Final Exam Prep (MATH 205)

Acute

A boat sail is triangular. The measure of one angle of the triangle is 88°. The measure of another angle of the triangle is 16°. The measures of all three angles have a sum of 180°. Which term correctly describes the triangle modeled by the boat sail? SECTION 10.4

82 sq in

A circular plate has circumference 32 inches. What is the area of this plate? (Use 3.14 for pi) INCLUDE A UNIT - FORMAT "SQ IN" SECTION 12.6

421.2 sq in

A piece of fabric for a quilt design is in the shape of a parallelogram. The base is 6 in and the height is 2.6 in. What is the total area of the 27 parallelogram pieces needed for the quilt? INCLUDE UNITS - FORMAT "SQ IN" SECTION 12.4

56 ft

A polygon has sides of length 12 feet, 10 feet, 9 feet, 14 feet, and 11 feet. Find its perimeter. INCLUDE UNITS SECTION 11.2

328 sq ft

A rectangular kitchen floor measures 18 feet by 20 feet. A stove on the floor has a rectangular base measuring 3 feet by 4 feet, and a refrigerator covers a rectangular area of the floor measuring 4 feet by 5 feet. How many square feet of tile will be needed to cover the kitchen floor not counting the area used by the stove and the refrigerator? INCLUDE UNITS - FORMAT "SQ FT" SECTION 12.2

718.75 sq ft, 9 gallons, $161.91

A room is 13 ft by 19 ft. It needs to be painted. The ceiling is 8 ft above the floor. There are two windows in the room, each one is 3 ft by 4 ft. The door is 2.5 ft by 6.5 ft. a. Find the area of the walls and ceiling to be painted. b. One gallon of paint covers 87.27 sq ft. How many gallons are needed to paint the room? c. At $17.99 a gallon, what is the cost to paint the room? SEPARATE ANSWERS WITH A COMMA & INCLUDE UNITS - FORMAT "SQ FT" FOR PART A SECTION 12.1

30x + 19y

A team is ordering sweatshirts and sweatpants for its players. Each sweatshirt costs $30 and each pair of sweatpants costs $19. Write an algebraic expression to represent the total cost if x players want sweatshirts and y players want sweatpants. SECTION 9.2

388 mi

A truck, moving continuously, averages 57.5 mph for 6.75 hr. How far does it travel during this time? REMEMBER UNITS SECTION 11.3

9.5 in

Add 3.26 in. + 3.5 in. + 2.7 in. and round your answer to the correct precision. REMEMBER UNITS SECTION 11.3

Straight

An angle whose measure is 180° is called a(n) ________ angle. SECTION 10.1

2 + 3m, $23

Bruce is taking a taxi to the airport. The taxi charges an initial fee of $2 and then $3 per mile. Write an algebraic expression for the cost of a taxi ride of m miles. Then evaluate the expression to find how much a 7-mile taxi ride would cost Bruce. SEPARATE ANSWERS WITH A COMMA SECTION 9.2

sq m, sq yd

Choose the most appropriate metric units (cm², m², or km²) and English units (in.², yd², or mi²) for measuring each of the following. Area of a basketball SEPARATE ANSWERS WITH A COMMA - FORMAT "SQ IN", METRIC FIRST SECTION 11.1

sq cm, sq in

Choose the most appropriate metric units (cm², m², or km²) and English units (in.², yd², or mi²) for measuring each of the following. Area of a bottle cap SEPARATE ANSWERS WITH A COMMA - FORMAT "SQ IN", METRIC FIRST SECTION 11.1

sq cm, sq in

Choose the most appropriate metric units (cm², m², or km²) and English units (in.², yd², or mi²) for measuring each of the following. Area of a ceiling tile SEPARATE ANSWERS WITH A COMMA - FORMAT "SQ IN", METRIC FIRST SECTION 11.1

sq m, sq yd

Choose the most appropriate metric units (cm², m², or km²) and English units (in.², yd², or mi²) for measuring each of the following. Area of the floor of your classroom SEPARATE ANSWERS WITH A COMMA - FORMAT "SQ IN", METRIC FIRST SECTION 11.1

17/4x + 7/4y

Combine like terms to simplify the following expression. 4x + 3/4y + 1/4x + y SECTION 9.2

C, $4700

Company A pays $26,000 yearly with raises of $1,500 per year. Company B pays $28,500 yearly with raises of $700 per year. Which company will pay more in year 10? How much more? a. Both companies pay the same b. Company B pays more c. Company A pays more d. There is not enough information SEPARATE ANSWERS WITH A COMMA SECTION 9.5

19

Complete the equation to make it true. 5 + 7 + 19 = 12 + ____ SECTION 9.4

207 sq ft

Convert 23 square yards to square feet. INCLUDE UNITS - FORMAT "SQ FT" SECTION 11.4

