Final CRCT Review (Final_CRCT_Review)
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1 Name: Date: 1. If what is the value of x? Use this figure to answer the question. Which line in the figure above has a y-intercept of 3 and a slope of? j k l m 1
2 3. In the equations below, a is the price, in dollars, of an adult ticket to a school play, and s is the price of a student ticket. 5a + 3s = 42 3a + s = 22 What is the price of an adult ticket to the play? $4 $5 $6 $10 4. What value of x satisfies the system of equations below? Which expression equals (4xy 2 z 3 ) 2? 4x 2 y 4 z 6 8x 2 y 4 z 6 16x 2 y 4 z 6 16x 3 y 4 z 5 2
3 6. If what is the value of x? The balance below shows the equation. What is the value of x? 2 3 3
4 8. Which of the following is the graph of a line with a slope of 1? 9. What does equal? 4
5 10. Which list of ordered pairs is NOT a function? { (1, 1), (2, 3), (3, 4), (4, 5) } { (1, 1), (2, 2), (3, 3), (4, 4) } { (1, 1), (3, 1), (4, 2), (5, 3) } { (1, 1), (1, 3), (2, 3), (3, 4) } 11. Quadrilateral is shown on this coordinate plane. What is the length, to the nearest unit, of diagonal
6 12. On this coordinate plane, line represents a bike path. Each unit represents 2 yards. A deer is grazing at point What is the shortest distance between the deer and the bike path? 8 yards 10 yards 12 yards 16 yards 13. Which transformation can result in a new figure that is not congruent to the original figure? dilation reflection rotation translation 6
7 14. Two numbers, n and m, are shown as they appear in scientific notation on a scientific calculator display. Which expression represents the quotient of written in scientific notation? 15. A graphic artist is creating a design with two rectangles. The grid shows the first rectangle. The artist wants to rotate the first rectangle rectangle? about the origin. Which coordinate is a vertex of the second 7
8 16. The table below shows a linear relationship between x and y. What is the value of a? This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 17. A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle? 2 inches and 36 inches 4 inches and 18 inches 8 inches and 9 inches 11 inches and 11 inches This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 18. Wrangell St. Elias National Park and Preserve in Alaska covers 13,200,000 acres. What is 13,200,000 written in scientific notation? This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 8
9 19. A line is shown on the coordinate grid below. Which of the following best represents an equation of this line? This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. 20. What is another way to express 4? 9
10 21. Ryan's house lies 6 miles due east of Adrian's house. Adrian's house is 8 miles due south of Frank's house. What is the shortest distance from Frank's house to Ryan's house? 8 miles 10 miles 14 miles 24 miles 22. The slope of the line through points (1, 1) and (1, 2) is: zero negative positive undefined 23. What is the slope of the line on the graph below? 10
11 24. Given the system of the following two linear equations: x + 2y = 7 3x y = 2 What would be the first step in eliminating the variable y? Multiply the second equation by 2. Add the two equations. Add 5 to both sides of the second equation. Rewrite the equations so that y is on the right side. 25. The percentage of wheat grain eaten by mice in a farmer's field is shown below. Which of the following is the most likely percentage in 2005? Write.063 x 10-6 in scientific notation. 6.3 x x ,
12 27. Fill in the blank. All are either similar or congruent to each other. circles triangles rectangles parallelograms 28. Find the value of 3x 2x 2 when x = Apples cost 25 each, bananas cost 30 each, and cantaloupes cost $1.00 each. Which expression gives the number of cents Betty pays for a apples, b bananas, and c cantaloupes? 155abc 155(a + b + c) 25a + 30b + 1c 25a + 30b + 100c 30. Which algebraic expression corresponds to half of the sum of 3x and 4? 6x 3x + 2 (3x) + 4 (3x + 4) 31. Linda is one year less than twice as old as her brother Paul. Which formula below correctly represents this situation? L = 1 2P L = 2(P 1) L = 2P 1 L = (P 1) 32. Which of these sets of ordered pairs would define a line with a negative slope? (5, 5) (0, 1) (2,3) (-4, -1) (3, 6) (5, 1) (2, 3) (7, 6) 12
