Finns cards

Question 1

What is the distributive property?

Answer 1

The distributive property states that a(b + c) = ab + ac.

Question 2

True or False: The distributive property can only be applied to addition.

Answer 2

False

Question 3

Fill in the blank: The distributive property allows you to multiply a number by a sum or a ______.

Answer 3

difference

Question 4

If 3 is multiplied by the sum of 4 and 5, what is the result using the distributive property?

Answer 4

27

Question 5

Which of the following expressions uses the distributive property correctly? a) 2(x + 3) = 2x + 6 b) 2(x + 3) = 2x + 3

Answer 5

a) 2(x + 3) = 2x + 6

Question 6

What is the definition of the domain of a function?

Answer 6

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Question 7

True or False: The range of a function includes all possible output values (y-values) that a function can produce.

Answer 7

True

Question 8

Fill in the blank: The domain of the function f(x) = 1/(x-2) is ________.

Answer 8

All real numbers except x = 2

Question 9

Which of the following represents the range of the function f(x) = x^2?

Answer 9

The range is all real numbers greater than or equal to 0.

Question 10

What determines the domain of a function?

Answer 10

The domain is determined by the values that do not cause division by zero or result in taking the square root of a negative number, among other considerations.

Question 11

What is an independent variable?

Answer 11

An independent variable is the variable that is manipulated or changed in an experiment to test its effects on the dependent variable.

Question 12

True or False: The dependent variable is the one that is measured in an experiment.

Answer 12

True

Question 13

Fill in the blank: In an experiment, the __________ variable is expected to change as a result of changes to the independent variable.

Answer 13

dependent

Question 14

Which of the following is an example of an independent variable? A) Plant growth B) Amount of sunlight C) Water consumption D) Fertilizer type

Answer 14

D) Fertilizer type

Question 15

Short answer: How do independent and dependent variables relate in a scientific experiment?

Answer 15

Independent variables are changed to observe their effect on the dependent variables, which are measured as outcomes.

Question 16

What is the formula for exponential growth?

Answer 16

The formula for exponential growth is y = a(1 + r)^t, where ‘y’ is the final amount, ‘a’ is the initial amount, ‘r’ is the growth rate, and ‘t’ is time.

Question 17

True or False: Exponential decay occurs when a quantity decreases by a consistent percentage over equal time intervals.

Answer 17

True

Question 18

Fill in the blank: In exponential decay, the formula is y = a(1 - r)^t, where ‘r’ represents the _____ rate.

Answer 18

decay

Question 19

What is the key characteristic of exponential functions compared to linear functions?

Answer 19

Exponential functions grow or decay at a rate proportional to their current value, while linear functions grow or decay at a constant rate.

Question 20

Multiple Choice: Which of the following is an example of exponential growth? A) Population increase, B) Temperature change, C) Linear distance, D) Constant speed.

Answer 20

A) Population increase

Question 21

What is the first step in solving the equation 2x + 3 = 11?

Answer 21

Subtract 3 from both sides of the equation.

Question 22

True or False: To isolate a variable, you can perform the same operation on both sides of the equation.

Answer 22

True

Question 23

Fill in the blank: In the equation 5x - 7 = 18, the value of x can be found by first _____ both sides by 5.

Answer 23

adding 7 to

Question 24

What does it mean to ‘solve for x’ in an equation?

Answer 24

It means to find the value of x that makes the equation true.

Question 25

Which of the following equations has x isolated? a) 3x = 12 b) 4 + x = 10 c) 2x + 5 = 20 d) None of the above

Answer 25

a) 3x = 12

Question 26

What is the vertex of a parabola?

Answer 26

The vertex of a parabola is the point where the curve changes direction, representing either the maximum or minimum point of the parabola.

Question 27

True or False: The vertex of a parabola can be found using the formula x = -b/(2a) for the standard form y = ax^2 + bx + c.

Answer 27

True

Question 28

Fill in the blank: The vertex form of a parabola is expressed as y = a(x - h)² + k, where (h, k) represents the ______.

Answer 28

vertex

Question 29

In the equation y = 2(x - 3)² + 4, what are the coordinates of the vertex?

Answer 29

(3, 4)

Question 30

What is the significance of the vertex in relation to the axis of symmetry of a parabola?

Answer 30

The vertex lies on the axis of symmetry, which divides the parabola into two mirror-image halves.