CAASPP Participation Practice HS

Front

What is the difference of squares formula?

Back

The difference of squares formula states that for any two numbers a and b, the expression a² - b² can be factored as (a - b)(a + b).

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts of a quadratic function in the form y = ax² + bx + c, set y to 0 and solve the equation ax² + bx + c = 0 using factoring, completing the square, or the quadratic formula.

Front

What is the minimum value of a quadratic function?

Back

The minimum value of a quadratic function in the form y = ax² + bx + c (where a > 0) occurs at the vertex, which can be found using the formula x = -b/(2a). Substitute this x-value back into the function to find the minimum y-value.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.

Front

What is the formula for the nth term of a geometric sequence?

Back

The nth term of a geometric sequence can be found using the formula: a_n = a_1 * r^(n - 1), where a_1 is the first term and r is the common ratio.

Front

What is the relationship between parallel lines and angles?

Back

When two parallel lines are cut by a transversal, the corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.

Front

What is the square root of a number?

Back

The square root of a number x is a value y such that y² = x. For example, the square root of 9 is 3, since 3² = 9.

Front

How do you simplify expressions with exponents?

Back

To simplify expressions with exponents, use the laws of exponents: a^m * a^n = a^(m+n), (a^m)^n = a^(m*n), and a^m / a^n = a^(m-n).

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that 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): c² = a² + b².

Front

What is the formula for the area of a circle?

Back

The area A of a circle is given by the formula A = πr², where r is the radius of the circle.