This post has examples or explanations for #1-27. I will post the rest in the next couple of days.
Each form has the same kind of problems, so I'll go through them by number.
Please email me if there is something you don't understand. I am here to help!
#1-7: You should know how to do these.
#8. To round repeating decimals, first write the repeat to one place past the place you are supposed to round. Here is an example:
If you are supposed to round to the nearest ten thousandth, write the repeating numbers until you are one place past the ten thousandth. Then, use that number to round to the ten thousandth. Your final answer will NOT have a repetend, (the little bar), because it will be rounded.
You can click on any image to make it bigger and easier to see.
#9. If you can say the decimal, you can write it as a fraction. Remember to reduce!
#10 & #12. Remember, exponents tell you how many times to multiply a number by itself:
#11 & #13. To write a number as a product of prime numbers using exponents means to do the prime factorization. Use the factor tree. Here is an example:
#14. To find the area of a complex shape, first divide the shape into squares and rectangles. Here is an example:
For #15-18, you are going to plug in the number given for each variable (letter) and find the value of the expression. Here is an example:
#19 - This is just a simple equation. You should know how to solve this!#20-23 - These are order of operations problems. Remember the order:
Parentheses - Exponents - Multiplication/Division - Addition/Subtraction
Simplify everything inside parentheses or other inclusion symbols, like brackets. Then, simplify exponents (if any). Then do any multiplication OR division - whichever is first from left to right. Then do any addition OR subtraction - again, whichever is first from left to right. Be sure you DO NOT add numbers that still need to be multiplied. That is the biggest mistake students make. Take your time!
Here is an example:
#24-25. For these problems, you will need to know some basic formulas for finding the area and circumference of a circle. I will do a few problems.
If you are given 9 as the diameter, to find the radius, divide by 2. It will be a decimal - 4.5
#26-27. You need to remember the rules for adding signed numbers. If the signs are the same, ADD and keep the same sign. If the signs are different, SUBTRACT, and use the sign of the bigger number. Here is an example:
