FTCE Math Review

Parallel lines have slopes that are _______.

What is standard form for a linear equation?

Perpendicular lines have slopes that are __________.

What is point-slope form for a linear equation?

For inequalities, reverse the inequality symbol when ________.

What is the binomial theorem formula?

 = ____
a.  When a is positive and k is even?
b.  When a is positive and k is odd?
c.  When a is negative and k is even?
d.  When a is negative and k is odd?
e.  When a is zero?

i = ?

To rationalize the denominator of a fraction you should _______________.

When the denominator is a binomial containing a radical expression, the form of 1 used to rationalize is called the ________.

The conjugate used to rationalize a binomial denominator has the 
A.  same rational terms with opposite signs
B.  same rational terms
C. reciprocal rational terms
D.  reciprocal rational terms with opposite signs

Formula to factor the difference of perfect cubes: 

Formula to factor the sum of perfect cubes:  

Formula for factoring in pairs: 

For any polynomial P(x) with root=r, what is one known factor?

Formula for the quadratic equation?

 is called the ______________.

If the discriminant of a polynomial is positive the resulting roots are ________.

If the discriminant of a polynomial is zero, the resulting roots are __________.

If the discriminant of a polynomial is negative, the resulting roots are _________.

The shape of the graph for  is a __________.

The formula for the axis of symmetry for a parabola is ________.

If a>0, a parabola opens ___________.

If a<0, a parabola opens ____________.

What are the 2 components of a vector?

For a vector multiplied by a scalar, 

Multiplying vector coordinates by a scalar changes the ___________ of the vector.

For a function, the set of all input values is called the __________.

For a function, the set of all output values is called the ___________.

To determine if the inverse of a function is a function, use the _______________.

A function that is symmetric about the y-axis is said to be _________.

A function that is symmetric about the origin is said to be __________.

If a function is even, 

If a function is odd, f

Rotation 90^o about the origin, changes the coordinates (x,y) to _________.

Rotation 180^o about the origin, changes the coordinates (x,y) to _________.

Rotation 270^o about the origin, changes the coordinates (x,y) to _________.

Reflection over the x-axis changes the coordinates from (x,y) to ______ and results in the function __________.

Reflection over the y-axis changes the coordinates from (x,y) to _____ and results in the function _________.

Reflection over the axis y=x changes the coordinates (x,y) to _____ and results in the function __________.

Horizontal translation of a graph by  changes the coordinates from (x,y) to ________ and the function to ________.

Vertical translation of a graph by  changes the coordinates from (x,y) to ________ and the function to ________.

Vertical dilation of a graph by factor a changes the coordinates from (x,y) to _________ and results in the function _______.

Horizontal dilation of a graph by factor a changes the coordinates from (x,y) to _________ and results in the function _______.

Angles of equal measure are said to be _________.

A ray _________ an angle as the ray divides the angle into 2 congruent angles.

Any point on a perpendicular bisector is ___________ from the ends of the segment.

Angles that sum to 90^o are said to be _______.

Angles that sum to 180^o are said to be ___________.

Triangles with no equal sides are called _________.

Triangles with 2 equal sides are called ______.

The unequal side of an isosceles triangle is called the _______.

Triangles with 3 equal sides (and 3 equal angles) are called _______.

A(n) ______ triangle has 1 angle greater than 90^o.

A(n) _____ triangle has 3 angles less than 90^o.

A(n) ______ triangle has a 90^o angle.

The line segment from a vertex of a triangle perpendicular to the opposite side is called a(n) _________.

The line segment from a vertex of a triangle to the midpoint of the opposite side is called the _______.

A line that bisects a triangle side and is perpendicular to the side is called a(n) __________.

The line segment that joins the midpoints of 2 sides of a triangle is called the _______.

The midline creates a line that is _______ the size of the 3rd side.

Formula for the pythagorean theorum = ?

A line that intersects 2 or more coplanar lines is called a(n) ________ line.

Name the corresponding angles in the image below:

Name the alternate interior angles in the image below:

Name the alternate exterior angles in the image below:

Name the consecutive interior angles in the image below:

Name the consecutive exterior angles in the image below:

For parallel lines crossed by a transversal what 2 types of angles are supplementary?

For parallel lines crossed by a transversal, which angles are congruent?

Any two tangent lines of a circle that meet at point P are _______.

The radius that extends from the center of the circle to the point of tangency is _________ to the tangent.

A _________ line intersects a circle at 2 points.

A _____ joins 2 points on a circle.

The _________ of a circle is the chord that passes through the center point.

For an angle with a vertex on a circle, the measure of the angle is equal to _________.

For an angle with a vertex inside a circle, the measure of the angle is equal to ________.

For an angle with a vertex outside a circle, the measure of the angle is equal to __________.

State the relationship between the lengths of the chords shown.

State the relationship between the tangent and the secant of the circle shown above.

State the relationship between the 2 secants drawn in the circle above.

