2) If an athletic conference has 12 teams and each of the teams plays each of the other teams, how many games will there be?

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1 Pre-Algebra Review Worksheet Final Exam Mr. Cierech Name: Date: Chapter 1: Number Patterns 1) Find the next three numbers in the sequence: a) 4, 9, 14, 19, 4... b) 16, 8, 4,, 1, ) If an athletic conference has 1 teams and each of the teams plays each of the other teams, how many games will there be? 3) Write an algebraic expression for that represents each verbal expression: a) The cost of movie ticket $8.50 increased by the cost of a soda s b) The number of hours in d days c) The decibel level of a rock concert 10 decreased by ear plugs with an efficiency rating of p decibels.

2 4) Julia rents surfboards at the beach for $5 plus $1.50 per hour. Write an equation for the cost, using the variable h and c. Number of hours: h Process Cost: c 5) Find the value of d when c is the indicated value. a) c = 5.6d, c = 67. b) c = 3.6d + 4, c is ) A can of sot drink contains 355 ml of liquid. If 5 people split cans evenly, how many milliliters will each get? 7) How many $5 raffle tickets must you sell to raise $3? 8) Determine whether each number is prime, composite or neither: a) 47 b) 1 c) 0 d) 37 e) 57

3 9) Given the following numbers state whether they are divisible by, 3, 5, 6, 9, or 10: a) 178 b) 3570 c) 730 d) 108 e) ) Make a list of the factors of 7. Circle all the prime factors. 11) Use exponents to rewrite the expression: a) b) x xx33 3 1) Evaluate each power: 5 4 a) b) 3 c).5 13) Write the prime factorization of each number: a) 54 b) ) Simplify using the correct order of operations: a) b)

4 15) Evaluate each expression: a) b) ) Given a is 5, b is 3, and c is 4 evaluate each expression: 1) (a + b) c ) a b c 17) Name the property illustrated: a) b) c) ( 17) ( 17)

5 Pre-Algebra Review Worksheet Final Exam Mr. Cierech Name: Date: Chapter : Patterns with Integers 1) Find the opposites of the following numbers: a) -5 b) 3 4 c) 0 d) 7 8 ) Find the absolute value of the following numbers: a) - b).897 c) 5 d) 0 3 3) Circle the following integers: 1, -5, 1, 0, -6, 6.3 4) Find the following sums: a) b) c) 14 + ( -9) + ( -1) d) ) Show the set of integers on the number line and then list them in order from least to greatest: -, -.5, 4, -3.5, 3, 0, 1.5 6) Find the distance between the pair of points on a number line. a) -6 and 15 b) -8 and -0 c) 1 and 34 7) Evaluate: a) ( 1) ( 4) 3 b) c) ( 90) ( 15) ( 1) (3)

6 x Process: -x + 5 y 8) Write a linear equation to describe the set of data: Time ( in hours) Cost ( in dollars) ) Find the first and second differences for the sequence 0, 7, 36, 47, 60 10) Suppose a rocket takes 36 minutes after its launch to reach the ground. How many minutes of flight did it take to reach its maximum height? 11) Make a table of values for y = -x + 5 using integer values of x from -3 to 3. Then graph the equation.

7 1) Find each difference: a) 13 ( -13) b) 1 15 ( - 15 ) c) ( -18) 13) Use < or > to indicate the relationship between the following numbers: a) -3 0 b) c) ) Find the value of the expression 15h -3 when h = ) Simplify: (34) 3 (4) 6 1 Date:

8 Chapter 3: Rational Numbers and Probability 1) Is 7 closer to ½, 0 or 1? 10 ) Compare the fractions using the symbols <, > or =: a) 5 and b) 4 and 30 c) and ) Reduce each fraction to lowest terms: a) b) 48 7 c) ) Find the LCD of the following fractions then use the symbols <, >, or = to compare them a) b) c) ) Write the list of fractions from least to greatest: 1,, 4, 1, 7, and ) Order the decimals from the least to the greatest: 6.091, 6.01, 6.009, -6.9, and ) Order the numbers from least to greatest 0.6,, 0.74,,.05, 3 5 3

9 8) Write each number as a mixed number or a fraction in lowest terms and as a decimal: a) five hundred five and twenty-five thousandths b) six hundred sixty-seven thousandths c) three hundred two and seventy-five ten-thousandths 9) Write a mixed number or fraction in lowest terms for each decimal: a) 3. b) c) ) Add or subtract : a) b) c) ) Find the reciprocals of the following numbers: a) 1 b) c).3 1) Find the area of the rectangle with sides 3 5 and 5 7 inches.

