Quiz about Standardized Test Prep - Math

Question 1

Simplify $$\sqrt[3]{27x^4y6}$$

Accepted Answer

$$3x^{\frac{4}{3}}y^2$$

Answer

$$3x^2y^3$$

Answer

$$3xy^2$$

Answer

$$9xy^2$$

Question 2

The sum of the exterior angles of any polygon is:

Accepted Answer

360 degrees

Answer

240 degrees

Answer

450 degrees

Answer

180 degrees

Question 3

The Inscribed Angle Theorem states that

Accepted Answer

A central angle will be TWICE as large as an angle inscribed with the same points

Answer

A central angle will be HALF as large as an angle inscribed with the same points

Question 4

The formula for area of a circle is:

Accepted Answer

$$\pi r^2$$

Answer

$$2\pi r^2\cdot h$$

Answer

$$2\pi r$$

Answer

$$2\pi r^2$$

Question 5

The arc length of a circle is:

Accepted Answer

The circumference x the degrees of the angle / 360 degrees $$\left(2\pi r\ \cdot\ \frac{\ heta\ }{360\ \deg rees} ight)$$

Answer

The area x the degrees of the angle / 360 degrees $$\left(\pi r^2\ \cdot\ \frac{\ heta\ }{360\ \deg rees} ight)$$

Answer

The circumference x the degrees of the angle / 180 degrees $$\left(2\pi r\ \cdot\ \frac{\ heta\ }{180\ \deg rees} ight)$$

Answer

The x the degrees of the angle / 180 degrees $$\left(\pi r^2\ \cdot\ \frac{\ heta\ }{180\ \deg rees} ight)$$

Question 6

The area of a sector (pie slice) of a circle is

Accepted Answer

The area * (degrees of the angle / 360 degrees) $$\pi r^2\cdot\left(\frac{ heta}{360\degree} ight)$$

Answer

The area * (degrees of the angle / 180 degrees) $$\pi r^2\cdot\left(\frac{ heta}{180\degree} ight)$$

Answer

The circumference * (degrees of the angle / 180 degrees) $$2\pi r^{ }\cdot\left(\frac{ heta}{180\degree} ight)$$

Answer

The circumference * (degrees of the angle / 360 degrees) $$2\pi r\cdot\left(\frac{ heta}{360\degree} ight)$$

Question 7

I should write ratios and unit conversions as:

Accepted Answer

Fractions, so I can cancel units on the top and bottom $$2\ dozen\ eggs\ \cdot\ \left(\frac{12\ eggs}{1\ dozen}\right)\ =\ 24\ eggs$$

Answer

I'll just do it in my head

Answer

Ratios with a colon separator

Answer

I don't need to show my work

Question 8

The formula for distance is

Accepted Answer

Distance = rate * time

Answer

Distance = rate / time

Answer

Rate = Time / Distance

Answer

Distance = time / rate

Question 9

I can clear radicals / roots from the denominator of a fraction by:

Accepted Answer

Multiplying by 1 in the form of $$\frac{\sqrt[]{a\ number}}{\sqrt[]{a\ number}}$$

Answer

Multiplying by the inverse

Answer

Flipping the fraction

Answer

Adding 1 in the form of $$\frac{\sqrt[]{a\ number}}{\sqrt[]{a\ number}}$$

Question 10

If I have an expression with a radial / root in the denominator (e.g. $$\frac{17}{2+\sqrt[]{3}}$$ ), I can clear it by

Accepted Answer

Multiplying by 1 in the form of $$\frac{2-\sqrt[]{3}}{2-\sqrt[]{3}}$$

Answer

Multiplying by 1 in the form of $$\frac{2+\sqrt[]{3}}{2+\sqrt[]{3}}$$

Answer

Flipping the fraction

Answer

Multiplying by the inverse

Question 11

When graphing slope (m):

Accepted Answer

If m>0, the line goes up and to the right.

If m<0, the line goes down and to the left

Answer

The slope (m) is a function of time

Answer

If m<0, the line goes up and to the right.

If m>0, the line goes down and to the left

Answer

The slope is flat

Question 12

When a negative number is MULTIPLIED or DIVIDED across an inequality (<,>), I must:

Accepted Answer

Flip the direction of the inequality sign

Answer

Ignore the negative sign and circle the wrong answer

Answer

Keep the inequality sign as-is

Answer

Huh, what? I wasn't paying attention

Question 13

For a parabola / quadratic $$\left(y=ax^2+bx+c\right)$$ , the formula for the x-value of the vertex is

Accepted Answer

$$\frac{-b}{2a}$$

Answer

$$\frac{-a}{2b}$$

Answer

$$\frac{a}{2b}$$

Answer

$$\frac{b}{2a}$$

Question 14

For a parabola / quadratic $$\left(y=ax^2+bx+c\right)$$ ...

