7th grade First Semester Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where 'm' is the slope and 'b' is the y-intercept.

Front

How do you find the length of a missing side in a right triangle?

Back

Use the Pythagorean theorem: a^2 + b^2 = c^2, where 'c' is the hypotenuse.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or equal to the other.

Front

How do you set up an inequality for a budget problem?

Back

Identify the total cost and set it less than or equal to the budget. For example, if the cost is 5 + 2.5x, the inequality would be 5 + 2.5x ≤ budget.

Front

What is the formula to calculate the cost per item?

Back

Cost per item = Total cost / Number of items.

Front

How do you determine the slope of a line from an equation?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation y = mx + b.

Front

How do you solve for x in a linear equation?

Back

Isolate x on one side of the equation using inverse operations.

Front

What is proportionality in mathematics?

Back

Proportionality means that two quantities increase or decrease at the same rate, represented by a constant ratio.