Practice Sheet #31Name:
Date: Period: Show all work for every problem. NO CALCULATORS!
1. If a computer can do a simple calculation in 0.0000006 of a second, how long would it take the computer to do 9 trillion calculations? Express the answer in scientific notation. / 6. In the election for mayor, 24% of the eligible voters voted for Howard, 32% voted for Johnson, and 17% voted for Black. What percent of the eligible voters voted?2. American children watch and average of 5.3 hours of television each day. How many hours of television would American children watch in 30 days? / 7. Len was 3 feet 10 inches tall on his fifth birthday but today he is 5 feet 4 inches tall. How much has he grown since he was 5 years old?
3. Draw the front/back view of the arrangement of cubes below. / 8. Marks's batting average is 0.122. If he triples this average, what will be his new average?
4. Find the surface area of the given figure, round your answer to the nearest whole number. / 9. The wholesale price of a 4-inch bolt is $0.06 each. If the price marked on a box of these bolts at a wholesale outlet is $42.90, how many bolts does the box contain?
5. Monthly rainfall for June through December was recorded as 3.3 inches, 4.0 inches, 2.3 inches, 1.2 inches, 1.9 inches, 2.1 inches, and 1.2 inches. What was the median rainfall? / 10. A cube is used to hold sand for a cactus plant. If the cube is 6 inches on each side, what is the volume of sand that will fit in the pot?
11. Find the approximate value of y using the similar figures. / 16.
a) Draw a square with as a side.
b) The area of the square is ______.
c) The exact length of side AB is _____.
12. Alvin, Simon, and Theodore are salespeople. Alvin sold 8 video games and Simon sold 10. If the average number of video games sold is 9, which equation represents how many video gams (n) Theodore sold?
a)(8 + 10 + n) 3 = 9
b)(10 - 9 + 8)n = 9
c)8 + 9 = 10n
d)10 9 = 8 + n
e)not here / 17. This rectangle has a perimeter of 40 meters and a side of length l meters.
Express the lengths for the other sides in terms of l.
13. Tom's boss said that he has given Tom salary increases of $3,000 or more at least four times during a 25-year period. Use the graph to determine if Tom's boss is correct. / 18. Use the rectangle in problem 17 to write an equation for the area, A, in terms of l.
14. Calculate the product.
-7 x -8.3 / 19. Simplify.
2r + 1.2r + r
15. Find three points on the graph of y=6-2x and draw the graph. / 20. Evaluate.
15 - (4x + 2) x when x = 3
Practice Sheet #32Name:
Date: Period: Show all work for every problem. NO CALCULATORS!
1. Between which two integers does lie? / 6. Victor wrapped 3 packages. He used feet, feet, and feet of ribbon to make bows for the packages. How much ribbon did he use?2. An Olympic athlete runs 7.2 miles a day as part of his training. How many miles does he run in two (7 day) weeks? / 7. When Rene was 14 years 6 months old, he first met his friend Jim. If he is now 19 years 2 months old, how long has he known Jim?
3. Draw the side/end view of the arrangement of cubes. / 8. Allen's recipe calls for ½ cup sugar. If Allen decides to make ½ the recipe, how much sugar will be needed?
4. Find the volume of the figure. / 9. Ann works at a bakery and earns $4.80 per hour. If her overtime pay is 1½ times this amount, how much is her overtime-hourly pay?
5. Meg's quiz grades in history are 75, 82, 78, 95, 78, 83, and 78. What is the mode of the grades? / 10. The math department at Plano West Senior High has 19 sets of compasses. If they are 32 compasses in each set, approximately how many compasses does the math department have?
a)550d)700
b)600e)750
c)650
11. A microwave oven has a square base with sides equal to 12 inches. What is the diagonal of the base? Round your answer to the nearest tenth. / 16. Every number has 2 square roots. Give both square roots of each number.
a) 1b) 2c) 4
d) 8e) 16f) 32
12. 100 people were asked where they spend their summer vacation. The results were summarized in the diagram.
