Math 10 Ch 9 TR BLMs



Section 9.2 Extra Practice

1. Solve using elimination.

a) x + y = 4

x – y = 10

b) 4x – 5y = –28

4x – y = 4

c) 5x – 3y – 2 = 0

–4x + 3y – 2 = 0

2. Solve using elimination.

a) 5 = 6x + 2y

2y = x + 5

b) y + 6 = x

y = –3x + 2

c) 8y = 2x + 8

8y – 3x – 4 = 0

3. Solve the following systems of equations by elimination. Verify your answers.

a) 2x + y = 15

5x – 6y = –22

b) 2x – 15y = 7

x – 6y = 4

c) 3x + 2y = 0

8x + 7y = 5

4. Solve using the elimination method.

a) [pic]x –[pic]y = –4

x + 7y = 12

b) 8x + y = 2

3x + [pic]y = 0

c) [pic]x + [pic]y = 1

[pic]x + [pic]y = –5

5. Solve using the elimination method.

a) –3(y – x) = 14 – 4y

2x + 26 = 4(x + y)

b) 2(x + y) = –2 – 4x

14x + 27 = 3x + y

c) y – 2 = 5(x + 2)

y + 2 = 3(x + 4)

6. Solve, if possible, by elimination.

a) 3x – y = –5

6x – 2y = 0

b) 2x – 4y = 6

x – 2y = 3

c) x + y + 12 = 0

3y = –3x + 12

7. The difference of two numbers is 18. Their sum is 42. Determine the numbers.

8. A motorboat travels 4 km downstream

in 0.5 h, and travels the same distance upstream in 2 h. Determine the speed of the boat in still water.

9. Max invested $15 000 in two different funds. One earned 6% interest in the first year and the other earned 8%, for a total of $1100 in interest. Determine how much he invested in each fund.

10. The perimeter of a rectangle is 76 m. The width is doubled and the length is halved. The new rectangle has a perimeter of 62 m. Determine the dimensions of the original rectangle.

Section 9.2 Extra Practice

1. a) x = 7 and y = –3 b) x = 3 and y = 8

c) x = 4 and y = 6

2. a) x = 0 and y = [pic] b) x = 2 and y = –4

c) x = 4 and y = 2

3. a) x = 4 and y = 7 b) x = 6 and y = [pic]

c) x = –2 and y = 3

4. a) x = –2 and y = 2 b) x = –[pic]and y = 6

c) x = 9 and y = –6

5. a) x = 3 and y = 5 b) x = –2 and y = 5

c) x = –1 and y = 7

6. a) no solution b) infinite number of solutions

c) no solution

7. 12 and 30 8. 5 km/h

9. $5000 at 6% and $10 000 at 8%

10. length = 30 m and width = 8 m

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