Accepted Answer

When a>0, the parabola is concave up.

When a<0, the parabola is concave down.

Answer

When b>0, the parabola is concave up.

When b<0, the parabola is concave down.

Answer

When b<0, the parabola is concave up.

When b>0, the parabola is concave down.

Answer

When a<0, the parabola is concave up.

When a>0, the parabola is concave down.

Question 15

For a parabola / quadratic $$\left(y=ax^2+bx+c\right)$$ , the formula to determine how many times the function crosses the x-axis (aka the determinant) is:

Accepted Answer

$$b^2-4ac$$

Answer

$$b^2+4ac$$

Answer

$$b^2-\sqrt[]{b^2-4ac}$$

Answer

$$-b^2+\sqrt[]{b^2-4ac}$$

Question 16

The formula for the mean (average) is

Accepted Answer

$$\frac{Sum\ of\ data\ values}{Number\ of\ data\ points}$$

Answer

The middle value when arranged from smallest to largest

Answer

$$\frac{Number\ of\ data\ points}{Sum\ of\ data\ values}$$

Answer

Sum of data values * number of data points

Question 17

The median is:

Accepted Answer

The middle value when arranged from smallest to largest

Answer

The most common / frequent value in a data set

Answer

The same as the average

Answer

$$\frac{Sum\ of\ data\ values}{Number\ of\ data\ points}$$

Question 18

The probability of something occurring is:

Accepted Answer

$$\frac{Number\ of\ desired\ outcomes}{Total\ possible\ outcomes}$$

Answer

$$\frac{Total\ possible\ outcomes}{Number\ of\ undesired\ outcomes}$$

Answer

$$\frac{Total\ possible\ outcomes}{Number\ of\ desired\ outcomes}$$

Answer

$$\frac{Number\ of\ undesired\ outcomes}{Total\ possible\ outcomes}$$

Question 19

The vertex form of a parabola / quadratic is:

Accepted Answer

$$y=a\left(x-h\right)^2+k$$ where (h,k) is the vertex

Answer

$$y=a\left(x+h\right)^2-k$$ where (h,k) is the vertex

Answer

$$y=a\left(x+h\right)^2-k$$ where (k,h) is the vertex

Answer

$$y=a\left(x-h\right)^2+k$$ where (k,h) is the vertex

Question 20

The radius (r) of a circle is:

Accepted Answer

A line from the center of the circle to any outer edge

Answer

Always 90 degrees

Answer

The distance around the edge of the circle

Answer

A line from the one edge of the circle to the opposite edge (through the center of the circle)

Question 21

The area of a square or rectangle is:

Accepted Answer

$$length\ \cdot\ width$$

Answer

$$\frac{width}{height}$$

Answer

$$length\ \cdot\ width\ \cdot\ height$$

Answer

$$\frac{length}{width}$$

Question 22

The area of a triangle is

Accepted Answer

$$\frac{1}{2}\cdot base\cdot height$$

Answer

$$\frac{1}{4}\cdot base\cdot height$$ (only for right triangles)

Answer

$$\frac{1}{2}\cdot base\cdot height$$ (only for right triangles)

Answer

$$\frac{1}{4}\cdot base\cdot height$$

Question 23

The volume of a cube is

Accepted Answer

$$Length\ \cdot\ width\ \cdot\ height$$

Answer

$$\frac{Length}{width\ \cdot\ height}$$

Answer

$$\frac{Length}{width}$$

Answer

$$Length\ \cdot\ width$$

Question 24

The sum of the roots of a quadratic / parabola $$\left(y=ax^2+bx+c\right)$$ is:

Accepted Answer

$$-\frac{b}{a}$$

Answer

$$-\frac{a}{b}$$

Answer

$$\frac{a}{b}$$

Answer

$$\frac{b}{a}$$

Question 25

The product of the roots of a quadratic / parabola $$\left(y=ax^2+bx+c\right)$$ is:

Accepted Answer

$$\frac{c}{a}$$

Answer

$$\frac{a}{c}$$

Answer

$$-\frac{a}{c}$$

Answer

$$-\frac{c}{a}$$

Question 26

To find the nth value in a series, I can use

Accepted Answer

$$Original\ value\ +\ \left(n-1\right)\cdot d$$ where (d) is the constant difference between terms

Answer

$$Original\ value\ -\ \left(n-1\right)\cdot d$$ where (d) is the constant difference between terms

Answer

$$Original\ value\ -\ \left(n+1\right)\cdot d$$ where (d) is the constant difference between terms

Answer

$$Original\ value\ -\ \left(n-1\right)\cdot d$$ where (d) is the constant difference between terms

