Foundations Exam Review - PARTNER

Front

How many solutions does the system of equations below have? y = -x + 6, y = -x + 8

Back

No Solution: The two lines are parallel and will never intersect.

Front

Identify the y-intercept of the equation: 6x + 2y = -14

Back

The y-intercept is -7. To find it, set x = 0 and solve for y.

Front

Does the following equation represent a vertical line, a horizontal line, or neither? y = −3

Back

Horizontal line: This equation indicates that y is always -3, regardless of x.

Front

For the function f(x) = -3(x-1), find f(0).

Back

f(0) = 3. Substitute 0 into the function to find the output.

Front

Rearrange the formula x = abc - d to solve for b.

Back

b = \frac{x + d}{ac}. Rearranging involves isolating b on one side of the equation.

Front

What is the slope of the line represented by the equation y = -x + 6?

Back

The slope is -1. In the slope-intercept form y = mx + b, m is the slope.

Front

What does it mean if a system of equations has one solution?

Back

One solution means the lines intersect at exactly one point, indicating a unique solution.

Front

What is the definition of a vertical line in terms of its equation?

Back

A vertical line has an equation of the form x = a, where 'a' is a constant.

Front

How do you find the x-intercept of the equation 6x + 2y = -14?

Back

Set y = 0 and solve for x. The x-intercept is the point where the line crosses the x-axis.

Front

What is the significance of the y-intercept in a linear equation?

Back

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