Name: Geometry & Intermediate Algebra Summer Assignment

Transcription

1 Name: Geometry & Intermediate Algebra Summer Assignment Instructions: This packet contains material that you have seen in your previous math courses (Pre- Algebra and/or Algebra 1). We understand that you might not remember all of it. Try each problem. Your packet will be graded on completion and effort. You can either print this packet or record all of your work on lined paper. If you are using lined paper, make sure everything is in order and easy to follow. If you would like a printed copy but do not have a printer, you can stop by the main office at the high school to request a copy. Complete each problem and show your work. Be prepared to turn in your work to your teacher on the Friday of the first week of school. You will have an opportunity to check all of your answers for accuracy. Your teacher will set a date early in the school year, at which time you will be tested on your knowledge of this material. This packet - combined with the test - will make up a total of 10% of your first marking period grade. Need Help? If there is a question that you do not understand, use Khan Academy ( and search on the topic noted in the assignment.

2 Name: Geometry & Intermediate Algebra Summer Assignment 2017 Show all work, even work that is done with a calculator. Do as much work by hand as possible. Evaluate. Write your answers to the nearest tenth. (Topic Operations with Decimals ) Evaluate. Write the answer in simplest fractional form. (Topic Operations with Fractions ) There are 22 students in a geometry class, 12 girls and 10 boys. Write each ratio in simplest form. (Topic Ratios in Simplest Form ) 9. boys : girls 10. girls : boys 11. boys : students 12. girls : students Solve the proportion. Write each answer to the nearest tenth. (Topic Solving Proportions ) 13.

3 Plot the points in a coordinate plane. State which quadrant or axes each point is located in or on. (Topic Graphing in the Coordinate Plane ) 17. A(3,1) 18. B(2, 4) Find the slope of the line that passes through the points. Tell whether the slope of the line is positive, negative, zero, or undefined. If the slope is zero or undefined, tell whether the line is horizontal or vertical. (Topic Calculating Slope from Two Points ) Simplify. (Topic Exponents and Radicals )

4 Evaluate the expression when. (Topic Evaluating Algebraic Expressions ) Use the distributive property to rewrite the expression without parentheses. Property ) (Topic Distributive Solve the equation. (Topic Solving Linear Equations )

5 Rewrite the equation so that y is a function of x. Form to Slope-Intercept Form ) (Topic Converting Equations from Standard Solve the inequality and graph the solution. Extend the number line as needed. and Graphing Linear Inequalities ) (Topic Solving Solve. (Topic Solving and Graphing Linear Inequalities ) 52. Find the product. (Topic Multiplying Binomials )

6 Simplify the expression. Write your answer as a power. (Topic Multiplying and Dividing Powers ) Evaluate the expression. (Topic Zero and Negative Exponents ) Simplify. Write the expression using only positive exponents. (Topic Zero and Negative Exponents ) 62. Find the probability. (Topic Probability ) 63. You have a bag with 56 marbles, 24 of which are blue. What is the probability that you choose a blue marble? 64. You toss two coins. What is the probability P that both are tails? Tell why each question may be biased. (Topic Survey Bias ) 65. "When driving, have you ever run a red light?" 66. "Some people say that students should be required to buy their own school textbooks, thus creating financial hardship for some students. Do you think students should have to buy their own textbooks?" Solve using a percent proportion. (Topic Calculating Percentages and Measures of Central Tendency ) is what percent of 50? is 45% of what number?

7 69. What number is 30% of 70? 70. Find the mean, median, mode(s), and range of the data: Tell whether the pairing is a function. (Topic Identifying Functions ) Make an input-output table for the function. Graph the function. Use 0, 1, 2, and 3 as the domain. (Topic Slope-Intercept Form from a Table ) 74. Sketch the graph of the function. Label the vertex. (Topic Graphing Quadratic Functions in Standard Form )

8 75. Solve the equation by finding square roots. (Topic Finding Square Roots ) 76. Solve the equation by any method. (Topic Solving Quadratic Functions ) x Graph and check to solve the linear system. (Topic Solving Linear Systems of Equations ) 79.

9 Use any method to solve the linear systems. (Topic Solving Linear Systems of Equations ) 80. Solve the linear system using elimination. (Topic Solving Linear Systems of Equations ) 81. Graph the system of linear inequalities. (Topic Graphing Systems of Linear Inequalities ) Classify each angle as acute, obtuse, right, or straight. (Topic Classifying Angles ) 84.

10 An angle that measures Find the perimeter and area of each polygon. (Topic Perimeter and Area of Quadrilaterals and Triangles ) You are shampooing your bedroom carpet. Your bedroom is 16 feet long 15 feet wide. One gallon of carpet shampoo covers 80 square feet of carpet. How many gallons of carpet shampoo do you need?

11 Find the circumference and area of the circle. (Topic Circumference and Area of Circles ) A circle has a diameter of 12 inches. Sketch the circle and find its circumference and area. Use the information about the figure to find the indicated measure. (Topic Perimeter of Rectangles ) 94. Perimeter = 84 ft Find the length l Use the Pythagorean Theorem to find the missing side of the triangle. (Topic Pythagorean Theorem )

12 97. Find the measure of the missing angle of each triangle. (Topic Triangle Angle Sum )