C = 43.98 ft, A = 153.94 sq ft

Determine the area and the circumference of a circle with a diameter of 14 ft. SEPARATE ANSWERS WITH A COMMA & INCLUDE A UNIT WITH YOUR ANSWER (C = ... ft, A = ... sq ft) SECTION 12.8

2, 4, -9

Determine the coefficients of each variable term in the given expression. 2a³ + 4a² - 9a - 6 SECTION 9.2

59 mph

Divide 455 mi / 7.7 hr. REMEMBER UNITS SECTION 11.3

3

Evaluate (3y - 9) / x for x = 3 and y = 6. SECTION 9.2

9/28

Evaluate the given expression: 21/28 * 12/28 SECTION 9.1

620

Fill in the blank for the following conversion: 0.62 kg = __ g *DO NOT INCLUDE UNIT IN YOUR ANSWER SECTION 11.1

0.274

Fill in the blank for the following conversion: 274 mg = __ g *DO NOT INCLUDE UNIT IN YOUR ANSWER SECTION 11.1

58.953

Fill in the blank for the following conversion: 58,953 g = __ kg *DO NOT INCLUDE UNIT IN YOUR ANSWER SECTION 11.1

1000

Fill in the blank for the following conversion: A cubic meter of water weighs ___ kg *DO NOT INCLUDE UNIT IN YOUR ANSWER SECTION 11.1

6079.04 sq m

Find the area of a circle with a diameter of 88 m. INCLUDE UNITS - FORMAT "SQ M" SECTION 12.6

25 pi, 78.5 sq in

Find the area of a circle with a radius of 5 in. Give an exact answer (in terms of pi) and an approximation to two decimal places using 3.14 for pi. SEPARATE ANSWERS WITH A COMMA & INCLUDE A UNIT WITH THE EXACT ANSWER - FORMAT "SQ IN" SECTION 12.6

74.2 sq km

Find the area of a parallelogram with a base of 10.6 km and a height of 7 km. INCLUDE UNITS - FORMAT "SQ KM" SECTION 12.4

122 sq m

Find the area of a parallelogram with a base of 16 m and a height of 7 m. INCLUDE UNITS - FORMAT "SQ M" SECTION 12.4

7.875 sq ft

Find the area of a parallelogram with a base of 2 & 1/4 ft and a height of 3 & 1/2 ft. INCLUDE UNITS - FORMAT "SQ FT" SECTION 12.4

102.6 sq m

Find the area of a rectangle whose length is 11.4 m and width is 9 m. INCLUDE UNITS - FORMAT "SQ M" SECTION 12.1

15 sq mi

Find the area of a rectangle whose length is 6 mi and width is 2.5 mi. INCLUDE UNITS - FORMAT "SQ MI" SECTION 12.1

110.5 sq in

Find the area of a triangle with a base of 17 in. and a height of 13 in. INCLUDE UNITS - FORMAT "SQ IN" SECTION 12.3

187 sq cm

Find the area of a triangle with a base of 22 cm and a height of 17 cm. INCLUDE UNITS - FORMAT "SQ CM" SECTION 12.3

14 pi

Find the circumference of a circle in centimeters with a diameter of 0.14 m in terms of pi. SECTION 12.6

24 pi

Find the circumference of a circle with a radius of 12 mi in terms of pi. SECTION 12.6

10 pi, 31.4 in

Find the circumference of a circle with a radius of 5 in. Give an exact answer (in terms of pi) and an approximation to two decimal places using 3.14 for pi. SEPARATE ANSWERS WITH A COMMA & INCLUDE A UNIT WITH THE EXACT ANSWER SECTION 12.6

47.6 yards

Find the diameter of a circle with a radius of 23.8 yards. *DON'T FORGET YOUR UNIT SECTION 10.3

3

Find the equivalent length. 1 yd = __ ft *DO NOT INCLUDE UNIT IN YOUR ANSWER SECTION 11.1

22

Find the indicated term for the arithmetic sequence with first term, a1, and common difference, d. Find a6, when a1 = -8, d = 6. SECTION 9.5

P = 40 ft, A = 96 sq ft

Find the perimeter and area of a quadrilateral with a length of 12 ft and a width of 8 ft. SEPARATE ANSWERS WITH A COMMA & INCLUDE A UNIT WITH YOUR ANSWER (P = ... ft, A = ... sq ft) SECTION 12.8

P = 48 in, A = 144 sq in

Find the perimeter and area of a quadrilateral with a length of 12 in and a width of 12 in. SEPARATE ANSWERS WITH A COMMA & INCLUDE A UNIT WITH YOUR ANSWER (P = ... in, A = ... sq in) SECTION 12.8

