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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: System of Linear Equations with Infinite Solutions

Grade: 10-a Lesson: S1-L7

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: at Home

Problem Id	Problem	Options
1	In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of a + b: 8x - 6y = 5 and ax + by = 10	A) 4 B) 28 C) 192 D) \$ 4/3\$
2	In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of ab: by = - ax - 30 and 3x = - 4y - 6	A) 35 B) 300 C) 5 D) 250
3	In the system of equations above, g and h are constants. If the system has infinitely many solutions, what is the value of \$g/h\$: 9x = - 9y + 36 and hy = - gx - 4	A) 77 B) -18 C) 1 D) 0
4	In the system of equations above, p and q are constants. If the system has infinitely many solutions, what is the value of q - p: - x + 7y = - 2 and px + qy = 26	A) 1183 B) \$ 1/7\$ C) 7 D) -104
5	In the system of equations above, r and s are constants. If the system has infinitely many solutions, what is the value of rs: - 5x - 3y - 7 = 0 and - rx - sy - 70 = 0	A) -1450 B) 1120 C) 80 D) 1500
6	In the system of equations above, m and n are constants. If the system has infinitely many solutions, what is the value of \$m/n\$: 10x + 6y = 8 and ny = - mx + 2	A) 1 B) 4 C) \$ 5/3\$ D) \$ 15/4 \$
7	Show that the following system of equations has an infinite solution: 4x = - 9y + 3 and 81y + 36 x = 27	A) \$ 1/3 ne 1/9 ne 1/6 \$ B) \$ 1/9 = 1/9 = 1/9 \$ C) \$ 1/3 = 1/3 ne 1/9 \$ D) \$ 1/3 ne 1/9 = 1/9 \$
8	Solve the following system of equations: -7x = 12y + 15 and 14x + 24 y = -30 .	A) Infinitely many solutions B) x = 2, y = 1 C) x = 1, y = 1 D) x = 3, y = 0
9	Solve the following system of equations: 9x = -18y + 51 and 12y = - 6x + 34	A) x = 5, y = 1 B) Infinitely many solutions C) x = - 2, y = 3 D) x = 0, y = - 1
10	Show that the following system of equations has an infinite solution: 20x = -28y + 52 and 21y = -15 x + 39	A) \$ (a_1)/(a_2) ne (b_1)/(b_2) = (c_1)/(c_2) \$ B) \$ (a_1)/(a_2) ne (b_1)/(b_2) ne (c_1)/(c_2) \$ C) \$ (a_1)/(a_2) = (b_1)/(b_2) = (c_1)/(c_2) \$ D) \$ (a_1)/(a_2) = (b_1)/(b_2) ne (c_1)/(c_2) \$

Problem Id

Problem

Options

In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of a + b:
8x - 6y = 5 and ax + by = 10

A) 4

B) 28

C) 192

D) \$ 4/3\$

In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of ab:
by = - ax - 30 and 3x = - 4y - 6

A) 35

B) 300

C) 5

D) 250

In the system of equations above, g and h are constants. If the system has infinitely many solutions, what is the value of \$g/h\$:
9x = - 9y + 36 and hy = - gx - 4

A) 77

B) -18

C) 1

D) 0

In the system of equations above, p and q are constants. If the system has infinitely many solutions, what is the value of q - p:
- x + 7y = - 2 and px + qy = 26

A) 1183

B) \$ 1/7\$

C) 7

D) -104

In the system of equations above, r and s are constants. If the system has infinitely many solutions, what is the value of rs:
- 5x - 3y - 7 = 0 and - rx - sy - 70 = 0

A) -1450

B) 1120

C) 80

D) 1500

In the system of equations above, m and n are constants. If the system has infinitely many solutions, what is the value of \$m/n\$:
10x + 6y = 8 and ny = - mx + 2

A) 1

B) 4

C) \$ 5/3\$

D) \$ 15/4 \$

Show that the following system of equations has an infinite solution:
4x = - 9y + 3 and 81y + 36 x = 27

A) \$ 1/3 ne 1/9 ne 1/6 \$

B) \$ 1/9 = 1/9 = 1/9 \$

C) \$ 1/3 = 1/3 ne 1/9 \$

D) \$ 1/3 ne 1/9 = 1/9 \$

Solve the following system of equations:
-7x = 12y + 15 and 14x + 24 y = -30 .

A) Infinitely many solutions

B) x = 2, y = 1

C) x = 1, y = 1

D) x = 3, y = 0

Solve the following system of equations:
9x = -18y + 51 and 12y = - 6x + 34

A) x = 5, y = 1

B) Infinitely many solutions

C) x = - 2, y = 3

D) x = 0, y = - 1

Show that the following system of equations has an infinite solution:
20x = -28y + 52 and 21y = -15 x + 39

A) \$ (a_1)/(a_2) ne (b_1)/(b_2) = (c_1)/(c_2) \$

B) \$ (a_1)/(a_2) ne (b_1)/(b_2) ne (c_1)/(c_2) \$

C) \$ (a_1)/(a_2) = (b_1)/(b_2) = (c_1)/(c_2) \$

D) \$ (a_1)/(a_2) = (b_1)/(b_2) ne (c_1)/(c_2) \$