REVIEW for GEORGIA MILESTONES MATH ASSESSMENT. NAME ______
Standard: 8.EE.7a
Domain: Expressions & Equations
Theme: Analyze and solve linear equations and pairs of simultaneous linear equations
Description: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
1. Which two consecutive odd integers have a sum of 44?
A 21 and 23 B 19 and 21 C 23 and 25 D 17 and 19
2. 25 is subtracted from a number. The difference is then divided by 5. The quotient equals 5. What is the number?
A10 B15 C20 D50
3. A bus was rented at a fixed cost by a group of 30 people. When 10 more people were added to the group, the fixed cost of the bus did not change, but the charge for each person in the original group was $2 less than before. If each person paid the same amount, what was the fixed cost of renting the bus?
A$240 B$360 C$300 D$400
4. During each of the first three quarters of the school year, Melissa earned a grade point average of 2.1, 2.9, and 3.1. What does her 4th quarter grade point average need to be in order to raise her grade to a 3.0 cumulative grade point average?
A3.9 B4.2 C2.6 D3.5
5. Nora is going to earn $300 from her summer job. Combined with her savings, Nora will then have $1,500 toward her music school. How much money does Nora have in her savings?
A$1,000 B$1,200 C$1,300 D$1,800
Standard: 8.EE.2
Domain: Expressions & Equations
Theme: Work with radicals and integer exponents
Description: Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that ?2 is irrational.
6. The Smith family built a new home on a square piece of property. If each dimension of the property is a whole number of yards, which of the following could not possibly be the area of their property?
A 4,000 sq. yards B6,400 sq. yards
C10,000 sq. yards D40,000 sq. yards
7. The cube root of 50 is between which two integers?
A2 and 3 B3 and 4 C4 and 5 D5 and 6
8. What is the cube root of 1,000 ?
A10 B100 C 33 D. 333
9. The square root of 150 is between which two integers?
A 11 and 12 B 12 and 13 C 13 and 14 D 14 and 15
Standard: 8.SP.1
Domain: Statistics & Probability
Theme: Investigate patterns of association in bivariate data
Description: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
10. Which of the following scatter plots is the best example of a linear association?
ABCD
11.If a scatter plot has a line of best fit that decreases from left to right, which of the following terms best describes the association?
A Positive association B Negative association
C Constant association D Nonlinear association
12. If a scatter plot has a line of best fit that increases from left to right, which of the following terms best describes the association?
APositive association BNegative association
C Constant association D Nonlinear association
13. 150 students were surveyed and asked whether they played a sport and whether they played a musical instrument. The results are shown in the table above.
What fraction of the students who play an instrument also do not play a sport?
A. B. C. D.
Standard: 8.EE.5
Domain: Expressions & Equations
Theme: Understand the connections between proportional relationships, lines, and linear equations
Description: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
14. Find the unit rate if 12 iPods cost $1,440.
A$100 B$150 C$120 D$50
15. Raul is having a birthday party and he needs bags of potato chips. Which of the following purchases will give him the lowest unit cost?
A$5.00 for a 1 lb. bag B$4.50 for a 14 oz. bag
C$6.00 for a 20 oz. bag D$5.25 for an 18 oz. bag
16.Find the unit rate if 20 MP3 players cost $1,460.
A$70 B$73 C$100 D$146
17.The first major ski slope in Vermont has a rise of 9 feet vertically for every 54 feet horizontally. A second ski slope has a rise of 12 feet vertically for every 84 feet horizontally.Which of the following statements is true?
A The first slope is steeper than the second.B.The second slope is steeper than the first.
CBoth slopes have the same steepness. D.Cannot be determined from the information given.
Standard: 8.G.9
Domain: Geometry
Theme: Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.
Description: Know the formulas for the volume of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
18. Which of the following has the greatest volume?
A.A sphere with a radius of 3 cm B.A cylinder with a height of 4 cm and a radius of 3 cm
C.A cone with a height of 3 cm and a radius of 6 cm D.All three volumes are equal
19. What is the volume of a sphere with a radius of 6?
A 72 B 144 C 216 D 288
20. A cone has a height of 9 and a base whose radius is 4. Find the volume of the cone.
A 18 B 36 C 48 D 72
21. What is the volume of a cylinder with a radius of 5 and a height of 3?
A 30 B 45 C 75 D 120
22. A round ball has a diameter of 10 inches. What is the approximate volume of the ball?
A130 cubic inches B260 cubic inches C390 cubic inches D520 cubic inches
Standard: 8.F.4
Domain: Functions
Theme: Use functions to model relationships between quantities
Description: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
23. If a graph includes the points (4, 5) and (4, 7), which of the following must be true?
A It is the graph of a linear function. B It is the graph of an increasing function.
C It is not the graph of a function. D None of the above
24. The graph of a linear function y = mx + 2 goes through the point (4, 0). Which of the following must be true?
A m is negative. B m = 0 C m is positive D Cannot be determined.
25. The graph of a linear function y = 2x + b passes through the point (-5, 0). Which of the following must be true?
A b is positive. B b is negative. Cb = 0 D Cannot be determined
Standard: 8.F.5
Domain: Functions
Theme: Use functions to model relationships between quantities
Description: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
26. The graph of a linear function lies in the first and third quadrants. Which of the following must be true?
AIt also lies in the second quadrant. BIt also lies in the fourth quadrant.
