Algebra 1 IM Unit 2 Review (English version)

Front

What is the SLOPE INTERCEPT form of a linear equation?

Back

The SLOPE INTERCEPT form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

Identify the SLOPE INTERCEPT form from the following options: y = 1/2x + 2, y - 3 = -5(x + 2), -7x + 2y = 9, 3x + 2 = y

Back

y = 1/2x + 2

Front

What does it mean if a system of equations has no solutions?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

How do you represent an inequality graphically when using the symbols < or >?

Back

You use a dotted line to indicate that the points on the line are not included in the solution.

Front

Write an inequality that corresponds to the graph showing all values less than 5.

Back

x < 5

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 and solve for x.

Front

Find the x-intercept of the equation 3x + 8y = 24.

Back

(8, 0)

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the difference between a solid line and a dotted line when graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (≤ or ≥), while a dotted line indicates they are not included (< or >).