SaiBook.us SAT-2

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

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: in Class

Problem Id	Problem	Options
1	Solve the following system of equations: \$ 2x − y = 3 \$ , \$ 4x − 2y = 6 \$	A) Infinitely many solutions B) x = 2, y = 1 C) x = 1, y = 1 D) x = 3, y = 0
2	Find the values of a and b for which the following system has infinitely many solutions: \$ 3x + ay = 7 \$ , \$ 6x + by = 14 \$	A) a = 2, b = 3 B) a = 1, b = 2 C) a = 5, b = 6 D) a = 3, b = 5
3	Show that the following system of equations has an infinite solution: 3x = 5 + vy and 6x - 10 = sy.	A) v = 2s B) s = 92, v = 56 C) 2v = s D) s = 32, v = 12
4	solve the following system of equations -5x + 6y = 9 and 18y = 15x + 36 .	A) Infinite solutions B) Unique solution C) Inconsistent system D) No solution
5	Solve the following system of equations: 3x + 4y = 7 , 6x - 2y = 10	A) x = \$1/5\$ and y = \$ 1\$ B) x = \$2/5\$ and y = \$ 8/5\$ C) x = \$1/25\$ and y = \$ -8/5\$ D) x = \$9/5\$ and y = \$ 2/5\$
6	Find the values of e and d for which the following system has infinitely many solutions: 2x - ey = 5 , 4x - dy = 10	A) d = e + 2 B) d = 3e C) d = 2e D) d = e - 1
7	Solve the following system of equations: 3x - 2y = 4 , 2x + y = 5	A) x = 2 and y = 2 B) x = 2 and y = 1 C) x = 0 and y = 16 D) x = 2 and y = 0
8	Solve the following system of equations: 7y = - 28x - 56 and 4x + y - 8 = 0	A) Infinite solutions B) Unique solution C) Inconsistent system D) No solution
9	Show that the following system of equations has an infinite solution: -qx - 3y = -5 and rx + 33y = 55.	A) \$ q = - (3) \$, r = 33 B) q = 1, r = 11 C) \$ q = -(11/3) \$, r = 3 D) q = 1, r = 1
10	In the system of equations above, d and g are constants. If the system has infinitely many solutions, what is the value of \$d/g\$: 10x + 14y = 4 and gy = - dx + 2	A) \$ -5 / 2 \$ B) \$ -7 / 5 \$ C) \$ -5 / 7 \$ D) \$ 5 / 7 \$

Problem Id

Problem

Options

Solve the following system of equations:
\$ 2x − y = 3 \$ , \$ 4x − 2y = 6 \$

A) Infinitely many solutions

B) x = 2, y = 1

C) x = 1, y = 1

D) x = 3, y = 0

Find the values of a and b for which the following system has infinitely many solutions:
\$ 3x + ay = 7 \$ , \$ 6x + by = 14 \$

A) a = 2, b = 3

B) a = 1, b = 2

C) a = 5, b = 6

D) a = 3, b = 5

Show that the following system of equations has an infinite solution:
3x = 5 + vy and 6x - 10 = sy.

A) v = 2s

B) s = 92, v = 56

C) 2v = s

D) s = 32, v = 12

solve the following system of equations
-5x + 6y = 9 and 18y = 15x + 36 .

A) Infinite solutions

B) Unique solution

C) Inconsistent system

D) No solution

Solve the following system of equations:
3x + 4y = 7 , 6x - 2y = 10

A) x = \$1/5\$ and y = \$ 1\$

B) x = \$2/5\$ and y = \$ 8/5\$

C) x = \$1/25\$ and y = \$ -8/5\$

D) x = \$9/5\$ and y = \$ 2/5\$

Find the values of e and d for which the following system has infinitely many solutions:
2x - ey = 5 , 4x - dy = 10

A) d = e + 2

B) d = 3e

C) d = 2e

D) d = e - 1

Solve the following system of equations:
3x - 2y = 4 , 2x + y = 5

A) x = 2 and y = 2

B) x = 2 and y = 1

C) x = 0 and y = 16

D) x = 2 and y = 0

Solve the following system of equations:
7y = - 28x - 56 and 4x + y - 8 = 0

A) Infinite solutions

B) Unique solution

C) Inconsistent system

D) No solution

Show that the following system of equations has an infinite solution:
-qx - 3y = -5 and rx + 33y = 55.

A) \$ q = - (3) \$, r = 33

B) q = 1, r = 11

C) \$ q = -(11/3) \$, r = 3

D) q = 1, r = 1

In the system of equations above, d and g are constants. If the system has infinitely many solutions, what is the value of \$d/g\$:
10x + 14y = 4 and gy = - dx + 2

A) \$ -5 / 2 \$

B) \$ -7 / 5 \$

C) \$ -5 / 7 \$

D) \$ 5 / 7 \$