Algebra 1 Semester 1 Review

Front

What is the solution to the equation 4(1-x)+3x=-2(x+1)?

Back

x = -6

Front

What is the equation of the line that has a slope of -1 and y-intercept of 2?

Back

y = -x + 2

Front

How do you estimate the total cost for a school to employ a teacher and a para for 5 years if the median salaries are $46,000 and $35,000?

Back

5(46,000 + 35,000) = $405,000

Front

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

Back

y = 2x - 5

Front

What is the equation of the line with a slope of 1/3 and y-intercept of -2?

Back

y = 1/3x - 2

Front

Define 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 y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the difference between parallel and perpendicular lines?

Back

Parallel lines have the same slope and never intersect, while perpendicular lines have slopes that are negative reciprocals of each other.