SOL 6.3 Practice. 3. Absolute value is the distance from zero. True False

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1 SOL 6.3 Practice 1. The whole numbers include: a. zero and all positive numbers only b. negative numbers only c. both positive and negative numbers 2. Integers are: a. whole numbers and their opposites b. decimals and fractions c. numbers 3. Absolute value is the distance from zero. True False 4. The sign for absolute value is a. > b. < c. d Give an example of the following: Positive number: Negative number: 6. The absolute value of -9 is 7. Compare using >, <, or = Write the opposite of: Order from least to greatest: 89, -7, 0, -9, -2, 14 Write an integer that represents the following situations: 10. Brenda owes her sister $ Tommy deposited $50 in the bank 12. A balloon rose 72 feet in the air 13. A football team loses 30 yards 14. The temperature dropped 8 degrees last night

2 SOL 6.5 Positive Exponents and Perfect Squares Key Vocabulary --numbers that are multiplied --tells how many times to use the base as a factor, can be higher or lower than the base --the number that is multiplied --to find the answer/solve 4 3 Special Exponents: x 2 = x 3 = Powers Words Expression Value x 5 x 5 x 5 x 5 x 5 7 to the fourth power 9 3

3 6.5 Positive Exponents and Perfect Squares **When 10 is the base, the is the number of zeros Power of 10 Answer ,000 Evaluate Perfect Squares Key Vocabulary: : a number that is the square of an integer : inverse of squaring a number Perfect Squares: 2 2 = 3 2 = 4 2 = 5 2 = 6 2 = 7 2 = 8 2 = 10 2 = 11 2 = 12 2 = 13 2 = 14 2 = 15 2 = 20 2 = 9 2 =

4 SOL 6.8 Practice SOL: 6.8 Name: Date: Independent Practice Order of Operations, Exponents, Rational Numbers 1. What is the value of ? 2. What is the value of ? 3. Rakeem and his friends have found pencils around school. Each of his 7 friends has 20 pencils and Rakeem has 5 more than each of his friends. How many pencils do Rakeem and his friends have in all? 4. What is the value of ? 5. What operation should be performed first in the expression 3(4 1) 2 22? 6. What operation should be performed first in the expression 3(9 3 2 ) 2?

5 SOL 6.7 Practice Word Problems with Decimal Operations Name: 1. Kaitlyn loves to roller skate. She goes every weekend and skates as much as she can. Since she skated so much, she decided to buy her own skates. She looked at several stores and found a pair she liked for $ She has $ in her savings account. If she takes out the money to buy the shoes, how much money will be left in her savings account? 2. After the orchestra completed its program, there was a party to allow the patrons to mingle with the musicians. Kayla s Catering provided the food, drinks, and service for the party. There were two hundred seven guests. Kayla charges $27.00 per guest for food and $10.00 per guest for drinks. To that she adds $4.98 per guest for service. What was Kayla's total bill for catering the party? 3. Brady enjoys spending money at the hardware store. He gets along wonderfully with the owner. He bought a wrench for $9.63, a nail gun for $28.01, and a dozen nails for $4.49. He gave the owner a hundred-dollar bill. How much change did Brady get? 4. Ellen, Krista, and Tori decide to buy Mrs. Nivens a fabulous flamingo purse. The purse cost $20.67 (what a bargain). If each person contributes the same amount, how much will each person pay? 5. Tabetha, Cole, and Daisy have afternoon jobs. Tabetha earns $33.24 for 3 days of work. Cole earns $42.40 for 4 days of work. Daisy earns for 5 days of work. How much does each person earn per day?

6 Note for SOL 6.15 Measures of Center (Mean, Median, and Mode) and Range 6.15 The student will a) describe mean as balance point; and b) decide which measure of center is appropriate for a given purpose. Measures of center include: mean, median, and mode. Mean, median, and mode are measures of center that are useful for describing the average for different situations. Mean works well for sets of data with no very high or low numbers. Median is a good choice when data sets have a couple of values much higher or lower than most of the others. Mode is a good descriptor to use when the set of data has some identical values or when data are not conducive to computation of other measures of central tendency, as when working with data in a yes or no survey. The is the of the data set. Average is found by adding the numbers in the data set together and dividing by the number of data pieces in the set. can be defined as the point on a number line where the data distribution is. This means that the sum of the distances from the mean of all the points above the mean is equal to the sum of the distances of all the data points below the mean. The is the value of a data set in ranked order (least to greatest or greatest to least). If there are an odd number of pieces of data, the median is the middle value. If there is an even number of pieces of data, the median is the average of the two middle values. (Hint: add the two middle numbers and divide by two) The is the piece of data that occurs most. If no value occurs more often than any other, there is no mode. If there is more than one value that occurs most often, all these most-frequentlyoccurring values are modes. When there are exactly two modes, the data set is bimodal. is the difference between the number and the least number in a data set.

