For any negative real number x, the statement
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1 1. Which equation does not have a solution? w + 3 = 3w + w + 3 = w + 5 w + 3 = 4w + 6 w + 3 = w + w + 3. Which expression represents the phrase the quotient of three less than four times a number n and one more than 7 times the number? 4(3 n) 7n+1 4n 3 7n+1 3 4n n 3 7n For any negative real number x, the statement x = x is true Always Sometimes Never 4. Let a be a negative number. If the product abc is positive, which statement must be true? bc>0 ac>0 bc<0 ab<0 Midterm Review #1 7. The perimeter of a rectangle is 4x+30y. If the width is 4x+5y what is the length? 8x+10y 10x+8y 0x+5y 5x Which statement is true for the function whose graph is shown? The domain is x. The domain is x 3. The range is y 0. The range is y Is the following graph a function? 5. If y 3 = (x + 1) then x=? 5 5(y 3) y 5 5(y 3) 1 5(y+1) You are taking part in a charity walk and you have walked 1.5 miles so far. Your goal is to walk at least 0 miles. Which inequality can be solved to show how many more miles, m you will need to meet your goal? 1.5-m<0 1.5+m>0 1.5+m m 0 Yes No 10. A line passes through the two points (-6,19) and (-15,8) What is the y-coordinate of the point at which the line intersects the y-axis? What is the value of x such that the points (x,8) and (,-1) lie on a line with slope -3? /3 3
2 Midterm Review # 1. Write an equation in slope-intercept form of the graph. y = 8 3 x 4 y = 3 8 x 4 y = 8 3 x 4 y = 3 8 x 4. At a vacation resort, you water ski for $35 per hour plus a $0 fee for equipment rental. You bill came to $15. How many hours did you water ski?.5 hours 3 hours 4.5 hours 3.5 hours 3. What is the solution to the equation 3 (15x 6) = 8(x + 1)? What is the value of 1 3 [(5 3) + 4]? 8/3 16/ The following graph shows Matt's heart rate in beats per minute (bpm) while exercising. Matt recorded his heart rate every 10 minutes for one hour. What does the y-intercept of the line segment represent? ( points) Every 10 minutes matt s heart rate increases by 18 bpm. Matt s heart rate before he begins exercising is 60 bpm. Matt s heart rate after 10 minutes of exercise is 78 bpm. Matt s heart rate after 60 minutes of exercise is 0 bpm 6. Which table represents a relationship in which y varies directly with x? X Y X Y X Y X Y What is the slope of the line with the equation 3x-5y=? -3/5 1/5 3/5 /3 8. Which equation below describes the linear function such that f(-3)=-11 and f()=-1? f(x)=x-8 f(x)=-x+3 f(x)=3x-10 f(x)=x-5 9. Thomas is driving from oak Ridge to Lakeview, a distance of 300 miles. He drives at a constant rate of 66 miles per hour. The equation for the distance yet to go is y = x, where x is the number of hours since he left. What is the x-intercept? What does it represent? He drove a distance of 300 miles. He drove at a constant rate of 66 miles per hour. It took him about 4.5 hours to complete his drive He drove at a rate of 4.5 per hour 10. Which equation represents direct variation? 5x + y = 4 1 x + y = 0 6 y = 7x + 7 8x 3y + 6 = Simplify the expression (m + 4) 6(5 3m)? 0m+38 0m+38 16m-38-0m+
3 Midterm Review #3 1. The length of the base of an isosceles triangle is one fourth the length of one of its legs. If the perimeter of the triangle is 16 inches, what is the length of the base? inches inches 3 inches inches. The perimeter of a rectangular garden is 860 ft. The two short sides of the garden are each 30 ft long. You are asked to find the length of the other sides. Which equation models this situation? 30+x=860 (30)+x=860 30(x-)= x= Identify the product that will be negative. ()(3)(4)(5) ()(3)(4)(5) (-)(-3)(-4)(-5) (-)(-3)(-4)(5) 4. Which inequality is equivalent to 6 < 1 (1x + 6) 11? 17 x < 6 7 x < x < x < 0 5. Which equation represents the vertical line passing through the point (7,-1)? y=-1 x=7 y=7 x=-1 6. Bill wants to simplify the following expression. 5(3x y) + (x + y) 3(3x y) Which of the following expressions is equivalent to the expression above? 8x 8x-1y 8xy 8x-8y 7. Write an equation of the line containing the points (-6,19) and (-15,8). x-y=-13 x-y=-13-5x-y=5 -x-5y= Which inequality is equivalent to x<1 or x>5? x+8 ->10 5x+9 < x >1 7-4x -9<8 9. What is the range of the function in the graph? 70 y x 5 y 35 0 y 5 0 x 5 5 x The function f(x) = (x 1) represents the cost (in dollars) of ordering x t- shirts printed with a specialty logo. Which description best fits the function? The cost includes a $15 fee plus $10 for each t-shirt. The cost is $10 for each t-shirt. The cost is $15 for the first t-shirt and $10 for each additional t-shirt. The cost is $15 for each t-shirt.