P = 50 in, A = 40 sq in

Find the perimeter and area of the parallelogram with a height of 2 in, a base of 20 in and a side length of 5 in. SEPARATE ANSWERS WITH A COMMA & INCLUDE A UNIT WITH YOUR ANSWER (P = ... in, A = ... sq in) SECTION 12.8

33 ft

Find the perimeter of a figure with side lengths of 4 ft, 7 ft, 5 ft, 5 ft, and 12 ft. INCLUDE UNITS SECTION 11.2

5/243

Find the term a6 for the geometric sequence with first term, a1 = 5, and common ratio, r = 1/3. SECTION 9.5

432 sq ft, 54

Gary's garden is in the shape of a triangle with a base of 36 ft and a height of 24 ft. Gary has plants that require 8 square feet each to grow properly. What is the area of the garden? What is the greatest number of these plants that Gary can fit into the garden? SEPARATE ANSWERS WITH A COMMA & INCLUDE A UNIT WITH PART A - FORMAT "SQ FT" SECTION 12.3

-6

Identify the constant terms in the given expression. 2a³ + 4a² - 9a - 6 SECTION 9.2

4, (x + 8)

Identify the factors in the following algebraic expression. 4(x + 8) SEPARATE ANSWERS WITH A COMMA SECTION 9.2

1/12

If a recipe for a batch of cookies calls for 7/12 cup of powdered sugar, how much powdered sugar is needed to make only 1/7 of a batch? SECTION 9.1

2(x + 6) + 2x = 60

If the perimeter of a rectangle has a length of x + 6, a width of x, and a perimeter of 60 inches, write an equation for which the solution gives the value of x. Do not solve the equation. SECTION 9.3

x + 10 = 3x - 9

In 10 years, a child's age will be 9 years less than triple her current age. Write an equation for which the solution gives the child's current age. Use the variable x to represent any unknown quantity. Do not solve the equation. SECTION 9.3

37

In a bag of mixed nuts, there are 36 almonds, 31 hazelnuts, 38 walnuts, and p pistachios. The bag has a total of 142 nuts. How many pistachios are in the bag? Use a balance scale to solve the equation 36 + 31 + 38 + p = 142 to find the number of pistachios. SECTION 9.4

Unit

In addition or subtraction problems, only quantities having the same ____ can be added or subtracted. SECTION 11.1

Yes

Is the following a property of squares? (answer yes or no) All sides are the same length. SECTION 10.4

Yes

Is the following a property of squares? (answer yes or no) Both pairs of opposite sides are parallel. SECTION 10.4

No

Is the following a property of squares? (answer yes or no) Exactly one pair of opposite sides are parallel. SECTION 10.4

Yes

Is the following a property of squares? (answer yes or no) The shape has four right angles. SECTION 10.4

Yes

Is the following a property of squares? (answer yes or no) The shape has four sides. SECTION 10.4

34 - y

Lindsey has 34 coins in her change purse that are either dimes or quarters. If y represents the number of quarters she has, write an expression in terms of y that describes the number of dimes. SECTION 9.2

425.3 g

Make the indicated conversion between American and metric units of weight and mass. Round to the nearest tenth as needed. 15 ounces to grams INCLUDE UNITS SECTION 11.4

5600 lb.

Make the indicated conversion within American units of weight. A truck has a weight capacity of 2.8 tons. What is the hauling capacity in pounds? INCLUDE UNITS SECTION 11.4

4.8 sq ft

Multiply 2.0 ft * 2.403 ft. REMEMBER UNITS - FORMAT "SQ FT" SECTION 11.3

21 m

Perform the conversion between American and metric units of length and round to the nearest tenth. 23 yards to meters INCLUDE UNITS SECTION 11.4

7 ft 3 in

Perform the conversion within American units of length. 87 in. = ___ft ___in INCLUDE UNITS IN YOUR ANSWER SECTION 11.4

0.639 m

Perform the conversion within metric units of length. 639 millimeters to meters INCLUDE UNITS SECTION 11.4

.03712 sq m

Perform the conversion. 371.2 cm² to m² INCLUDE UNITS - FORMAT "SQ M" SECTION 11.4

9810

Perform the conversion. 9.81 kg = ___g DO NOT INCLUDE UNITS SECTION 11.4

-21

Simplify 2 - 5 * 8 + 17 SECTION 9.1

34

Simplify 9 + (3 - 8)² SECTION 9.1

2

Solve 3x - 3 = 3 SECTION 9.4

3.7

Solve p + 4.9 = 8.6 SECTION 9.4

Nearest Dollar

State the implied precision of 2667 dollars per acre. SECTION 11.3

4

State the number of significant digits in 2667 dollars per acre. SECTION 11.3

$524,288

Suppose you save $1 the first day of a month, $2 the second day, $4 the third day, and so on. That is, each day you save twice as much as you did the day before. What will you put aside for savings on the twentieth day of the month? SECTION 9.5

