Revision Sheets Math Grade 8 PDF

Student Name: Date: Revision sheets math Grade 8 1) Which equation represents this sentence? Four times the sum of a number x and a number y is equal to 20. 4(x + y) = 20 A) B) 4 + x + y = 20...

Student Name: Date: Revision sheets math Grade 8 1) Which equation represents this sentence? Four times the sum of a number x and a number y is equal to 20. 4(x + y) = 20 A) B) 4 + x + y = 20 C) 4x + y = 20 D) 4xy = 20 2) Solve x – 5 = 21. x= 3) Solve 21 = 3p – 6. A) 9 B) 5 C) 13 D) 24 4) Solve 5 = 10 for x. Assume that a ≠ 0. 15 + ax A) x = − 13 a B) x = 7 a C) x = 65 a D) x = 35 a 5) Solve 4x – 5 = 41. x= 6) Solve 4(x + 9) = 6x – 4. A) 3.2 B) 16 C) 20 D) 6.5 Copyright © 2024, McGraw-Hill Education. 1/14 This content was printed for the exclusive use of licensed students. Student Name: Date: Revision sheets math Grade 8 7) Solve 3 |y + 6| = 30. A) {–12, 8} B) {–4, 4} C) {4, 16} D) {–16, 4} 8) Solve x+15 = 2. 10 5 A) 1 B) 19 C) –13 D) –11 9) Solve 21 x = 144. x= 10) Solve the equation 2x + 12 5 = 4y for x. A) x = 20y − 12 B) x = 1 y + 3 10 5 C) x = 10y − 12 D) x = 10y − 6 11) Which equation represents this sentence? The sum of 5 times a number m and 12 is equal to 27. 5m + 12 = 27 A) B) 5(m + 12) = 27 C) 5 + 12m = 27 D) 5(12m) = 27 12) Solve n − 8 = 5 and identify the property of equality used. A) –13; Subtraction Property of Equality B) –3; Addition Property of Equality C) 3; Multiplication Property of Equality D) 13; Addition Property of Equality Copyright © 2024, McGraw-Hill Education. 2/14 This content was printed for the exclusive use of licensed students. Student Name: Date: Revision sheets math Grade 8 13) Solve z + 12 = –3. z= 14) Solve 1 t = 10. 5 A) 2 B) 5 C) 15 D) 50 15) If 3x – 6 = 42, what is the value of x? A) 8 B) 12 C) 16 D) 20 16) Solve 8 = 11 – 3y. y= 17) Solve 5 – kx = 9 for x. Assume that k ≠ 0. A) x = − 14 k B) x = − 4 k C) x = 4 k D) x = 14 k 18) Solve 3x + 1 = 4x – 8. x= 19) Solve 5(2y + 1) = 4y + 10. A) 5 6 B) 3 2 C) 15 14 D) 5 2 Copyright © 2024, McGraw-Hill Education. 3/14 This content was printed for the exclusive use of licensed students. Student Name: Date: Revision sheets math Grade 8 20) Solve b 12 = 1015. A) 1 18 B) 1 8 C) 8 D) 18 21) Solve 3 x+4 = x −2 4. A) –4 B) 4 C) 8 D) 20 22) Which equation represents the sentence? The sum of five times a number and seven is equal to twelve. A) 5n + 7 = 12 B) 5(n + 7) = 12 C) (5n)(7) = 12 D) 5 + n + 7 = 12 23) Which sentence represents the equation? 3x + 4 = 10 A) The sum of three times x and four equals ten. B) Three times the sum of x and four equals ten. C) The product of three times x and four equals ten. D) Three times the product of x and four equals ten. 24) Solve 1a = 12. 2 A) 6 B) 10 C) 14 D) 24 Copyright © 2024, McGraw-Hill Education. 4/14 This content was printed for the exclusive use of licensed students. Student Name: Date: Revision sheets math Grade 8 25) Solve p + 8 = 15. p= 26) Solve bx − 4 = 5 for x. Assume that b ≠ 0. A) x = 1 b B) x = 9 b C) x = 9 – b D) x = 1 – b 27) Solve 3y + 6 = 18. y= 28) Solve 4m + 5 = 2m + 45. A) 10 B) 20 C) 25 D) 40 29) Solve 5(r + 3) = 3r + 35. A) 2 B) 10 C) 18 D) 20 30) Solve 3(x – 5) – x = 2x + 15. A) 7.5 B) 15 C) no solution D) all real numbers Copyright © 2024, McGraw-Hill Education. 5/14 This content was printed for the exclusive use of licensed students. Student Name: Date: Revision sheets math Grade 8 31) Solve|y − 4| = 3. A) {1, 7} B) {–7, 7} C) {7} D) {–1} 32) Solve m = 2. 15 5 A) 6 B) 12 C) 22 D) 30 33) Solve 5 2 = 10y. y= 34) Solve 2x + 18 = 6y for x. A) x = 3y – 18 B) x = 3y – 9 C) x = 6y – 18 D) x = 9 – 6y Copyright © 2024, McGraw-Hill Education. 