TX Grade 8 Math ©2015 STAAR Practice Test 1 SPRING BREAK …€¦ · TX Grade 8 Math ©2015 STAAR Practice Test 1 SPRING BREAK PACKET (TEST GRADE) 1. Which best describes the data

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TX Grade 8 Math ©2015 STAAR Practice Test 1

SPRING BREAK PACKET (TEST GRADE)

1. Which best describes the data set in the scatterplot?

A. Linear, because (0, 0) is a data point B. Nonlinear, because (0, 0) is a data point C. Linear, because the data points cluster around a straight line D. Nonlinear, because the data points cluster around a straight line 2. A cone has a volume of 14.14 cubic inches and has a diameter of 3 inches. Approximately how tall is the cone? Use 3.14 for π. F. 1.5 in. G. 6 in. H. 18.85 in. J. 21 in.

3. Which statement about the graph is correct?

A. The slope is and the y-intercept is 3. B. The slope is 3 and the y-intercept is 4.

C. The slope is 3 and the y-intercept is .

D. The slope is and the y-intercept is . 4. Rectangle ABCD is translated such that the image of A is at A′ (8, 7).

If the algebraic rule is expressed as (x, y) → (x + 3n, y + 3n), what is the value of n? F. 2 G. 3 H. 4 J. 6




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5. What is the approximate value of √84 to the nearest hundredth? Record your answer and fill in the bubbles on the following grid. Be sure to use the correct place value.

+

-

. . . . . . .

0 0 0 0 0 0 0

1 1 1 1 1 1 1

2 2 2 2 2 2 2

3 3 3 3 3 3 3

4 4 4 4 4 4 4

5 5 5 5 5 5 5

6 6 6 6 6 6 6

7 7 7 7 7 7 7

8 8 8 8 8 8 8

9 9 9 9 9 9 9

6. The following table shows the money that Denise charges for babysitting. What is the slope of the graph of the relationship and what does it represent? Hours245 Charge ($)265265

F. The slope is , and it represents the charge per hour. G. The slope is 13, and it represents the charge per hour. H. The slope is 24, and it represents the hours per dollar. J. The slope is 13, and it represents the hours per dollar. 7. Three dilations are applied to the same figure in the order shown. (x, y) → (0.05x, 0.05y) (x, y) → (–0.4x, 0.4y) (x, y) → (8x, 8y) What value of r provides a single rule that would give the same image as the three rules shown? Write your answer in decimal form. (x, y) → (rx, ry)

+

-

. . . . . . .

0 0 0 0 0 0 0

1 1 1 1 1 1 1

2 2 2 2 2 2 2

3 3 3 3 3 3 3

4 4 4 4 4 4 4

5 5 5 5 5 5 5

6 6 6 6 6 6 6

7 7 7 7 7 7 7

8 8 8 8 8 8 8

9 9 9 9 9 9 9

8. Does the table show a proportional relationship?

x 3 5 7 9

y 3.5 4.5 5.5 6.5

F. Yes, m = 2 and b = 0 G. Yes, m = 0.5 and b = 0 H. No, m = 2 and b = 2 J. No, m = 0.5 and b = 2 9. Larissa has a bank loan of $5,000 at 4.5% interest. To pay off the loan in 5 years, she will need to make monthly payments of $93.22. To pay off the loan in 3 years, she will need to make monthly payments of $148.73. How much will she save in interest if she pays off the loan in three years instead of five? A. $119.83 B. $238.92 C. $345.28 D. $593.20




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10. The graph of the proportional relationship between the number of notebooks and the total cost passes through the points (1, r) and (6, 6.12). What is the value of r? F. 0.08, because r is the unit rate G. 1.02, because r is the unit rate H. 0.08, because r is the y-intercept J. 1.02, because r is the y-intercept 11. Which investment will earn the greatest amount of interest? A. $500 at a 2% interest rate compounded annually for 5 years B. $550 at a 2% interest rate compounded annually for 2 years C. $550 at a 2.5% simple interest rate for 3 years D. $250 at a 5% simple interest rate for 4 years 12. The number of people engaging in water sports varies directly with the rise in temperature. Based on this scatterplot, predict the number of people engaging in water sports when the temperature is 48°C.

Record your answer to the nearest 10 people and fill in the bubbles on the following grid. Be sure to use the correct place value.

+

-

. . . . . . .

