This document provides a math practice for a final exam, containing questions on topics like: 1) Dividing expressions and evaluating algebraic expressions 2) Writing expressions in exponential form and working with fractions 3) Identifying terms, properties, and solving equations 4) Word problems involving rates, percentages, areas, perimeters, and patterns 5) Choosing correct formulas and expressions to solve missing number problems

1. COLEGIO SAN PATRICIO
Math Practice for Final Exam
School Year 2009 – 2010
I. Divide: (REMEMBER TO USE THE RECIPROCAL)
1)60 ÷ 6 = 40 2) - 2 ÷ 3 = - 1 3)) 81x ÷ 9 = 9
4 8 12
4)6 ÷ 2 = 9 5) 4 ÷ 3 = 2 2/3
3 5 10
II. Evaluate the following algebraic expressions:
6).- ( x – 6)², when x = 12 7).- (y)² + 8, when y = 9 8).- a³, when a = 3
36 89 27
9).- (6n)² , when n = 2 10).- (x – 3)³, when x=8
144 125
III. Write the expressions in exponential form:
6.- (3) (3) (3) = 33 7.- 4x cubed = (4x)3 8.- (a) (a) = a2
9.- five squared = 52 10.- Three to the fourth power = 34
IV. FRACTIONS:
11) How much is missing to have 2 pizzas if I have:
a) 1 = 1 2/3 b) 2 = 11/2 c) 5 = 1/3
3 4 3
12) If 1 of the students already had the presentation today. How many
5
will participate each day in the following 3 days?
Answer: 4/15
13) If Tom already ate ¼ of his delicious Symphony chocolate bar. How much
will each of his four friends get if he wants to share it equally?
Answer: 3 /16
V. Choose the correct word to complete the sentences:
Expression Coefficient like terms term Distributive Property Multiplication Property
14) A number and a variable is a term.
15) The order in which two numbers are multiplied does not change their
Product Multiplication Property.
16) The number that is next to the variable is its Coefficient.
17) Two numbers that have the same variable are Like Terms.
18) Numbers, symbols and operators (such as + and ×) grouped together Expressions.
19) To give something to each member of a group is Distributive Property.
VI. Solve the equation:
20) 60x = 30x + 60 21) 25b = 135 + 15 22) -3 + n = 0 23) x = 4 + 5
6
x= 20 b= 6 n= 3 x= 9

2. 24) 6x + 4 = 2x + 16 25) 3y – 7 = 4²- 11 26) 8x + 4 = 7x + 11 27) 72 + 8 = x + 68
8
x= 3 y= 4 x= 7 x= 96
28) 197 +n = 429 29) 3m + 5 = 21 30) 2x = 28 31) 6d + 8 = 4d + 9
n= 232 m = 16 x = 14 d= 1
3 2
VII. Problem Solving:
31) You put $1000 into an investment yielding 6% annual interest; you left the money in for two
years. How much interest do you get at the end of those two years?
Answer: $120.
32) You invested $500 and received $650 after three years. What had been the interest rate?
Answer: 10%.
33) A recipe for trail mix calls for ½ cup of cranberries, ½ cup of cashews, ¾ cup of raisins, ½ cup of
almonds, 2 ½ cups of granola cereal, and ¼ cup of dried pineapples. How many cups of trail mix
will this recipe make?
Answer: 5 cups
34) Annie ran 4 times around a ½ mile track. Betsy ran 5.5 times around a ¼ mile track. Liana ran 3
times around a 5/6 mile track. Kia ran 4.5 times around a ¼ mile track. Which girl ran the greatest
distance?
Answer: Liana.
35) What is the distance from the edge of a circle to the center called?
Answer: Radius.
36) Alyson buys a display board for her science fair project. The display board measures 30 inches
by 40 inches. What is the area of the board?
Answer: 120 squared inches.
37) What is the perimeter of 5-pointed star when each edge is 6 cm?
Answer: 60 cm.
VIII. Choose the correct answer.
38) Which formula is correct for finding the circumference of a circle?
Answer: C= πd

3. 39) Look at the table below:
x y
10 2
16 8
24 16
32 24
Which expression shows how to find the missing number in the table?
Answer: x – 8
40) Solve 18(16 – 2) = ___
Answer: 252
41) If this pattern continued, how many squares will there be in Figure 4?
42) Solve: 20% of ______ = 130
Answer: 650