2,000
500
The cost of shipping a package weighing less than 1 pound is $4.90. Which statement represents the weight, w, of a package that can be shipped for $4.90? A) w < 1 B) w > 1 C) w < 4.90 D) w > 4.90
What is C.) w< 4.90
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