CIt is an increasing function. DIt is a decreasing function.
27. The graph of a decreasing linear function crosses the vertical axis at (0, 3). Which of the following CANNOT be true?
A The graph lies in the first quadrant. B The graph lies in the second quadrant.
C The graph lies in the third quadrant. D The graph lies in the fourth quadrant.
28. Which of the following best describes the x & y coordinates of any point in the first quadrant?
ABoth are positive BBoth are negative
COne is positive and one is negative DNone of these
29. A linear equation is plotted on the coordinate plane, and its graph is perpendicular to the x-axis. Which of the following best describes the slope of this line?
A Zero B Undefined C Negative D Positive
Standard: 8.NS.2
Domain: The Number System
Theme: Know that there are numbers that are not rational, and approximate them by rational numbers
Description: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., ?^2). For example, by truncating the decimal expansion of ?2 (square root of 2), show that ?2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
30. Which of the following choices represent the correct order of the given real numbers on the number line (from least to greatest)?
A 0.75, √.49, 1/2, 0.49 B 0.49, 1/2, √.49, 0.75
C √.49, 0.49, 1/2, 0.75 D 0.49, 1/2, 0.75, √.49
31. If you fill in the _____ in each of the following choices with √7, which displays the correct ordering from least to greatest?
A___, 2.5, 2.63, 2.65B2.5, ___, 2.63, 2.65
C2.5, 2.63, ___, 2.65D2.5, 2.63, 2.65, ___
32. Between which of these pairs of rational numbers does √5 lie on the number line?
A2.0 and 2.1B2.1 and 2.2C2.2 and 2.3D2.3 and 2.4
33. Between which two whole numbers does √5 lie on the number line?
A1 and 2B2 and 3C3 and 4D4 and 5
Domain: The Number System
Theme: Know that there are numbers that are not rational, and approximate them by rational numbers
Standard Description: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
34. Complete the following statement:
Pi is ______.
A both real and rationalBreal but not rational
C rational but not realD neither real nor rational
35. Which of the following is an integer?
A-3BC -12.5D 0.454545...
36. Which of the following statements is true?
AEvery rational number is an integer. BEvery whole number is a rational number.
CEvery irrational number is a natural number. DEvery rational number is a whole number.
Standard: 8.F.1
Domain: Functions
Theme: Define, evaluate, and compare functions
Description: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
37. Which of the following is NOT a function?
A{(0, 0), (2, 2), (4, 4)}B{(0, 4), (2, 4), (4, 4)}
C{(0, 0), (2, 0), (4, 0)}D{(0, 0), (0, 2), (0, 4)}
38. Which coordinate is not on the line y = 3x - 1?
A. (0, -1)B. (-1,2)C. (2,5)D. (4,11)
39. Which equation is represent by the graph below?
Domain: Functions
Theme: Use functions to model relationships between quantities
Standard Description: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values
40. Find the slope of 3x -2y = 7.
A. B. C. D.
41. Juan has forty dollars in his jacket. Every day he spends half of the money that is in the jacket. On the first day (Monday), he spends $20 leaving him with twenty dollars. On what day will he start with less than $3.00 in his jacket?
A. FridayB. ThursdayC. TuesdayD. Saturday
42.Which function is non-linear?
A. y = 4x – 3B. y - 3x2 = -12C. y = πx + 2D. y - 5x = 2
Domain: Geometry
Theme: Understand congruence and similarity using physical models, transparencies, or geometry software
Standard Description: Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the three angles appear to form a line, and give an argument in terms of transversals why this is so.
43. Given the following angles, what is the measure of angle x?
44If a triangle has one 90o angle, which of the following could be the measures of the other two angles in the triangle?
A. 20o and 80oB. 25o and 65oC. 30o and 70oD. 55o and 55o
45. In a triangle if b = 40o and c = 30o, what is the measure of d?
A. 35oB. 700C. 1100D. 145o
46. Point J has the coordinates (-5, 6). What are the coordinates of its image if it is reflected in the y-axis?
A. (5,-6)B. (5,6)C. (-5,6)D. (-6,5)
EXTENDED CONSTRUCTIVE REPSONSE
Tamara purchased a new car two years ago. The original value of the car was $27,750. She is trying to sell the car now, and wants to know the present value of the car (taking into account depreciation.) During the first year of ownership, the value of the car depreciated 22.5%. During the second year of ownership, the value of the car depreciated 12.5% of its value at the end of Year 1.
Use the information above to complete the following:
• What is the value of the car at the end of Year 2? Show all work.
• If Tamara waits another year before selling the car, and the rate of depreciation stays at 12.5%, how much value will the car lose during the third year? Show all work.
• What would be the value of the car at the end of Year 3? Explain.
Constructive Response
Write a linear function of your choice. Then write a set of order pairs that this function passes through.
A board measures 2 2/3 yards in length. It is cut in half. One of the halves is cut into 4 equal pieces. The other half is cut into 3 equal pieces. What is the difference (in inches) between the lengths of the resulting pieces? Show your work
A square with an area of 36 square units is drawn in Quadrant II of a coordinate grid. One of the vertices is at the origin. What is the x-coordinate of the vertex farthest from the origin?
Point H is located at (5, 8) in the coordinate plane. Point H is translated downward 10 units, translated left 7 units, and then reflected in the y-axis. What is the new x-coordinate of the image of Point H?