6/14 This content was printed for the exclusive use of licensed students. Student Name: Date: Revision sheets math Grade 8 35) Fill in the blanks using the available answer choices. PAYCHECK The graph represents the amount of Seth’s paycheck for different numbers of hours he works. a. Identify the independent and dependent variables of the relation. independent: , dependent: (Blank 1) (Blank 2) b. Describe what happens in the graph. As the number of hours worked increases, the amount of the paycheck. At a (Blank 3) certain number of hours worked, the rate of pay. (Blank 4) Blank 1 options Blank 2 options Blank 3 options hours worked hours worked decreases amount of paycheck amount of paycheck increases Blank 4 options decreases increases Copyright © 2024, McGraw-Hill Education. 7/14 This content was printed for the exclusive use of licensed students. Student Name: Date: Revision sheets math Grade 8 36) Express the relation in the table as a set of ordered pairs. x y 1 7 3 45 5 11 13 15 A) {(1, 7), (1, 45), (5, 11), (13, 15)} B) {(1, 7), (3, 11), (5, 11), (13, 15)} C) {(1, 7), (3, 45), (5, 11), (13, 15)} D) {(1, 7), (3, 45), (5, 11), (5, 15)} 37) Express the relation in the mapping as a set of ordered pairs. A) {(−5, 8), (−2, − 8), (0, − 10), (0, 8), (4, 5)} B) {(−5, 8), (−2, − 10), (0, − 10), (0, 8), (4, 5)} C) {(−5, 8), (−2, − 10), (0, − 10), (0, 8), (0, 5)} D) {(−5, 8), (−5, − 10), (0, − 10), (0, 8), (4, 5)} Copyright © 2024, McGraw-Hill Education. 8/14 This content was printed for the exclusive use of licensed students. Student Name: Date: Revision sheets math Grade 8 38) Express the relation in the graph as a set of ordered pairs. A) {(2, 5), (5, 0), (7, 8), (7, 8), (10, 2)} B) {(2, 5), (5, 0), (5, 8), (7, 10), (10, 2)} C) {(2, 5), (2, 0), (7, 8), (7, 10), (10, 2)} D) {(2, 5), (5, 0), (7, 8), (7, 10), (10, 2)} 39) STRUCTURE Express the relation in the mapping as a set of ordered pairs. A) {(3, 5), (−4, 6), (3, 6), (2, 4), (1, 3)} B) {(3, 5), (−4, 6), (3, 8), (2, 4), (1, 3)} C) {(3, 5), (−4, 6), (3, 8), (3, 4), (1, 3)} D) {(3, 5), (−4, 6), (3, 8), (1, 4), (1, 3)} Copyright © 2024, McGraw-Hill Education. 9/14 This content was printed for the exclusive use of licensed students. Student Name: Date: Revision sheets math Grade 8 40) Determine whether the relation is a function. Explain. A) Yes; for each element of the domain, there is only one element of the range. B) Yes; for each element of the range, there is only one element of the domain. C) No; for each element of the domain, there is only one element of the range. D) No; the element 1 is in both the domain and the range. 41) Determine whether the relation is a function. Explain. A) Yes; for each element of the range, there is only one element of the domain. B) Yes; for each element of the domain, there is only one element of the range. C) No; the element 1 in the range is paired with both –3 and 2 in the domain. D) No; for each element of the domain, there is not only one element of the range. Copyright © 2024, McGraw-Hill Education. 10/14 This content was printed for the exclusive use of licensed students. Student Name: Date: Revision sheets math Grade 8 42) Determine whether the relation is a function. Explain. A) Yes; for each element of the domain, there is only one element of the range. B) Yes; for each element of the range, there is only one element of the domain. C) No; for each element of the range, there is only one element of the domain. D) No; the element 4 in the domain is paired with both 2 and 5 in the range. 