Linear Equations Challenge

Solve for x: 2x + 5 = 17

• x = 6

• x = 10

• x = 8

• x = 12

Identify the slope and y-intercept of the equation y = 3x + 2

• Slope: 4, Y-intercept: 1

• Slope: 3, Y-intercept: 2

• Slope: 1, Y-intercept: 5

• Slope: 2, Y-intercept: 3

Graph the equation y = -2x + 4

• The graph of the equation y = -2x + 4 is a circle

• The graph of the equation y = -2x + 4 is a hyperbola

• The graph of the equation y = -2x + 4 is a straight line passing through the points (0, 4) and (1, 2).

• The graph of the equation y = -2x + 4 is a parabola

Solve the system of equations: 3x + 2y = 8 and 2x - y = 3

• x = 3, y = 2

• x = 1, y = 0

• x = 4, y = 3

• x = 2, y = 1

Interpret the solution of the system in context: x = 2, y = 1

• The solution x = 2, y = 1 represents the point (1, 2)

• The solution of the system x = 2, y = 1 represents the point (2, 1) in the coordinate plane.

• The solution x = 2, y = 1 indicates a negative slope

• The solution x = 2, y = 1 is invalid

Solve for x: 4x - 7 = 5

• x = 3

• x = 6

• x = 2

• x = 4

Identify the slope and y-intercept of the equation y = -0.5x + 3

• Slope: -0.5, Y-intercept: 3

• Slope: 1, Y-intercept: 3

• Slope: 0.5, Y-intercept: -3

• Slope: -3, Y-intercept: 0.5

Graph the equation y = 2x - 1

• The graph of the equation y = 2x - 1 is a straight line passing through the points (0, -1) and (1, 1).

• The graph of the equation y = 2x - 1 is a circle

• The graph of the equation y = 2x - 1 is a parabola

• The graph of the equation y = 2x - 1 is a hyperbola

Solve the system of equations: 5x + 3y = 11 and x - 2y = -3

• x = 0, y = -3

• x = 2, y = 1

• x = 3, y = 2

• x = -1, y = 4

Interpret the solution of the system in context: x = 1, y = 2

• The values of x and y are x = 2 and y = 1 respectively.

• x = 1, y = 1

• x = 2, y = 2

• The values of x and y are x = 1 and y = 2 respectively.