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Home › Grade7 › Grade 7 Olympiad › Math Olympiad-Grade-7 › Algebraic Expressions › Algebra Worksheet-2

Algebra Worksheet-2

Algebra Worksheet-2

 

  1. Tosh ate twice as many strawberries as Sarah did. If Tosh ate 16 strawberries, how many strawberries did Sarah eat? Which equation that will give you the correct answer? Assume that Sarah ate n strawberries.

(a) n + 2 = 16    (b) 16 ÷ 4 = n    (c) 2n = 16         (d) n = 16 × 2

 

  1. Simplify: 3b + 7 + b – 2 – 11b.

(a) 7b – 5           (b) 8b + 5          (c) 10b – 9         (d) 5 – 7b

 

  1. Simplify: 2y + (2y)2 – 5y + 9y2

(a) 13y2  3y        (b) 9y2 – y         (c) 13y2 – 4y      (d) 9y2 – 4y

 

  1. Evaluate  for a = –3.

(a) 6                    (b) –10               (c) –3                 (d) –1

 

  1. Ricky went shopping with Rs. 2660 in his wallet. He bought one chair, one keyboard and one book. The cost of the chair was four times as much as the cost of the book and the cost of the keyboard was twice as much as the cost of the book. How much did each item cost?

(a) Book = Rs. 280, Chair = Rs. 1620, Keyboard = Rs. 660

(b) Book = Rs. 480, Chair = Rs. 1420, Keyboard = Rs. 860

(c) Book = Rs. 380, Chair = Rs. 1520, Keyboard = Rs. 760

(d) Book = Rs. 380, Chair = Rs. 1620, Keyboard = Rs. 760

 

  1. Janki works at a salon and earns Rs. 12 per hour plus tips. On Saturday, she worked for 8 hours and earned a total of Rs. 168. Which equation can be used to find t, the amount that Janki earned in tips on Saturday?

(a) t – 12 = 96                               (b) t = 168 + 96

(c) 96 + t = 168                             (d)

 

  1. Find the value of h in the following equation. 3(7 + h) = 36 – 2h

(a) 4                    (b) 5                    (c) 7                    (d) 3

 

  1. Simplify: b(3 + 2b)

(a) 3 + 2b2         (b) 3b + 2b2      (c) 3 + 2b + b   (d) 3b2 + 2b2

 

  1. Find the value of t. 

(a) 36                  (b) 12                  (c) 2.25              (d) 9

 

  1. Solve:

(a) y = 6             (b) y = 16           (c) y = 4             (d) y = 11

 

  1. Solve: 4y – 3 = 3y + 4

(a) y = 1              (b) y = –7           (c) y = –1           (d) y = 7

 

  1. Find the value of b. 9b – 2(3b – 2) = 16

(a) 6                    (b) 4                    (c) 2                    (d) –4

 

  1. Solve for x:  2x2 = 32

(a) x = 16           (b) x = 8             (c) x = 4             (d) x = 6

 

  1. Solve for y:  3(y – 9) – 6 = 9

(a) y = 10           (b) y = –10        (c) y = –14         (d) y = 14

 

  1. Find the value of y. 

(a) 3                    (b) 2                    (c) –2                 (d) –3

 

  1. Solve 4a + 2b = 26 for b.

(a)        (b) 13 –2a          (c)         (d)

 

  1. Solve the equation: 2x – 10 = 5x + 5

(a) x = –3          (b) x = 5             (c) x = –5           (d) x = –2

 

  1. Which of the following is the solution to the equation?

5y + 2y – 6y = 17 – 5 – 9

(a) 3                    (b) –3                 (c) 6                    (d) –4

 

  1. Find the value of y. 3y + 11y = 12y – 8

(a)                 (b)                 (c)                    (d) –4

 

  1. Solve the equation:

(a) –36               (b) 18                  (c) –18               (d) –9

 

Answer Key:

(1)-(c); (2)-(d); (3)-(a); (4)-(b); (5)-(c); (6)-(c); (7)-(d); (8)-(b); (9)-(a); (10)-(d); (11)-(d); (12)-(b); (13)-(c); (14)-(d); (15)-(b); (16)-(a); (17)-(c); (18)-(a); (19)-(d); (20)-(c)