Pre-Algebra Semester 1 Final Exam Review

Unit 1

100

Which of the following are rational? CHOOSE ALL THAT APPLY.

a.  4.125

b.  pi 

c.  8/5 

d.  sqrt64 

A,C,D

200

What two integers is  sqrt 78  between?

8 and 9

300

What is the approximation of  sqrt53 ?

7.3

400

What is the approximation of  3sqrt15 ?

11.7

500

A cubic box has a side length of 4 centimeters. Determine the volume of the box. 

64 cm³

600

A cubic box has a volume of 27 cubic feet. What is the area of one side of the box in feet²?

9 feet squared

Unit 2

100

Simplify:

 8^7 * 8^-12  

1/8^5

200

Simplify:

 15x^-3  

15/x^3

300

Convert the following to standard notation. 

6.3 times 10^5 

630,000

400

Convert the following to scientific notation.

0.0041

4.1 times 10^-3

500

Simplify:

 (-8x^9)/(16x) 

-x^8/2

600

(3x^-6)^-2

x^12/9

700

Write the number 15 thousandths in scientific notation

1.5 times 10^-2

Unit 3

100

Simplify the following expression.

4-2(x+11)+8x

6x-18

200

Solve the following equation.

-33=4x-9+4(x-2)

x=-2

300

Solve the following equation.

5=(x-2)/4 

x=22

400

Solve the following equation.

-2/5(x+10)=6

x=-25

500

Solve the following equation.

2(3x-2)+7=6x+3

IMS

600

Solve the following equation.

2(x-4)+3=-2x-5

x=0

700

Mr. Parola and his brother have a combined height of 243 centimeters. Mr. Parola is twice the height of his brother. How tall is Mr. Parola?

162 cm

Unit 4

100

Coordinate B is at the point (-2,-2). After a translation right 4 and down 1, where are the coordinates of B' ?

(2,-3)

200

The coordinates of A are at (5,-8). Where are the coordinates of A' after a reflection across the y-axis? 

(-5,-8)

300

The coordinates of C are at (9,-4). Where are the coordinates of C' after a rotation 180 degrees about the origin? 

(-9,4)

400

State the three notations used for translations.

Point (displacment)

Arrow

Words

500

The coordinates of D are at (-4,2). After a rotation 90 degrees counter-clockwise about the origin, where are the coordinates of D' ? 

(-2,-4)

600

The coordinates of E are at (-9,4). After a dilation, the coordinates of E' are at (-13.5,6). What was the scale factor?

1.5

Miscellaneous

100

List the 4 things we know about congruence?

Same Shape

Same Size

Same Side Lengths

Same Angle Measures

200

Simplify the following expression.

(-3)^6 * (-3)^2 *(-3)^10

(-3)^18

300

Solve the following equation.

4/3x+8=10

x=3/2

400

Write the following number in scientific notation.

8.45

8.45 times 10^0

500

Solve the following equation.

3x^2 -4=8

x=+-2

600

Write an equation for the following verbal description.

Three less than four times a number is the same as the difference of a number and 7.

4x-3=x-7