0 0 0 0 0 0 0

1 1 1 1 1 1 1

2 2 2 2 2 2 2

3 3 3 3 3 3 3

4 4 4 4 4 4 4

5 5 5 5 5 5 5

6 6 6 6 6 6 6

7 7 7 7 7 7 7

8 8 8 8 8 8 8

9 9 9 9 9 9 9

13. Which statement is correct about the relationship shown in the table?




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Items 1 2 3 4 5

Total Cost ($) 22 42 62 82 102

A. The y-intercept is 0. B. The rate of change is 20. C. The unit rate is $22/hour. D. It is a proportional relationship.

14. There is foot in one inch. Does the graph show the relationship between feet and inches?

F. Yes, because the graph has a slope of G. Yes, because the graph has a slope of 12

H. No, because the graph has a slope of J. No, because the graph has a slope of 12 15. Which statement about –√59.29 is true?

A. –√59.29 cannot be ordered because it is not a real number. B. –√59.29 is greater than 7, but less than 8. C. –√59.29 is greater than –8. D. –√59.29 = –7.5 16. What missing value of x will make the mapping a function?

F. 2 G. 3 H. 4 J. 5 17. Amy made this graph showing profit earned by selling novels.




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Which statement about the data is correct? A. The relationship is proportional, and the profit earned was 0 when 0 novels were sold. B. The relationship is non-proportional, and the profit earned was 0 when 0 novels were sold. C. The relationship is proportional, and the profit earned was $2.50 when 0 novels were sold. D. The relationship is non-proportional, and the profit earned was $2.50 when 0 novels were sold. 18. Tyler cuts out a cardboard circle with a radius of seven centimeters. He cuts more circles with the same radius and stacks them to make the shape of a cylinder five centimeters high. What is the approximate volume of the cylinder? F. 110 cm3

G. 245 cm3

H. 645 cm3

J. 770 cm3

19. An integer can be represented by the equation x + 4 + 55 + x + 1 = x + x + 6 + x. What is the value of x? A. 27 B. 33 C. 54 D. 66 20. In the model, below, one square grid is formed from 625 squares. Another square grid is formed from 576 squares.

If the triangle shown is a right triangle, how many squares are in the third square grid? F. 6 G. 7 H. 36 J. 49 21. Given the relation (2, 3), (4, 7), (6, 11), (x, 13), which of the following values of x will make the relation a function? A. 2 B. 4 C. 6 D. 7




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22. A cylinder is eight inches high with a radius of three inches. It contains a ball with diameter five inches. Approximately what volume is left unoccupied in the cylinder? F. 65 in.3

G. 161 in.3

H. 210 in.3

J. 524 in.3

23. The figure on this coordinate grid is rotated 180° counter-clockwise.

What will be the location of the bottom-most vertex of the resulting image? A. The origin, because (x, y) → (–y, x) B. Quadrant I, because (x, y) → (–x, y) C. The y-axis, because (x, y) → (x, –y) D. Quadrant IV, because (x, y) → (–x, –y) 24.Which expression CANNOT be used to find the surface area of the cube?

F. 6.5 × 6.5 × 6.5 G. 6(6.5)2 H. 6.5 × 6.5 × 6 J. 2(6.5)(6.5) + 2(6.5)(6.5) + 2(6.5)(6.5) 25. A teacher recorded the scores of two groups of students. Grade 7: 40, 42, 44, 45, 46, 48, 50 Grade 8: 39, 43, 45, 46, 49, 50, 50 Which statement is correct? A. Grade 7 has a greater mean and a greater mean absolute deviation than Grade 8. B. Grade 8 has a greater mean and a greater mean absolute deviation than Grade 7. C. Grade 7 has a greater mean than Grade 8. Grade 8 has a greater mean absolute deviation than Grade 7. D. Grade 8 has a greater mean than Grade 7. Grade 7 has a greater mean absolute deviation than Grade 8. 26. Look at the table. Which value of x would make the table describe a




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function?

x 2 3 5 ?

y 14 21 35 56

F. 2 G. 3 H. 5 J. 8 27. Which of the following situations CANNOT be modeled by the inequality 10 + 15x < 22x? A. Carpenter A charges $10 plus $15 per hour. Carpenter B charges $22 per hour. For how many hours will Carpenter A cost less than Carpenter B? B. Plumber A charges $15 plus $10 per hour. Plumber B charges $22 per hour. For how many hours will Plumber A cost less than Plumber B? C. Lisa started with $10 in her account. She saves $15 per week. Ben has no money in his account, but adds $22 per week. For how many weeks will Ben have more money in his account than Lisa? D. Electrician A charges $10 plus $15 per hour. Electrician B charges $22 per hour. For how many hours will Electrician A cost less than Electrician B? 28. Jacob earns $55 in 2 hours, or $130 in 5 hours. Which equation represents this relation? F. y = 20x + 10 G. y = 25x + 5 H. y = 45x + 10 J. y = 50x + 5 29.What value of y will make Rectangles P and Q similar?

