mid term

1. Which expression is equivalent to 0.23 × 0.27?

A. 0.210

B. 0.221

C. 0.410

D. 0.421

2. What is the value of 3–2 × 3?

A.

B.

C. –18

D. –27

3. What is the value of 73 ÷ 74?

A.

B.

C.

4. Which is equivalent to ?

A. 12

B. 112

C. 22

D. 212

5. Which value is equivalent to ?

A.

B.

C.

D.

6. What is the value of ?

A. 0.09

B. 0.03

C. 0.3

D. 0.9

7. The volume of a cube is 729 cubic units. What is the side length of the cube?

A. 2,187

B. 243

C. 27

D. 9

8. What is the value of x when 36 = x2?

A. 6

B. 18

C. 34

D. 72

9. The volume of a cube is 125 cm3. What is the length of each side of the cube?

A. 5 cm

B. 11.18 cm

C. 25 cm

D. 31.25 cm

10. Zachary has two square tables. The first table has an area of 1,296 square inches, which is 512 square inches more than the area of the second table. What is the length of the sides of Zachary’s second table?

A. 43 inches

B. 35 inches

C. 28 inches

D. 20 inches

11. The driving distance from Raleigh, NC to Los Angeles, CA is about 2,500 miles. How is this distance written in scientific notation?

A. 2.5 × 102 miles

B. 2.5 × 103 miles

C. 2.5 × 104 miles

12. The masses of three planets are shown in the table below.

Planet Mass (kg)

Venus 4.87 × 1024 Earth 5.98 × 1024

Mars 6.42 x 1023

Which shows the planets ordered from greatest to least mass?

A. Earth, Venus, Mars

B. Venus, Earth, Mars

C. Mars, Earth, Venus

D. Mars, Venus, Earth

13. Mike is about 1.6 meters tall. A rock is about 2.3 × 10–3 meters tall. About how many times shorter is the rock compared to Mike?

A. 1,400

B. 700

C. 140

D. 70

14. A virus has a diameter of about 2.0 × 10–8 mm. A bacteria has a diameter of about 2.0 × 10–6 mm. How does the size of the bacteria compare to the size of the virus?

A. The bacteria is about 10 times smaller.

B. The bacteria is about 10 times larger.

C. The bacteria is about 100 times smaller.

D. The bacteria is about 100 times larger.

15. The average distance from J upiter to the Sun is about 7.784 × 108 km. How should this distance be written in standard form?

A. 778,400,000,000 km

B. 7,784,000,000 km

C. 778,400,000 km

D. 77,840,000 km

16. What is the value of ?

A. 0.02

B. 0.2

C. 2

D. 200

17. What is the value of (1.48 × 10–8) ÷ (2 × 10–6)?

A. 0.74

B. 0.074

C. 0.0074

D. 0.00074

18. What is the value of (0.00035)(1.75 × 10–4) in scientific notation?

A. 2.1 × 10–8

B. 6.125 × 10–8

C. 6.125 × 10–4

D. 2.1 × 103

19. What is the value of the expression ?

A. 1.5 × 10–12

B. 1.5 × 104

C. 1.75 × 10–12

D. 1.75 × 104

20. What is the value of ?

A. 1.7

B. 17

C. 170

D. 1,700

21. The sum of three consecutive integers is 87. What is largest value of the three integers?

A. 28

B. 29

C. 30

D. 31

22. What is the value of x in the equation 2x + 9 = 5x − 6?

A. –5

B. 3

C. 5

23. What is the value of p in the equation 2(p – 5) = 2(10 + 2p)?

A. 15

B. 5

C. –5

D. –15

24. Which equation below has infinitely many solutions?

A.

B.

C.

D.

25. What is the value of m in the equation below?

4(m + 2) = –4(m – 2)

A. 0

B. no solution

C. infinitely many solutions

26. Triangle J KL is graphed below.

The triangle will be translated 8 units to the right and 6 units down. What will be the coordinates of the image point J ′ ?

A. (2, –6)

B. (4, –4)

C. (6, –4)

D. (6, –8)

27. Triangle MNO has coordinates M(0, 0), N(5, 3), and O(5, –4). Triangle MNO will be rotated 270° counterclockwise about the origin. What will be the coordinates of O′ ?

A. (4, 5)

B. (4, –5)

C. (–4, 5)

D. (–4, –5)

28. Point S on a coordinate plane is located at ( –3, 4). The point will be translated 2 units left and 3 units down. What will be the coordinates of the image point S′ ?

A. (2, –6)

B. (1, –5)

C. (–5, 1)

D. (–6, 2)

29.