42,300 cm

The base of a monument is about 1287 meter above sea level and the summit of the monument is about 1710 meters above sea level. How high is the monument from its base to its summit in centimeters? INCLUDE UNITS SECTION 11.4

0.423 km

The base of a monument is about 1287 meter above sea level and the summit of the monument is about 1710 meters above sea level. How high is the monument from its base to its summit in kilometers? INCLUDE UNITS SECTION 11.4

423 m

The base of a monument is about 1287 meter above sea level and the summit of the monument is about 1710 meters above sea level. How high is the monument from its base to its summit in meters? INCLUDE UNITS SECTION 11.4

Radius

The length of a line segment from the center of a circle to any point of the circle is called the _____ of the circle. SECTION 10.3

0.2, 1960, 73, 1960

The life expectancy of American women t years after 1960 is given by A(t) = 0.2t + 73. The model is of the form f(x) = mx + b. The letter m signifies the slope or rate of change. Rate of change is equal to ___ years of age per year after ____. The letter b signifies the y-intercept or base year. This means that the life expectancy of American women was ___ years of age for the year ____. SEPARATE ANSWERS WITH A COMMA SECTION 9.7

353.25 sq in

The radius of a circular sign is 15 inches. Equal parts of the sign are painted brown and green. How many square inches are painted each color? Use 3.14 for pi. INCLUDE A UNIT WITH YOUR ANSWER - FORMAT "SQ IN" SECTION 12.6

9.42 ft

To protect an elm tree in your backyard, you need gypsy moth caterpillar tape around the trunk. The diameter of the tree is 2.9 ft. Round the diameter to the nearest foot in order to estimate the length of tape needed. Used 3.14 for pi. INCLUDE A UNIT WITH YOUR ANSWER SECTION 12.6

d = a - 162

Translate the English sentence into an equation using the variable indicated: The desk costs $162 less than the armoir. Use d for the cost of the desk and a for the cost of the armoir. SECTION 9.3

L = 2W + 8

Translate the English sentence into an equation using the variable indicated: The length of the rectangle is 8 meters longer than double the width. Use L for the length and W for the width of the rectangle. SECTION 9.3

Parallel

Two lines in the same plane that do not intersect are called _____ lines. SECTION 10.1

28 + 7

What is a numerical expression for the word phrase below? 28 plus 7 SECTION 9.1

A

Where do all the points on a plane equidistant from a given point lie? a. The points lie on a circle b. The points lie on a plane. c. The points lie on a line. d. The points lie on a sphere. e. None of the above. SECTION 10.3

A, D

Which of the following are U.S. units of capacity? Select all units of capacity. a. Quarts b. Tons c. Pounds d. Pints SEPARATE ANSWERS WITH A COMMA SECTION 11.1

B, C, D

Which questions can be answered using units of length? Select all questions that apply. a. How much water is in a cup? b. How far is the grocery store from your home? c. How wide is the room? d. How long is a cat's tail? SEPARATE ANSWERS WITH A COMMA SECTION 11.1

C

Which statement about quadrilaterals is true? a. All parallelograms are rectangles. b. All parallelograms are squares. c. All rhombuses are quadrilaterals. d. All trapezoids are parallelograms. SECTION 10.4

-5 * 3 + 3, -12

Write a numerical expression for the phrase, then simplify it. The product of -5 and 3, added to 3 SEPARATE ANSWERS WITH A COMMA SECTION 9.1

A

Write a sentence as an equation. Use x to represent "a number." The product of 2 and the sum of -5 and a number is -25. a. 2(-5 + x) = -25 b. 2(-5 - x) = -25 c. -5(2 + x) = -25 d. (2 + x) / (-5) = -25 SECTION 9.3

-2n + 3

Write an expression for the general or nth term for the arithmetic sequence. 1, 4, 7, 10 ... SECTION 9.5

5, 8, 11, 14, 17

Write the first five terms of the arithmetic sequence with the first term a1 = 5, and the common difference, d = 3. SECTION 9.5

243, -81, 27, -9, 3

Write the first five terms of the geometric sequence with the first term, a1 = 243, and common ratio, r = - 1/3. SECTION 9.5

7 * (4 + 3), 49

You worked on a school project every day for 7 days. Each day, you worked for 4 hours in the morning and 3 hours in the afternoon. Write an expression that correctly represents the total number of hours you worked on the project. How many hours did you work on the project over the 7 days? SEPARATE ANSWERS WITH A COMMA SECTION 9.1

2

Your friend lost all of her tennis balls, so she bought 12 new ones. Later, she found x tennis balls under the sofa. Now she has a total of 14 tennis balls. How many tennis balls did she find under the sofa? SECTION 9.4