A. 54, because similar figures have sides of equal length B. 32, because both shapes are squares C. 27, because in pairs of similar figures, one figure has sides twice the length of the other D. 24, because similar figures have proportional sides 30. A scatterplot shows the hourly income of a certain group of




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mathematicians and their years of experience. Based on the trend line shown, what will be the daily income of a mathematician with 11 years of experience, if he or she works for 8 hours per day?

F. $54 G. $58 H. $432 J. $464 31. The dimensions for several rectangular prisms are shown. Which rectangular prism has the least surface area? A. 7 in. by 7 in. by 4 in. B. 7 in. by 5 in. by 6 in. C. 7 in. by 8 in. by 4 in. D. 7 in. by 9 in. by 3 in. 32. Joe placed three numbers on the Venn diagram. Did he do it correctly?

F. No, because – is a whole number G. Yes, because they are placed correctly

H. No, because is not a rational number J. No, because √65 is not a rational number 33. Stella walks from A to B, then B to C. How far does she walk?




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A. About 4 units B. About 6 units C. About 10 units D. About 20 units 34. Which algebraic representation could be a transformation that takes the pre-image from Quadrant III to an image that is congruent, has the same orientation, and is in Quadrant IV? Note: a > 1 and b ≠ 0.

F. (x, y) → (–y, x) G. (x, y) → (–x, –y) H. (x, y) → (ax, ay) J. (x, y) → (x + a, y + b) 35. A cylinder has a radius of four feet and a height of six feet. A cone has a diameter of nine feet and a height of ten feet. Which expression correctly represents their combined volume?

A. (π • 42 • 6) + ( • π • 4.52 • 10) ft3

B. (π • 42 • 6)( • π • 4.52 • 10) ft3

C. (π • 4 • 6) + ( • π • 4.5 • 10) ft3

D. (π • 42 • 6) + ( • π • 92 • 10) ft3




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36 If (x, y) → (3ax, 3ay), for what value of a would the point R′ of the resulting image have an x-value of 9?

F.

G.

H.

J. 37. An equation is graphed on a coordinate grid and the graph passes through the points A (4, 5), B (–2, 1), and C (0, 1). Could the graph be a straight line? Use slope triangles to help you. A. No, because y2 – y1 is not equal to x2 – x1 consistently between points B. No, because a right triangle with the hypotenuse AB does not have the same height-to-length ratio as a right triangle with the hypotenuse AC C. Yes, because a right triangle with the hypotenuse AB is similar to a right triangle with the hypotenuse BC D. Yes, because a right triangle with the hypotenuse AB has the same hypotenuse length as a right triangle with the hypotenuse BC

38. The vertices of △PQR are P (5, 8), Q (12, 12), and R (8, 14). The sides of △PQR are then dilated by 50% to form △P′Q′R′. Which statement is NOT true about the original and dilated figures? F. The sides are proportional. G. The angles are equal. H. The ratio between the side lengths of the dilated figure and the

original figure is . J. The measures of the angles of the original figure are twice the measures of the angles of the dilated figure. 39. Lily is comparing the taxi fares of two companies. EZ-Go Cabs charges a fixed charge of $3.50, plus $2.50 per mile traveled. Safe Journey Taxi Service charges $4 per mile. What inequality can you use to find how many miles Lily must travel to make the total cost with EZ-Go Cabs less than the total cost with Safe Journey Taxi Service? A. 3.50 + 2.50x < 4x B. 3.50x + 2.50 < 4x C. 3.50 + 2.50x > 4x D. 3.50 – 2.50x < 4x 40. A dilation of (x, y) → (2x, 2y) is applied to a triangle. The new coordinates are (2t, –6t), (4t, 5t), and (t, –3t). Which of the following is a coordinate of the original figure? F. (2t, 2.5t) G. (2t, –3t) H. (1.5t, –3.5t) J. (t, –4t)




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41. The table shows a relationship between the values of a and b.

a b

4 –2

8 –4

14 –7

b = __ × a

What value completes the equation that represents the relationship? Record your answer and fill in the bubbles on the following grid. Be sure to use the correct place value.

+

-

. . . . . . .

