Warm-up for Integrated Geometry and Algebra I

Transcription

1 Summer Assignment Warm-up for Integrated Geometry and Algebra I Who should complete this packet? Students who will be taking Integrated Geometry and Algebra I in the fall of 018. Due Date: The first day of school How many of the problems should I do? ALL OF THEM How should I organize my work? You should show all work in a separate sheets of looseleaf paper. If a problem requires a graph, then you should use graph paper. Keep your materials in a folder. How will my teacher know that I ve done the work? Your teacher will collect your binder on the first day of school. Your teacher may choose to QUIZ or TEST you on this material if he or she feels it is necessary BE PREPARED! How well should I know this material when I return? You should recognize that you ve seen this material before, and you should also be able to answer questions like the ones in these worksheets. Note from your teachers: We feel that this summer work will truly help you succeed this year. We understand that summer is a time for relaxation and fun, but it is imperative that you spend some time before you return reviewing your materials. This packet is mandatory, and you must treat it as you would any other extremely important homework assignment. You will be held accountable for this material. We also highly suggest that you do a bit of it at a time in the weeks leading up to school don t leave it for the last day!!!

2 Warm-up for Integrated Geometry Instructions: Complete the problems on loose-leaf paper in pencil. If a problem requires a graph, please use graph paper and a ruler. Make sure that your work is neat and organized. Label each problem you are working on. If you skip a question, leave space to fill it in later! Complete all the problems carefully. Show enough work to indicate your method of solution. Make sure your work justifies your answer. Keep the packet and your work in a folder. Place your completed work in a report cover or -prong folder. Remember, your teacher will collect your work on the first day of school! Late work will be penalized and may NOT be accepted. This assignment should be done WITHOUT a calculator. What if I get stuck? - You should check out other additional study materials. Consult a standard algebra textbook. Find a study buddy or a classmate to help you remember the material. Consult the following websites for hints and examples:

3 Warm-up for Integrated Geometry Page 1 1. Simplify each expression using order of operations g b. + ( 5) d. ( ). Write an algebraic expression for each phrase. a number n is increased by 19 b. 4 more than twice x ten less than negative d. 5 more than the opposite of y. Simplify each expression. 1 + b g d Mrs. Hejna ordered 5 bags of seed of $7 each and wildflower seed kits for $9 each. She also paid a $1 shipping fee. Define variables, and then write an expression that shows the total cost of Mrs. Hejna s order. b. Use your expression from part a to find the total cost. 5. A square card table has a perimeter of 1 ft. Find the length of one side of the table. 6. Suppose you spend ¾ of your money on clothes and have $1 left. How much did you have before you bought the clothes? 7. Compare each fractions. Use >, <, or = to complete each statement b

4 Warm-up for Integrated Geometry Page d. 5 e f There are 60 minutes in an hour. What fraction of an hour is: 15 minutes? b. 10 minutes? 6 minutes? 9. Simplify each expression. 4 a a b. ( y ) 6 b b Write each number in scientific notation. 4,000,000 b Use the Distributive Property to simplify each expression and combining like terms. 5( a + ) b. 5 ( r ) + 9( 4 m) d. ( x+ )( x 1) 1. Suppose you take a number, subtract, multiply by 7, add 10, and divide by 5. The result is 9. What is the original number? 1. Mrs. Gautreau is hosting a large party. If one pie will serve eight guests, how many pies should she make for 100 guests? (Be sure to explain how to handle the remainder ) 14. Solve each equation. x 5 = 10 b. n + 10 = 7 5w = 1 d. y = 4y

5 Warm-up for Integrated Geometry Page e. ( k 4) = 6 f. ( ) x 9 + 5= Find the unknown number in each proportion. x 5 x = b. = x = The scale on a map is 1 inch to 16 miles. Two cities are 4.5 inches apart. What is the real distance between these two cities? 17. Mrs. Gautreau buys 6 pencils for $.0. How much is each pencil worth? 18. Evaluate the expression for the given value: a n 7 for n = 8 b. 4ab for a = and b = 5 6 b a + for a = and b = 7 d. 4x 8 for x = Plot and label the points in the coordinate plane. A = ( 5,1) b. B = (0,) C = ( 1, 5) 0. Find the slope between each pair of points. A = (8, ) & (4,1) b. (6, ) & (4,) (, 6) & ( 5, 1) 1. Graph each equation by making x-y table of values. y = x+ 4 x y = b. x y =

6 Warm-up for Integrated Geometry Page 4. Write each equation in y = form. y 15x 1 5y+ = y+ 4 x = b. ( ). Find the slope of each line shown in the graph. b. 4. Solve each inequality and graph the solution on the number line. 6 x 15 > b. ( x+ 6) 1 ( x) 5. Simplify each radical expression. 16 b