Rate/Ratio
Percent %
LCM/GCF
Multiplication/ Division
Algebra
100
Tammy drove 55 miles in one hour. At that rate, how far can she drive in 6 hours?
What is 330 miles?
100
A 250-pound man lost 50 pounds. Which of the following represents the portion of body weight lost? a. 0.05 b. 1/ 250 c. 10% d. 1/5
What is d. 1/5? 50/ 250= 0.2= 0.20= 20/100= 1/5, (simplify by dividing the numerator and denominator by the GCF of 20.)
100
LCM of 36 and 12
What is 36? List multiples of 36 and 12, 36: 36, 72, 108; 12: 12, 24, 36, 48
100
Simplify 8/12
What is 2/3? 8/4 = 2 12/4=3
100
Solve for y- y/6=7
What is 42? To solve for y, you must do the inverse of division, which is multiplication to both sides...
200
Jeff swims 20 laps every day. How many laps will he swim in one week?
What is 140 laps? There are 7 days in 1 week. 20/1= 7/x, = 140
200
A student correctly answered 15 out of 20 questions correct on a math quiz. What percent of the questions were answered correctly? a) 15% b) 60% c) 75% d) 95%
What is C) 75%? 15/20= 0.75= 75/100= 75% (% is a ratio with the denominator of 100)
200
What is the least common multiple of 3 and 5?
What is 15? List multiples of 3 and 5, 3: 3, 6, 9, 12, 15, 18; 5: 5, 10, 15, 20
200
Write the ratio 15 to 9 as a fraction in simplest form
What is 5/3? (improper fraction) What is 1 2/3? (mixed number)
200
15 = 2p + 9
What is p=3, (Subtract 9 from both sides, then divide by 2)
300
Mary Beth could jump 42 times in 3 minutes. How many times could she jump in 8 minutes?
What is 112 times? 42 jumps/ 3 minutes (find the unit rate for 1 minute) 42 divided by 3= 14 jumps/ minute, find how may jumps in 8 minutes 14 x 8= 112 jumps in 8 minutes
300
A pair of running shoes costs $123.75 and is on sale for 25% off the original price. Which price is closest to the sale price of the running shoes? a) $93 b) $99 c) $124 d) $14
What is A. $93? 25%= .25, 0.25 x $123.75= $30.94 (this is the amount off the original price...) $123.75- $30.94= $92.81
300
Omar is planting trees. He has enough trees to plant 6, 7, or 14 trees in each row. What is the least number of trees Omar could have?
What is 42 trees? LCM- To have enough trees... 6: 6, 12, 18, 24, 30, 36, 42; 7: 7, 14, 21, 28, 35, 42; 14: 14, 28, 42
300
Which is equivalent to 5 power of 3?
What is 125? 5 x 5 x 5= 125
300
The cost C in dollars of a monthly phone plan can be found using the equation C = 19.99 + 0.15x, where x represents the number of text messages sent. Use the equation to find the cost of sending 78 text messages in one month.
What is $31.69 C= 19.99 + 0.15x, x= 78; C= 19.00 + (0.15)(78), substitute 78 for the variable "x"; C= 19.99 + 11.70; C= 31.69
400
Rob could run 7 miles in one hour. At that rate, how far could Robo run in 3 hours?
What is 21 miles? 7 miles/ 1 hour (this is the unit rate). Now find how many miles in 3 hours= 7 x 3= 21 miles
400
You went to the mall with $80 and spent $52. What percent was not spent?
What is 35%? $80-$52= $28 not spent, $52/$80= .65% spent, $28/$80= .35% not spent
400
GCF (12, 20)
What is 4? 12: 1, 2, 3, 4, 6, 12; 20: 1, 2, 4, 5, 10, 20
400
If you practice a musical instrument each day for 2/3 of an hour, how many hours of practice would you get in each week? (Round to the nearest tenth)
What is 4.7 hours per week? 1 week = 7 days; 7 x 2/3= 4.666666= 4.7
400
Evaluate this expression 2/3x + 1/2, where x= 3/4
What is 1? When you evaluate an expression, you substitute the number for the x and solve. Remember PEMDAS; 2/3 (3/4) + 1/2= 6/12, (6/12 can be simplified to 1/2), 1/2+ 1/2= 1/2 + 1/2= 1
500
A paint color is made using 4 drops of red and 5 drops of blue for each 5 gallons of paint. How many gallons of paint are being colored when 45 drops of color are used?
What is 25 gallons? 4 parts red + 5 parts blue= 9 parts total (to make 5 gallons) 45 total drops used (Scale factor= 5)
500
Ashley plans to purchase an item that costs $20 before tax is added. Minnesota's tax rate is 6.5%. What will Ashley's total cost for the item be, including sales tax? Explain how you found your answer.
What is $21.30? 6.5%= 6.5/100= .065, .065 x $20 (total amount spent)= $1.30 (sales tax) $20 + $1.30= $21.30
500
Jill wants to put 45 sunflower plants, 81 corn plants, and 63 tomato plants in her garden. If she puts the same number of plants in each row and if each row has only one type of plant, what is the greatest number of plants Jill can put in one row? Explain.
What is 9? GCF- dividing the plants into rows. How many each row... 45: 1, 3, 5, 9, 15, 45; 81: 1, 3, 9, 27, 81; 63: 1, 3, 7, 9, 21, 63
500
Andy wants to buy 3 1/3 cups of cashews. There are 5/6 cup of cashews in each package. How many packages of cashews should Francis buy?
What is 4 packages of cashews? 3 1/3 divided by 5/6= 10/3 divided by 5/6= 10/3 x 6/5= 60/15= 4 packages
500
Even during sleep, the average human heart pumps around 80 gallons of blood per hour. Solve the equation g รท 80 = 24 to find how many gallons g the heart pumps in 24 hours.
What is 1920 gallons? In algebra you have to use the inverse operation to isolate the variable g. g/ 80 (80) = 24 x 80 (whatever you do to one side you must do to the other side.) g= 1920
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