U5 - Warm Up #5

Front

What is the solution to the system of equations represented by (0, 3), (1, -1), (-3, 1), (1, 3)?

Back

(1, 3)

Front

A system has ____________ when two equations have the same slope but different y-intercepts and are parallel.

Back

No solution

Front

Which is the correct substitution for the system of equations? 2x - 10 = -4x + 8, 2(-4x + 8) - 10 = 8, -4(2x - 10) = 8, -4x + 8 + 2x = 10

Back

2x - 10 = -4x + 8

Front

Which is the correct substitution for the system of equations? 4(2x-5) = y, y = 4(2x - 5), 2(4x - 1) = 10, 2x - 5 = 4x - 1

Back

2x - 5 = 4x - 1

Front

Which is the correct substitution for this system? 2(3x - 3) = 19, 2x + 5y (3x) = 19, 2x + 5(3x-3) = 19, 2(3x) - 3 + 5y = 19

Back

2x + 5(3x-3) = 19

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The lines coincide, meaning they are the same line.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines that never intersect.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).