Linear Equations: Master the Basics with Interactive Quizzes

Question 1

Solve the system of equations: x + y = 5, x - y = 1

Accepted Answer

x = 2, y = 3

Answer

x = 3, y = 2

Answer

x = 4, y = 1

Answer

x = 1, y = 4

Question 2

Identify which value is NOT a solution to the inequality: x - 2 < 4

Accepted Answer

x = 7

Answer

x = 1

Answer

x = 3

Answer

x = 5

Question 3

Determine the domain of the function f(x) = (x + 2)/(x - 1)

Accepted Answer

All real numbers except -1

Answer

All real numbers except 1

Answer

All real numbers

Answer

All positive real numbers

Question 4

Which of the following represents the equation of a straight line?

Accepted Answer

y = mx + c

Answer

y = c/x + m

Answer

x = my + c

Answer

y = x^2 + c

Question 5

Solve the linear equation: 2x + 5 = 13

Accepted Answer

x = 4

Answer

x = 5

Answer

x = 6

Answer

x = 7

Question 6

Which of the following is a linear equation in two variables?

Accepted Answer

y = 2x - 3

Answer

y = x^2 + 1

Answer

y = |x| + c

Answer

y = e^x

Question 7

Which of the following graphs represents the equation y = |x|?

Accepted Answer

U-shaped graph

Answer

V-shaped graph

Answer

Straight line

Answer

Circle

Question 8

Write the equation of the line with a gradient of -2 and a y-intercept of 3:

Accepted Answer

y = -2x + 3

Answer

y = 3x - 2

Answer

y = 2x + 3

Answer

y = -3x + 2

Question 9

Which step is NOT involved in solving linear equations graphically?

Accepted Answer

Subtracting the two equations from each other

Answer

Plotting the two equations on the same graph

Answer

Finding the point of intersection of the two lines

Answer

Substituting the x-coordinate of the intersection point into one of the equations to solve for y

Question 10

Determine the gradient of the line represented by the equation y - 2 = 3(x + 1):

Accepted Answer

3

Answer

1

Answer

2

Answer

-3

Question 11

Find the equation of the line passing through the point (3, -2) and parallel to the line y = 2x + 1:

Accepted Answer

y = 2x + 4

Answer

y = 2x - 8

Answer

y = -2x - 8

Answer

y = -2x + 4