7 th Grade Honors Algebra 1 Summer Assignment 2017 DUE: SEPTEMBER 13 TH , 2017 Name:_______________________________________________________ As an incoming 7 th grade Honors Algebra 1 student, it is important that you are proficient in several skills from previous math courses. This assignment contains examples of the skills you are expected to know, such as place value, whole number, decimal and fraction operations, as you enter your Advanced Math 6 class this September. **Completion of this packet will count towards your first assessment grade** **All students entering Math 7 Honors Algebra 1 will be assessed on the skills reviewed in this assignment ** If you need assistance with any of these skills, we strongly recommend that you utilize the videos that are provided for each section. Integer Operations 7.NS.1- Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Online Lesson and Practice: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers- add-and-subtract/cc-7th-add-and-sub-integers/v/adding-and-subtracting-negative- number-examples Online Practice: https://www.ixl.com/math/grade-7/add-and-subtract-integers PRACTICE PROBLEMS Show the addition on the number line. Then write the sum. 1. 2 + (−3) 2. −3 + (−4) _______________________________________ ________________________________________
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Honors Alg 1 Summer Packet 2017 - Franklin …...7th Grade Honors Algebra 1 Summer Assignment 2017 DUE: SEPTEMBER 13TH, 2017 Name:_____ As an incoming 7 th grade Honors Algebra 1 student,
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IntegerOperations7.NS.1-Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Online Lesson and Practice: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-and-sub-integers/v/adding-and-subtracting-negative-number-examplesOnlinePractice:https://www.ixl.com/math/grade-7/add-and-subtract-integersPRACTICEPROBLEMSShow the addition on the number line. Then write the sum. 1. 2 + (−3) 2. −3 + (−4)
Find the value of each expression. 5. 7 12 15− + + 6. 5 9 13− − −
_______________________________________ ________________________________________ 7.NS.2-Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. Online Lesson and Practice: khanacademy.org – Multiply and Divide Integers
3. The high temperature on Saturday day was 6°F. The low temperature was −3°F. What was the difference between the high and low temperatures for the day?
Use the distributive property to rewrite the expression without parentheses 1. 3(x + 4)
2. - (y – 9)
3. 2(3x – 1)
4. (2x – 4)(-3)
6.EE.4-Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them) Online Lessons and Practice:
7.EE.1-Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Online Lessons and Practice:
Solve1&2stepequationswithFractionsandDecimals6.EE.5-Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. Online Lesson:
• http://www.mathnook.com/math/bike-racing-math-algebra.html PRACTICE PROBLEMS
Write each sentence as an equation.
9. Eight less than 13
a number n is 13. 10. A number f multiplied by 12.3 is 73.8.
_______________________________________ ________________________________________ 7.EE.4-Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Online Lessons and Practice Problems:
variables/cc-6th-alg-expression-word-problems (Writing Algebraic Expressions) PRACTICE PROBLEMS
Here is a key to solving an equation.
Example: Solve 3x − 7 = 8.
Step 1: • Describe how to form the expression 3x − 7 from the variable x: • Multiply by 3. Then subtract 7.
Step 2: • Write the parts of Step 1 in the reverse order and use inverse operations: • Add 7. Then divide by 3.
Step 3: • Apply Step 2 to both sides of the original equation. • Start with the original equation. 3x − 7 = 8 • Add 7 to both sides. 3x = 15 • Divide both sides by 3. x = 5
Describe the steps to solve each equation. Then solve the equation. 1. 4x + 11 = 19
Write 2 variable equations for situations 6.EE.9-Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. 7.EE.4a-Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. Online Lesson-
Online Practice Problems: • https://www.ixl.com/math/algebra-1/write-a-function-rule-word-problems
PRACTICE PROBLEMS Write an equation with two variables to represent each situation. 1. The freshman class is planning a car wash to raise money for your class. The cost per car is $5 and your class already raised $75 from previous fundraisers. How much money can the freshman class make? 2. An electrician charges $80 for a house call plus $50 per hour. How much will the electrician charge? Givenanequation,createinput/outputtablestographaline6.EE.9- Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. OnlineLessonandPractice:http://www.buzzmath.com/Docs#CC06E137PRACTICEPROBLEMSCompleteeachinput/outputtableandthenplotthexandycoordinatesonthegraph.1.2.