Algebra 1 Semester 1 Review

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

How do you write an inequality for a situation where a number increased by 4 is no more than -18?

Back

The inequality is written as x + 4 ≤ -18.

Front

What does the slope of a line represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

Back

Multiply both sides by 5 to get x = 10.

Front

What is the solution to the inequality 7x < 49?

Back

Divide both sides by 7 to get x < 7.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line, while a linear inequality represents a region of the coordinate plane where the inequality holds true.

Front

What does it mean for a number to be 'no more than' another number in terms of inequalities?

Back

'No more than' translates to less than or equal to (≤) in inequality notation.

Front

How do you graph the inequality y ≥ -x - 1?

Back

Graph the line y = -x - 1 as a solid line and shade above the line to represent all points where y is greater than or equal to -x - 1.

Front

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

Back

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

Front

How do you determine if a point (x, y) is a solution to an inequality?

Back

Substitute the x and y values into the inequality. If the inequality holds true, then the point is a solution.