1. The document is a math practice worksheet for a 3rd period exam at Colegio San Patricio school year 2010-2011. 2. It contains practice problems in various math topics including converting between binary and decimal numbers, ordering numbers on a number line, evaluating algebraic expressions, solving equations, applying the distributive property, combining like terms, and solving equations using integer rules. 3. The worksheet has 12 sections with multiple practice problems in each section for students to complete.

1. COLEGIO SAN PATRICIO
Math Practice for 3rd Period Exam
School Year 2010 – 2011
Name: _________________________ Date: ____/____/____ L.N.: ____ 7th: ____
Binary System
I. Convert each decimal number to the binary number it represents.
48 = 104 =
II. Convert each binary number to the decimal number it represents.
1110010 = 10101 =
The Number Line
III. Write the missing numbers.
IV. Order the next numbers in the number line.
0 0.50 1 1½ 1.25 2

2. Verbal Phrases and Algebraic Expressions.
V. Answer the next problems.
Is it correct?
1. 2x + 6 = 12 ______________ Two times a number, plus six is
twelve.
2. (5) (6) − x = 25 ______________ Five times the difference of six
and a number is twenty five.
3. 8(4 + 9) = 104 ______________ Eight times the sum of four and
nine is one hundred four.
VI. Write each as an algebraic expression.
1. The difference of 10 and 5 _____________________
2. The quotient of 14 and 7 _____________________
3. u decreased by 17 _____________________
4. The product of x and 7 _____________________
5. Twice q _____________________
Problem Solving Using Algebraic Equations.
VII. Solve.
1. If 2/3 of the pizza are left, what part will you and your two friends get?
2. There are 36 donuts in a box. Each donut is either chocolate or
cinnamon. There are 6 fewer chocolate donuts than cinnamon. Let x
be the number of cinnamon. Underline the correct expression.
a) x+x −6 =36 b) x+x(x−6)=36 c) x−6=36
3. My brother will be forty years old in forty years. Let b be the age of my
brother now:

3. a) 40 −b =4 b) b+4 = 40 c) b−4 = 40
4. Donna got 84 in a quiz, which includes 5-point bonus. Let x be the
grade she would have had without the bonus.
a) x −84 = 100 b) x − 5 = 100 c) x + 5 = 84
VIII. Write an equation.
1. I have to check 90 exams. I have checked 35. How many exams am I
missing?
2. One trip is ¾ kms. If we decide to take 6 trips, how many kilometers
are we going to travel?
Distributive Property.
IX. Apply the Distributive Property.
1. −6(a+8) 2. 6(−5n+7) 3. (1+9x)(-4x) 4. 7m(m-9)
Combining Like Terms

4. X. Simplify the expression. (Order it, then combine like terms, and
simplify).
1. 2. 3.
Equations
XI. Find the value of the variable.
1. 2. 3. 4.
Checking Process Checking Process Checking Process Checking Process
3. 20 5. 7. 8.
Checking Process Checking Process Checking Process Checking Process
XII. Solve using the integers rules.
1. 7- (+8) – 5 2. 45 (-5) + |6| 3. 4 + (-5) 4. 5 – (-5+8)