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Add/Subtract
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Fractions
Decimals
Word Problems
100
#7) -61 - 28
What is -89 (Use KCC, then add same sign)
100
#16) -48 ÷ -3
What is 16 (2 negative signs, answer is positive)
100
#10) 1/4 - 7/8
What is -5/8 (change to least common denominator then change to equivalent fractions, then combine numerators 2 - 7, keep denominator and the sign on the answer is -)
100
#25) 12.3 - 8.1 + 2 (1/10) ∙ 0.4 - 1.6
What is 3.44 (PEMDAS rules: identify operations, complete M first. change 2 (1/10) to 2.1 first. Now complete A,S from Left to right using 2 numbers at a time.)
100
#31) When you wake up on Monday, the temperature is -18 F. During the day the temperature rises 13 F. By the time you wake up on Tuesday, it has dropped 19 F. What is the temperature when you wake up on Tuesday?
What is -24 (-18 + 13 - 19)
200
#6) 35 - 140
What is -105 (subtraction use KCC, then add different signs)
200
#13) -5 ● 11
What is -55 (one negative sign, answer is negative)
200
#12) -6 1/7 + 3 5/14
What is -39/14 (change mixed to improper, then change to least common denominator, then subtract numerators, keep denominator, reduce if necessary)
200
#26) (25.7 + 4) / 3 + 0.8 ∙ 2
What is 11.5 (PEMDAS: identify operations, complete P, D, then M, then A)
200
#32) Tim dug a hole that was 16 (1/2) inches deep. He left a pile of dirt next to the hoe that was 8 (3/4) inches high. Show how you could use subtraction to find the distance from the top of the pile of dirt to the bottom of the hole.
What is 25 (1/4) (8 3/4 - [-16 1/2])
300
#9) -8 - (-150)
What is 142 (subtraction-Use KCC then add opposite or different signs)
300
#34) A hiker descended 320 feet in 40 minutes. Find the hiker's average change in elevation per minute.
What is -8 feet per minute (-320/40)
300
#19) (-5)/ 8 ∙ 8/15
What is -1/3 (-5 ∙ 8) / 8 ∙ 15) (then reduce)
300
#33) Daniel bought four bags of potatoes. The weight of the first bag was 2.6 pounds. The second bag weighed 0.4 pounds less than twice the weight of the first bag. The third bag weighed 0.6 pounds more than the first bag. The fourth bag weighed 0.3 pounds less than the weight of the second bag. What is the average weight of the bags of potatoes that Daniel bought?
What is 3.775 lb ((2.6+ {2 ∙ 2.6-0.4} + 0.6 + 2.6 + [{2 ∙ 2.6-0.4}-0.3])) / 4 to find the average
300
#35) A hot air balloon descends 305 feet per minute for 4 minutes and then ascends at a rate of 215 feet per minute for another 2 minutes. Find the total change in the balloon's altitude.
What is Descent of (down) 790 feet. (-305 ∙ 4 + 215 ∙ 2)
400
#8) 128- (-73)
What is 201 (subtraction-use KCC)
400
#14) -30 ∙ (-4)
What is 120
400
#23) -(2/5) / -(8/15)
What is 3/4 (change vertical to horizontal, since it's division of fractions, use keep first fraction, change operation to multiplication, then flip the second fraction, then use multiplication rules: multiply numerators, multiply denominators, reduce or simplify)
400
#36) Suppose you deposit $12.50 into your savings account each week for 4 weeks and then withdraw $4.80 each week for the next two weeks. Find the total change in the amount of money in your account.
What is $40.40 increase (12.50 ∙ 4 - 4.80 ∙2)
400
#41) Over a period of 5 years, the enrollment at a college changes from 12,000 students to 14,000 students. Find the percent change in enrollment.
What is 16.66...% increase (14,000 - 12,000) / 12000 ∙ 100%
500
#4) 46 + (-17) + 38
What is 67 (Use PEMDAS, add different signs, then add same sign)
500
#39) Martin uses 24 boards that are each 5 3/4 feet long to build a tree house. The wood costs $1.65 per foot. Find the total cost of the wood.
What is $227.7 (24 ∙ 5.75 ∙ 1.65)
500
#29) (1/3 - 1/4) / (1/8 + 1/2)
What is 2/15 (rewrite vertical to horizontal, create least common denominators in numerator, then denominator, create equivalent fractions, then subtract numerators, keep denominators, then use keep, change, flip, then use multiplication: across numerators, across denominators, simplify or reduce)
500
40) James bought 8 baseball caps for $12.99 each before sales tax. The sales tax in his state is 6%. How much must James pay in total?
What is $110.16 shortcut method: {(8 ∙ 12.99) ∙ 1.06} because I'm paying 100% of the cost of the caps and 6% more for tax, so 106% which is written as 1.06 as a decimal for calculating cost
500
#37) A game show awards 30 points for each correct answer and deducts 50 points for each incorrect answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?
What is -10 points (2 ∙ -50 + 3 ∙30)