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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Linear Equations with Two Variables

Grade: 1300-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	3x + y = - 3 2( x + 1 ) - 4( x + 1 ) - 6 = y If (x, y) is a solution to the given system of equations and y > 0, what is the value of y?	A) - 16 B) - 18 C) - 20 D) - 14
2	A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?	A) 7,500 B) 15,000 C) 22,500 D) 45,000
3	The number y is 84 less than the number x. Which equation represents the relationship between x and y?	A) y = x + 84 B) \$ y = (1/84)x \$ C) y = 84x D) y = x - 84
4	y = (x - 2)(x + 4) y = 6x - 12 Which ordered pair (x, y) is the solution to the given system of equations?	A) (- 4, 2) B) (0, 2) C) (2, - 4) D) (2, 0)
5	In the xy-plane, line e passes through the point (0,0) and is parallel to the line represented by the equation y = 8x + 2. If line e also passes through the point (3, d), what is the value of d?	A) 26 B) 22 C) 24 D) 28
6	A wire with a length of 106 inches is cut into two parts. One part has a length of x inches, and the other part has a length of y inches. The value of x is 6 more than times the value of y. What is the value of x?	A) 25 B) 56 C) 86 D) 28
7	The 7x + 2y = -31 graph in the xy-plane has an x-intercept at (a, 0) and a y-intercept at (0, b), where a and b are constants. What is the value of \$ b/a \$?	A) \$ 7/2 \$ B) \$ 2/7 \$ C) \$ -7/2 \$ D) \$ -2/7 \$
8	At how many points do the graphs of the equations y = x + 20 and y = 8x intersect in the xy-plane?	A) 1 B) 0 C) 2 D) 3
9	A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?	A) 30 B) 19 C) 20 D) 18s
10	x + 3 = -2y + 5 x - 3 = 2y + 7 The solution to the given system of equations is (x, y). What is the value of 2x?	A) - 2 B) 12 C) 24 D) 6

Problem Id

Problem

Options

3x + y = - 3
2( x + 1 ) - 4( x + 1 ) - 6 = y
If (x, y) is a solution to the given system of equations and y > 0, what is the value of y?

A) - 16

B) - 18

C) - 20

D) - 14

A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?

A) 7,500

B) 15,000

C) 22,500

D) 45,000

The number y is 84 less than the number x. Which equation represents the relationship between x and y?

A) y = x + 84

B) \$ y = (1/84)x \$

C) y = 84x

D) y = x - 84

y = (x - 2)(x + 4)
y = 6x - 12
Which ordered pair (x, y) is the solution to the given system of equations?

A) (- 4, 2)

B) (0, 2)

C) (2, - 4)

D) (2, 0)

In the xy-plane, line e passes through the point (0,0) and is parallel to the line represented by the equation y = 8x + 2. If line e also passes through the point (3, d), what is the value of d?

A) 26

B) 22

C) 24

D) 28

A wire with a length of 106 inches is cut into two parts. One part has a length of x inches, and the other part has a length of y inches. The value of x is 6 more than times the value of y. What is the value of x?

A) 25

B) 56

C) 86

D) 28

The 7x + 2y = -31 graph in the xy-plane has an x-intercept at (a, 0) and a y-intercept at (0, b), where a and b are constants. What is the value of \$ b/a \$?

A) \$ 7/2 \$

B) \$ 2/7 \$

C) \$ -7/2 \$

D) \$ -2/7 \$

At how many points do the graphs of the equations y = x + 20 and y = 8x intersect in the xy-plane?

A) 1

B) 0

C) 2

D) 3

A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?

A) 30

B) 19

C) 20

D) 18s

x + 3 = -2y + 5
x - 3 = 2y + 7
The solution to the given system of equations is (x, y). What is the value of 2x?

A) - 2

B) 12

C) 24

D) 6