Which of the following conclusions can be drawn from the diagram?
a) 50 people went to both FL and CA
b) No one went to both FL and CA
c) 150 people went to CA
d) 40 people went to places other than FL or CA
e) The number of people who went to both places cannot be determined from the diagram. / 17. Find the maximum area for a rectangle with a perimeter of 20 meters. Include a table of lengths and areas for rectangles of 20 meters using increments of 5 meters for length.
13. Tom's boss said that he has given Tom salary increases of $3,000 or more at least four times during the past 25 years.
Use the graph to determine if Tom's boss has misused the data to make his statement. / 18. Using this bacteria growth table, which rule describes the growth?
Day, d 0 1 2 3
Bacteria, b 1 3 6 9
a) b = 3db) b = d3c) b = 3d
14. Calculate the quotient.
-3 -12 / 19. Evaluate.
5 + 3(52 - x) - 18 9 when x = 3
15. Circle the table that represents a linear relationship and explain why.
X .5 1 3 4 x 1 4.5 5 10
Y .25 1 9 16 y 8 5.5 5 0 / 20. Write 8h - 24 in factored form.
Practice Sheet #33Name:
Date: Period: Show all work for every problem. NO CALCULATORS!
1. Write in standard form:2.81168 x 10-3 / 6. Javier practiced his horn 6-hrs 27-min this week and Kathy practiced her clarinet 11 hrs 23 min. How much longer did Kathy practice than Javier?
2. Ben made 20% of the free throws that he attempted. If he made 16 of the free throws that he attempted, how many free throws did he attempt? / 7. Janice bought 8½ yards of wallpaper trim for a room. How much will be needed for 4 rooms the same size as the first room?
3. Draw the top/bottom view of the following arrangement of cubes. / 8. A can contains 14.3 fluid ounces of juice. If 6 people split the juice, about how much will each receive? (Round to the nearest whole number)
4. A ladder is leaning against the side of a building. The ladder is 3 feet away from the building and touches the building at a point 4 feet from the base. How long is the ladder? / 9. If the dimensions of rectangle ABCD are reduced by 50%, what will be the change in the perimeter of the rectangle?
5. Willie made calls to 3 members of the sophomore class. If the calls were 4 min 49 sec, 8 min 13 sec, and 7 min 21 sec, what was the total time he spent on the phone? / 10. A survey of 60 high school students is summarized in the table. If the high school has 420 students, what is a good prediction for the number of students who prefer pizza?
Food Preference
Food number of students
enchiladas 5
fried chicken 10
hamburgers 15
pizza 20
spaghetti 4
tacos 6
11. A highway bridge is anchored to the ground by a right triangle. How long is the embankment labeled x? Round your answer to the nearest whole number. / 16. Describe the relationship between the areas of the squares using numbers.
12. Which is an equation of line l?
a)x = 4b)x = -4
c)y = 4d)y = -4 / 17. This table contains data for rectangles with a fixed perimeter.
Length of a Area (m2)
Side (m)
0 0
1 6
2 10
3 12
4
5
6
7
- Copy and complete the table.
- What is the fixed perimeter for this table?
13. Which of the following would provide a random sample that is not biased to find out the favorite sport of all 8th graders in Plano?
a) Surveying every 8th grader who has season tickets to the Dallas Cowboys games
b) Surveying every 5th student that enters the 8th grade classroom of each school in Plano
c) Surveying each member of the boys 8th grade baseball team
d) Surveying the all the girls on Plano 8th grade basketball teams whose favorite color is green / 18. Complete the table showing the relationship between the edge length and the volume of a cube.
The formula for this relationship is:
a) V = 3lb) V = 3lc) V = l3
14. Calculate the product.
x / 19. Evaluate
5x2 - x3 + 2x when x = 3
15. Write the rule that relates p to q for this relationship. / 20. Josh has 4 bags of blocks. He removes 3 blocks from each bag. Write 2 expressions, one in factored form and the other in expanded form, for the total number of blocks in the bags now.
