Quiz In Class

Title: System of Linear Equations with no Solutions

Grade: 10-a Lesson: S1-L8

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id Problem Options

1

If there is no solution to the linear equation system
- 8x + 3y = - 7, 5x + jy = 12, then find the value of j.

A) \$j = 3\$

B) \$ j = - 8/5 \$

C) \$ j = - 15/8 \$

D) \$j = 7\$

2

If there is no solution to the linear equation system
-(-4s) = 9m - 2, 13 = - 3s - mz then find the value of z.

A) \$z = - 9/2\$

B) \$ z = - 4/27\$

C) \$ z = - 2/9\$

D) \$ z = - 27/4\$

3

Find the value of a and b :
\$- 3a - 12b = 24\$ and \$4a + 15 = - (4 \times (4b)) \$

A) Infinitely many solutions

B) No solution

C) Unique solution

D) None of these above

4

Solve the following system of equations:
4p − 3r = 7, 8p − 6r = 14

A) Infinitely many solutions

B) No solution

C) Unique solution

D) None of these above

5

If there is no solution to the linear equation system
gx - 3y + 11 = 0, 5x + 2(7y) = 21, then find the value of g.

A) \$ g = - 15/14\$

B) \$ g = 11/21\$

C) g = 5

D)g = 15

6

If there is no solution to the linear equation system
5q + ar = 16, 10q + 13r = 18, then find the value of a.

A) a = - 6.5

B) a = 6.5

C) a = 5.6

D) a = - 5.6

7

Find the value of c and d:
- 22c - 16d = 14 and 44 c + 13 = 32d

A) (c = 0.265 ) and (d = - 0.904 )

B) (c = - 0.465 ) and (d = - 0.234)

C) (c = - 0.565 ) and (d = 0.704 )

D) (c = 0.765 ) and (d = 0.604 )

8

If there is no solution to the linear equation system
\$- 7m - pn = - 4\$, \$ (3 \ times 3 )m- 5n = 23 \$, then find the value of p.

A) \$ 9/(35)\$

B) \$- (35)/19\$

C) \$- 35/9 \$

D) \$(35)/9\$

9

Find the value of j and k:
24j + 2k = 13 and 12 j + k = 16

A) Infinitely many solutions

B) Unique solution

C) No solution

D) None of these above

10

If there is no solution to the linear equation system
\$(-9 /2)x = 14 - 6y\$, \$3x = 17 + ky\$, then find the value of k.

A) \$k = - 3/4\$

B) \$k = 2\$

C) \$k = 1/2\$

D) \$k = 4\$


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