Math 0409 Practice Test 2. Name. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

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Percival Moore
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1 Math 0409 Practice Test 2 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Evaluate the polynomial. 1) x 2 + 3y 2 + 2xy for x = 6 and y = 2 1) Determine whether the given ordered pair is a solution of the equation. 2) 3x + y = 8; (2, 2) 2) Find the coordinates of the labeled points. 3) 3) Graph the linear equation. 4) y = 2x + 3 4) 1

2 5) 2y + 10x = 10 5) Find the coordinates of the y-intercept for the given equation. 6) 3x - 5y = 25 6) Solve the problem. 7) The value V, in dollars, of a shopkeeper's inventory software program is given by V = -20t + 450, where t is the number of years since the shopkeeper first bought the program. Find the value of the software after 0 years, 2 years, and 6 years. 7) Find the coordinates of the y-intercept and the x-intercept, in that order. 8) -2x - 4y = 0 8) 9) 2x - 3y = 11 9) Find the x- and y-intercepts for the equation. Then graph the equation. 10) x + 5y = 5 10) 2

3 Graph. 11) x = 2 11) 12) -3x - 10 = 0 12) Draw a line that has the given slope and y-intercept. 13) Slope 1 ; y-intercept (0, 4) 13) 2 3

4 14) Slope - 1 ; y-intercept (0, 4) 14) 5 Graph using the slope and the y-intercept. 15) 2x - y = -2 15) 16) y = 6 5 x ) Choose the ordered pair which is a solution of the inequality. 17) 2x + 3y 5 (1, 1), (0, 2), (1, 2), (3, 2) 17) 18) 2x + 4y > 8 (0, 0), (2, 1), (2, 2), (0, 1) 18) 4

5 Graph the linear inequality. 19) 2x + y -5 19) 20) x 4 20) 21) y 2x 21) Subtract. 22) (5x 2 y - 4xy) - (2x 2 y + 2xy 2 + 6xy) 22) Evaluate the polynomial. 23) x 2 yz + x + y for x = 1, y= -4, and z = 4 23) 5

6 24) 8x2(-10x5-7x2-11) 24) Add. 25) (3 + 9x5 + 9x2) + (2x5-4x2 + 8) 25) Evaluate. 26) ) Divide and simplify. p 27) 3 p -6 27) 28) (4p - 11)(4p + 11) 28) Subtract. 29) (9x3 + 6x x4) - (7-6x4 + 8x5 + 6x3) 29) Express the following using negative exponents. 1 30) x 4 30) Compute each expression and compare. 31) ; (6-1) 2 31) Divide and simplify. 32) y-11 y 2 32) 33) (x + y + 5)(x + y - 5) 33) Evaluate the polynomial. 34) 5x + 8, when x = 7 34) Collect like terms. 35) 11m2 + 4m2 35) 36) (x )(x 2-0.7) 36) Write the number in scientific notation. 37) ) 6

7 Evaluate. 38) m 6 when m = 4 38) What is the meaning of the expression? 39) 52 39) 40) (w - 15)2 40) Multiply or divide and write scientific notation for the result. 41) (5 10-6) ) Solve the problem. 42) The average weight W (in ounces) of a fish caught in a certain lake is given by W = 0.001x x , where x is the length in inches. Use the graph below to estimate the weight of a fish from the lake that is 14 inches long. 42) Perform the division. 43) z 3-27 z ) 7

8 Solve the problem. 44) Find a polynomial for the the shaded areas of the figure. 44) r r Multiply mentally. 45) 4x 2 (2x 3 + 5x 2-2x) 45) Add. 46) (5x 2 + 2xy + y 2 ) + (2x 2 + 6xy - y 2 ) + (x 2 + xy - y 2 ) 46) Write the number in scientific notation. 47) 1,500,000 47) 48) (4k - 5)(3k3-2k2-3k + 4) 48) Draw and label rectangles to illustrate the given product. 49) (2x + 5)(2x + 5) 49) Evaluate the polynomial. 50) -4x2-3x + 8, when x = 0 50) Find the degree of the polynomial. 51) x 6 yz - x 8 y 2-2x 5 y 2 z 3 51) Add. 52) (2x 8-9x 4 + 9x 2 + 7) + (5x 7 + 2x 4-9x) 52) Write the number in scientific notation. 53) ) 8

9 Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise. 54) If the distance from the earth to the sun were 84,000,000 miles. How long would it take a 54) rocket, traveling at miles per hour, to reach the sun? (Round to three places) Simplify. 55) x 3 y 3 z ) 56) -3x6(-6x7-2x4-8) 56) 57) (-2 + x)(3x - 5) 57) 58) (4x + 12)(4x - 12) 58) Divide. 59) (30x9 + 50x6-25x3) (5x3) 59) 60) (4y 5 + 3y 3 )(4y 5 + 3y 3 ) 60) Solve the problem. 61) An object's altitude, in meters, is given by the polynomial h + vt - 4.9t2, where h is the height in meters from which the launch occurs, v is the initial upward speed in meters per second, and t is the number of seconds for which the rocket is airborne. A pebble is shot upward from the top of a building 117 meters tall. If the initial speed is 26 meters per second, how high above the ground will the pebble be after 4 seconds? Round results to the nearest tenth of a meter. 62) Find a polynomial for the sum of the areas of these circles. 61) 62) r 17 8 Express using positive exponents. Then simplify ) 2 63) 9

10 Evaluate the polynomial. 64) 3x3-5x2 + 3, when x = -2 64) 65) (4x - 9)(4x + 9) 65) 10

Basic Fraction and Integer Operations (No calculators please!)

Basic Fraction and Integer Operations (No calculators please!) P1 Summer Math Review Packet For Students entering Geometry The problems in this packet are designed to help you review topics from previous mathematics courses that are important to your success in Geometry.