STAAR Review WS 6

Directions: Students may use STAAR Reference materials and a calculator on all problems. Work must be shown to receive credit.

1) UPS charges $3 per pound to ship a package plus a $2 handling fee. FedEx charges $2 per pound plus a $4 handling fee. The graph shows the equations representing the shipping costs for each company.

Shipping Options

What is the weight of a package, in pounds,

that results in an equivalent cost for both companies?

A) one pound, because the difference between 3(1) + 2 and 2(1) + 4 is 1.

B) two pounds, because 3(2) + 2 = 8

and 2(2) + 4 = 8.

C) four pounds, because 3(4) + 2 = 14

and 2(4) + 4 = 12.

D) eight pounds, because the lines Number of pounds

intersect at point (2, 8).

2) Look at the graph containing the lines y = 2x + 8 and y = - 2/3 x

What value of x satisfies both equations?

Record your answer and fill in the bubbles on the grid below.

Be sure to use the correct place value.

3) Which equation can be used to find the value of x?

70°

130° x°

(2x)°

A) 3x = 90, because linear angle pairs sum to 90°.

B) 3x = 180, because linear angle pairs sum to 180°.

C) 130 + 70 + x = 180, because the sum of the interior angles of a triangle sum to 180°.

D) 130 + 70 + 3x = 360, because the sum of the exterior angles of a triangle sum to 360°.

4) Which equation shows the sum of the exterior angles of the triangles?

F) x + 70 + 130 = 360

G) x + 70 + 50 = 180

H) 2x + 130 + (180-70) = 360

J) 3x + 130 + 110 = 180

5) Triangles LMO and PNO are shown.M

81° N

81°

L P O

Are the triangles similar?

A) Yes, <LMO and <PNO are congruent and only one pair of corresponding angles must be congruent in similar triangles.

B) Yes, <O is shared by both triangles and <LMO and <PNO are congruent so the triangles are similar by angle-angle similarity.

C) No, <LMO and <PNO are congruent so the triangles are congruent.

D) No, <O is shared by both triangles so the triangles cannot be similar.

6) Which shows all the equations that represent the same solution?

I. 7x – 5 = 8

II. 5x + 11 = x – 5

III. 3x – 3 = 4x + 1

F) I and II only

G) I and III only

H) II and III only

J) I, II, and III

7) Lora has $60 and her sister has $120. Lora saves $7 per week, and her sister saves $5 per week. Which equation and solution represent the number of weeks, w, it will take for the girls to have the same amount of money?

A) 60w + 7 = 120w + 5; w = 30B) 7w + 60 = 5w + 120; w = 30

C) 7w – 60 = 5w – 120; w = 30D) Not here

8) Sam solves the following equation as shown.

2/5 x – 4 = 8 – 3/5 x

+ 4 +4

2/5 x = 12 – 3/5 x

- 3/5 x + 3/5 x

(- 5) – 1/5 x = 12 (- 5)

x = - 60

Sam’s solution is marked incorrect. Which best explains Sam’s error?

F) Sam added 4 to both sides of the equation instead of subtracting 4.

G) Sam multiplied by – 5 on both sides of the equation instead of multiplying by

– 1/5.

H) Sam multiplied by – 5 on both sides of the equation instead of dividing by – 1/5.

J) Sam subtracted 3/5 x on the left side of the equation instead of adding 3/5 x.

9) What value of n balances the scale?

= n = 1

Record your answer and fill in the bubbles on the grid below. Be sure to use the correct place value.

10) Which model does NOT represent a solution of x = 4?

= x = 1

11) An animal shelter conducts an annual fundraising drive. The animal shelter must raise at least enough money to cover their annual rental of $2,500 and weekly expenses of 4450. So far, the shelter has received a one-time donation of $125 and pledged donations of $680 per week. Which inequality can be used to find w, the number of weeks it can take the shelter to meet the goal?

