CFU 11/22

Front

Solve for x: 4x + 1 = 7x - 5

Back

x = 2

Front

Find the slope of the line given by the points (1, 2) and (3, 4)

Back

Slope = (y2 - y1) / (x2 - x1) = (4 - 2) / (3 - 1) = 1

Front

Find the slope of the line represented by the equation y = -3/2x + 1

Back

Slope = -3/2

Front

Solve for x: 2(3x + 4) + 2 = 4 + 3x

Back

x = -2

Front

Identify the growth factor (b-value) of the function f(x)=2(4)^x.

Back

b = 4

Front

What is the formula for the slope of a line?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

How do you isolate x in the equation 4x + 1 = 7x - 5?

Back

Subtract 4x from both sides: 1 = 3x - 5, then add 5 to both sides: 6 = 3x, finally divide by 3: x = 2.