BHS Fall Semester Exam Algebra 1

Front

What does the inequality y > 3x - 4 represent graphically?

Back

It represents the region above the line y = 3x - 4, where y is greater than the value of 3x - 4.

Front

How do you solve the inequality -4x + 10 ≥ 5x + 55?

Back

Combine like terms: -4x - 5x ≥ 55 - 10, which simplifies to -9x ≥ 45. Dividing by -9 (and flipping the inequality) gives x ≤ -5.

Front

What is the inequality that represents the cost of roses and carnations if roses cost $3 each and carnations cost $2 each, with a budget of $30?

Back

3x + 2y ≤ 30, where x is the number of roses and y is the number of carnations.

Front

What is the x-intercept of a linear function that passes through the point (-7,0)?

Back

The x-intercept is -7, which is the point where the graph crosses the x-axis.

Front

How do you find the slope of a line given two points, such as (-7,0) and (1,8)?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1). For these points, m = (8 - 0) / (1 - (-7)) = 8/8 = 1.

Front

What is the solution to the equation 4(0.5n – 3) = n – 0.25(12 – 8n)?

Back

The value of n that makes the equation true is n = -9.

Front

What does the term 'solution set' mean in the context of inequalities?

Back

The solution set is the set of all values that satisfy the inequality.

Front

What is the difference between a strict inequality (>) and a non-strict inequality (≥)?

Back

A strict inequality (>) does not include the boundary value, while a non-strict inequality (≥) includes the boundary value.

Front

How can you graph the inequality y ≤ 2x + 3?

Back

Graph the line y = 2x + 3 as a solid line and shade below the line to represent all points where y is less than or equal to 2x + 3.

Front

What is the meaning of the term 'linear function'?

Back

A linear function is a function that graphs to a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.