Quiz Discussion

Title: Linear Equations with Two Variables

Grade: 1400-a Lesson: S1-L2

Explanation: Let us discuss a few questions on this topic and review the answers to every question.

Quiz: Discussion in Class

Problem Id Problem Options

Steps 1

A machine makes large or small boxes, one at a time, for 700 minutes each day. It takes the machine 10 minutes to make a large box or 5 minutes to make a small box. Which equation represents the possible number of large, x, and small, y boxes the machine can make each day?

A) ( x + y )( 10 + 5 ) = 700

B) 5x + 10y = 700

C) ( 10 + x )( 5 + y ) = 700

D) 10x + 5y = 700

Steps 2

Solve the following system of equations:
11x + 9y = 18 and 8x - 12y = 10

A) \$x = 2/3\$ and \$y = 5/6\$

B) \$x = 3/2\$ and \$y = 1/6\$

C) \$x = 2/3\$ and \$y = - 5/6\$

D) \$x = - 3/2\$ and \$y = 1/6\$

Steps 3

A teacher is grading two assignments that each had to be a specific length: research papers and short stories. Each research paper has 5 more pages than each short story. How many pages are in a research paper if 7 research papers and 5 short stories have a total of 275 pages?

A) 22

B) 25

C) 26

D) 20

Steps 4

If 3x + 2y = 15 and x + y= 10, what is the value of y?

A) 15

B) - 15

C) 5

D) - 5

Steps 5

Find the values of x and y that make both equations true:
3x - 2y = 1 and 4x + y = 5.

A) \$x = 29/14\$ and \$y = 9/7\$

B) \$x = 29/7\$ and \$y = 9/14\$

C) \$x = 28/14\$ and \$y = 8/7\$

D) \$x = 28/7\$ and \$y = 9/14\$


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