Unit 1 Review Today we are going to look back and review some of what we have learned! Please click through for reminders and links to reinforce & practice your skills!
Integer operations:
*For +/ – : Change subtraction to addition. Same sign = keep that sign Different sign = take sign of larger
*For ×/ ÷: Same sign = Positive & Different signs = Negative Ex) 5 – (-8) = ____ Final answer 13
**Change this to 5 + 8
Ex) (-2)(-7) = ___ **Same sign = positive Final answer 14
Click HERE for more practice with integer operations **you can skip #6, 7, & 10
http://amby.com/educate/math/integ_x1.html
Combining like terms: *Remember the variables need to be EXACTLY the same to combine them Ex) 4x + 3x2 – x + 5 = ____
**only the 4x & the –x are like terms here
Final answer 3x + 3x2 + 5
Click HERE for more practice with like terms https://maisonetmath.com/algebra/algebra-quizzes/289-combining-like-terms-2
Distribution: *Remember we are MULTIPLYING by the number outside the parenthesis Ex) 5(2x – 7) = ____
**We multiply the 2x & the –7 by the 5.
Final answer 10x – 35
Click HERE for more practice with distribution http://www.ixl.com/math/grade-6/distributive-property
Order of operations (aka PEMDAS): *Parenthesis first, then Exponents, the Multiply/Divide, and last Add/Subtract Ex) 4(-2 + 1)2 – 9 = ____
**In the parenthesis is -1. This number squared is 1.** Multiply by 4 gives us 4 and subtract 9 to get -5. Final answer ďƒ -5
Click HERE for more practice with order of operations https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-order-of-operations/e/order_of_operations_2
Exponent Rules: *If you are MULTIPLYING exponents with the same base, ADD exponents. *If you are DIVIDING exponents with the same base, SUBTRACT exponents. *If an exponent is raised to ANOTHER exponent, MULTIPLY exponents. *Anything to the ZERO POWER is equal to 1. *If you have a Negative EXPONENT, it will FLIP position.
Ex) (x4)(x3) = ____ Final answer x7
**Add the exponents
Ex) x9/x3 = ___ Final answer x6
**Subtract exponents
Ex) (x4)3 = ____ Final answer x12
**Multiply exponents
Ex) 7x0 = ___ Final answer 7
**Anything to the zero power = 1
Ex) 5/(x-3) = ___ Final answer 5x3
**Anything with a negative exponent “flips”
Click HERE for more practice with exponent rules https://quizlet.com/171531624/flashcards