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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Linear Equations with Two Variables

Grade: 1400-a Lesson: S1-L2

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	At a certain movie theater, there are 16 rows and each row has either 20 or 24 seats. If the total number of seats in all 16 rows is 348, how many rows have 24 seats?	A) 4 B) 7 C) 9 D) 11
2	\$ (1/2)x - (2/3)y = 7\$ \$ax - 8y = - 1\$ If this system of linear equations has no solution, and a is a constant, then what is the value of a?	A) 2 B) 6 C) - 2 D) \$- 1/2\$
3	The owner of a snack stand purchases nuts in cases of 24 bags and granola bars in cases of 20 bars. She sells nuts for $1.25 a bag and granola bars for $1.75 each. If the snack stand sold 112 items for a total of $160, how many cases of granola bars did the owner urchase?	A) 72 B) 40 C) 3 D) 2
4	If y = - x - 15 and \$(5y)/2 - 37 = - x/2\$, what is the value of 2x + 6y?	A) 26 B) 34 C) 45 D) 59
5	Restaurant A sells tacos for $2.20 and bags of chips for $1.95. Restaurant B sells tacos for $3.00 and bags of chips for $1.50. A certain purchase of tacos and chips would cost $18.55 at restaurant A or $19.50 at restaurant B. How many bags of chips are in this purchase?	A) 55 B) 42 C) 5 D) 12
6	3a + 4b = 25 A shipping company charged a customer $25 to ship some small boxes and some large boxes. The given equation represents the relationship between a, the number of small boxes, and b, the number of large boxes, the customer had shipped. If the customer had 3 small boxes shipped, how many large boxes were shipped?	A) 3 B) 5 C) 4 D) 6
7	Maizah bought pants and a briefcase at a department store The sum of the prices of the pants and the briefcase before sales tax was.$130.0Q There was no sales tax on the pants and a 9?‘ sales tax on the briefcase. The total Maizah paid, including the sales tax, was $136.75. What was the price in dollars, of the pants?	A) $55 B) $59 C) $57 D) $60
8	x - 3y = 7 3y = 9 If (x, y) is the solution to the given system of equations, what is the value of x?	A) 16 B) - 2 C) 10 D) 34
9	In the xy-plane, line l contains the points (2, 6) and (8, 10). Which of the following is an equation of line l?	A) y = 2x + 6 B) \$ y = (2/3)x + (14/3) \$ C) \$ y = (3/2)x - 2 \$ D) y = 8x + 10
10	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) \$ - 16/7 \$ D) \$ - 12/5 \$

Problem Id

Problem

Options

At a certain movie theater, there are 16 rows and each row has either 20 or 24 seats. If the total number of seats in all 16 rows is 348, how many rows have 24 seats?

A) 4

B) 7

C) 9

D) 11

\$ (1/2)x - (2/3)y = 7\$
\$ax - 8y = - 1\$
If this system of linear equations has no solution, and a is a constant, then what is the value of a?

A) 2

B) 6

C) - 2

D) \$- 1/2\$

The owner of a snack stand purchases nuts in cases of 24 bags and granola bars in cases of 20 bars. She sells nuts for $1.25 a bag and granola bars for $1.75 each. If the snack stand sold 112 items for a total of $160, how many cases of granola bars did the owner urchase?

A) 72

B) 40

C) 3

D) 2

If y = - x - 15 and \$(5y)/2 - 37 = - x/2\$, what is the value of 2x + 6y?

A) 26

B) 34

C) 45

D) 59

Restaurant A sells tacos for $2.20 and bags of chips for $1.95. Restaurant B sells tacos for $3.00 and bags of chips for $1.50. A certain purchase of tacos and chips would cost $18.55 at restaurant A or $19.50 at restaurant B. How many bags of chips are in this purchase?

A) 55

B) 42

C) 5

D) 12

3a + 4b = 25
A shipping company charged a customer $25 to ship some small boxes and some large boxes. The given equation represents the relationship between a, the number of small boxes, and b, the number of large boxes, the customer had shipped. If the customer had 3 small boxes shipped, how many large boxes were shipped?

A) 3

B) 5

C) 4

D) 6

Maizah bought pants and a briefcase at a department store The sum of the prices of the pants and the briefcase before sales tax was.$130.0Q There was no sales tax on the pants and a 9?‘ sales tax on the briefcase. The total Maizah paid, including the sales tax, was $136.75. What was the price in dollars, of the pants?

A) $55

B) $59

C) $57

D) $60

x - 3y = 7
3y = 9
If (x, y) is the solution to the given system of equations, what is the value of x?

A) 16

B) - 2

C) 10

D) 34

In the xy-plane, line l contains the points (2, 6) and (8, 10). Which of the following is an equation of line l?

A) y = 2x + 6

B) \$ y = (2/3)x + (14/3) \$

C) \$ y = (3/2)x - 2 \$

D) y = 8x + 10

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) \$ - 16/7 \$

D) \$ - 12/5 \$