Practice Sheet #34Name:
Date: Period: Show all work for every problem. NO CALCULATORS!
1. Write 0.42 as a fraction and a percent. / 6. Jimmy bought 2 model airplanes for $4.79 each, a computer game for $19.95, and a board game for $7.85. How much did these items cost?2. Mary has an after-school job earning $5.50 per hour. Write an equation representing the amount (A) Mary's pay would be after (n) hours. / 7. Mrs. Hudson's monthly salary was $1,232.45. After she received a raise, her salary was $1425.60. What was the amount of increase?
3. The building is a scale model of a new building.
Blocks measuring 2 in. by 2 in. by 1 in. have been used to make this scale model. One block has been shaded. The new building is 100 feet tall. How wide is the building?
/ 8. Maria sold a building valued at $180,000. If she receives a commission of 3½%, how much money will she earn?
4. Two ladders are
leaning against a wall
at the same angle as
shown. How far up the
wall does the shorter
ladder reach? / 9. A class must meet 42 hours a semester. If each class is hours long, how many class sessions will there be?
5. Use the information on the given table to construct a circle graph. / 10. The causes for
employee absences
at one corporation
are shown.
Approximately what percent of the employee absences was due to allergies?
a) 10%c) 16%
b) 12%d) 18%e) 20%
11. What is the probability
of the spinner landing on
an odd number? / 16. Use the Pythagorean Theorem to find the length of the leg.
12. Which equation could be used to solve the problem?
Tom had $25. He bought himself a hot dog for $1.95 and each of his 3 nephews a hamburger. If he has $16.60 left, what was the price of a hamburger (h)?
a) 25 (1.95 -3h) = 16.6
b) 16.60 - 1.95 + 3h = 25
c) 1.95 + 25 - 3h = 16.60
d) 16.6 + 1.95 + (3 H) = 16.6
e) 25 - 1.95 - 3h = 16.6 / 17. The graph shows the length and area data for rectangles with a fixed perimeter.
What are the dimensions of the rectangle with this perimeter and an area of 8 square meters?
13. As a waiter, Chris earns between $8.25 and $15.75 per hour. Which of these is a reasonable amount Chris would earn for an 8-hour shift?
a) between $30 and $70
b) between $70 and $120
c) between $120 and $150
d) between $150 and $200
e) between $200 and $300 / 18. Jane noticed a new plant growing her backyard fishpond and recorded its growth for 4 weeks.
- By what number do you multiply each plant number to get the next?
- Which rule describes the number of plants in the pond after W weeks?
14. Calculate the quotient.
/ 19. A rectangular box has length L, width W, and Height H. Write two expressions for the surface area of the box.
15. Write the rule that relates m and n in the table.
slope =y-intercept = / 20. Write two expressions equivalent to
2(2 - 8x) + 3(x + 5).
Practice Sheet #35Name:
Date: Period: Show all work for every problem. NO CALCULATORS!
1. List the following numbers in order from least to greatest./ 6. A community theatre group has 20 members. Most of the members are 16 years old. What statistical measure does this statement represent?
2. Write an equation that is represented by the pattern.
x: -3, -2, -1, 0, 1
y: 7, 4, 1, -2, -5 / 7. Gus is only 4 feet 7 inches tall, but his brother is 5 feet 2 inches tall. How much shorter is Gus than his brother?
3. On the graph, plot four points whose y-coordinates are 2 more than their x-coordinates. / 8. The property tax rate for a city is 0.5%. If a home is valued at $100,000, what is the amount of tax owed?
4. A 25-foot ladder is
leaning against the side
of a building. The ladder
is 7 feet from the building.
How far from the ground
is the point at which the
ladder touches the building? / 9. A piece of ribbon is 12½ inches long will be divided into equal strips ½ inch long. How many pieces can be made?
5. To make a cabinet, Juanita bought yards of pine that costs $4.95 a yard and yards of plywood that costs $3.55 a yard. How many yards of wood did Juanita buy? / 10. According to the chart, women with 4 years of college (16 years total) earn approximately ____ the salary of women who have 9-11 years of education.
