End of the Year Math Flashcards 1-50

Rate of change is the same as ___in the context of a word problem.

40

Definition of a function.

A function is a set of ordered pairs where every x value is paired with exactly one y value.

When changing from standard form to scientific notation, the leading number needs to be between what two values?

When changing from standard form to scientific notation, the leading number must be greater than or equal to 1 and less than 10.

When dividing two numbers in scientific notation using a calculator, you need to use _______________.

When dividing two numbers in scientific notation on the calculator, you need to use parentheses.

. What is the rule for changing a number in scientific form to standard form when the exponent is negative?

When the exponent is negative, move the decimal point to the left the same number of place as the exponent.

What is the rule for changing a number in scientific form to standard form when the exponent is positive?

When the exponent is positive, move the decimal point to the right the same number of places as the exponent.

Define whole numbers. Give two examples.

Whole - All of the Natural numbers and O

Any number to the zero power is equal to what?

1

Definition of a relation.

A relation is a set of ordered pairs.

What is the standard form of a line?

Ax + By = C

What letter is the dependent variable?

Dependent Variable = y

What is the rate of change formula?

Difference in dependent over difference in independent

What property is modeled by a(b + c) = ab + ac?

Distributive

What letter is the domain? Range? Output? Input?

Domain/Input = x ; Range/Output = y

What is the definition of a Pythagorean Triple?

Three whole numbers that satisfy the Pythagorean Theorem.

Explain how to find the length of the diagonal of a rectangular prism.

Find the length of the "floor" diagonal using the Pythagorean Theorem. Find the length of the "space" diagonal using the Pythagorean Theorem (the height, floor diagonal and space diagonal form a right triangle).

Explain how to use the converse of the Pythagorean Theorem to determine if three side measures form a right triangle.

If a2 + b2 = c2, then the triangle is a right triangle.

If you are given a point and a slope, explain how to find the equation.

If given the slope and a point, use the equation y = mx+b. Using the (x, y) coordinates, substitute the numbers in for x and y. Substitute the slope in for m and solve for b. Using the slope and the "b" that was calculated, write an equation in slope intercept form.

What letter is the independent variable?

Independent Variable = x

Define integers. Give two examples.

Integers - Whole numbers and their opposites

Define irrational numbers. Give two examples.

Irrational numbers - Numbers that cannot be written as a ratio of integers, in decimal form the number continues without repeating or terminating

How do you use the calculator to evaluate a cube root?

Math key, #4

Define natural numbers. Give two examples.

Natural - the counting numbers

Define rational numbers. Give two examples.

Rational Number - Any number that can be written as a ratio of integers, in decimal form the number terminates or repeats

Slope is the ratio of the ___________ to ___________.

Slope is the ratio of the rise to run.

What is true about the slopes of parallel lines? Their y-intercepts?

Slopes of parallel lines are equal (same). Y-intercepts are different.

If given two points, how do you use your calculator to get the equation?

Stat; Edit; Enter x coordinates in L1; Enter y coordinates in L2; Stat; Calc; #4

What is the rule for changing a negative exponent into a positive?

To change a negative exponent to a positive, move the base with the negative exponent to the opposite side of the fraction. For example, if the base with the negative exponent is in the denominator, it will be moved to the numerator and the exponent is made positive. If the base with the negative exponent is in the numerator, it will be moved to the denominator and the exponent is made positive.

How do you use a vertical line test to tell if a graph is a function?

To determine a function using the vertical line test, draw vertical lines on the graph. If the lines touch the graph only once, the graph is a function.

What is the rule for dividing two powers with the same base?

To divide two powers with the same base, keep the base and subtract the exponents.

Explain how to find the distance between two points on a coordinate plane using the Pythagorean Theorem.

To find the distance between two points on the coordinate plane, create a right triangle on the coordinate plane and use Pythagorean Theorem to find the length.

Explain how to find the x-intercept.

To find the x-intercept, let y=0 and solve for x.

Explain how to find the y-intercept.

To find the y-intercept, let x=0 and solve for y.

What is the rule for multiplying two powers with the same base?

To multiply two powers with the same base, keep the base and add the exponents.

What is the shortcut for recognizing a function in ordered pair form?

To recognize a function in ordered pairs, the x value should not repeat itself (with different values for the y).

What is the rule for taking a power to a power?

To take a power to a power, keep the base the same and multiply the powers.

How do you know if two monomials are like terms?

Two monomials are like terms if they each have the same variable(s) to the same power.

How many solutions are there to x2 = 81?

Two; -9 and 9

What is the slope of a vertical line?

Undefined

Explain how to change 0.5 repeated into a fraction.

Use powers of 10 to write two equations that can be subtracted to convert the repeating decimal into a fraction. (Both equations need to have the repeating digit(s) after the decimal point.) Let x = 0. 5 ̅. Let 10x = 5. 5̅. When you subtract the second and first equations, the result is 9x = 5. Solve for x, x= 5 9 .

What is the slope of a horizontal line?

Zero

List the steps to divide two numbers in scientific notation.

a) Divide the numbers. b) Divide the powers of 10. c) Make adjustments to put in scientific notation.

List the steps to multiply two numbers in scientific notation.

a) Multiply the numbers. b) Multiply the powers of 10. c) Make adjustments to put in scientific notation.

What is the Pythagorean Theorem formula? What kind of triangle do you use it on?

a2 + b2 = c2 ; Right triangles only

What does m and b stand for?

m = slope; b = y-intercept

What is the special equation of an undefined line?

x = a number

What is the special equation of a zero sloped line?

y = a number

What is the slope intercept form of a line?

y = mx + b

What is the slope formula?

y2-y1 over x2-x1