Problem Solving
Powers and Exponents
O.O.O.
Sequences
Scientific Notation
100
The 4th Step to Problem Solving is to Examine. This is one question you might ask yourself during this step.
What is "Does my answer make sense?" or "Is my answer reasonable compared to my estimate?"?
100
2 to the 4th power, evaluated.
What is 16?
100
It's the special word we use to remember the order of operations - and how you spell the word.
What is PEMDAS?
100
It's how we would classify the following sequence: 2, 6, 18, 54, 162, ...
What is geometric?
100
It's 5x10^6 in standard form.
What is 5,000,000?
200
This is the last thing you should check during the 3rd Step to problem solving, after you have carried out your plan and solved the problem with a strategy that works.
What is make sure the answer has the correct label (if necessary)?
200
5 to the 3rd power, evaluated.
What is 125?
200
2+(6x4÷3)
What is 10?
200
It's the next term in the following sequence: 4.3, 4.6, 4.9, 5.2, 5.5, 5.8, ...
What is 6.1?
200
It's 90,000,000,000 in scientific notation.
What is 9x10^10?
300
These are 6 strategies we discussed in class.
What are guess and check, look for a pattern, make an organized list, draw a diagram, act it out, solve a simpler problem, use a graph, work backward, eliminate possibilities, estimate reasonable answers, use logical reasoning, make a model, split the problem into smaller parts, and write a number expression?
300
8x8x8x8x8x8x8x8x8, in exponential form.
What is 8 to the 9th power?
300
4(21-8x2+2)-9
What is 19?
300
It's the next term in the following sequence: 3, 6, 12, 24, 48, ...
What is 96?
300
It's 6.23467x10^3 in standard form.
What is 6,234.67?
400
It is the extra information in the following problem: "Billy was driven 0.6 miles to school this morning. After school he walked to soccer practice, which was 0.2 miles away. Billy was then driven 0.5 miles home after soccer practice. What is the total number of miles Billy was driven today?"
What is "After school he walked to soccer practice, which was 0.2 miles away."?
400
It's another way of saying "to the third power."
What is "cubed"?
400
(9-4)3+(64-5x10)
What is 29?
400
It's the next term in the following sequence: 3600, 1800, 600, 150, 30...
What is 5?
400
It's 67,089,000 in scientific notation.
What is 6.7089x10^7?
500
It's a possible strategy you can use solve the following problem, as well as the answer to the problem: "Sarah, Patty, Ralph, and Kyle are each wearing different colored shirts. Sarah is not wearing the blue shirt or the green shirt. Patty is wearing the yellow shirt. Kyle is not wearing the red shirt or the blue shirt. What color shirt is Ralph wearing?"
What is draw a picture, act it out, or use logical reasoning and Ralph is wearing the blue shirt.
500
It's the result when you raise any number to the 0 power.
What is 1?
500
5x6-2(10÷5+4)+(18-6x2)
What is 24?
500
It's the next 3 terms in the following sequence: 76, 98, 120, 142, ...
What are 164, 186, and 208?
500
It's 5 billion 200 million in scientific notation.
What is 5.2x10^9.
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