11. A tree casts a shadow 30 feet long. The distance from the top of the tree to the end of the shadow is 50 feet. How tall is the tree? / 16. In the picture,
a, b, and c are all sides
of a right triangle. The
area of the largest square
is 36u2. The middle-sized
square has an area of 20u2.
- What is the area of the
- What is the side length of a?
12. 100 students were
asked which course in
high school was their
favorite. By looking at
the graph, is the
statement a reasonable
conclusion?
Students surveyed like algebra more
than history. / 17. Write an expression for the area of the diagonally shaded area.
13. A group of young adults were asked to name their favorite sport. If 1550 people were polled, what is a reasonable estimate of the number who prefer baseball?
a) under 100
b) between 100 and 200
c) between 200 and 300
d) between 300 and 400
e) over 400 / 18. The table shows the growth of the Humpback whale population off the coast of Australia. Write the equation for the number of whales, n, for x years after the study began in 1981.
14. Calculate the product.
x / 19. Evaluate
8x - 2x(6 - x) when x = 6.
15. Tanner and Tyler collect baseball cards. They went to a store and bought cards. Tanner bough 5 packs and 3 singles. Tyler both 11 singles and 4 packs. The packs of cards all contain the same number of cards. They each bought the same number of total cards. How many cards are in a pack? / 20. Solve.
4.5(x + 1) + 2(x + 1) = 0
Practice Sheet #36Name:
Date: Period: Show all work for every problem. NO CALCULATORS!
1. The following numbers are ordered from least to greatest. In which figure does 0.12 belong? / 6. Delia bought gas at 3 stations on her trip. If she pursed 12.3 gallons, 11.8 gallons, and 6.4 gallons, how many gallons of gas did she buy?2. Graph the equation y = ½x + 2. / 7. Thien had $1934.15 in his new car savings account before he deposited part of his paycheck. If he now has $2172.11 in his account, how much money did Thien deposit?
3. The building below is a scale model of a new building. What geometric shape does the building represent?
/ 8. A Cray supercomputer can process data at the rate of 2.0 x 108 operations per second. If a new machine is twice as fast as this one, how may operations per second can the new machine perform? Write your answer in scientific notation.
4. If you double the dimensions of the rectangle below, the perimeter of the resulting figure would be _____ times the perimeter of the original figure? / 9. A bottle contains 24.5 fluid ounces of soda. If 5 children split the drink, about how much will each receive?
5. If you double the dimensions of the rectangle below, the area of the resulting figure would be _____ times the area of the original figure? / 10. The population of
the four largest cities
in Texas increased
between 1980 and 1990.
Which two cities had
populations in 1980
that together
approximately
equaled that of
Houston in 1980?
11. Belinda tossed 52 pennies into the air. How many coins would you predict landed heads up? / 16. Is the triangle with side lengths , 10 and a right triangle? Show why or why not.
12. Which equation best describes the graph?
a) y = 2x + 3
b) y = x + 3
c) y = -2x +
d) y = -x + 3
e) y = -2x + 3 / 17. Draw and label a rectangle whose area is represented by 5(x + 1).
Write an equivalent expression in expanded form.
13. A city library contains 810,250 books divided equally among 10 branches. What is a reasonable estimate of the number of books in each branch?
a) 81,000d) 160,000
b) 95,000e) 810,000
c) 98,000 / 18. Each expression is equal to one of the others. Find the matching pairs.
a) 25 b) c x c x c
c) 2 x 5 d) 2 x 2 x 2 x 2 x 2
e) c + c + c f) 52
g) 5 x 5 h) c3
i) 5 + 5 j) 3c
14. Calculate the quotient.
/ 19. Evaluate
(x + 7)(x -2) when x = -6
15. The rule d=45t + 3 represents Carlos' distance from home at any time since he left the gas station. (When t=0, Carlos was at the gas station.)
- What is the y-intercept in the equation?
- What does it tell you about the problem?
PS8_#31_36.doc