10 13) Find the product: a) b) c) ) Find the following quotients a) b) c) ) Complete each proportion: a)? 7 b) 0? c) ? 16 16) The ratio of apple trees to peach trees in Mr. Green s orchard are 7 : 4. How many peach trees are planted if Mr. Green has 56 apple trees in his orchard? 17) Change each decimal to a percent: a) 3.59 b).045 c) 1.56 d) 0.00

11 18) Change each fraction to a percent: a) b) 7 10 c) 4 5 d) ) Last year 48% of the crimes committed in a certain state were robberies or burglaries. If there are 63 crimes this year, how many can be expected to be robberies or burglaries? 0) An investment is expected to yield a profit of 9.8% per year. If the investment is $4050, what is the approximate yield for the year? 1) A bag contains 1 marbles: 4 red ( R), 6 green ( G) and white (W) if the marbles are randomly drawn from each bag find the following : a) P ( G) b) P ( R) c) P (not W) d) P ( R or W) ) What is the theoretical probability that you would roll a number that is greater than 3 in two rolls of a 6 sided number cube?

12 3) Trial Coin H T T T H 1 Coin T T H H T Use the data in the table above to find the experimental probability of: a) At least one coin is heads b) Both coins are tales c) Both coins are heads

13 Chapter 4 Use your calculator to compute the actual values: 1) 5 ) 170 3) 40 4) 13 Find the squares of the following numbers: 5) 3 6) 1.5 7) 1 8) 1 3 9) State the Pythagorean Theorem: 10) Find the length of the missing side of the given right triangle: a ) Is the triangle that has sides that measure: 1, 1.5, and yards a right triangle? 1) The cable company buries a line diagonally across a lot. The lot measures 105 feet by 60 feet. How long is the line?

14 13) Katrina s height is 1.6 meters. Her shadow measures 1.1m. How big is the shadow of a tree that measures 13 m. 14) Find the areas of the given polygons: a) Square with sides b) Rectangle with sides and 3.5 c) Triangle with alt. 4 m, and base of 6m. d) Trapezoid with b 1 = 3ft, b =8 ft, h = 5.5 ft. e) Parallelogram with base of 5.7 cm, and a height of.1 cm. Simplify: 15) (a + 3b + 5c) + (7a - 3b + 5c) 16) ( x + y + z ) = ( w + 3y + 5) x x 17) 1 1 3

15 Chapter 5 Find the sum: 1) 3x4x 6 ) 3a7ba b 3) Find the a simplified expression for the perimeter of the triangle: x + 5 3x + 4x -1 A picture is surrounded by a frame that is inches wide. If the picture by itself is b inches wide and h inches high, find the following dimensions of the picture and frame combined. 4) The total height: 5) The total width: 6) The total perimeter: Find the opposite of each expression: 7) 5 x 8) 3z 4q Find the difference: 9) 8y3zy 4z 10) 3x1 6x 5 Solve each equation. Show all steps for problem solving:

16 11) a 3 1 1) 4 z 1 13) b ) 4.3P ) 1 x 16) b ) Write an equation to show that the perimeter of this rectangle is 5. Then solve for x. Show your work. 1 Equation: x x = 18) Solve the following for y: x y z Simplify each polynomial by combining like terms. Show all work: 19) 3a 3aa 5a 0) 6y x7y x Simplify each binomial subtraction expression. Show all work: 1) x 77x 3 ) 4x 3x x6 3x

17 Chapter 6 Evaluate x y for each value of x and y 1) x = 3 and y = - ) x = 1 and y = 1 3 Multiply or divide. Simplify when possible. 3) 33x 3 4) 7 t 5) 30y ) 9x 84 3x Solve each equation. Show all steps for problem solving: w 7) 17x 85 8) ).h 33 10) y.4 10 Use the Distributive Property to find each product. 11) 5 4 h 1) 4tt 7 13) b1b 11b Write each polynomial in factored form ) 6x 8 15) 5c 5c 16) z 5z

