Algebra 1 Pre-Test

Front

What is the Pythagorean Theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the value of the expression (y-x)³ when x = 5 and y = 1?

Back

-64.

Front

How do you calculate the total number of combinations of items?

Back

Multiply the number of choices for each item. For example, if there are 3 sandwiches, 4 chips, and 5 drinks, the total combinations = 3 × 4 × 5 = 60.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.