Free Printable Course3 ch. 7.5 review (Big Ideas)

1.

10³

a)

30

b)

100

c)

1000

d)

3000

2.

Which of the following is a perfect square?

a)

8

b)

27

c)

81

d)

2

3.

Is 200 a perfect square?

a)

Yes

b)

No

4.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

5.

What are the two square roots of 16?

a)

16 and −16

b)

8 and −8

c)

4 and −4

d)

2 and −2

6.

$\sqrt{121}$

a)

12

b)

10

c)

11

d)

3

7.

$\pm\sqrt{400}$

a)

$\pm20$

b)

$\pm200$

c)

$-20$

d)

$-200$

8.

$-\sqrt{25}$

a)

5

b)

−5

c)

±5

d)

No Real Answer

9.

$\sqrt{1}$

a)

2

b)

1

c)

$\frac{1}{2}$

d)

Irrational

10.

Find the square root(s).

a)

$-\frac{9}{5}$

b)

$-\frac{3}{5}$

c)

$-\frac{3}{25}$

d)

Irrational

11.

The area of a square painting is 81 cm². What is the side length of the painting?

a)

40.5 cm

b)

162 cm

c)

6,561 cm

d)

9 cm

12.

a)

−13.5

b)

−9

c)

±9

d)

−3

13.

a)

32

b)

4

c)

±8

d)

Not a Real number

14.

a)

8

b)

6

c)

±16

d)

170.6

15.

Simplify completely

a)

b)

c)

d)

16.

A cube has a volume of 64 cubic inches. What is the length of one side of the cube?

a)

8 in

b)

4 in

c)

16 in

d)

4,096 in²

17.

Simplify: $-3\sqrt{4}$

a)

−6

b)

−2

c)

−12

d)

$-\sqrt{12}$

e)

−1

18.

Evaluate the expression. $28-\left(\sqrt{144}\right)^2$

a)

16

b)

−116

c)

256

d)

−44

19.

Evaluate the expression.

a)

16

b)

13

c)

53

d)

4

e)

10.1

20.

Evaluate the expression.

a)

3

b)

4

c)

−3

d)

−4

e)

$-\frac{\text{5}}{\text{3}}$

21.

Evaluate the expression.

a)

18

b)

5

c)

138

d)

no solution

22.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

23.

What is the formula for finding the hypotenuse?

a)

a²+ b²= c²

b)

a + b = c

c)

a² − b² = c²

d)

c − a = b

24.

Which equation can be used to solve the word problem: the diagonal of a t.v. is 40 inches and the height is 30. How wide is the t.v.?

a)

30² + 40² = c²

b)

a² + 40² = 30²

c)

30² + b² = 40²

d)

40² + 30² = c²

25.

Find the value of x.

a)

$\sqrt{28}$

b)

14

c)

2

d)

10

e)

$\sqrt{14}$

26.

Find the length of the missing side.

a)

17 cm

b)

7 cm

c)

15.2 cm

d)

13 cm

e)

10.8

27.

Find the length of the missing side.

a)

8 ft.

b)

4 ft.

c)

16 ft.

d)

11.7 ft.

e)

2 ft

28.

Which number is irrational?

a)

$\sqrt{25}$

b)

c)

$\sqrt{8}$

d)

$\sqrt{121}$

29.

$0.\overline{36}\ =$

a)

b)

4

c)

d)

e)

Irrational

30.

Classify $\sqrt{196}$

a)

Rational, Integer and Whole

b)

Rational and Integer

c)

Rational

d)

Irrational

31.

Classify $-\sqrt{24}$

a)

Rational, Integer and Whole

b)

Rational and Integer

c)

rational

d)

Irrational

e)

Not Real

32.

Classify the Real number above.

a)

Rational, Integer and Whole

b)

Rational and Integer

c)

Rational

d)

Irrational

33.

Classify $3.\overline{14}$

a)

Rational, Integer and Whole

b)

Rational and Integer

c)

Rational

d)

Irrational

34.

Which square root is between 5 and 6?

a)

$\sqrt{48}$

b)

$\sqrt{5.5}$

c)

$\sqrt{28}$

d)

$\sqrt{36}$

35.

The $\sqrt{40}$ is between which two consecutive whole numbers?

a)

7 & 8

b)

4 & 5

c)

5 & 6

d)

6 & 7

36.

Estimate the square root.

a)

4.2

b)

4

c)

4.6

d)

5

37.

Estimate the square root.

a)

9.8

b)

9

c)

9.3

d)

10

38.

Which value is closest

a)

3.8

b)

4.5

c)

10

d)

33.3

39.

Is a triangle with sides $\sqrt{45}$ , $\sqrt{20}$ and 5 a right triangle? Why?

a)

Yes, 45 − 20 = 5

b)

No, Triangles cannot have radicals in them

c)

Yes, because $\sqrt{20}^2+5^2=\sqrt{45}^2$

d)

No, because $\sqrt{45}^2+\sqrt{20}^2\ne5^2$

e)

No, 45 − 20 ≠ 5

40.

Find the approximate distance between J(−5, 4) and K(3, 2)

a)

8.2

b)

7.7

c)

9

d)

10.2

Course3 ch. 7.5 review (Big Ideas)

Total questions: 40

Worksheet time: 36mins

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