Download June 2010

Pre-Algebra Study Guide
Final Exam
June 2010
Lessons 1 – 10 (Lesson number in parentheses)
Vocabulary:
variable
associative property
median
perimeter and area of a triangle
composite
absolute value
commutative property
mode
prime factorization
integer
mean
perimeter and area of rectangle
prime
Types of problems:
1.
Arrange these numbers in order from least to greatest: 6, 0, -4, 9, -8, 8
(1)
2.
Arrange the set of even numbers between –4 and 4 in brackets
3.
What is the product of the quotient of 8 and 2 and the sum of six and four?
4.
5.
Rewrite the expression using the associative property, then evaluate (17 x 2) x 50.
Write and equation for the following word problem: (3)
(1)
(2)
(2)
Ajenae purchases some CD’s. Each CD costs $1.25, and she spends $8.00. How many CD’s did she purchase?
6.
Arrange these fractions in order from least to greatest: 5/6, 1/3, 3/8, 1/2. (5)
7.
Alexis ran 25 yards. How many feet did she run?
8.
The catfish that Mikal caught weighed 6 lb, 4 oz. How many ounces did it weigh?
9.
Breck rode the 100 mile bike race in four hours. What was his average speed in miles/hour? (7)
(6)
(6)
10. In the five 7th grade advisories, there are 19, 16, 17, 17, and 18 students. Find the mean, median, mode and range of
this data set. (7)
11. Find the perimeter and area of the vegetable garden that is 12 feet wide and 14 feet long.
(8)
12. Find the perimeter and area of a right triangle with a base of 6 in., height of 4 in. and hypotenuse of 5 in.
13. Write the prime factorization of a) 255 and b) 68.
(8)
(9)
14. Write a fraction equivalent to 3/8 with a denominator of 16.
(10)
Lessons 11 – 20 (Lesson number in parentheses)
Vocabulary:
perfect square
acute
straight angle
irrational numbers
obtuse
real numbers
perpendicular lines
1.
Write each fraction as a percent and as a decimal. a) 1/6
b) 1/2 c) 3/4
2.
Write each percent as a as a reduced fraction and as a decimal.
3.
Forty percent of the 60 students wanted apple juice. How many students did not want apple juice? (11)
4.
Arrange in order from least to greatest: 1/4, .11, 100%, 15%, 1/8 (12)
5.
Milan calls for a cab that charges a $1.50 fee, plus $2 per mile, She rides in the taxi for 4.5 miles. How much does
Milan have to pay the taxi driver? (14)
a) 66%
(11, 12)
b) 100%
c) 25% (11, 12)
6.
List the first ten perfect squares. (15)
7.
Express with exponents: 3xxxyyyyy. (15)
8.
Which of the following numbers is irrational? (16)
a) the square root of 64 b) the square root of 25
9.
c) the square root of 31
d) the square root of 16
Round each number to the given place. (17)
a) 644.321 to the nearest hundred
b) 0.98574 to the nearest thousandth
c) 13 6/7 to the nearest whole number
10. Classify each angle as acute, obtuse, right or straight. (18)
a) 107
b) 90
c) 18
d) 71.5
11. Classify the triangle by angle and by side. (20)
e) 180
A = 60˚, B = 65˚, C = 55˚; AB = 10, AC = 20,
A
A
B
B
C
Lessons 21 – 30 (Lesson number in parentheses)
Vocabulary:
Pythagorean Theorem
Distributive Property
Order of Operations
1. Two legs of a right triangle are 3 cm and 4 cm. What is the length of the hypotenuse? (Inv. 2)
2. Expand using the distributive property a) 6 (x + 4)
b) -2(3y – 8)
3. Use the order of operations to evaluate: (21)
a) 248  8 x 1 + 4
b) (5 + 4 x 3 + 1)  (9 x 1 – 3)
c) 320  4 x 5
(21)
4. What number is 2/3 of 7/8? (22)
5. What is the reciprocal of 11? (22)
6. Evelyn bought 1.6 pounds of candy that cost of $3.47 per pound. How much money did she spend? (25)
7. Evaluate using the laws of exponents. (27)
a) x4  x6
b) x8
c) (102)4
x3
8. Write each number in scientific notation. (28)
a) 8,237,000
b) 0.000045
9. Write each number in standard form. (28)
a) 7.65 x 10-2 b) 2.56 x 107
10. Arrange in order from least to greatest: 0.6, 2/3, 0.66
(30)
BC = 12
Lessons 31 – 40 (Lesson number in parentheses)
Vocabulary:
square
probability
area of a circle
rectangle
parallelogram
circumference of a circle
Problems:
1. Simplify: a) (–14) + (–14)
2.
