Algebra 1: Basic Skills Packet Page 1 Name: Integers ( 30) ( 4)

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1 Algebra 1: Basic Skills Packet Page 1 Name: Number Sense: Add, Subtract, Multiply or Divide without a Calculator Integers ( 30) ( 4) Decimals Fractions

2 Algebra 1: Basic Skills Packet Page 2 Name: Fractions, Decimals, and Percentages Write each as a decimal. Use repeating decimals when necessary Write each as fraction. Reduce if necessary Write each as a decimal % % 11. 9% % Write each as a percentage Write as a fraction. Reduce if necessary % 18. 5% % %

3 Algebra 1: Basic Skills Packet Page 3 Name: Find the Greatest Common Factor (GCF) of each , , , v, 30uv Evaluate each expression using order of operations (4 + 5) 9. ( 7 3) Identify the point on the number line that matches each number Compare each set of numbers. Write >, <, = %

4 Algebra 1: Basic Skills Packet Page 4 Name: Complete the table to the right to create ordered pairs for the function. 1. y = 5x + 3 Graph each ordered pair on the graph provided. 2. A (-3, -4) 3. B (2, 0) 4. C (5, - 6) 5. D (0, - 7) Graph the linear function on the graph provided. 6. y = 2x +1 Graph each inequality. 7. b x < 3

5 Algebra 1: Basic Skills Packet Page 5 Name: Variable Expressions Match each term with the correct definition. 1. constant A. a mathematical phrase that contains operations, numbers, 2. expression and/ or variables 3. order of operations B. a mathematical statement that two expressions are 4. variable equivalent C. a process for evaluating expressions D. a symbol used to represent a quantity that can change E. a value that does not change Evaluate each expression for the given value of the variable. 5. 2x + 3 for x = n 5 for n = a for a = 2 Evaluate each expression for a = 4, b = 2, and c = b + c ab Write an algebraic expression for each verbal expression. Then evaluate the algebraic expression for the given value of y. Algebraic y = 9 y = y reduced by The quotient of y and more than y 14. The sum of y and 2 Give two ways to write each algebraic expression in words. 15. x (y)

6 Algebra 1: Basic Skills Packet Page 6 Name: Identify which of the following numbers are prime Rewrite the following as a product of prime numbers Round the following numbers to the hundredths place Find the value of the square root given Determine the Least Common Multiple for the pair of numbers given and and and and and 21

7 Algebra 1: Basic Skills Packet Page 7 Name: Determine which of the following is not equivalent %,, 0.06, , 0.625, 62.5 %, 625% 3. 83%,,, 0.82 Determine the fraction and percentage of an hour each time represents minutes minutes minutes 7.Janie bought 4 apples and 6 bananas. Each apple cost $0.75, and each banana cost $0.60. Find the total cost of Janie s purchase. 8. Write a phrase that could be modeled by the expression n + 2n. Find each unit rate. 9. $30 for 8 students packages in 6 days Solve each proportion

8 Algebra 1: Basic Skills Packet Page 8 Name: Calculate the area of each triangle shown. Include units in your answer Calculate the area of each quadrilateral shown. Include units in your answer Calculate the circumference of the circle. Include units in your answer For the circle at the right, name the following: 7. Center of the circle: 8. Radius of the circle: 9. Diameter of the circle:

9 Algebra 1: Basic Skills Packet Page 9 Name: Reorder each set of numbers from least to greatest %, 0.35,, 6.78% ,, 45%, %, 0.75, Convert each of the following measurements ounces to pounds 5. 3 feet to inches 6. 5 pounds to ounces 7. A pair of shorts cost $ The store is having a sale where all shorts are 40% off. What would be the cost of two pairs of shorts if you buy them during the sale? 8. While getting ready for school, you buy the following school supplies: pack of pencils - $3.50, calculator - $12.00, notebook - $2.50, and a binder - $2.75. If the store you are purchasing them at has a sales tax of 6%, what would be your final bill? 9. At dinner, the bill for the meal (including any tax) is $ You want to leave your waitress a 20% tip. How much should you leave for a tip? What would be your final total (bill and tip)?

10 Algebra 1: Basic Skills Packet Page 10 Name: Given the following values, calculate the average (mean) for the following numbers: 1. 24, 30.75, 12, 8 2., 5, , 7, 14, 21, 9 Identify the mode and median for each set of numbers. 4. 3, 2, 7, 3, 5, 3, , 1, 2, 9, 2, 4, , 1, 1, 5, 9, 8, 4, Mode: Mode: Mode: Median: Median: Median: Create a box-and-whisker plot from the following data set. 7. 1, 5, 7, 9, 11, 13, 19 Low: Quartile 1: Quartile 2/Mean: Quartile 3: High: Calculate the absolute value of each number given

11 Algebra 1: Basic Skills Packet Page 11 Name: Using the pattern shown, draw the next shape in each sequence Given the pattern shown, find the next two numbers in the sequence. 5. 1, 5, 9, 13,. 6. 4, 3, 1, 2,,, Write each number using scientific notation Convert each number from scientific notation to a real number x x x 10 3

12 Algebra 1: Basic Skills Packet Page 12 Name: 100 fans at a baseball game were asked what toppings they prefer on their hotdogs. Below is a Venn Diagram showing the total number of fans that wanted each topping. Use the diagram to answer the following questions. 1. How many fans wanted only mustard? 2. How many fans wanted ketchup and relish? 3. How many fans wanted ketchup, mustard, and relish? 4. How many fans wanted relish (this includes only relish, or any combination including relish)? 5. How many fans wanted ketchup and mustard? Calculate the probability of each of the following events. 6. Out of the seven days of the week, what is the probability of selecting a day that starts with the letter S? 7. Out of the twelve months of a year, what is the probability of being born in the month of June? 8. Given an irregular die numbered 1 20, what is the probability of rolling an even number? 9. Given a standard deck of cards, what is the probability of drawing a club? 10. You roll two standard dice. What is the probability that the sum of the two dice will be seven?

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