Alg. 2 wT 1st Sem. Rev. Ch. 1, 2 2020

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

What transformation occurs when the equation y = |x| is changed to y = |x + 2| - 5?

Back

The graph shifts left 2 units and down 5 units.

Front

How do you solve the equation 2x - 3 = 45 - 2(3x + 4)?

Back

First, simplify the right side: 2x - 3 = 45 - 6x - 8. Then combine like terms and solve for x.

Front

What is the value of g(-4) if g(x) = 3 - x?

Back

g(-4) = 3 - (-4) = 3 + 4 = 7.

Front

What is the value of f(1) if f(x) = -4x - 5?

Back

f(1) = -4(1) - 5 = -4 - 5 = -9.

Front

How do you evaluate the expression -3|2x - 5y| when x = -4 and y = -1?

Back

Substitute x and y: -3|2(-4) - 5(-1)| = -3|-8 + 5| = -3|-3| = -3(3) = -9.

Front

What is the process to find the solution of a linear equation?

Back

Isolate the variable on one side of the equation using inverse operations.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form y = mx + b.