43) Determine whether the relation is a function. Explain. x y 4 –5 –1 –10 0 –9 1 –7 9 1 A) Yes; for each element of the domain, there is only one element of the range. B) Yes; for each element of the range, there is only one element of the domain. C) No; the element 1 is in both the domain and the range. D) No; for each element of the domain, there is not only one element of the range. Copyright © 2024, McGraw-Hill Education. 11/14 This content was printed for the exclusive use of licensed students. Student Name: Date: Revision sheets math Grade 8 44) Determine whether the relation is a function. Explain. x y 2 7 5 –3 3 5 –4 –2 5 2 A) Yes; for each element of the domain, there is only one element of the range. B) Yes; for each element of the range, there is only one element of the domain. C) No; the element 5 in the domain is paired with both –3 and 2 in the range. D) No; the elements 5 and 2 are in both the domain and the range. 45) Determine whether the relation is a function. Explain. {(2, 5),(4, −2),(3, 3),(5, 4),(−2, 5)} A) Yes; for each element of the domain, there is only one element of the range. B) Yes; for each element of the range, there is only one element of the domain. C) No; the elements –2, 3, 4, and 5 are in both the domain and the range. D) No; the element 5 occurs twice in the range. 46) Determine whether the relation is a function. Explain. {(6, −1),(−4, 2),(5, 2),(4, 6),(6, 5)} A) Yes; for each element of the domain, there is only one element of the range. B) Yes; for each element of the range, there is only one element of the domain. C) No; the element 6 in the domain is paired with both –1 and 5 in the range. D) No; the elements 5 and 6 are in both the domain and the range. Copyright © 2024, McGraw-Hill Education. 12/14 This content was printed for the exclusive use of licensed students. Student Name: Date: Revision sheets math Grade 8 47) Determine whether the relation is a function. y = 2x − 5 A) Yes; for some values of x, the vertical line passes through more than one point on the graph. B) Yes; for any value x, the vertical line passes through no more than one point on the graph. C) No; for some values of x, the vertical line passes through more than one point on the graph. D) No; for any value x, the vertical line passes through no more than one point on the graph. 48) Determine whether the relation is function. Explain. A) Yes; for any value x, the vertical line passes through no more than one point on the graph. B) Yes; for any value of y, the vertical line passes through no more than one point on the graph. C) No; for y = 1 and y = 2 the horizontal lines pass through more than one point on the graph. D) No; for x = 2 the vertical line passes through more than one point on the graph. Copyright © 2024, McGraw-Hill Education. 13/14 This content was printed for the exclusive use of licensed students. Student Name: Date: Revision sheets math Grade 8 49) Determine whether the relation is a function. Explain. A) Yes; for any value x, the vertical line passes through no more than one point on the graph. B) Yes; for any value y, the horizontal line passes through no more than one point on the graph. C) No; for x > 0 the vertical line passes through more than one point on the graph. D) No; for x < 0 the graph does not exist. 50) If f (x) = 3x + 2 and g(x) = x2 − x, find the value. f (4) = 51) If f (x) = 3x + 2 and g (x) = x 2 − x, find the value. f (8) = 52) If f (x) = 3x + 2 and g (x) = x 2 − x, find the value. g(−3) = 53) If f (x) = 3x + 2 and g (x) = x 2 − x, find the value. f (1) − 1 = 54) If f (x) = 3x + 2 and g (x) = x 2 − x, find the value. g(2) − 2 = Copyright © 2024, McGraw-Hill Education. 14/14 This content was printed for the exclusive use of licensed students.