Math 8 1st Semester FINAL

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value of the variable satisfies the equation, meaning the two sides of the equation are equivalent for all values.

Front

Convert the points (4, -5) and (-4, -1) into slope-intercept form.

Back

The slope-intercept form is given by the equation: y = mx + b, where m is the slope and b is the y-intercept. For the points (4, -5) and (-4, -1), the slope m = -1/2, leading to the equation y = -1/2x - 3.

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6.

Front

What does it mean if an equation has one solution?

Back

An equation has one solution when there is exactly one value of the variable that satisfies the equation, meaning the two sides of the equation are equal at that specific value.

Front

Identify a non-proportional graph.

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the x and y values. In this case, graph D is non-proportional.

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the definition of a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

What does it mean for an equation to have no solution?

Back

An equation has no solution when there is no value of the variable that can satisfy the equation, meaning the two sides of the equation are never equal.

Front

What is the process to solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations, such as addition, subtraction, multiplication, or division.