b) (-15) + (+5)
Combine like terms: (31)
a) 4x + 2xy + 2x –xy
trapezoid
diameter
c) (15) + (–5)
like terms
radius
d) –15 – (–5)
(31,33)
b) 2a2 + 3b - a2 – 4b
3.
Zion flips a coin twice. What is the sample space for this event? What is the probability that he will flip heads first,
then tails. (32)
4.
Bella has a bag of M & Ms. Three are red, seven are orange, five are blue, and five are brown. What are the
following probabilities? (32)
a) P(blue)
b) P(red or orange)
c) P(green)
5.
Solve: (34) 35 = 7
m 4
6.
The ratio of girls to boys at the Spring Fling was 4 to 3. If the total number of students at the party was 56 , how
many of the partygoers were girls? (34)
7.
Simplify: (–2x2y3)(4xy2) (36)
8.
The diameter of a circle is 10 ft. a) What is the radius?
c) What is the area (in terms of pi)? (39, 40)
b) What is the circumference (in terms of pi)?
Lessons 41 – 50 (Lesson number in parentheses)
1. The coin jar was filled with pennies and dimes in the ratio of 5 to 2, If there are 32 dimes in the jar, how many coins
are there? (45)
2. Spencer can type 126 words in 3 minutes. At this rate, how many minutes would it take him to type 378 words? (49)
Lessons 51 – 60 (Lesson number in parentheses)
Vocabulary: supplementary angles
complementary angles
vertical angles
1. Simplify:
adjacent angles
area of a parallelogram
a) x-1
b) 70x-4y3 (51)
2. A gallon is 128 oz. Convert this measure to pints. (16 oz. = 1 pt) (52)
3. (54)
1
2
3 4
a. Please list all angles congruent to 1.
b. Please list all complementary angles.
c. Please list all vertical angles.
4. What percent of 50 is 38? (58)
5. Leslie made a $2,000 deposit on a $10,000 car. The down payment was what percent of the sales price? (58)
6. What is the area of the parallelogram below? (60)
12 ft.
h = 8 ft.
ft.
6 ft.
Lessons 61 – 70 (Lesson number in parentheses)
1. Solve and graph each inequality on a number line. (62)
a) 2x  14
c) 2x – 2  –12
b) y – 11 ≥ –12
2. Using special right triangles, find: a) the hypotenuse of a 45-45-90 triangle if a leg is 6 inches.
b) the longer leg and hypotenuse of a 30-60-90 triangle if the shorter leg is 3 ft. (66)
Lessons 71 – 78 (Lesson number in parentheses)
1. Convert the following measure using the unit multipliers.
32 lbs/min to ounces/second
(72)
(1 lb = 16 oz.)
2. Simplify and write your answer as a simplified square root. (74)
a) the square root of 90 multiplied by the square root of 5.
b) The square root of 20 multiplied by the square root of 45.
3. Find the area of a trapezoid with bases of 12 in. and 24 inches and a height of 4 inches. (75)
Solving equations
1.
x – 6 = 14
2. 2x + 6 = 16
3. –3x = 27