Algebra 1 Semester 1 Final Review

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

The x-intercept is the point where the line crosses the x-axis, which occurs when y = 0. For the equation 3x + 8(0) = 24, solving for x gives x = 8. Therefore, the x-intercept is (8, 0).

Front

Which point is NOT part of the solution set for the inequality represented by the line 3x + 8y = 24?

Back

The point (-10, -10) is not part of the solution set, as it does not satisfy the inequality represented by the line.

Front

Write the point-slope form of the line that passes through the point (4, -7) with a slope of -1/4.

Back

The point-slope form is given by the equation y - y_1 = m(x - x_1). Substituting the values gives y + 7 = -1/4(x - 4).

Front

Is the sequence 37, 31, 25, 19 an arithmetic sequence?

Back

Yes, it is an arithmetic sequence because the difference between consecutive terms is constant (-6).

Front

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

Back

The slope of the line y = 2x + 3 is 2. A parallel line will have the same slope. Using point-slope form: y - 1 = 2(x - 3), which simplifies to y = 2x - 5.

Front

What is the definition of an x-intercept?

Back

The x-intercept is the point on the graph of a function where the value of y is zero.

Front

What is the definition of a solution set?

Back

A solution set is the set of all values that satisfy a given equation or inequality.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is expressed as y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is constant.

Front

What is the slope of a line parallel to y = mx + b?

Back

The slope of a line parallel to y = mx + b is also m.