Question 27

To calculate exponential growth or decay, I use

Accepted Answer

Value at time (t) = $$Starting\ value\ \cdot\left(1+rate\right)^{time\ periods}$$

Answer

Value at time (t) = $$Starting\ value\ \cdot1^{time\ periods}$$

Answer

Value at time (t) = $$Starting\ value\ +1^{time\ periods}$$

Answer

Value at time (t) = $$Starting\ value\ +\left(1+rate\right)^{time\ periods}$$

Question 28

If I take a sample from a population and make a finding, the sample MUST be:

Accepted Answer

Randomly selected

Answer

Selected to suit my needs

Question 29

If I take a random sample and make a finding, that finding may ONLY apply to:

Accepted Answer

The EXACT population that I took the sample from

Answer

A wider population than that from which the sample was taken

Question 30

Standard deviation is

Accepted Answer

The measure of how spread out data is (how far from the average)

Answer

The middle value when data is arranged from least to greatest

Answer

The most common value in a data set

Answer

Equal to 1

Question 31

Equilateral means:

Accepted Answer

All the sides (and thus the interior angles) in a shape are the same

Answer

All the interior angles in a shape are the same

Question 32

Congruent means:

Accepted Answer

The same size and shape (i.e. identical)

Answer

Having the same side lengths

Answer

Having the same interior angle measurements

Question 33

The equation of a circle is:

Accepted Answer

$$\left(x-h\right)^2+\left(y-k\right)^2=r^2$$ where (h,k) is the center and (r) is the radius

Answer

$$\left(x-h\right)^2-\left(y+k\right)^2=r^2$$ where (h,k) is the center and (r) is the radius

Answer

$$\left(x-h\right)^2-\left(y-k\right)^2=r^2$$ where (k,h) is the center and (r) is the radius

Answer

$$\left(x-h\right)^2+\left(y-k\right)^2=r^2$$ where (k,h) is the center and (r) is the radius

Question 34

Triangles are NOT necessarily congruent (identical) when which of the following matches:

Accepted Answer

3x interior angles

Answer

2x sides and the third interior angle

Answer

3x side lengths

Answer

2x interior angles and the third side

Question 35

$$7^3\cdot7^5=$$

Accepted Answer

$$7^8$$

Answer

$$7^{15}$$

Answer

Cannot be determined

Question 36

$$\frac{4^{17}}{4^{11}}$$

Accepted Answer

$$4^6$$

Answer

$$4^{\frac{11}{17}}$$

Answer

Cannot be determined

Question 37

$$\left(11^4\right)^{6\ }=$$

Accepted Answer

$$11^{24}$$

Answer

$$11^{10}$$

Answer

Cannot be determined

Question 38

$$\sqrt[2]{19}$$ =

Accepted Answer

$$19^{\frac{1}{2}}$$

Answer

$$9^2$$

Answer

$$19^{\frac{1}{3}}$$

Answer

$$9^3$$

Question 39

The slope of parallel lines will be

Accepted Answer

Identical

Answer

The negative inverse of each other

Answer

The inverse of each other

Answer

The negative of each other

Question 40

$$a^2-b^2=$$

Accepted Answer

$$\left(a-b\right)\left(a+b\right)$$

Answer

$$\left(a+b\right)\left(a+b\right)$$

Answer

$$\left(a-b\right)\left(a-b\right)$$

Question 41

The Remainder Theorem for polynomials $$e.g.\ \frac{x^3+4x^2-5x-14}{x-2}$$ states:

Accepted Answer

When dividing a polynomial by an expression (x-a), you can substitute the x-value that makes the expression equal zero into the ORIGINAL POLYNOMIAL to determine the remainder

Answer

There's no way to determine the remainder except to do long-form synthetic division

Question 42

I can determine if a polynomial (e.g. $$x^3+4x^2-5x-14$$ ) is evenly divisible (with no remainder) by applying:

Accepted Answer

The Remainder Theorem

Answer

My creativity

Question 43

I SHOULD re-read the question being asked before filling in my final answer

Accepted Answer

True

Answer

False

Question 44

I need to double-check my work when I see two answers with the same value except for differing signs (+/-)

Accepted Answer

True

Answer

False

Question 45

The remainder of dividing $$\frac{x^3-4x^2-7x+10}{x-2}$$ is:

Accepted Answer

-12 using the Remainder Theorem

Answer

-8 using the Remainder Theorem

Answer

-8 using Synthetic Long Division

Answer

-12 using Synthetic Long Division

Question 46

It is a smart idea to use draw a number line when I see a problem with inequalities (<,>)

Accepted Answer

True

Answer

False

Question 47

The angle formed between a line tangent to the edge of a circle and the radius extending to the same point is equal to

Accepted Answer

90 degrees - the lines are perpendicular

Answer

180 degrees - the lines are perpendicular

Answer

90 degrees - the lines form a joint transversable pair

Answer

180 degrees - the lines form a joint transversable pair

Question 48

When a triangle is inscribed in a circle and the diameter is the hypotenuse of the circle...

