Chapter 1Chapter 2Chapter 3 Chapter 4 Chapter 6 Chapter 7Chapter 11 Chapter 13Chapter 12

 Ch Problem Solving Plan: a. read and understand b. make a plan c. solve the problem d. look back 2. Frequency Table -A table that groups data into intervals 3. Histogram -A graph where data is broken up into intervals 4. Numerical Expression-A mathematical statement using numbers and operations 5. Evaluate-To find the answer 6. Order of Operations: a. Grouping symbols b. Exponents c. Multiply and Divide from left to right d. Add and Subtract from left to right 7. Solve This Problem: 5 x ( ) + ( ) / x 4 +9 = 5 x / = = = = Algebra-The area of math where we use letters 9. Variable Expression-Its an Expression that contains numbers, variables, and at least 1 operation 10. Exponent-How many of the base to multiply 11. Base-The number that is multiplied together 12. Power-When a product is written as a base and an exponent 8 to the 2nd Power 13. Squared-To the second power 14. Cubed-To the third power 15. Equation-A math sentence that has an equals sign 16. Solving Equations-Find the number that makes the equation true 17. Solution-The number that makes an equation true 18. Write an Equation and Solve It: 3 x x Formulas-an equation that relates two or more quantities 20. Perimeter-The distance around/ sum of all sides P = 2L x 2 W 21. Area-The space inside of a shape A = LxW22. Variable A letter thatHistogramOrder of OperationsPower  represents a number Click on underlined terms to see an example. Home

Back to Chapter 1

Home Back to Chapter 1

Home Back to Chapter 1

 Problems: = = = = = (-7) = x -7 = x - 8 = x 2 = / -2 = / -3 = / 5 = -3 Commutative Property - going back and forth will be the same Associative Property - grouping symbols, can be moved without changing the problem Identity Property - it doesn't change Multiplicative Inverse - Flip the Fraction Distributive Property - it gives an equal amount Y Coordinate - Tells how far up or down the Y axis a point is in a coordinate system 8 Integer rules: 1. The sum of two positive integers will always be POSTIVE To get the answer you ADD 2. The sum of two negative integers will always be NEGATIVE To get the answer you ADD 3. The sum of two negative integers with different signs will have THE SIGN OF THE LARGER # To get the answer SUBTRACT 4. To subtract two integers, change the subtraction to ADDTION and change the sign of the second number to its OPPOSITE 5. The product of two integers with the same sign will always be POSITVE To get the answer you MULTIPLY 6. The product of two integers with different signs will always be NEGATIVE To get the answer you MULTIPLY 7. The quotient of two integers with the same sign will always be POSTIVE To get the answer you DIVIDE 8. The quotient of two integers with different signs will always be NEGATIVE To get the answer you DIVIDE Integers - the positive and negative numbers Absolute Value - How many places the number is from zero on a number line Coordinate System - is two intersecting number lines used to graph things X Axis - the horizontal number line in a coordinate system Y Axis - the vertical number line in a coordinate system Origin - The point where the number lines intersect in a coordinate system. Quadrant - The coordinate system is broken into 4 sections called quadrants. They get labeled with roman numerals. Ordered Pair - Two numbers that give the exact location of a point in a coordinate plane. X Coordinate - Tells how far across the X axis a point is in a coordinate system Coordinate System Home

Back to Chapter 2

 x+24= x=7 -3a= a x+10= x= x=23 - 6y > - 96 _ y > -16 y/9 = 14 x 9 x 9 y = 126 c - 12 = c = 38 x - 14 < x < To solve an equation you always try to find the number that makes the equation true. 2.You do the order of operations backwards. 3. Add: add, plus, more than, increased by, total, sum, greater than Subtract: minus, difference, decrease, fewer than, less than Multiply: times, product, multiply, of Dividing: divide, quotient, per 4. inequality - a statement formed by placing an inequality symbol between expressions 5. solution of an inequality - the set of numbers that you can substitute for the variable to make the inequality true 6. You reverse the inequality symbol when dividing or multiplying by a negative. Home

 Prime Numbers - a number greater than 1 whose only factors are 1 and itself. Composite Number - a number greater than 1 that has more factors beside 1 and itself Factor Tree - used to find prime factorization Prime Factorization - is finding which numbers are prime and multiply together to get the original number ex.36=2x2x3x3 Home Factors - numbers that divide into the original number evenly 48: 1,2,3,4,6,8,12,16,24,48 GCF - The highest number that goes into all of the numbers equally 12:1,2,3,4,6,12 60:1,2,3,4,5,6,10,12,15,20,30,60 The GCF is 12 Multiple - a number that can be equally divided by another number 4:4,8,12,16,20,24,28,32,36,40, etc. Common Multiple - a number that can be equally divided by the numbers that is shared by the numbers LCM - the lowest number that can be equally divided by all the numbers that is shared by all the numbers 8:8,16,24,32,40 10:10,20,30,40 To multiply two powers with the same base, you simply add the exponents. x 4 * x 7 = x 11 To divide two powers with the same base, you simply subtract the exponents. y 8 __ = y 4 y 4 To change a number with a negative exponent, you make it into a fraction with one as the numerator and the power as the denominator, but change it from a negative to a positive. ex = 1 _ 2 2 Anything to the zero power is equal to 1. Scientific Notation - A shorter way to write very large or very small numbers 1.23 * Standard Form - The regular way to write numbers