13 33. If the equations y = 3x + 5 and y = 3x 5 were graphed, which statement below would be true? The two lines will be parallel. The two lines would intersect at the origin. The two lines would intersect at right angles. The two lines would intersect at the point (5,-5). 34. The solution set for a pair of equations is (3,-1). One of the equations is 2y = x 5. Which of the following could be the other equation? 4y = 2x y = x + 2 y = x 4 2y = x+3 13
14 35. Alyssa is building a birdhouse. She needs a right triangle for the roof. Which triangle should Alyssa use? 14
15 36. A right triangle is shaded in the diagram. The area of two squares is shown. What is the area of the third square? 21 ft 2 35 ft ft 2 1,241 ft For a line, as the x-values increase by 1, the y-values increase by 4. Find the slope of this line Susan has two boxes. Each box is 12 cm high, 12 cm long, and 12 cm wide. Which statement describes Susan's boxes? The boxes are congruent, but not similar. The boxes are similar, but not congruent. The boxes are similar and congruent. The boxes are only similar. 15
16 39. The triangles shown are congruent. Which of the following two sides MUST be proportional? CM and SV CM and MT CT and VU CT and MT 40. Given: ABC ~ DEF. Which statement shown is a correct similarity statement? BCA ~ EDF BAC ~ EDF CBA ~ DFE CBA ~ FDE 41. A square-shaped playground has an area of 290 ft 2. Approximately, how long is one side of the playground? 12 ft 17 ft 36 ft 73 ft 16
17 42. Determine the distance between points A and Jordan drove a 3 miles per hour for a 5 hours. How far did Jordan drive? a 2 miles a 8 miles a 12 miles a 15 miles 44. Joanne has 2a 3 number of animals. Ronnie has 3a 3 number of animals. Odessa has a 4 number of animals. How many animals do Joanne, Ronnie, and Odessa have altogether? 5a 10 6a 10 5a 3 + a 4 6a 3 + a 4 17
18 45. What are the x and y values in this system of equations? 2x + 4y = 8 2y = x + 8 (-2, 1) (-2, 3) (-4, 2) (-4, 4) 46. Which equation is true for all pairs of values in the table? Permission has been granted for reproduction by the Virginia Department of Education Virginia Department of Education 18
19 47. Which graph corresponds to this table? 19
20 Permission has been granted for reproduction by the Virginia Department of Education Virginia Department of Education 48. Which line on the graph below has a negative slope? A B C D Permission has been granted for reproduction by the Virginia Department of Education Virginia Department of Education 49. What is the slope of the line Permission has been granted for reproduction by the Virginia Department of Education Virginia Department of Education 20
21 50. Which equation fits the data in the table? y = x 2 y = 2x 1 y = 3x 3 y = x + 1 Permission has been granted for reproduction by the Virginia Department of Education Virginia Department of Education 51. What is the solution to the system of equations shown above? x = 6, y = 1 x = 4, y = 3 x = 1, y = 6 x = 1, y = 7 Permission has been granted for reproduction by the Virginia Department of Education Virginia Department of Education 52. Which of the following best represents? A number between 3 and 4 6 and 7 7 and 8 8 and 10 Permission has been granted for reproduction by the Virginia Department of Education Virginia Department of Education 21
22 53. What is the solution to 4(2x 3) = 2(3x + 1)? Permission has been granted for reproduction by the Virginia Department of Education Virginia Department of Education 54. Which equation most likely represents the line shown on the graph? Permission has been granted for reproduction by the Virginia Department of Education Virginia Department of Education 22
23 55. Which is equivalent to Permission has been granted for reproduction by the Virginia Department of Education Virginia Department of Education 56. Which is equivalent to the expression shown below? Permission has been granted for reproduction by the Virginia Department of Education Virginia Department of Education 23
24 57. Scotty is making a train of dominoes on the floor. How many dominoes are needed to complete the triangle? Permission has been granted for reproduction by the Virginia Department of Education Virginia Department of Education 24
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