-5x x + x x

Transcription

1 Name Date Name Date 7 th Math Final Exam Part II 7 th Math 1 st Quarter Final Exam 1) A cave explorer climbed from an elevation of -11 meters to an elevation of -5 meters. What vertical distance did the explorer climb? a) 6 meters b) 6 meters c) 16 meters d) 16 meters 2) Which of the following is an example of a number and its additive inverse? a) = 0 b) = 0 c) = 0 d) > 0 5) Which of the following is an example of the rule about the sign of the quotient of two numbers? a) ( ) = = b) ( ) = = c) = = d) ( ) = = 6) What equation can be written showing the relationship between time and length based on the graph below? 3) Simplify the following expression: -5x x + x x a) -4x x b) -6x 2 2 5x c) 25x x d) -4x x 4) Use the expression below to answer the question y 9y 21 Which expression is equivalent? a) 2(10 + 4y 7y 19) b) 2(10 + 4y) 3(3y 7) c) 4(5 + 2y 5y 17) d) 4(5 + 2y) 3(3y + 7) a) y = 1.5x b) y = 2x c) y = 0.5x d) y = 3x 7) Which of the following is a true statement? a) In the algebraic equation, y = x, the constant of proportionality is. b) A proportional relationship can be presented by a graph that contains the points (0, 2) and (1, 4). c) The equation, y=3x runs through the points, (3,9) and (4,16). d) Constant of proportionality is found on a graph by dividing the X value by the Y value.

2 8) John walks at the rate of 2 miles in hour. What is his unit rate? 11) What is the constant of proportionality in the graph shown below? a) 1.6 mi/hr. b) 2.5 mi/hr. c) 0.4 mi/hr. d) 6 mi/hr. 9) The prices for various numbers of pounds of apples at several stores are shown in the table below. For which store would 7 pounds of apples cost exactly $13.23? a) Jerri s Fresh Produce b) Parson s Market c) Carol s Apple Orchard d) Ed s Green Grocery a) k = b) k = 1½ c) k = ½ d) k = 2 12) Mr. Richard changed his showerhead to conserve water and energy. The table below shows the relationship between the amount of flow and the duration of the water flow. 10) A sloth was watching a turtle move one day. The sloth noticed it took the turtle of an hour just to travel of a meter. At this rate, how far can the turtle go in 3 hours? a) meter b) 1 meters c) 2 meters d) 4 meters Which statement best describes the rate of water flow? a) 0.4 gallons per minute b) 0.4 minutes per gallon c) 2.1 gallons per minute d) 2.5 gallons per minute e) 2.5 minutes per gallon

3 13) The following list shows the ingredients needed to make 1 loaf of Ms. Abell s famous banana bread. 2 cups flour Banana Bread 1 teaspoon baking soda ¼ teaspoon salt ½ cup butter ¾ cup brown sugar 15) Which table represents a proportional relationship? a) b) c) 2 eggs, beaten 2⅓ cups mashed overripe bananas Ms. Abell has a bunch of leftover bananas and she wants to modify the recipe so she can use 7 cups of mashed overripe bananas. Based on this information, how many cups of flour will she need to complete the recipe and keep the ingredients proportional? a) 3 cups b) 3½ cups c) 6 cups d) 6½ cups 14) Line KN represents a proportional relationship. Point N lies at (18, 12), as shown on the graph below. Which ordered pair could represent the coordinates of point K? d) 16) One of the highest snowfall rates ever recorded was in Silver Lake, Colorado, in April 1921, when just over 7 feet of snow fell in 27 hours. What was that rate in feet per hour? a) ft/hr b) 192 ft/hr c) 3 ft/hr d) ft/hr 17) Which is a simplified version of the following expression? 3y [2y + 6(-2y +4)] a) (6, 9) b) (2, 3) c) (1.5, 1) d) (2, 9) e) (9, 7) a) -13y + 24 b) -11y + 24 c) 13y 24 d) 13y + 24

4 18) In which of these situations would the answer be 0? a) Teddy jumped into a pool from a diving board 8 feet above the water. He sank 8 feet and then swam straight up to the surface of the water. How many feet did Teddy swim? b) Jerry left his house and walked 1.5 miles directly west. Then he walked 1.5 miles directly east. At this point, how many miles was Jerry from his house? c) A trail begins at an elevation of -50 feet. The trail ends at an elevation of 50 feet. The trail ends at an elevation of 50 feet. By how many feet does the elevation of the trail change from beginning to end? d) The low temperature one day was -3 degrees Celsius. The high temperature that day was 3 degrees Celsius. What is the difference between the low temperature and the high temperature? 21) The graph below shows the price Joanna sells tomatoes according to their weight. Write an equation for the graph. a) b) c) d) 22) Solve for x. x = -5 - (7 ) 19) A UPS driver drove 76 miles in 1 hours. How many miles can the driver go in 19 hours? a) 60.8 miles b) 1,805 miles a) 2 b) -13 c) 13 d) -2 c) 1,155.2 miles d) miles 20) The numbers -9.7 and 6.2 are shown on the number line below. What is the distance between the two points? 23) Simplify the following expression: ½(14g + 32v) 10(g 7) a) -3g + 32v + 7 b) 3g +16v -7 c) -3g + 16v + 70 d) -3g + 16v - 70 a) 15.9 b) 3.5 c) d) -3.5