Home Write the order in which you solve multi-step equations (i.e. combining like terms, solving a 2-step equation, distributing, getting variables on one side) A. 1. distribute 2. get variables on one side 3. combine like terms 4. two step equation How can you tell if you have to combine like terms? A. If there is more than one coefficient followed by the same variable How can you tell if you have to distribute? A. If there is a number outside of a group of numbers in parentheses. How can you tell if you have to move variables to the same side? A. If there are variables on both sides. Solve the following equations: 5(x + 6) = 45 X=3 6y + 12 – 3y + 15 = 51 Y=8 2x + 14 = 4x – 10 X=6 3(x + 4) + 9x = 48 X=3 6(x – 7) + 8x = 7(x + 4) X=-1

Ratio- write this ratio as a fraction in simplest form and two other ways: 15 to to 8 3:8 Rate – comparing things with two unlike units Unit Rate – a rate with a denominator of 1 How do you change a rate to a unit rate? You divide both numbers by what you want the unit to be. For mph, you divide by how many hours. Scale Drawing – a drawing of something in a size relative to its size on Earth* Scale – the relation between size of a drawing and size on Earth A map has a scale of 1in = 150 miles. If two cities are 400 miles apart, how many inches apart are they on the map? 2 2/3 inches Using the same scale as above, if two towns are 4.5 inches apart on the map, how far apart are they in real life? 675 miles Home

Relation – a relation between mathematical expressions Input – what goes into the table to become an output Output – what number comes out of an input table Function – what you do to the input to get the output Domain – all the possible input values Range – set of all possible values Scatter Plot – a plot Solution of an equation with two variables Linear equation – an equation that, when graphed, forms a straight line Is the following a function? (2,3), (3,5), (7,2), (9,1) A. yes Name the domain and the range of the set of points above. Domain: 2,3,7,9 Range:3,5,2,1 Find three solutions of y = 6x + 5, and tell if this is a linear equation. (Y=17 x=2) (y=11 x=1) (y=23 x=3) Does the number of days we’ve been in school and how many days are left in the school year have a positive relationship, a negative relationship, or no relationship? A. Positive relationship Home

Range – the largest number subtracted by the smallest Mean – all of the numbers added then divided by how many there are Median – the middle number when the set of data is in order from least to greatest Mode – the number that occurs most often in the set of data Circle graph – a graphical display that shows data as part of a whole Line graph – points connected by line segments to show how things change over time Tree diagram – used to show all possible outcomes of an event Fundamental Counting Principal – way to calculate the number of possible outcomes Complementary – angles that measure to 90 degrees Unfavorable outcome – what you don’t want to happen Odds – the amount of favorable outcomes to the number of unfavorable outcomes Probability – the number of favorable outcomes to the total number of possible outcomes Independent events – an event where the outcome is not affected by another event Dependent events – an event that the outcome is affected by another event Use the following set of data to find the range, mean, median, and mode. 8, 10, 11, 8, 12, 19, 13, 12, 8, 10, 13, 8, 1 Range – 18 Mean – 10.2 Median – 13 Mode – 8 If Sally has 8 shirts, 4 pairs of jeans, and 3 pairs of shoes, use either a tree diagram or the fundamental counting principal to figure out how many different outfits she can make. Then find the probability that she wears her green shirt, dark jeans, and brown shoes. A. 96 outfits, 1/96 Home

Monomial – a single term Binomial – an expression with two terms Trinomial – an expression with three terms Polynomial – an expression with more than one term Standard Form – in a polynomial where the exponents are in order from greatest to least What do you do to multiply monomials? – you add the exponents and multiply numbers with the same variable What do you do to raise a power to a power? – you multiply the exponents together Do the following problems: Simplify: 3x 2 + 5x 5 - 4x + 12 – 2x , put it in standard form and classify it. A. 3x 5 + 3x 2 – 4x + 22, polynomial Add: (3y 3 + 2y 2 – 6y + 9) + (4y 3 – 8y 2 + 8y – 4) A. 7y 3 – 6y 2 + 2y - 5 Subtract: (6x 2 – 4x + 13) – (8x 2 – 9x + 5) A. -2x 2 + 5x - 8 Multiply: 6c 3 (5c 7 ) = 30c 10 Multiply: 4d 3 (3d + 7d 2 ) = 4d d 5 Simplify: (a 5 b 4 c 8 ) 3 = a 15 b 1 c 24 Simplify: (2x 5 ) 3 = 2 3 x 15 Home