ALGEBRA I. 1. Find the area of the triangle ABC with vertices at A(-3,0), B(23,5) and C(15,0). a) 30 b) 50 c) 90 d) 60 e) 45

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1 ALGEBRA I. Find the area of the triangle ABC with vertices at A(-3,0), B(3,) and C(,0) Which property is illustrated by the equation ( a c a ( b? associative commutative distributive identity inverse 3. What is the slope of the line containing the points (-9,) and (3,)? Flying east between cities, a plane s speed is 380 miles per hour. On the return trip it flies at 0 miles per hour. Find the average speed in miles per hour for the round trip How much water in ounces should be added to 0 ounces of a % solution of argyrol in water to reduce it to a solution that is 90% water? At Treetop High School, there are 6 students in the English Club, 6 students in the Science Club and 0 students in the Math Club. Of these students, there are students in both the English and Science Clubs, 6 students in both the Science and Math Clubs, and 8 in both the English and Math Clubs. If only students are in all three clubs, how many students are in at least one of the clubs? none of these 7. Find the net term in the sequence:,, 9, 9,, The smaller of two numbers is less than the larger. Four times the larger eceeds 3 times the smaller by 90. Find the sum of the two numbers One of the roots of the equation is. What is the other root? - -8) 8 0

2 0. Suppose f() is a linear function and f() = -3 and f() =. If g() is a linear function whose graph is perpendicular to the graph of f(), what is the slope of g()? The sum of a man s age and his daughter s age is 0 years. Eight years from now, the man will be twice as old as his daughter will be then. Find the present age of each. man 36, daughter man 3, daughter 6 man 38, daughter man 0, daughter 0 man 3, daughter. Find in the right triangle (not drawn to scal: Given the equations y and y, one point that satisfies both equations is: (-,) (,-) (,9) (,0) (,-3). If 9 7 3, then the sum of the roots of the equation is: If the diagonal of a square is inches, how many inches are in the perimeter of the square?. 0 0

3 6. For which value of is 3 undefined? 3-7. An LCD panel is used for a computer monitor. When rounded to the nearest inch, the length of the monitor is 6 inches and the width is inches. Which of the following cannot be the area of the monitor? 7 sq in 86 sq in 9 sq in 0 sq in 90 sq in 8. If the parabola y 8 is shifted units up and 3 units left, what are the coordinates of the new verte? (0,-3) (-,-) (-,0) (-,-) (-,-) 9. In a cup there are quarters, dimes, 6 nickels and 0 pennies. If one coin is selected at random, what is the probability that the coin has a letter n in its name? What is the domain of the function f() = 3 3?,, 3 3, 3 3,,, If f() = - + and g() = 3, what is the value of g(f(-))? The length of a rectangular garden is 3 yards more than its width. If the area of the garden is 36 square yards, which equation could be used to find the dimensions of the garden? = = = = 0 36 = 0

4 Temperature ( F) 3. The accompanying graph shows the high temperatures in Elmira, New York for a day period in January. Which statement correctly describes the data? median = mode mean < mode median = mean mean = mode mean < median M Tu W Th F Day. If f ( ) 3, then f ( h) f ( ) =? - + h + h h - -h + 3h -h h + 3h h + h 3h -h + 3h - 3. The solution to the system of equations 8 and 0 y y is: (,3) (,-3), 3, 3, 3

5 6. Which of the following graphs represents a function? y y y y y 7. Let and y be numbers such that 0 y and let d y. Which graph could represent the location of d on the number line? - 0 y d d d y - 0 d y - d 0 y - 0 y d

6 8. If the y-intercept of a line is twice the -intercept and the line passes through the point (-,) then the equation of the line is: y = + y = 8 + y = -0 y = + y = The height, h, of a cylinder is 3 units less than times its radius. Which epression represents the radius of the cylinder in terms of its height? h 3 h 3 h 3 h 3 3h 30. The least common multiple of 3 + and 3 is: ( ) ( ) ( ) ( ) ( ) 3. What is the least number of terms that must be added in an arithmetic sequence whose first term is 78 and whose common difference is - to obtain a sum of 70? A sequence is defined recursively as a = 3, a n = a n-. The th term of this sequence is: The remainder when f() = (3 ) is divided by is: greater than 0 less than 0 0 greater than 3. If = - and y = 3, then - y is: Simplify If y is 3 when is 8 and y varies inversely as, what is y when is? 6 8 6

7 Bicycles Sold 37. In the scatter plot shown below, which statement best describes the correlation between the days of the week and the number of bicycles sold? There is a high negative correlation between the days of the week and the number of bicycles sold. There is a low negative correlation between the days of the week and the number of bicycles sold. There is a high positive correlation between the days of the week and the number of bicycles sold. There is a low positive correlation between the days of the week and the number of bicycles sold. There is no correlation between the days of the week and the number of bicycles sold M Tu W Th F Days of the Week 38. Rationalize the numerator:

8 39. What is the equation of the perpendicular bisector of the line segment joining (,3) and (,-)? 7 y y y y y 0. Which of the following statements are false?. Some rational numbers are integers.. All irrational numbers are real numbers. 3. Some natural numbers are not positive.. The integers are a proper subset of the real numbers.. Every integer has an additive inverse. 6. All rational numbers have multiplicative inverses. and 6 3 and and 6 and 6 3 and 6