Solving Linear Equations

Front

Solve 4n - 2n = 4.

Back

n = 2

Front

What is the range of the graph of the function f(x) = 2x - 2?

Back

[-2, ∞)

Front

What is f(−4) for the function f(x) = 2x + 3?

Back

f(−4) = -5

Front

Find (g∘h)(x) for g(x)=3x+4 and h(x)=3x-1.

Back

(g∘h)(x) = 9x + 1

Front

Find the common difference of the arithmetic sequence 14, 20, 26, ...

Back

The common difference is 6.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does 'm' represent in the slope-intercept form of a linear equation?

Back

The slope of the line.

Front

What does 'b' represent in the slope-intercept form of a linear equation?

Back

The y-intercept of the line.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the solution to the equation 3x + 5 = 14?

Back

x = 3.