5 24) Simplify the following expression: a) -4c + 1 b) 12c + 1 c) -4c +11 d) -12c - 1 (6c + 9) (8c 5) 25) Which expressions are equivalent to -3 ( )? Select all that apply. 28) Three friends are comparing the amount of money they have. Chris has $12 more than Pedro. Lisa has 5 times as much money as Chris. If Lisa has $90, how much money does Pedro have? A.) $2.50 B.) $6.00 C.) $15.60 D.) $30.00 a) ( ) 3 b) ( ) 3 c) ( ) + 3 d) -3 ( ) e) -3 + (-7.5 4) 26) A train traveled of the distance between two cities in hour. At this rate, how many hours will it take the train to travel the entire distance between these two cities? a) b) c) 3 d) 6 27) Which of the following are equivalent expressions? Select all that apply. A.) ( ) B.) C.) D.) 29) Solve for x. a.) x=0 b.) x=4.5 c.) x=-4.5 d.) x= ) Simplify. a.) - b.) 1 c.) 1 d.) 2 31) Solve for x. a.) x=-7 b.) x=25 c.) x= -25 d.) x=7 (x 9) 6 = -12 (- ) 9 x = -16

6 32) Solve for x. (-x - 9) + 9x= -1 a.) x=-1 b.) x= c.) x=1 d.) x= -1 33) Solve for x. 0.5(2x + 10) - 6x=10 35) Katie is making cookies. The number of tablespoons that she uses is proportional to the number of cookies she makes. Katie uses 17 to make 10 cookies. Which equation represents the relationship between s, the number of tablespoons of sugar Katie uses, and c, the number of cookies she makes? a) s= c b) s= 1 c c) s= 2 c d) s= 17 c a.)x=1 b.) x=0 c.) x=-1 36) A number line is shown below. It is drawn to scale. The numbers 0 and 1 are marked on the line, as are two other numbers, a and b. d.) x=-3 34) Simplify. a.) -23 b.) 24 c.) -25 d.) (-24 ) Based on the values on the above number line, which expression below is not negative? a) b b) a+b c) ab + 1 d) a ) Which set contains only rational numbers? a) 2,,, 0.3 b), ,, c) 1,, 15.23, d),,, -42.5, 0.1

7 38) A sugar-water solution freezes at -1.8 C. A saltwater solution freezes at C. What is the difference between the freezing temperatures of the solutions? a) 15.4 b) 11.8 c) 12.2 d) ) Which expressions have products that are positive? Select all that apply. a) (-5)(0.2)(-9) b) ( )( )( - ) c) (6)(-3)(8)(-7) d) (-4 )(- )(-5 )(- ) e) ( )(-10)(3 )(2) 41) Find the quotient. 4 (-1 ) a) -3 b) 3 c) -7 d) 7 42) Solve for y. 20 = 4( y 3) a) y=11 b) y= 11.5 c) y= 16 d) y= -11 f) (-1.2)(-3.5(2.7)(-0.8) 40) The graph below shows the speed of a subway car. Which equation represents the graph? 43) Solve for h. a.) h= 0.5 b.) h=2 c.) h= d.) h= -2 9 = h 8h 3 44) Solve for c. a) y = 2x b) y = x c) y = 3x d) y = x a) 6 b) 5 c) 3 d) 3 c - =

8 45) Solve for x. a) x=35 b) x= -49 c) x=1 d) x= = -1 49) If of a pound of candy costs $15.50, how much would 2 pounds of the same candy cost? a) $23.25 b) $12.50 c) $46.50 d) $ ) Which equation has -4 as a solution? a) 9z = 36 c) z +9 = 5 50) Glenn and Martha run track for their school. Glenn can run ¾ lap in 1 minute. The graph below shows the number of laps Martha can run over time. b) - = -9 d) z 9 = -5 47) A newspaper reports these changes in the price of a stock over four days:,,,. What is the average daily change? a) b) -9 c) d) 48) Simplify the following expression. a) y b) 13 - y c) -1 - y d) 41 y 2(10 + 4y) 3(3y 7) Glenn and Martha decide to run a 20-lap race. If Glenn s and Martha s running rates remain constant for all 20 laps, which pair of statements about the race is correct? a) Martha will win the race. She runs at a pace that is lap per minute faster than Glenn. b) Martha will win the race. She runs at a pace that is lap per minute faster than Glenn. c) Glenn will win the race. He runs at a pace that is lap per minute faster than Martha. d) Glenn will win the race. He runs at a pace that is lap per minute faster than Martha.