A) 125w + 680 ≤ 2,500w + 450

B) 125w + 680 ≥ 2,500w + 450

C) 680w + 125 ≤ 450w + 2,500

D) 680w + 125 ≥ 450w + 2,500

12) Rog and Nova have a hot dog eating contest. After the first two minutes, Rog has consumed 8 hot dogs and Nova has consumed only 7 hot dogs. From that point, Rog eats 3 hot dogs each minute while Nova eats 4 hot dogs per minute. After how many minutes, m, will Nova have eaten more hot dogs than Rog?

F) 9 + 3m > 7 + 4m

G) 8 + 3m < 7 + 4m

H) 3 + 8m > 4 + 7m

J) 3 + 8m < 4 + 7m

13) Xavi sketches several designs for a math club pin. The math club voted for the pin shape to be a right triangle. Which of the following triangles could NOT be the shape used for the math club pin?

1317

A) 5C) 8

1215

B) 15D)26

1224

Use the following drawing to answer questions 14-16.

14) Which equation can be used to calculate the distance from point Z to point W?

F) c2 = 4 + 6H) c2 = 16 + 36

G) c2 = 3 + 16J) c2 = 8 + 12

15) Between which two points does the distance measure 15 units?

A) Y and XC) Z and Y

B) X and ZD) Y and W

16) Which of the following is true?

F) The distance from point W to point Z is between 6 and 7 units.

G) The distance from point Y to point W is equal to the distance from point Y to point X.

H) The distance from point Y to point Z is between 12 and 13.

J) The distance from point X to point Y is equal to the distance from point X to point W.

17) If the area of a square sandbox is 64 square meters, which is closest to the length of the diagonal of the sandbox?

A) 8 m

B) 9 m

C) 10 m

D) 11 m

18) What is the vertical distance from the floor to the third step?

F) 14.1 cm

G) 60 cm

H) 200 cm

J) 80.6 cm

19) Jen draws a line to divide a trapezoid into a square and a right triangle as shown.

4 cm

7 cm

Which expression can be used to determine the length of the hypotenuse?

A) √42 + 32

B) √42 + 72

C) √42 - 32

D) √112

20) A triangular prims is shown.

17 cm

8 cm 25 cm

15 cm

Which expression can be used to find the surface area of the triangular prism?

F) (8 + 15 + 25) (17) + 2(1/2)(15)(25)

G) (8 + 15 + 17) (25) + 2(1/2)(15)(8)

H) (8 + 17 + 25) (15) + 2(1/2)(15)(17)

J) (15 + 17 + 25) (8) + 2(1/2)(17)(8)

21) A label covers the lateral surface area of a can.

2.6 in

4 in

To the nearest tenth square inch, what is the lateral surface area of the can?

A) 16.3 in2

B) 32.7 in2

C) 21.2 in2

D) 38.0 in2

22) Which expression can be used to find the surface area of the cylinder?

F) 2π(7.5) • 14

G) 2π(7.5) • 14 + π(7.5)2

H) 2π(7.5) • 14 + 2π(7.5)2

J) 2π(7.5) • 14 + 2π(15)2

23) Zae makes a Christmas decoration from a Styrofoam

cone with the dimensions shown.

24 in.

10 in.

What is the approximate volume of Zae’s decoration, to the nearest cubic inch? Record your answer and fill in the bubbles on the grid below. Be sure to use correct place value.

24) A cylindrical juice glass is 8 cm tall and has a diameter of 6 cm. If the glass is ¾ full, which of the following is closest to the volume of juice in the glass?

F) 9π cm3

G) 72π cm3

H) 54π cm3

J) 31π cm3

25) Jorg receives a snow globe for his birthday. The globe has a diameter of 4 inches. Write an equation Jorg can use to find the volume, in cubic inches, of the spherical part of his snow globe. Then, to the nearest hundredth, what is the volume of the spherical part of the snow globe?

Record your answer on the grid.