Unit 8 Review--3/9/22

EquationsProportions

100

What is the value of x in this equation: 

4x + 6 = -62

-17

200

Tim's mom filled the gas tank in her SUV and spent $72 for 22.5 gallons of unleaded gasoline.  What is the constant of proportionality that relates the cost in dollars, y, to the number of gallons of unleaded gasoline, x?

H. $3.20 PER GALLON OF UNLEADED GAS

300

Which situation is represented by the equation 26 = 2t + 12?

A. The number of inches in t feet is 26.

B. The perimeter of an isosceles triangle with 2 sides of t inches each and a base of 12 inches is 26.

C. The perimeter of a rectangle with length of 2t centimeters and a width of 12 centimeters is 26 centimeters.

D. The area of a rectangle with width of 2t yards and length of 12 yards is 26 square yards.

B. THE PERIMETER OF AN ISOSCELES TRIANGLE WITH 2 SIDES OF t INCHES EACH AND A BASE OF 12 INCHES IS 26 INCHES.

400

Which equation represents the relationship between the x-values and y-values in the graph?

F. y = 3/5x - 5

G. y = 3/5x +5

H. y = 5x - 3/5

J. y = -5x + 3/5

F. Y = 3/5X - 5

500

Solve the following expression:

             5² - 2 + (5 * 3)

5² - 2 + (5 * 3)

5² - 2 + 15

25 - 2 + 15

23 + 15

38

600

If x = -8, which inequality is true?

F. -7 - 2x > 12

G. -2 - 5x <16

H. 4- 2x > 20

J. 5 - x < 15

J. 5 - X < 15

5 - (-8) < 15

KCC

5 + 8 < 15

13 < 15

700

Carly was assigned to be the cashier at a charity rummage sale.  One customer purchased 5 candles that were $0.75 each, 2 decorative plates for $2.35 each, and a baseball jersey for $6.00.  How much change should Carly give the customer if the customers pays with a $20 bill?

5(0.75) + 2(2.35) + 6.00 = $14.45

$20.00 - $14.45 = $5.55

800

A recipe says to use 3 cups of flour to make 48 cookies.  What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x?

K = Y/X

K = 48/3

K = 16

ProbabilityPersonal Finance

100

Ivan has these colors of socks in his drawer.

*6 black socks             *1 green socks

*2 red socks                *2 purple

*1 orange sock

Ivan will randomly choose one sock.  Then he will put it back and randomly choose another sock.  What is the probability that he will choose a red sock and then a black sock?

R AND B          TOTAL: 12

2/12 * 6/12 = 12/144 = 1/12

200

Brandi wants to practice in an after-school program.  She has one art class, three dance classes, two gymnastics classes, or three sports classes to choose from but can't decide so she writes the name of each class on a slip of paper and draws one slip out of a bag.  What is the probability that she does NOT draw a dance class?

NOT DANCE           TOTAL: 9

DANCE IS 3            OTHERS TOTAL: 6

SO, 6/9 = 2/3

300

Molly has assigned a certain percentage for each category of her personal budget.  Her monthly income is $3200.  How much money is she budgeting for groceries each month?

12% OF 3200 = .12 * 3200 = $384

400

An army bus has 24 total seats with a carrying capacity of two soldiers per seat.  If four seats on each bus are reserved for equipment, how many soldiers can fit on the bus in the remaining seat?

24 SEATS WITH 4 SEATS FOR EQUIPMENT WHICH MEANS ONLY 20 SEATS CAN BE USED.  2 SOLDIERS SIT IN EACH SEAT.

24-4=20

20 *2 = 40 SEATS FOR SOLDIERS

500

Savannah's balance in her checking account was -$345.98.  She deposited two checks, each in the amount of $178.50.  What is Savannah's new checking account balance after the deposits?

-$345.98 MEANS SHE OWES THE BANK

DEPOSITS OF $178.50 * 2 =$357.00

$357.00 - 345.98 = $11.02 

600

A survey was conducted to determine the food choices of the 120 students at a picnic.  The types of picnic foods are shown in the circle graph.  Based on the circle graph, what percentage of students chose a hotdog?

THEY SHOULD ALL ADD UP TO 100%

15 + 10 + 20 + 30 = 75

100 - 75 = 25%

700

A classroom is arranged with 8 seats in the front row, 10 seats in the middle row, and 12 seats in the back row.  The teacher randomly assigns seats to students as they enter the classroom.  What is the probability that the first student who enters the classroom will be assigned a seat in the front row?

TOTAL = 30

8 ARE IN THE FRONT ROW

8/30 = 4/15

800

Jack tossed a coin three times.  Draw a tree diagram that shows all the possible outcomes of the coin landing heads or tails up.

CirclesTriangles

100

An isosceles triangle has base angles that each measure 42 degrees.  Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees?