18 Solve each equation. Show all steps. 17) x 18) w 19) y Solve each proportion. Show all steps. 0) n ) 6 9 n 7 ) x Find each answer. Show all work. 3) What is 55% of 60? 4) What percent of 15 is 3? 5) 8 is 70% of what number? 6) What is 150% of 8? Chapter 7 Solve each equation. Show all steps. 1) x 5 8 ) 5 3x 3) 3x ) 3w 1 6w 5 5) 4x5 7x Solve each word problem. Show all steps. 6) Find three consecutive integers whose sum is ) Lynn has scores of 95, 91, and 88 on three tests. Write and solve an equation to find a fourth score that will produce an average of 90 for the four tests.

19 8) Jackson is the manager of the men s department store. His base salary is $500 per week plus a commission of 1.% of the weekly sales in the department. What must the total of the weekly sales be if he wants to earn a weekly income of $1000? 9) Ted has 16 ml of a solution that is % acid. How many ml of a 5% solution does he need to add to get a solution that is 3% acid? 10) The perimeter of a rectangle is 56 feet. The length is 3 feet more than the width. What are the dimensions of the rectangle? 11) The area of a trapezoid is 19 square inches. If the height is 16 inches and one base is 10 inches, find the length of the second base. 1) The measure of the large of two complementary angles is 4 times more measure of the smaller angle. Find the measure of both angles. 13) One number is 7 more than another. Twice the larger is less than 4 times the smaller. Find the numbers. Solve each inequality: 3) x 1 4 4) 3p 1 5) 4x x 3 Solve the Following Absolute-Value Equations: 6) x 10 7) x ) 3 x 4 11

20 Find the values of x that solve each absolute value inequality. Graph each answer on the number line. Chapter ) Label the 4 quadrants and the origin. y x Name the letter that corresponds to the following points, and give its quadrant: 6.) (-9, -6): 7.) (0, 8) : Name the coordinates of the following points: H B S y C D 8.) F 9.) H A V O F E x N

21 Graph each list of ordered pairs. State whether they lie on a straight line. 10.) (-, 1), (0, -), (, -5) 11.) (-3, -4), (0, 0), (3, 3) 6 6 y y x 5-5 x ) Find the values for y by substituting -, -1, 0, 1, and in for x. Make a table and graph your results. y = 3x 6 y 4-5 x

22 13.) A photography studio charges $10 per sitting and an additional $5 for each print ordered. Represent the number of prints ordered by p and the cost of the prints by c. Write a function to express the cost of the prints in terms of p. Graph the function for orders of 5 to 5 prints. Prints Cost Ordered Pair Equation: What is the independent variable? What is the dependent variable? What is the domain? Graph the function for orders of 5 to 5 prints: What is the range?

23 14. Find the slope of the line with a rise of -3 and a run of What is the slope of the line that passes through the points (-, 1) and (-6, 0) Write an equation in slope-intercept form for each line: 16.) The slope is 1 and the y-intercept is ) The slope is 3and the line passes through point (-, 5) Write an equation in slope-intercept form for each line passing through the following points: Show all work 18.) (, -10) and (1, -5) 19.) State the general equation of the Standard Form of the Line. 0.) Find the slope of a line given two points (1,-4) (5, -3). 1.) Give the slope of the line containing the origin and the point (-4, 16)..) What is the equation of the line? 3.) Given the equation y = 3x; The y- intercept is: 4.) Given the equation: The y- intercept is: The slope is: 3 y x 7 The slope is:

24 5.) Find the slope of the line passing through the pair of points: (0,-7), ( -4, 0) 6.) Write the equation of the line in slope-intercept form: passes through (0, 6) and with slope of ) The equation x 4y 8 is written in: (Circle the correct answer) a) Standard Form b) Slope-Intercept Form c) Point Slope Form 8.) Describe the graph of the line y 3x 5. 9.) Graph the following equation using the x- and y-intercepts. 4x 3y 1 y x 9.) Write the equation of a vertical line that passes through the point ( 8, 0) 30.) What is the slope of the line y = -.5? 31.) Find the equation of the line that contains point ( 3,-1) and is a) parallel to the line yx 3 b) perpendicular to the line - yx 3

25 3.) Graph the inequality: yx 3 33.) Graph the inequality : y > - y y x x 34.) Write the equation of the inequality that is graphed below: y x