8th grade Final Review (Units 4-6)

Number System and Equations

100

Rational or irrational?

sqrt45

Irrational

200

Estimate to the nearest 100th

3+sqrt27

8.20

300

Solve the equation

8x + 2-6x=-18

8x + 2 - 6x = -18

2x + 2 = -18

2x = -20

x = -10

400

Solve the equation

4(2x-7)=3x+2

8x - 28 = 3x + 2

5x = 30

x = 6

500

Solve the equation

2(3x+5)=3(2x-1)

No Solution

6x+10=6x-3

Transformations

100

Under which transformation does the size change?

Dilation

200

Reflect the point A(4, 8) over the y-axis

A'(-4, 8)

300

What is the translation rule that mapped point B(2, 7) onto B'(5, 3)

3 units right and 4 units down

400

Triangle X(3, 1) Y(-3, 1) Z(2, -4) was dilated by a scale factor of 2. State the points of X'Y'Z'

X'(6, 2) Y'(-6, 2) Z'(4, -8)

500

If point C(5, 2), what are the coordinates of the point C', after a counterclockwise rotation of 90 degrees.

C'(-2, 5)

Linear Equations

100

Identify the slope and the y-intercept of the equation

y = -2/3x+5

m= 2/3; b = 5

200

Identify the domain and the range of the function

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

Domain (x's): 1, 4, 2, 5, 8

Range (y's): 3, 6, 1, 9

300

What is the slope of the line that passes through the points (4, 2) and (10, 5)?

(2-5)/(10-4)=-3/6=-1/2

400

Find the slope of the line given the table below

m = 1

500

Write the equation of the line shown below

y = 1x - 3

Exponents and Scientific Notation

100

Write 0.00045 in Scientific Notation

4.5*10^-4

200

Simply. Write your answer in exponential form

2^3*2^-5

2^-2

300

What is the product in scientific notation

(3.2*10^3)(5.1*10^-12)

1.632*10^-8

400

Simply and write in standard form

(4^3*4^5)/4^9

1/4

500

Fill in the missing exponent

6^5=6^3*6^x

x = 2

Angle Relationships

100

< A and < B are complementary. m < A = 75, what is the m < B?

m < B = 15

200

A triangle has angle measures of 33 and 65 degrees. What is the measure of the third angle?

33 + 65 = 98

180 - 98 = 82

300

What is the relationship between < 2 and < 3 in the diagram below?

Adjacent and Supplementary

400

What is the relationship between the angles in the diagram below, and what is the value of the missing angle?

Corresponding and 60

500

Find the missing leg to the right triangle below use

a^2+b^2=c^2

a^2+8^2=10^2

a^2+64=100

a^2=36

a=6