Math 2021

Question 1

What is 5x times 6x^2?

Answer 1

30x^3

Question 2

What does f(x) mean?

Answer 2

“the function of x” or, more simply, “y” when x is substituted into the expression.

Question 3

What is f(2) if f(x) = x - 3 ?

Answer 3

f(2) = -1 Why? 2 - 3 = -1

Question 4

What is a Pythagorean Triple?

Answer 4

Three side lengths that will always form a right triangle.

Question 5

Name three pythagorean triples

Answer 5

3, 4, 5
6, 8, 10
5, 12, 13

Question 6

What is 5pi?

Answer 6

5pi is between 15 and 16 because pi is slightly more than 3. 5 x 3 = 15

Question 7

What change does a dilation of 1 cause?

Answer 7

None! Multiplying by 1 has no effect!

Question 8

What should you do if faced with:
x + y = 12
x - y = 2

Answer 8

Add the two equations together to get:
2x = 14 (the y’s cancel out because they are opposites)
x = 7 !

Question 9

How would you graph, y = x - 4?

Answer 9

Begin at (0,-4) then rise up 1 and run right 1

Question 10

What does > mean?

Answer 10

Greater than

Question 11

Solve for x: -3x > -6

Answer 11

X < 2. BE SURE TO SWITCH THE SIGN because you divided by a negative. (Also true for multiplying)

Question 12

How should you draw the “line of best fit” (also called a trend line) on a scatter plot?

Answer 12

Create a straight line that includes as many points as possible.

Question 13

How do we know if a graph represents a function?

Answer 13

If it passes the VERTICAL LINE TEST!

Question 14

What is the Median of 1, 3, 5, 2, 4?

Answer 14

3 It is in the middle when the numbers are put in order.

Question 15

What is the Median of 1,3,5,2,4,6?

Answer 15

3.5 3 and 4 are in the middle so we have to take the middle of those two numbers.

Question 16

How do we calculate the Mean?

Answer 16

Add up all the numbers and divide by the number of numbers you added

Question 17

What is the Mode?

Answer 17

The number or numbers that appear most often. Sometimes there is no mode. Sometimes there are more than one.

Question 18

How do we calculate range?

Answer 18

Subtract the smallest number from the largest.

Question 19

What are the ends of the whiskers of a box plot called?

Answer 19

The extremes or the max and min.

Question 20

What are the sides of the box of a box plot called?

Answer 20

The upper and lower quartiles

Question 21

What is the line inside the box of a box plot called?

Answer 21

The Median

Question 22

How much of the data does the space between each of the five components of a box plot represent?

Answer 22

25 Percent.

Question 23

How do we calculate the interquartile range?

Answer 23

Subtract the lower quartile from the upper quartile.

Question 24

How can we calculate the midpoint of a line?

Answer 24

Add the x’s of the end points together, divide by 2. Repeat for the y’s

Question 25

How do we calculate probability?

Answer 25

Create a fraction.
Numerator: The part we are asked about
Denominator: The total number of possibilities

Question 26

How do we turn a decimal into a percent?

Answer 26

Move the decimal point 2 spaces to the left OR multiply by 100

Question 27

What is a solution?

Answer 27

A value (or values) that make an equation true.

Question 28

How do we know if a number is a solution?

Answer 28

Substitute it in and see if it creates a true equation!

Question 29

How do we create a percent?

Answer 29

part over whole

Question 30

How do we know a point is a y intercept?

Answer 30

The x value is zero. Example (0, 2)

Question 31

How do we know a point is an x intercept?

Answer 31

The y value is zero. Example ( -1, 0)

Question 32

What is the difference between calculating perimeter and area?

Answer 32

When calculating perimeter we ADD the sides.

When calculating area we MULTIPLY.

Question 33

What do we mean by being “similar?”

Answer 33

Same shape but different size.
CORRESPONDING ANGLES ARE CONGRUENT.
CORRESPONDING SIDES ARE PROPORTIONAL (THEY MAKE EQUAL RATIOS SUCH AS 1/2 , 2/4, 3/6)

Question 34

Rational Number

Answer 34

A number that can be written as a fraction

As a decimal it either ends or repeats in a pattern.

Question 35

Irrational Number

Answer 35

A number that cannot be written as a fraction.

As a decimal it doesn’t repeat and doesn’t end.

Question 36

Pi

Answer 36

Is an IRRATIONAL NUMBER

Question 37

Can you make irrational numbers rational by adding, subtracting, multiplying or dividing?

Answer 37

NO!

Question 38

In a volume formula, what does B mean?

Answer 38

The AREA of the base. We must calculate the area of the base (a separate formula) and then use that number in the volume formula.

Question 39

The formula for volume of a rectangular prism is
V=Bh. If the length of the base is 6 and the width of the base is 4 and the height of the prism is 10, what is the volume?

Answer 39

The volume is 240 cubic units.
B = 4 x 6 = 24
V = Bh
V = 24(10) = 240

Question 40

Parallel

Answer 40

Do not intersect. SLOPES ARE EQUAL

Question 41

Perpendicular

Answer 41

Intersect at 90 degrees/make right angles

SLOPES ARE OPPOSITE RECIPROCALS!

Question 42

Slope of a horizontal line

Answer 42

ZERO

Question 43

Slope of a vertical line

Answer 43

UNDEFINED

Question 44

Rate of Change

Answer 44

Slope!

Question 45

Sum of the interior angles of a triangle

Answer 45

180 degrees

Question 46

Exterior angles

Answer 46

Always add to 360 degrees!

Question 47

Number of degrees in a circle

Answer 47

360

Question 48

Sum of the interior angles of a quadrilateral

Answer 48

360

Question 49

If a diameter is 13, what is the radius?

Answer 49

6.5

Question 50

What is (x + 5)(x - 2) ?

Answer 50

x^2 + 5x - 2x -10 = x^2 + 3x - 10