7 SOL 6.18 Practice Algebra Vocabulary Review #1 Identify each circled part as either the TERM (T), VARIABLE (V), or COEFFICIENT (C) 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 2x 73

8 SOL 6.18 Practice Course 1: Expressions, Equations and Inequalities I. Vocabulary Match the word with its definition coefficient term A. a combination of variables, numbers, and at least one operation B. A mathematical statement that two expressions have the same value. algebraic expression C. A mathematical statement containing <, <, >, or >. constant equation inequality variable D. a placeholder, usually a letter, used to represent an unspecified value in mathematical expressions or sentences. E. a number, variable, or a product of numbers and variables. F. The numerical factor of a term that contains a variable G. a term that does not contain a variable II. Identify the terms, constants and coefficients in the following equation: -2a c = 4b Terms: Constants: Coefficients: III. Identification: Identify each of the following as an expression, an equation, or an inequality. 1) 2x > 5 2) 7xy 3) 4x 8z = 9 4) 5 1< 12 5) 12x = 4s 6) 6xy + 3bc

9 SOL 6.18 Practice Add/Subtracting Equations A. To solve each question, what would you do on each side? 1. y 15 = 25 add n + 18 = = x w + 14 = m 27 = = x 50 B. Solve each Equation. SHOW ALL WORK x n d 553 d y n m k

10 Multiply/Dividing Equations HW A. To solve each question, what would you do on each side? n multiply k 3. 6n x y m 4 B. Solve each question. SHOW ALL WORK y n a 14 y 7 x 18 9x m y = 21

11 Name: Date: Ratio Problems Worksheet SOL 6.1 Solve.If the problem asks for a ratio, give it in simplified form. 1 a. A herd of 35 horses has 21 white and some black horses. What is the ratio of white to black horses? 2 a. Lily drew 8 hearts and 22 circles. What is the ratio of hearts to all shapes? 3 a. A bicycling club has 38 members, of which 3 are males and the rest are females. What is the ratio of females to males? 4 a. A math club has 30 members, of which 9 are males and the rest are females. What is the ratio of females to males? 5 a. A herd of 36 horses has 29 white and some black horses. What is the ratio of black horses to white horses? 6 a. A group of preschoolers has 25 boys and 14 girls. What is the ratio of girls to all children? Copyright Homeschoolmath.net - Permission to copy: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without permission.

12 SOL 6.1 Practice Write each ratio in three ways. Write your answer in simplest form. 1. triangles to total 2. circles to triangles 3. all figures to circle 4. triangles to squares 5. triangles to circles 6. squares to circles 7. square to all figures 8. squares to triangles 9. squares to total 10. total to squares 11. circles to total 12. circle to triangles 13. all figures to triangle 14. square to circles 15. triangle to circles 16. triangles to squares

13 17. all figures to circles 18. circles to all figures 19. total to triangles 20. triangles to squares

14 Representation Percent (per 100) SOL 6.2ab Practice Fraction Simplified x/100 Fraction 20% Decimal 0.20 or 0.2

15 SOL 6.2ab Practice presentation Percent Fraction Simplified Fraction 50% Decimal 0.50 or %

16 Name : Score : Teacher : Date : Converting Between Percents, Decimals, and Fractions Convert Decimal to Percent = 1.25 = 0.79 = 0.71 = 0.28 = = Convert Percent to Decimal 190 % = 81.4 % = 62 % = 164 % = 92 % = 61.6 % = Convert Decimal to Fraction 1.56 = 0.11 = 0.42 = = = 0.72 = Convert Fraction to Decimal 1 8 = = 1 20 = = 5 10 = = Convert Fraction to Percent = 5 8 = = 8 25 = 7 40 = = Convert Percent to Fraction 57.8 % = 81 % = 116 % = 25 % = 60 % = 118 % = Math-Aids.Com

17 CWK: Creature Coordinates SOL 6.11 Practice Name Date Block Bugs are a fact of life on a camping trip. Lightning bugs, beetles, spiders, mosquitoes, and other critters keep the campers company. Find the location of the creatures on the coordinate grid. Write an ordered pair of numbers to show the coordinates for each bug. Name the quadrant or axis that contains each point. 13. (7, -12) 14. (16, 21) 15. (-31, 24) 16. (0, 3) 17. (-7, -23) 18. (-30, 0)

18 PROPERTIES Opposite Sides Congruent Opposite Sides Parallel (or one pair) PROPERTIES OF QUADRILATERALS Put an X in the box if the property is true for that quadrilateral. PARALLEL- OGRAM RECTANGLE RHOMBUS SQUARE TRAPEZOID ISOSCELES TRAPEZOID KITE Diagonals Bisect Each Other Consecutive Angles are Supplementary Opposite Angles are Congruent Diagonals are Congruent All Angles are Right Angles All Sides are Congruent Diagonals Bisect the Angles Diagonals Intersect at Right Angles Base Angles are Congruent

19 SOL 6.13 Practice Name: Block:

20 6.12 Practice

21 6.12 Practice pg. 2

22 6.12 Practice pg. 3

23 Measurement SOL 6.9 Customary Metric Notes/Examples 1 inch ~ centimeters 1 foot ~ centimeters A little longer than a ~ inches 1 meter 1 mile ~ kilometers ~ mile 1 kilometer 1 ounce grams ~ pounds 1 kilogram 1 quart ~ liter 32 degrees Fahrenheit ~ Celsius Weight is the pull of gravity on the mass of an object Mass is the amount of matter in an object The mass of an object remains the same regardless of its location. The weight of an object changes dependent on the gravitational pull at its location. Water freezes at Water boils at Normal body temperature is Normal room temperature is

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