Free Printable Exploring Squares and Cubes in Equations

1.

Solve the equation: $x^2 = 16$

a)

$2$

b)

$4$

c)

$8$

d)

$-4$

2.

What is the solution to the equation $x^3 = 27$ ?

a)

$3$

b)

$9$

c)

$27$

d)

$-3$

3.

If $x^2 = 49$ , what are the possible values of $x$ ?

a)

$7$ and $-7$

b)

$7$ and $0$

c)

$49$ and $-49$

d)

$0$ and $7$

4.

Solve for $x$ in the equation $x^3 = -8$ .

a)

$-2$

b)

$2$

c)

$-4$

d)

$4$

5.

What is the value of $x$ if $x^2 - 9 = 0$ ?

a)

$3$ and $-3$

b)

$9$ and $-9$

c)

$0$ and $3$

d)

$3$ and $9$

6.

Which equation will help you find the missing side?

a)

$4^2+10^2=c^2$

b)

$10^2-4^2=c^2$

c)

$c^2=100+10^2$

d)

$c^2+4^2=10^2$

7.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

8.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

9.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

10.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

11.

Between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

12.

Between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

13.

Estimate the value of √30 to the nearest tenths place.

a)

4.8

b)

5.5

c)

6.5

d)

7.2

14.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

15.

What is a square?

a)

Something you multiply by the 3rd power

b)

A shape

c)

A number you multiply by itself

16.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4 x 10 ⁵

17.

Which number is a rational number ?

a)

1/4

b)

π

c)

√3

d)

∛25

18.

The decimal of an irrational number doesn't repeat with a pattern.

a)

true

b)

false

19.

A perfect square is which type of number?

a)

Rational

b)

Irrational

20.

A non-perfect square is which type of number?

a)

Rational

b)

Irrational

21.

Order the numbers from least to greatest.

a)

-1 1/4, -1 1/5, -0.99, 1 13/20, 1.8

b)

-1 1/4, -1 1/5, -0.99, 1.8, 1 13/20

c)

-0.99, -1 1/5, -1 1/4, 1.8, 1 13/20

d)

-1 1/5, -1 1/4, -0.99, 1 13/20, 1.8

22.

Put in order of least to greatest.
√5, 3, 2½, √8

a)

3, 2½, √8, √5

b)

2½, 3, √5, √8

c)

√5, 3, 2½, √8

d)

√5, 2½, √8, 3

23.

$x^3=\frac{27}{64}$

a)

x = 34

b)

x = (34)³

c)

$x=\frac{3}{4}$

d)

$x=(±34)3$

24.

Round 1.823 to the nearest whole number.

a)

1

b)

1.8

c)

2

d)

2.8

25.

Round 5.592 to the nearest hundredth.

a)

5.60

b)

5.50

c)

6.59

d)

5.59

26.

Round 72.178 to the nearest hundredth.

a)

72.2

b)

72.18

c)

72

d)

73.18

27.

Round 47.941 to the nearest tenth.

a)

47.9

b)

48

c)

47.91

d)

48.1

28.

Round 829.51 to the nearest whole number.

a)

829

b)

829.5

c)

800

d)

830

29.

What does the 5 in the decimal 0.257 represent?

a)

fifths

b)

five tenths

c)

fiftieths

d)

five hundredths

30.

Which number shows seventy-three hundredths in standard form?

a)

7,300

b)

7.3

c)

0.73

d)

0.073

31.

Round $5.32 to the nearest dollar.

a)

$5.30

b)

$4.00

c)

$5.00

d)

$6.00

32.

Round to the nearest hundredth
2.408

a)

2.40

b)

2.420

c)

2.41

d)

2.410

33.

What is 57.36 rounded to the nearest tenths place?

a)

57.4

b)

58

c)

57.3

34.

What is 379.576 rounded to the nearest hundreds place?

a)

379.580

b)

300.00

c)

400.00

35.

What does the 5 in the decimal .257 represent?

a)

fifths

b)

five tenths

c)

fiftieths

d)

five hundredths

36.

Which number shows seventy-three hundredths in standard form?

a)

7,300

b)

7.3

c)

0.73

d)

0.073

37.

Compare these numbers
1.04___1.4

a)

< (less than)

b)

> (greater than)

c)

= (equal to)

d)

≠ (not equal to)

38.

What is the place value of the 5 in the number 8.965

a)

Ones

b)

Tenths

c)

Thousands

d)

Thousandths

39.

407.1859
Which number is in the tenths place?

a)

4

b)

1

c)

9

d)

7

40.

$\sqrt[]{256}$

a)

16

b)

128

c)

14

d)

15

41.

$\sqrt[3]{512}$

a)

14

b)

23

c)

8

d)

7

42.

$\sqrt[]{\frac{9}{64}}$

a)

$\frac{2}{5}$

b)

$\frac{1}{2}$

c)

$\frac{3}{4}$

d)

$\frac{3}{8}$

43.

$\sqrt[]{0.49}$

a)

0.2401

b)

0.07

c)

0.7

d)

7

44.

Which equation has both 6 and -6 as possible values of x?

a)

$x^2=12$

b)

$x^3=12$

c)

$x^2=36$

d)

$x^3=36$

45.

Classify the number 2.37855 as either Rational or Irrational

a)

Rational

b)

Irrational

46.

Classify the number $\sqrt[]{15}$ as either Rational or Irrational

a)

Rational

b)

Irrational

47.

Classify the number -54 as either Rational or Irrational

a)

Rational

b)

Irrational

48.

Which of the following fractions is equivalent to $0.\overline{45}$

a)

$\frac{5}{9}$

b)

$\frac{45}{100}$

c)

$\frac{4}{9}$

d)

$\frac{5}{11}$

49.

Write as a decimal. $\frac{5}{8}$

a)

0.625

b)

1.6

c)

.5

d)

.728

50.

Which of the following square roots would be between 8 and 9?

a)

$\sqrt[]{62}$

b)

$\sqrt[]{75}$

c)

$\sqrt[]{83}$

d)

$\sqrt[]{9}$

51.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

52.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4 x 10 ⁵

53.

To which whole number is $\sqrt{80}$ closest on a number line?

a)

7

b)

8

c)

9

d)

10

Exploring Squares and Cubes in Equations

Total questions: 53

Worksheet time: 2hrs 24mins

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