G. 84 + Z = 180

200

The angle measures of a triangle are shown in the diagram.  What is the value of x?

28

300

The sum of the measures of angle M and angle R is 90 degrees.  

The measure of angle M is (5x - 15) degrees.

The measure of angle R is 35 degrees.

What is the value of x?

X = 14

400

The measures of the angles in a triangle are shown in the diagram.  Which equation can be used to find the value of x?

A. 48 + 2X = 180

500

Angle M and R are supplementary angles.

The sum of supplementary angles is 180 degrees.  

The measure of angle M is (2x+23) degrees.

The measure of angle R is 90 degrees.

What is the value of x?

X = 33.5

600

Corrine used a rectangle, an isosceles triangle, and a right triangle to form the figure shown.  What is the area of the composite figure above?

60 CM SQUARED

700

An observatory is shaped like a cylinder standing on one of its bases with a dome on top.  The diameter of the floor of the observatory is 64 feet, as shown in the diagram.  Which measurement is closest to the circumference of the base of the observatory in feet?

D = 64

C = (3.14)(64)

C = 200.96

800

Ursula surveyed 50 classmates about their favorite ice cream flavors.  Each classmate chose one flavor.  The results are shown in the circle graph.  How many more of Ursula's classmates chose chocolate than chose vanilla?

TOTAL = 50

FIND % FOR VANILLA BY ADDING OTHERS AND SUBTRACTING FROM 100% 100-74 = 26%

42% OF 50 = 21

26% OF 50 = 13

21-13 = 8

SHAPESSurface Area

100

The net of a square pyramid and its dimensions are shown in the diagram but one of the dimensions is unnecessary.  What is the lateral surface area of the pyramid in square feet?

192 FEET SQUARED

200

The net of a square pyramid is shown in the diagram.  What is the total surface area of the square pyramid in square inches?

208 INCHES SQUARED

300

Yasir drilled a circular hole that had a diameter of 8 millimeters.  Which equation can be used to find r, the radius of the circular hole in millimeters?

F. R = 2/8

G. R = 2(8)

H. R = 8/2

J. R = 8+2

H. R = 8/2

400

The net of a rectangular prism and its dimensions are shown in the diagram.  Which answer is closest to the total surface area of the rectangular prism in square inches?

D. 300 INCHES SQUARED

500

Quadrilateral KLMN is similar to quadrilateral WXYZ.

Which statement about these quadrilaterals must be true?

A. K GOES WITH X

B. L GOES WITH Y

C. N GOES WITH W

D. M GOES WITH Y

D. M GOES WITH Y

600

Below is the net of a Triangular Pyramid.  What is the lateral surface area of the triangular pyramid?

SA = 2(8*4)/2 + ((8*5)/2

SA = 32 + 20

SA = 52 UNITS SQUARED

700

A rectangular prism has dimensions of 6, 10, and 12.  Which is closest to the total surface area of the rectangular prism?

D. 504

800

Area of the circle - Area of the square

(3.14)(5)(5) - (8*8)

78.5 - 64

14.5

Volume

100

Two identical number cubes are shown in the picture.  The edge length of these number cubes is 4 centimeters.  What is the combined volume of the two number cubes in cubic centimeters?

128 CM CUBED

200

A stereo speaker in the shape of a triangular pyramid has a height of 6 inches.  The area of the base "B" of the speaker is 11 square inches.  

What is the volume of the speaker in cubic inches?

22 INCHES CUBED

300

Alina drew a model of a square pyramid. The dimensions of the model are shown in the diagram.  What is the volume of Alina's model in cubic centimeters?

400 CM CUBED

400

The dimensions of a triangular prism are shown in the diagram but one of them is unnecessary.  What is the volume of the triangular prism in cubic centimeters?

192 CM CUBED

500

A ring toss toy is composed of a rectangular prism on top of a cylinder.  The rectangular prism is completely filled with water.  The dimensions of the rectangular prism are shown in the diagram.  What is the volume of the rectangular prism in cubic centimeters?

270 CM CUBED

600

A storage trunk is shaped like a rectangular prism.  The trunk's volume is 18 cubic feet.  The length of the trunk is 6 feet, and the width of the trunk is 2 feet.  What is the height of this trunk?

1.5 feet

700

A pencil holder shaped like a triangular prism is shown in the picture.  The height of the pencil holder is 12 cm. and the volume of the pencil holder is 216 cm cubed.  What is the area of the base of the pencil holder in square centimeters?

18 CENTIMETERS

800

The dimensions of a triangular prism are shown in the diagram.  What is the volume of the triangular prism in cubic centimeters?

V = Bh

V = (bh/2)h

V = (12*8)/2*34

V=96/2*34

V=48*34

V=1632 CM CUBED