0 0 0 0 0 0 0

1 1 1 1 1 1 1

2 2 2 2 2 2 2

3 3 3 3 3 3 3

4 4 4 4 4 4 4

5 5 5 5 5 5 5

6 6 6 6 6 6 6

7 7 7 7 7 7 7

8 8 8 8 8 8 8

9 9 9 9 9 9 9

42. Alex is at home. He walks north three blocks and east six blocks. How many blocks is he from home? Choose the equation that you could solve to answer this question. F. 32 + 62 = x2 G. 32 + x2 = 62

H. (3)(6) = x J. 3 + 6 = x

43. Jeff had $1,085 in his bank account. Then he withdrew $55 per month to pay bills. He wrote the equation y = 55x – 1,085 to model the situation. Is Jeff’s equation correct? A. Yes, because the initial amount is $1,085 and the amount changes by $55 each month B. No, because 1,085 should be positive and 55 should be negative C. Yes, because the initial amount is –1,085 and the amount changes by 55 each month D. No, because the slope is correct, but the y-intercept is not 44. The table lists the costs of packages of beads at a store. If the store has a sale and reduces the unit rate by one-fourth, what would be the cost of eight packages of beads?

Packages Cost ($)

2 1.20

3 1.80

4 2.40

F. $1.20 G. $3.60 H. $4.20 J. $4.80




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45. The distance from school to Henry's home is two miles farther than the distance from school to Alice's home. The sum of the distances from the school to their homes is eight miles. Let x be the distance from school to Henry’s home. Let y be the distance from school to Alice’s home. This situation is shown by these equations.

x = y + 2 x + y = 8

The graph shows the solution to the equations.

Which of the following could show how to verify the solution? A. 3 = 5 + 2 8 = 3 + 3 B. 3 = 3 + 2 8 = 5 + 5 C. 5 = 5 + 2 8 = 3 + 3 D. 5 = 3 + 2 8 = 5 + 3

46. Which table shows a proportional relationship?

Table A

x y

1 4

2 6

3 8

4 10

Table B

x y

1 1.5

2 3

3 4.5

4 6

F. Table A; its graph will pass through (0, 0) G. Table B; its graph will pass through (0, 0) H. Table A; its graph will not pass through (0, 0) J. Table B; its graph will not pass through (0, 0)




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47. The scatterplot shows shoe sizes of 17 people relative to their age in years.

Which best describes the correlation between a person’s age and his or her shoe size? A. Linear and positive B. Linear and negative C. Nonlinear and positive D. Nonlinear and negative

48. Which equation models the relationship shown in the table?

x 20 28 44 52

y 90 88 84 82

F. y = – x + 105 G. y = – x + 95

H. y = x + 85 J. y = x + 90 49. The diagram represents part of a bridge. If m∠XYZ = 60° and m∠XZY = 60°, what is m∠ZYP?

A. 45° B. 60° C. 120° D. 180° 50. Which is NOT a true statement about √38? F. It is approximately 6.16. G. It is between √36 and √49. H. It is greater than 7, but less than 8. J. It is greater than 5, but less than 7.




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51. How much more money is earned on a $2,500 investment at 2% annual compound interest for 5 years than a $2,500 investment at 2% simple annual interest for 5 years? A. $10.20 B. $53.68 C. $106.20 D. $187.34 52. A doctor’s office kept track of the heights and weights of a certain group of patients. The scatterplot shows the relationship between height and weight for the group. Predict the weight of a patient whose height was 5'6'.

F. 100 pounds G. 125 pounds H. 130 pounds

J. 150 pounds 53. A can is in the shape of a cylinder. It has a diameter of five inches and a height of seven inches. What is the best approximation of the least amount of metal needed to make the can? A. 110 in.2 B. 149 in.2 C. 220 in.2 D. 377 in.2

54. What equation could represent the situation shown by this model?

F. 18(8) = –40(10) G. 18x(8) = –40(10x) H. 18x + 8 = 40 + 10x J. 18x + 8 = –40 + 10x




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55. A right circular cone has a volume of 15π in.3 and a radius of 3 in.

What is the slant height, l, of the cone? A. √2 in. B. √5 in. C. √17 in. D. √34 in.

56. Jack wrote the numbers √17, 4.58, –√20, and . Which statement is NOT true about the numbers?

F. is greater than –√20. G. 4.58 is greater than √17. H. √17 is the greatest of the given numbers.

J. is greater than 4.58.

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TX Grade 8 Math ©2015 STAAR Practice Test 1 SPRING BREAK …€¦ · TX Grade 8 Math ©2015 STAAR Practice Test 1 SPRING BREAK PACKET (TEST GRADE) 1. Which best describes the data