Accepted Answer

The angle opposite the hypotenuse = 90 degrees

Answer

The angle opposite the hypotenuse = 135 degrees

Answer

The angle opposite the hypotenuse = 45 degrees

Question 49

A negative number to an even power will be (e.g. $$\left(-9\right)^{46}$$

Accepted Answer

Positive

Answer

Negative

Answer

I need a calculator

Question 50

A negative number to an odd power will be (e.g. $$\left(-9\right)^{17}$$

Accepted Answer

Negative

Answer

I need a calculator

Answer

Positive

Question 51

When I see a word problem...

Accepted Answer

I should convert the words to an equation

Answer

I should just try to do it in my head

Question 52

When I see a function [f(x)]...

Accepted Answer

I can take an x-value and plug it in to determine the y-value.

Each x-value may only produce one y-value for it to classify as a function

Answer

I get confused

Question 53

When I see a radical sign or an absolute value sign in a problem...

Accepted Answer

I should be extremely careful because there may be two solutions (positive and negative)

Answer

I should work the problem faster

Question 54

When a distribution graph is "skewed right", the majority of the data will be

Accepted Answer

To the left side of the graph and the median will be less than the mean

Answer

To the right side of the graph and the median will be greater than the mean

Question 55

If given the averages of Group A and Group B, I can get the average of Groups A+B by averaging the two averages

Accepted Answer

False - I have to use the formula to calculate the mean (average)

Answer

True

Question 56

When I see a negative sign in front of an expression e.g. ( $$x-\left(14-8\right)$$ ), I should be careful

Accepted Answer

True - the negative sign needs to be distributed across both the +14 and the -8

Answer

False - I've got this

Question 57

In math, (i) represents

Accepted Answer

$$\sqrt[2]{-1}$$

Answer

$$\sqrt[3]{-1}$$

Answer

$$\sqrt[2]{+1}$$

Answer

$$\sqrt[3]{+1}$$

Question 58

In order to add fractions...

Accepted Answer

The denominator must be the same - and it stays the same after the numerators are added

Answer

The denominator must be the same - and it doubles after the numerators are added

Question 59

As an alternative to dividing by a fraction, I can...

Accepted Answer

Multiply by the inverse (flip and multiply)

Answer

Throw up

Question 60

If I have two fractions that equal each other...

Accepted Answer

I can cross-multiply

(whole numbers can be written as fractions / 1)

Answer

Multiplying both sides by 1 is a great idea

Question 61

SOH CAH TOA means

Accepted Answer

$$\sin\left( heta ight)=\frac{opposite}{hypotenuse};\ \cos\left( heta ight)=\frac{adjacent}{hypotenuse}; an\left( heta ight)=\frac{opposite}{adjacent}$$

Answer

An ancient Polynesian war chant is starting

Question 62

The point-slope formula of a line is:

Accepted Answer

$$y-y_1=m\left(x-x_1\right)$$ for any slope (m) and point on the line $$\left(x_1,y_1\right)$$

Answer

$$y=mx+b$$ for any slope (m) and y-intercept (b)

Answer

$$y+y_1=m\left(x+x_1\right)$$ for any slope (m) and point on the line $$\left(x_1,y_1\right)$$

Answer

$$y-y_1=m\left(x+x_1\right)$$ for any slope (m) and point on the line $$\left(x_1,y_1\right)$$

Question 63

The formula for slope is

Accepted Answer

$$\frac{y_2-y_1}{x_2-x_1}$$ for any two points on a line $$\left(x_1,y_1\right)$$ and $$\left(x_2,y_2\right)$$

Answer

$$\frac{y_1-y_2}{x_2-x_1}$$ for any two points on a line $$\left(x_1,y_1\right)$$ and $$\left(x_2,y_2\right)$$

Answer

$$\frac{y_2+y_1}{x_2-x_1}$$ for any two points on a line $$\left(x_1,y_1\right)$$ and $$\left(x_2,y_2\right)$$

Answer

$$\frac{y_2-y_1}{x_1-x_2}$$ for any two points on a line $$\left(x_1,y_1\right)$$ and $$\left(x_2,y_2\right)$$

Question 64

The slope of a line perpendicular to a line with a slope of $$\frac{2}{3}$$ is

Accepted Answer

$$-\frac{3}{2}$$

Answer

$$-\frac{2}{3}$$

Answer

$$\frac{3}{2}$$

Answer

$$\frac{2}{3}$$

Standardized Test Prep - Math

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