ACT- Math

Front

What is the relationship between positive integers n, a, b, and c if n < a, c > a, and b > c?

Back

If n < a, c > a, and b > c, then b - n > a - n must be true.

Front

What is a factor of the polynomial 2x² - 3x - 5?

Back

2x - 5 is a factor of the polynomial 2x² - 3x - 5.

Front

If sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year, how do you find the first year's sales if the third year's sales were 38 million dollars?

Back

Let first year sales be x. Then second year sales = x + 3, and third year sales = 2(x + 3). Set 2(x + 3) = 38 to find x.

Front

What is the equivalent expression for sin θ csc(–θ) wherever sin θ csc(–θ) is defined?

Back

sin θ csc(–θ) is equivalent to -1.

Front

If xy = 144, x + y = 30, and x > y, how do you find the value of x - y?

Back

Use the equations to form a quadratic equation and solve for x and y. The value of x - y is 18.

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the solutions of a quadratic equation in the form ax² + bx + c = 0.

Front

What does it mean for two angles to be complementary?

Back

Two angles are complementary if the sum of their measures is 90 degrees.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

What is the definition of a factor in mathematics?

Back

A factor is a number or algebraic expression that divides another number or expression evenly.