Show:
Functional Relationships
Properties & Attributes of Fkunctions
Linear Functions
Inear Equations & Inequalities
Quadratic & Nonlinear Functions
100

What is the slope and y-intercept in the equation 

y - 4x= 7?

Slope:  4

y-intercept: 7

100

Simplify (3m3n)2

9 m6 n2

100

Which description best compares the graphs given by the equations.

y = x + 1 and y=-x + 1

a) Parallel                 b)  Perpendicular

C)  Coincident         d) Intersecting but not                                              perpendicular

Perpendicular

100

Solve -4(p - 5) = 0

p = 5

100

Find the factor form and the rots using the functions 

y=x2 + 4x - 5

Factor form (x + 5) (x - 1)

Roots:  X=-5, x=1

200

In the sequence below, 5 is the first term when x = 1.

5, 10, 15, 20, 25, …..

a)  y = x+5                   c)  y = x5

b)  y = 5x                     d)  y = 5x

b) y = 5x

200

Simplify ((a b2 c3)3 / (a b2 c3))

a2b4 c6

200

A line contains the points (7, 11) and (-2, -7).  Find slope and y-intercepts, 

M =2,    b = -3.

200

Solve (x + 2)/5 = x/6

x = -12

200

If f(x) = 5x2 - 8x + 7, find f(-4)

119

300

What is the value of y in the equation y = 2/3x - 6 when x = 12

y = 2

300

The expression 2b3 c represents the length of a rectangle, and 5ab2 represents the width.  What is the area of the rectangle?


10ab5c

300

Which equation represents a line that contains the point (-5, -3) and has y-intercept of 12?

a) y + 3x = 12          b)  y+ 3x = -19

c)  3x - y = -12         d)  3/5x - y = -12

c) 3x - y = -12

300

Solve the equation: 8 - 4(m + 5) = 3(m - 9)

m = 15/7

300

How does the graph of y = 4x2 + 1 differ from the graph of y=4x2 - 3?

a)  The graph of y=4x2 +1 is narrower than the graph of y= 4x2 - 3.

b)  The graph of y = 4x2 + 1 is wider than the graph of y = 4x2 - 3.

c)  The graph of y = 4x2 + 1 is translated 4 units up from the graph of y = 4x2 - 3.


Correct: c

400

What equation represents a line that has a slope of -3 and passes through the point (0, -4)?

y=-3x - 4

400

Simplify (2x2 - 5a) - (-4 a2 - 3a + 6)

6a2 - 2a - 6

400

Given slope-point form, y + 2 = 4/3(x - 1/2), write in standard form.

4x - 3y =-8

400

Graph 5x - 2y > 10

b = 5        m = 5/2

Shaded right side(bottom) with a dotted line.

400

1The area of a trapezoid can be found using the formula A = 1/2(b1 + b2)h, solve the formula for h.


h = 2A/(b1 + b2)

500

Given two points on a line, (-2, 5)and (4 -4), find an equation in standard form.

Equation: 3x + 2y = 4

500

Factor 5x2 - 11x + 2, find the factor form and the roots.

(x - 2) (5x - 1)

x = 2,  x =1/5

500

Given (2, 8) and (4, -8), find an equation in slope-intercept form.

In addition, find the perpendicular and parallel line that passes through a point ( -1, -8)

Slope-intercept form:  y = -8x + 24

Parallel line: y = -8x -16

Perpendicular line:  y=1/8x - 16 

500

Use the system of equation below.

-4x - 3y = 1       12x + 9y = -3

What statement correctly describes the graphs of these equations?


a) The lines are parallel.

b) The lines coincide.

c)  The lines intersect at exactly one point.

d)  The liens intersect at exactly two points.

Correct:  C

500

Given f(x) = -2(x + 3)2 -5.

Find the vertex points.

Find the standard form.


Maximum Vertex point:  (-3, -5)

Standard Form:  f(x)=-2x2 - 12x - 23