Figure X’ is the image of figure X after a dilation.

What scale factor was used for the dilation?

A.

B.

C.

D.

30. The vertices of a square are W(3, 3), X(3, –3), Y(–3, –3), and Z(–

3, 3). The square will be dilated using a scale factor of 2. What will be the coordinates of the image?

A. W′ (1.5, 1.5), X′ (1.5, –1.5), Y′ (–1.5, –1.5), Z′ (–1.5, 1.5)

B. W′ (5, 5), X′ (5, –5), Y′ (–5, –5), Z′ (–5, 5)

C. W′ (6, 6), X′ (6, –6), Y′ (–6, –6), Z′ (–6, 6)

D. W′ (9, 9), X′ (9, –9), Y′ (–9, –9), Z′ (–9, 9)

31. Triangle NPQ is shown below.

What is the measure of ∠NQP?

A. 22°

B. 23°

C. 24°

D. 26°

32. In the figure below, lines m and n are parallel.

What is the value of x?

A. 34

B. 58

C. 63

D. 75

33. In the figure below, lines x and y are parallel.

What is the value of n?

A. 10

B. 26

C. 36

34. In the figure below, lines g and h are parallel.

What is the measure of ∠x?

A. 100°

B. 112°

C. 123°

D. 125°

35. In the figure below, lines k and m are parallel.

What is the measure of ∠x?

A. 41°

B. 49°

C. 131°

D. 139°

36. What is the length of the hypotenuse in the right triangle below?

A. 8 in.

B. 15 in.

C. 20 in.

D. 21 in.

37. A right triangle is shown below.

What is the measure of the missing side, x?

A. 4 cm

B. 8 cm

C. 12 cm

38. Mr. Lopez has a rectangular classroom that measures 36 feet by 28 feet. What is the approximate diagonal measurement of the room?

A. 23 feet

B. 44 feet

C. 46 feet

39. The width of a rectangular swimming pool is 16 ft. The diagonal of the swimming pool is 34 ft. What is the length of the swimming pool?

A. 22 ft

B. 25 ft

C. 30 ft

D. 38 ft

40. In the picture below, an airplane is 40 miles (air distance) from the airport and is at an elevation of 4 miles.

What is the approximate ground distance (d) the airplane is from the airport?

A. 20.4 mi

B. 36.0 mi

C. 39.8 mi

D. 44.0 mi

41. What is the approximate distance between points P and R?

A. 3.5 units

B. 4.0 units

C. 4.5 units

D. 5.0 units

42. On a coordinate graph, what is the length of a line segment with endpoints at (0, 0) and (3, 4)?

A. 3 units

B. 4 units

C. 5 units

D. 7 units

43. Triangle RST has vertices at R(3, 1), S(3, 5), and T(6, 5). What is the perimeter of

triangle RST?

A. 5 units

B. 7 units

C. 12 units

D. 15 units

44. Triangle EFG has vertices at E(–3, 0), F(3, 0), and G(3, 8). What is the length of line

segment EG?

A. 8 units

B. 10 units

C. 14 units

45.

Triangle FGH has vertices F(1, –5), G(6, 0), and H(1, 0). What is the approximate perimeter of this

triangle?

A.13.2 units

B.17.1 units

C.19.3 units

D.23.5 units

46.

A cylinder has a height of 7 in. and a diameter of 6 in. What is the

approximate volume of the cylinder?

A.132 in.3

B.198 in.3

C. 792 in.3

47.

Trey purchased a new salt container that is shaped like a cylinder.

·         The new container is 4 in. tall with a radius of 2.5 in. 

·         His old cylinder-shaped salt container was 5 in. tall with a radius of 2 in. 

Which statement is true?

A.

The volume of the new container is greater by about 1 in.3

B.

The volume of the new container is greater by about 10 in.3 

C.

The volume of the new container is greater by about 16 in.3 

D.

The volume of the new container is the same as the old container.

48.

A cylinder-shaped container is used to store water. The container has a height of 6 feet

and a diameter of 3 feet. About how much water is in the container when it is full?

A. 127 cubic feet

B. 42 cubic feet

C. 32 cubic feet

D. 14 cubic feet

49.

An ice cream cone has a radius of 2 inches and a height of 6 inches. How much ice

cream can fit inside the cone? 

A. 4 in.3

B. 6 in.3

C. 25 in.3

D. 101 in.3

50.

Tom is filling a spherical beach ball with air for the pool party. The ball has a radius of 8 inches.

What is the approximate amount of air the ball will hold? 

A. 33 in.3

B. 267 in.3 

C. 1,608 in.3 

D. 2,144 in.3