The formula for the sum of the internal angles for a polygon = ?

The sum of the internal and external angles of a polygon = ?

The sum of the exterior angles of a polygon = ?

For equiangular polygons, an exterior angle = ?

For equiangular polygons, an interior angle = ?

Polygons in which all corresponding internal angles and corresponding sides are congruent are said to be _________.

Name 5 methods used to prove 2 triangles are congruent.

Name 3 methods used to prove 2 polygons are similar.

circumference of a circle = ?

Formula for the length of an arc = ?

Parallelogram: A=?

Square:  A=?

Rectangle:  A=?

Triangle:  A=?

Kite:  A=?

Rhombus: A=?

Trapezoid: A=?

Circle:  A=?

Sector:  A=?

The line from the center of a regular polygon perpendicular to a side is called a(n) _______________.

Polygon:  A=?

Right Prism:  
LA=?
TA = ?

Right Prism:  V=?

Right cylinder:  
LA=?
TA=?

Right cylinder: V=?

Right pyramid:
LA=?
TA=?

Right pyramid: V=?

Right cone:
LA=?
TA=?

Right cone:  V=?

Sphere:
TA = ?

Sphere:  V=?

If a figure is dilated by factor , surface area is dilated by factor _______ and volume is dilated by factor ___________.

For the conditional statement p ⇒ q:
converse = ?
inverse = ?
contrapositive = ?

Distance between 2 points formula:  d=?

distance between a point (x,y) and a line (Ax+By=C):
d=?

Midpoint formula:  MP = ?

What is the standard formula for the equation of a circle?

What is the standard form of an ellipse with a horizontal major axis?

What is the standard form of an ellipse with a vertical major axis?

What is the standard form of a parabola that opens upward?

What is the standard form of a parabola that opens downward?

What is the standard form of a parabola that opens to the right?

What is the standard form of a parabola that opens to the left?

What is the standard form of a hyperbola with a horizontal focal axis?

What is the standard form of a hyperbola with a vertical focal axis?

Rotation of an image 90^o counter-clockwise about the point of rotation changes (x,y) to ____.

Rotation of an image 180^o counter-clockwise about the point of rotation changes (x,y) to ____.

Rotation of an image 270^o counter-clockwise about the point of rotation changes (x,y) to ____.

Reflection of an image across the x-axis changes (x,y) to _____.

Reflection of an image across the y-axis changes (x,y) to _____.

Reflection of an image across the line y=x changes (x,y) to _____.

Dilation by a factor <1 _______ the image.

Dilation by a factor >1 _________ the image.

The x-coordinate is also referred to as the ______.

The y-coordinate is also referred to as the ________.

360^o = _____ radians

For θ=0:
sin θ = ?
cos θ = ?
tan θ = ?

For θ=30^o:
sin θ = ?
cos θ = ?
tan θ = ?

For θ=45^o:
sin θ = ?
cos θ = ?
tan θ = ?

For θ=60^o:
sin θ = ?
cos θ = ?
tan θ = ?

For θ = 90^o:
sin θ = ?
cos θ = ?
tan θ = ?

For θ = 180^o:
sin θ = ?
cos θ = ?
tan θ = ?

For θ = 270^o:
sin θ = ?
cos θ = ?
tan θ = ?

According to the quotient identity:

According to the quotient identity:

This is a graph of the _____ function.

This is a graph of the ______ function.

This is a graph of the _____ function.

This is a graph of the ______ function.

This is a graph of the _____ function.

This is a graph of the _____ function.

This is a graph of the _____ function.

This is a graph of the ______ function.

This is a graph of the _______ function.

This is a graph of the ________ function.

This is a graph of the ________ function.

This is a graph of the _______ function.

The general formula for the transformation of the graph of sin or cos is _________.
Where:  
A = ?
B = ?
C = ?
D = ?

Law of Sines

Law of Cosines

Mean 

Median

Mode

What are the best measures of spread for symmetric data sets?

What is the best measure for spread for data with outliers?

Variance: s² = ?

Standard deviation:  s = ?

A 5 number summary contains:

Interquartile range = ?

Outliers are values < __________ or > _________.

In a box and whisker plot, the boundaries of the box represent _______.

In a box and whisker plot, the "whiskers" represent the _________.

Z-score:  z = ?

Changing the units of a set of data results in ________.

Adding or subtraction a constant to the values of a set of data changes ________.

Analysis of a scatter plot should include these 3 characteristics:

Correlation coefficient: r = ?

For the correlation coefficient, r, interpret the following results:
r = -1
r = 0
r = 1

Linear regression: 

Name 5 types of random samples.

For independent events:  

For dependent events:  

For the probability of M, N, or both M & N: 

Permutations (when Position matters):

Combinations (order doesn't matter):

Combinations with repetition:

Sequences in which the difference between sums is constant is called ________.

Arithmetic sequence:

Sequences in which there is a constant ratio between terms are called __________.

Geometric sequence:

Change of base formula:
For