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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: System of Linear Equations with no Solutions

Grade: 1400-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	\$3/2 y - 1/4 x = 2/3 - 3/2y\$ \$1/2 x + 3/2 = py + 9/2\$ In the given system of equations, p is a constant. If the system has no solution, what is the value of p?	A) 2 B) 4 C) 6 D) 1
2	If c is a constant in the equation \$10x^2 + c = - 5x\$, and the equation has no real solutions, what is the value of c?	A) -20 B) -5 C) 0 D) 1
3	You are at an amusement park, and you buy two types of tickets: adult tickets and child tickets. An adult ticket costs $30, and a child ticket costs $20. You spend $180 on a total of 7 tickets. You want to determine how many adult and child tickets you bought, but the cashier’s records show that another customer spent $190 on the same number of tickets. Can this be possible?	A) 1 B) No solutions C) 0 D) Many solutions
4	One of the two equations in a linear system is 2x + 6y = 10. The system has no solution. Which of the following could be the other equation in the system.	A) x + 3y = -20 B) 6x + 2y = 10 C) 6x - 2y = 0 D) x + 3y = 5
5	Sarah and Tom are trying to determine how much money they each have. Sarah tells Tom, "If you double my money and subtract $10, you get the same amount as if you triple your money and add $5." Tom replies, "If you add $20 to my money and double it, you get the same amount as if you subtract $5 from your money and triple it." Determine how much money each person has.	A) Sarah = $27 and Tom = $13 B) Sarah = $13 and Tom = $13 C) Sarah = $13 and Tom = $27 D) Sarah = $27 and Tom = $27
6	kx - 3y = 4 4x - 5y = 7 In the given system of equations, k is a constant and x and y are variables. For what value of k will the system of equations have no solution?	A) \$16/7\$ B) \$12/5\$ C) \$- 7/16\$ D) \$- 5/12\$
7	y = 2x + 1 y = ax - 8 In the system of equations above, a is a constant. If the system of equations has no solution, what is the value of a?	A) 1 B) 2 C) 0 D) 3
8	Suppose you have a collection of coins that totals $5.80. You have a combination of quarters (25 cents each) and dimes (10 cents each), and you know there are a total of 32 coins. Formulate a system of equations to find out how many quarters and dimes you have.	A) d = 17.34 and q = 14.66 B) d = 17.34 and q = 14.34 C) d = 14.66 and q = 17.34 D) d = 17.66 and q = 14.66
9	4x - 9y = 9y + 5 hy = 2 + 4x In the given system of equations, h is a constant. If the system has no solution, what is the value of h?	A) 9 B) 0 C) 18 D) -9
10	The two linear equations sx - 5y = 2 and 6x + 2y = 7, which have no solution, and we have to find the value of s which is the coefficient of x?	A) -30 B) 15 C) 30 D) -15

Problem Id

Problem

Options

\$3/2 y - 1/4 x = 2/3 - 3/2y\$

\$1/2 x + 3/2 = py + 9/2\$
In the given system of equations, p is a constant. If the system has no solution, what is the value of p?

A) 2

B) 4

C) 6

D) 1

If c is a constant in the equation \$10x^2 + c = - 5x\$, and the equation has no real solutions, what is the value of c?

A) -20

B) -5

C) 0

D) 1

You are at an amusement park, and you buy two types of tickets: adult tickets and child tickets. An adult ticket costs $30, and a child ticket costs $20. You spend $180 on a total of 7 tickets. You want to determine how many adult and child tickets you bought, but the cashier’s records show that another customer spent $190 on the same number of tickets. Can this be possible?

A) 1

B) No solutions

C) 0

D) Many solutions

One of the two equations in a linear system is 2x + 6y = 10. The system has no solution. Which of the following could be the other equation in the system.

A) x + 3y = -20

B) 6x + 2y = 10

C) 6x - 2y = 0

D) x + 3y = 5

Sarah and Tom are trying to determine how much money they each have. Sarah tells Tom, "If you double my money and subtract $10, you get the same amount as if you triple your money and add $5." Tom replies, "If you add $20 to my money and double it, you get the same amount as if you subtract $5 from your money and triple it." Determine how much money each person has.

A) Sarah = $27 and Tom = $13

B) Sarah = $13 and Tom = $13

C) Sarah = $13 and Tom = $27

D) Sarah = $27 and Tom = $27

kx - 3y = 4
4x - 5y = 7
In the given system of equations, k is a constant and x and y are variables. For what value of k will the system of equations have no solution?

A) \$16/7\$

B) \$12/5\$

C) \$- 7/16\$

D) \$- 5/12\$

y = 2x + 1
y = ax - 8
In the system of equations above, a is a constant. If the system of equations has no solution, what is the value of a?

A) 1

B) 2

C) 0

D) 3

Suppose you have a collection of coins that totals $5.80. You have a combination of quarters (25 cents each) and dimes (10 cents each), and you know there are a total of 32 coins. Formulate a system of equations to find out how many quarters and dimes you have.

A) d = 17.34 and q = 14.66

B) d = 17.34 and q = 14.34

C) d = 14.66 and q = 17.34

D) d = 17.66 and q = 14.66

4x - 9y = 9y + 5
hy = 2 + 4x
In the given system of equations, h is a constant. If the system has no solution, what is the value of h?

A) 9

B) 0

C) 18

D) -9

The two linear equations sx - 5y = 2 and 6x + 2y = 7, which have no solution, and we have to find the value of s which is the coefficient of x?

A) -30

B) 15

C) 30

D) -15