Nebiaska T High School | theorem Course Name: Second Year Algebra 1 Course ID: MTHH039059 Student: Malte Vass Student ID: A47689883 Generated Date: December 06, 2024 Test Version: R Test Progress Test 1 This Progress Test covers the course materials that were assigned in Units 1 and 2. Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book test. It is important that you do your own work. Select the response that best completes the statement or answers the question. Your graphing calculator may be used on this progress test. You may also use scratch paper to work out the solutions. 1. Solve this inequality 3t + 6 8. A. X > 1 B. -10 6 D. -6 15. A . y > 3 B. y 11 C. y 14 D. y 3 12. Find the slope of the line 5y - 20x = 6. A. 4 B. _ C. -4 D. 6 13. Suppose y varies directly with x. If x is -6 when y is 3, what is x when y is -5? A. _ B. -10 C. D. 1014. The graph of which equation will NOT have a y-intercept of 3? A. y = |x| + 3 B. y = |x + 31 C. y = |x - 3| + 3 D. y = |x - 31 15. A truck rental company purchased a used truck for $15,000. It plans to rent the truck for $50 a day. Which equation would describe how the profit, y, on the truck is related to the number of days, x, that the truck earns income? A. y = 50x - 15,000 B. y = 15,000x - 50 C. y = 50x D. y = 50x + 15,000 16. A garden has a shape of an isosceles triangle. The base is 24 ft. long with an altitude of h ft. Which equation describes the area A as a function of h? Remember that the area for a triangle is found using one-half the base times the height.) A. A = 2 (12)h B. A = 24h C. h = 2(12)A D. A = Z (24)h 17. Write an equation in point-slope form given P(3, 4) and Q(-1, 2). A. y - 3 = 2(X -4) B. y - 2 = 2 (X + 1) C. y + 1 = 2 (X - 2) D. y + 4 = 2(X - 3)18. Name the property of real numbers illustrated by the equation: 16 + (-3) = ( 3) + 16. A. Distributive property B. Commutative property of addition C. Associative property of multiplication D. Commutative property of multiplication 19. Write this equation in slope intercept form -2y = x - 2. 20. 21. A x+2y=2 1 B. y=-2x+1 C0=2y+x-2 1 D'y= 2x+1 Compare these two numbers: Vi6 4, A C.= D.= Solve this equation 3|2d + 1| = 51. A.d=8 B.d=8,-9 C.d=-8,9 D.d=9 22. Which number is irrational? A. 812 B. -"m C.-5 D, V3 __23.1s{(1,4), (3, 2),(5,2), (1, -8), (6, 7)} a function? A. yes B. no 24. Suppose you select a number at random from the sample space (1, 2, 3, 4, 5, 6, 7, 8, 9}. Find the theoretical probability P(a number that is a multiple of 5). A. _ B. 2 C. 25. For this function, f(x) = 2x - 3, find f(-5). A. 7 B. 13 C. -13 D. 4 26. Write a direct variation equation going through (4, 5). A. y = 5X B. y = AX C. y = 5x D. y = 4x 27. Write an equation in point-slope form given P(2, 1) and Q(-3, 4). A.y + 3 = -5(X -4) B. y - 4 = -5 (X+ 3) C.y + 1 = - 5 ( X - 2) D. y - 4 = -5(X -2)28. Solve this inequality 10 - x S 12. A. XS2 B. x S 22 C.x2 2 D. x2 - 2 29. Solve this equation 9z - 8 = 5z - 4. A. z = 1 B. Z = 3 C. z = 5 D. x=6 30. To avoid turbulence, a plane climbs from an altitude of 19,700 feet to a higher altitude at the rate of 300 ft. per minute. Which function describes the altitude, y, of the plane x minutes after it begins its climb? A. y = -300x - 19,700 B. y = -300x + 19,700 C. y = 300x - 19,700 D. y = 300x + 19,700 31. What is the vertex of y = -|x| - 2? A. (0, -2) B. (0, 2) C. (2, 0) D. (2, -2) 32. Solve this equation |3m + 6| = 36. A. m = 10 B. m = -10, 14 C. m = 14 D. m = 10, -1433. Andrea is going to buy x pounds of pasta salad and y pounds of chicken salad for a party. The pasta salad costs $2 per pound, and the chicken salad costs $4 per pound. She has at most $35 to spend. Which inequality describes the relationship between x and y? A. 2x + 4y s 35 B. 2x + 4y 2 35 C. 2x + 4y 35 34. Find the slope and y-intercept of this equation y = 4. A. m = 4, y = 0 B. m = 0, y = 4 C. m = 4, y = 4 D. m = 0, y = -4 35. Evaluate the expression 10a + 3b - 5a + 4b + 1a + 5b, for a = -5, b = -2. A. -6 B. 12 C. -36 D. -54 36. Is {(2, 3)), (-2, 4), (1, 4), (3, 1), (2, -2)} a function? A. yes B. no 37. Write the equation after the given transformation of the equation f(x) = |x|. Translation of 2 units right, 5 units down and a shrink of 2. A . (( x ) = 2/x + 21 - 5 B. f(x ) = 2/X - 21 - 5 C . f( x ) = 2/ X + 21 + 3 D. (( x ) = z/X - 21 + 538. Solve this equation -3x = 4x - 14. A. X = 14 B. x = 2 C. X = -2 D. x = 4 39. Solve this equation 2(4x + 1) = 3(2 + 4x). A. 5 B. -5 C. 1 D. -1 40. Suppose you select a number at random from the sample space (1, 2, 3, 4, 5, 6, 7, 8, 9). Find the theoretical probability P(a number that is greater than 6). B. C. - D. 1 41. Find the range of the relation {(3, -9), (2, 5), (-1, 6), (0, 0)}. A. {-9, -1, 0, 2, 3, 5, 6} B. {2, 3, 5, 6} C. {-1, 0, 2, 3} D. {-9, 0, 5, 6} 42. Solve this compound inequality 4r > -12 and 2r 5 and r 5 and r> -3 C. -5 20. A. x -2 B. x 15 C. x 4 D. -2