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Worksheets

Chapter 7 Test Review

Total questions: 66

Worksheet time: 33mins

Name
Class
Date
1.

4-\sqrt[]{4}  

(a)  

2.

1625\sqrt[]{\frac{16}{25}}  

(a)  

3.

±6.25\pm\sqrt[]{6.25}  

(a)  

4.

643\sqrt[3]{64}  

(a)  

5.

2163\sqrt[3]{-216}  

(a)  

6.

34310003\sqrt[3]{-\frac{343}{1000}}  

(a)  

7.

349+53\sqrt[]{49}+5  

(a)  

8.

1041610-4\sqrt[]{16}  

(a)  

9.

14+1004\frac{1}{4}+\sqrt[]{\frac{100}{4}}  

(a)  

10.

(273)3 + 61\left(\sqrt[3]{-27}\right)^3\ +\ 61  

(a)  

11.

15 +3125315\ +3\sqrt[3]{125}  

(a)  

12.

2729352\sqrt[3]{-729}-5  

(a)  

13.

Find the missing length of the triangle.

(a)  

14.

Find the missing length of the triangle.

(a)  

15.

find the missing length of the triangle.

(a)  

16.

A cube-shaped package has a volume of 5832 cubic inches. What is the edge length of the package?

(a)  

17.

You are cutting a rectangular piece of fabric in half along the diagonal. The fabric measures 28 inches wide and 45 inches long. What is the length (in inches) of the diagonal?

(a)  

18.

36-\sqrt[]{36}  

(a)  

19.

925-\sqrt[]{\frac{9}{25}}  

(a)  

20.

±1.69\pm\sqrt[]{1.69}  

(a)  

21.

1543615-4\sqrt[]{36}  

(a)  

22.

546+23\sqrt[]{\frac{54}{6}}+\frac{2}{3}  

(a)  

23.

10(8112)10\left(\sqrt[]{81}-12\right)  

(a)  

24.

7293\sqrt[3]{729}  

(a)  

25.

643433\sqrt[3]{\frac{64}{343}}  

(a)  

26.

8273\sqrt[3]{-\frac{8}{27}}  

(a)  

27.

27316\sqrt[3]{27}-16  

(a)  

28.

25 + 264325\ +\ 2\sqrt[3]{-64}  

(a)  

29.

31253273\sqrt[3]{-125}-27  

(a)  

30.

Find the missing length of the triangle.

(a)  

31.

Find the missing length of the triangle.

(a)  

32.

Classify the real number as rational or irrational. 14\sqrt[]{14}  

a)

rational

b)

irrational

33.

Classify the real number as rational or irrational.

37-\frac{3}{7}  

a)

rational

b)

irrational

34.

Classify the real number as rational or irrational.

π\pi  

a)

rational

b)

irrational

35.

Classify the real number as rational or irrational.

121\sqrt[]{121}  

a)

rational

b)

irrational

36.

Classify the real number as rational or irrational.

0.123987...0.123987...  

a)

rational

b)

irrational

37.

Classify the real number as rational or irrational.

3.753.75  

a)

rational

b)

irrational

38.

Classify the real number as rational or irrational.

5π5\pi  

a)

rational

b)

irrational

39.

Classify the real number as rational or irrational.

1.31.\overline{3}  

a)

rational

b)

irrational

40.

Classify the real number as rational or irrational.

6.15976.1597  

a)

rational

b)

irrational

41.

 Classify the real number as rational or irrational. 38-\sqrt[]{38}  

a)

rational

b)

irrational

42.

Classify the real number as rational or irrational.

124-124  

a)

rational

b)

irrational

43.

Estimate the square root to the nearest INTEGER.

8\sqrt[]{8}\approx   (a)  

44.

 Estimate the square root to the nearest INTEGER.

60  \sqrt[]{60}\ \ \approx   (a)  

45.

Estimate the square root to the nearest INTEGER.

24 \sqrt[]{24}\ \approx   (a)  

46.

Which number is greater?

88\sqrt[]{88}  , 12

(a)  

47.

Which number is lesser?

18-\sqrt[]{18}   , 6-6  

(a)  

48.

Write the decimal as a fraction or a mixed number.

0.30.\overline{3}  

(a)  

49.

Write the decimal as a fraction or a mixed number.

0.2-0.\overline{2}  

(a)  

50.

Write the decimal as a fraction or a mixed number.

1.71.\overline{7}  

(a)  

51.

Write the decimal as a fraction or a mixed number.

0.180.\overline{18}  

(a)  

52.

Write the decimal as a fraction or a mixed number.

3.24-3.\overline{24}  

(a)  

53.

Write the decimal as a fraction or a mixed number.

1.091.\overline{09}  

(a)  

54.

Write the decimal as a fraction or a mixed number.

2.42.\overline{4}  

(a)  

55.

Write the decimal as a fraction or a mixed number.

3.27-3.\overline{27}  

(a)  

56.

Write the decimal as a fraction or a mixed number.

2.1452.\overline{145}  

(a)  

57.

Write the decimal as a fraction or a mixed number.

0.140.\overline{14}  

(a)  

58.

Tell whether the triangle with the given side lengths is a right triangle.

a)

Yes

b)

No

59.

Tell whether the triangle with the given side lengths is a right triangle.

a)

Yes

b)

No

60.

Tell whether the triangle with the given side lengths is a right triangle.

a)

Yes

b)

No

61.

Tell whether the triangle with the given side lengths is a right triangle.

17 in, 4 in, 18 in

a)

Yes

b)

No

62.

Tell whether the triangle with the given side lengths is a right triangle.

10.5 ft, 14.5 ft, 10 ft

a)

Yes

b)

No

63.

Find the distance between the two points.

(0, 0), (3,4)\left(0,\ 0\right),\ \left(3,4\right)  

a)

5

b)

5\sqrt[]{5}  

c)

4

d)

7\sqrt[]{7}  

64.

Find the distance between the two points.

(2, 3), (7, 15)\left(2,\ -3\right),\ \left(7,\ -15\right)  

a)

13\sqrt[]{13}  

b)

13

c)

6

d)

12\sqrt[]{12}  

65.

Find the distance between the two points.

(5, 1), (0, 2)\left(-5,\ -1\right),\ \left(0,\ 2\right)  

a)

34\sqrt[]{34}  

b)

33\sqrt[]{33}  

c)

6

d)

5

66.

Find the distance between the two points.

  (2, 4), (3, 1)\left(2,\ -4\right),\ \left(3,\ -1\right)  

a)

10\sqrt[]{10}  

b)

10

c)

6

d)

12\sqrt[]{12}