Semester 2 Review (Course 3)

Real Numbers

100

Write the repeating decimal as a fraction.

0.6333333.........

 57/90 or 19/30

200

Is 

sqrt(42) rational or irrational?

Irrational

300

Find the rational approximation of 

sqrt(15)

3.87

400

The volume of a cube is 512 cubic inches.  What is the length of each side of the cube?

8in

500

Solve the equation y²=81

y=9,-9

Analyze and Solve Linear Equations

100

Solve for x

x+0.15x=3.45

x=3

200

Solve the equation

96-4.5y-3.2y=5.6y+42.80

y=4

300

Solve the equation:

-3(-7-x)=1/2(x+2)

x=-8

400

Solve the equation and determine the number of solutions.

4(4x-2)+1=16x-7

-7=-7

Infinitely many solutions

500

Find the slope of the line that passes through the two points, (0,6) and (20,14)

 2/5

Use Functions to Model Relationships

100

Does the relation shown represent a function?

(-2,2), (-7,1), (-3,9), (3,4), (-9,5), (-6,8)

Yes, each input value has a unique output value.

200

A train leave the station at time t=0.  Traveling at a constant speed, the train travels 360 kilometers in 3 hours.  Write a function that relates the distance, d, to the time, t.

d=120t

300

Which functions have the same rate of change?

A) y=0.5x-1                    B) y=4x-7

C) n=0.6r+1                   D) t=0.5n+1

A and D

400

What is a linear function in the form y=mx+b for a line passing through (4.5,-4.25) with y-intercept 2.5?

y=-1.5x+2.5

500

Which term best describes the graph y=-2

increasing, decreasing, constant, positive

Constant

Analyze and Solve Systems of Equations

100

How many solutions does this system is Equations have?

x+3y=0

12y=-4x

Infinite

200

Solve the system of equations: (give answer as an ordered pair)

y=-3x-5

y=9x+7

(-1,-2)

300

Solve

y+1/2x=3

4y+2x=-6

There is no solution

400

Solve

3x-5y=-9

x+2y=8

x=2

y=3

500

Solve

3y-9x=-6

4y-12x=-8

Infinite solutions

Congruence and Similarity

100

The coordinates for triangle DEF are D(4,3), E(7,3), and F(6,8).  If you translate the triangle 4 units left and 3 units up, what are the coordinates of F?

(2,11)

200

The vertices of triangle ABC are A(-5,4), B(-2,4), and C(-4,2). If the triangle is reflected across the y-axis, find the coordinates of the vertex C.

(4,2)

300

The coordinates of the vertices of rectangle ABCD are A(3,-2), B(3,2), C(-3,2), and D(-3,-2).  The rectangle is rotated 90° about the origin.  What are the coordinates of the vertices now?

A(2,3), B(-2,3), C(-2,-3), D(2,-3)

400

A triangle with a perimeter of 13 centimeters is rotated and reflected in the coordinate plane.  What is the perimeter of the resulting image?

13 centimeters

500

When you dilate an image, does that area of the image stay the same?  

No