4 1. The figure below represents a building in the shape of a pentagon. Using the scale 1 inch = 94 feet, what is the perimeter of the building? Midterm Review #4 6. Which pair of lines would be perpendicular when graphed? y=3, x=5 y=x, y=1/x x=4, y=x y=3, y=x 7. Find the equation of the line that is parallel to the line in the graph and passes through point A. 10 y A 376 ft 470 ft 1880 ft 1504 ft. 4x + 5 > (x ). Graph your solution. 10 x 3. Find the slope and y-intercept of the line with the equation 9x+3y=54. m=3; b=18 m=18; b=3 m=-3; b=-18 m=-18; b=-3 4. Use the concept of opposites to simplify [ (+7)]. -7 1/7 7-1/7 5. Which problem could be solved using the inequality c 70? The product of and a number is equal to 70. Two students split a restaurant bill that came to $70. Two equal-priced shirts came to at most $70. Marty earned under $70 for hours of work. 4. Solve. 13b 6 14b + 8 b b -14 b 14 b= 5. Solve. 4x+ =3 1 4, , 5 4 1, 3, Which number is a solution of 4x 1 + = 1? -1/ 0 1 No Solution y = 1 3 x + 5 y = 1 3 x + 7 y = 3x + 5 y = 3x Write an equation of the line that passes through (-5,-1) and is parallel to the line y=4x-6. y=4x+19 y=4x-6 y=-5x+19 y=-5x-6 9. Which of the following are solutions to the equation 3 x 8 = 13? x=44 and x=-44 x=36 and x=-36 x=5 and x=-5 x=5 and c= Which inequality is equivalent to (w 9) 4(w + 5)? w -1/3 w 1 w -1/3 w -1
5 1. Solve and graph. 7(4x 3) Midterm Review #5 8. A monthly phone bill, b(m) consists of a $8 service fee plus $0.13 per minute, m, of long distance calls, given by the function b(m)=8+0.13m. Draw a graph for up to and including 10 minutes of long distance calls made in a month. Estimate the bill if 84 minutes of long distance calls are made Which situation is best modeled by the expression 5-x? George places x more video games on a shelf with 5 games. Sarah has driven x miles of a 5-mile trip Amelia paid 5 dollars of an x dollar lunch that she shared with Ariel Jorge has 5 boxes full of x baseball cards each. 3. If 4m = 3, what is the value of 7m 5? Three packs of markers cost $9.00 less than 5 packs of markers. Which equation best represents this situation? 5x+9=3x 3x-9=5x 3x+9=5x 9-3x=5x 5. What value of n makes the equations below have a solution? x + = nx Given the equation y + 3 = (x 4). Which choice below correctly expressed the slope and the y-intercept of the line? Slope = -1; y-intercept is -3 Slope = -1; y-intercept is 3 Slope = -1; y-intercept is 1 Slope = 1; y-intercept is 1 7. A shipping service charges $0.43 for the first ounce and $0.9 for each additional ounce of package weight. Write an equation to represent the price P of shipping a package that weighs x ounces, for any whole number of ounces greater than or equal to 1. P= (x-1) P= x P= (x-1) P= x b=$0 b=$39 b=$9 b=$35
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