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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

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: in Class

Problem Id	Problem	Options
1	The final value, v, in a four-digit lock code is determined by multiplying the second value by 2, subtracting that expression from the first value, and dividing the resulting expression by half of the third value. If the second value is 1, what is v in terms of the first value,f, and the third value, t?	A) \$(f-2)/t\$ B) \$(2f-4)/t\$ C) \$t/(2f-4)\$ D) \$(2t-4)/f\$
2	\$s = (c - (1/4)i) / (c + 1)\$ A student’s score, S, is determined by the given formula, where C represents the number of correct answers and I represents the number of incorrect answers. Which of the following expresses / in terms of C and S?	A) \$s = (c(1 - 4s)) / (4s + 1)\$ B) \$s = (4c(1 - s)) / (4s + 1)\$ C) \$s = (c(1 + 4s)) / (4s - 1)\$ D) \$s = (4c(1 + s)) / (4s - 1)\$
3	If b > 0 in the equation of a line written in the form y = mx + b, which of the following best describes how reversing the sign of b will affect the graph?	A) The new line will be shifted down b units. B) The new line will be a perfect reflection across the x-axis. C) The new line will be a perfect reflection across the y-axis. D) The new line will be shifted down 2b units.
4	-7 + 2f = pg and 21g + 21 = 6f - 15g, If p is constant, and the system of equations shown above has infinitely many solutions, What is the value of p?	A) 14 B) 10 C) 8 D) 12
5	5G + 45R = 380 At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won G green tokens and R red tokens worth a total of 380 points. The given equation represents this situation. How many more points is a red token worth than a green token?	A) 45 B) 35 C) 40 D) 50
6	The table gives the coordinates of two points on a line in the xy-plane. The y-intercept of the line is (k - 5, b) where k and b are constants. What is the value of b? $6$	A) - 33 B) 30 C) 33 D) - 30
7	If 3a + 2b = 17 and 5a - 4b = 21, what is the value of b?	A) 1 B) 5 C) 2 D) 4
8	- 2x = 4y + 6 and \$2(2y+ 3) = 3x - 5\$, What is the solution (x, y) to the given system of equations?	A) (1, - 2) B) (1, 1) C) (- 2, - 2) D) (0, 1)
9	s = - 1.5 and \$s = m^2 + 8m + a\$, a is a positive constant in the given system of equations. The system has exactly one distinct real solution. What is the value of a?	A) 13.5 B) 14.5 C) 16.4 D) 15.4
10	4x + 2y = 4 and 19x + 10y = 14 when graphed in the xy-plane , the linear equations shown above intersect at (a, b). What is the value of a?	A) - 20 B) 6 C) - 10 D) 14

Problem Id

Problem

Options

The final value, v, in a four-digit lock code is determined by multiplying the second value by 2, subtracting that expression from the first value, and dividing the resulting expression by half of the third value. If the second value is 1, what is v in terms of the first value,f, and the third value, t?

A) \$(f-2)/t\$

B) \$(2f-4)/t\$

C) \$t/(2f-4)\$

D) \$(2t-4)/f\$

\$s = (c - (1/4)i) / (c + 1)\$
A student’s score, S, is determined by the given formula, where C represents the number of correct answers and I represents the number of incorrect answers. Which of the following expresses / in terms of C and S?

A) \$s = (c(1 - 4s)) / (4s + 1)\$

B) \$s = (4c(1 - s)) / (4s + 1)\$

C) \$s = (c(1 + 4s)) / (4s - 1)\$

D) \$s = (4c(1 + s)) / (4s - 1)\$

If b > 0 in the equation of a line written in the form y = mx + b, which of the following best describes how reversing the sign of b will affect the graph?

A) The new line will be shifted down b units.

B) The new line will be a perfect reflection across the x-axis.

C) The new line will be a perfect reflection across the y-axis.

D) The new line will be shifted down 2b units.

-7 + 2f = pg and 21g + 21 = 6f - 15g, If p is constant, and the system of equations shown above has infinitely many solutions, What is the value of p?

A) 14

B) 10

C) 8

D) 12

5G + 45R = 380
At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won G green tokens and R red tokens worth a total of 380 points. The given equation represents this situation. How many more points is a red token worth than a green token?

A) 45

B) 35

C) 40

D) 50

The table gives the coordinates of two points on a line in the xy-plane. The y-intercept of the line is (k - 5, b) where k and b are constants. What is the value of b?

$6$

A) - 33

B) 30

C) 33

D) - 30

If 3a + 2b = 17 and 5a - 4b = 21, what is the value of b?

A) 1

B) 5

C) 2

D) 4

- 2x = 4y + 6 and \$2(2y+ 3) = 3x - 5\$, What is the solution (x, y) to the given system of equations?

A) (1, - 2)

B) (1, 1)

C) (- 2, - 2)

D) (0, 1)

s = - 1.5 and \$s = m^2 + 8m + a\$, a is a positive constant in the given system of equations. The system has exactly one distinct real solution. What is the value of a?

A) 13.5

B) 14.5

C) 16.4

D) 15.4

4x + 2y = 4 and 19x + 10y = 14 when graphed in the xy-plane , the linear equations shown above intersect at (a, b). What is the value of a?

A) - 20

B) 6

C) - 10

D) 14