Free Printable Grade 8 Semester 1 Review

1.

The half-life of Uranium is 2.5 x 10⁵ years. What is this in standard form?

a)

2500000

b)

250

c)

25000

d)

250000

2.

Write 4.83 x 10^-6in Standard Form.

a)

0.00048300

b)

0.00004830

c)

0.00000483

d)

0.00000438

3.

Convert 0.0000037 to Scientific Notation.

a)

.37 x 10^-7

b)

3.7 x 10^-6

c)

37 x 10^-5

d)

370 x 10^-4

4.

Mercury’s average distance from the sun is 57,190,000 km. What is the distance in scientific notation?

a)

5719 x 10⁴

b)

571.9 x 10⁵

c)

57.19 x 10⁶

d)

5.719 x 10⁷

5.

Give the sum of (2.6 x 10⁶) + (4.2 x 10⁶)

a)

6.8 x 10⁶

b)

6.8 x 10¹²

c)

8.4 x 10⁶

d)

3.2 x 10¹²

6.

Give the difference of (6.4 x 10^-6) - (5.7 x 10^-7)

a)

5.83 x 10^-6

b)

7 x 10^-7

c)

1.23 x 10^-13

d)

1.3 x 10^-6

7.

Give the sum of (5.7 x 10^-7) + (3.23 x 10^-5)

a)

1.193 x 10^-12

b)

3.287 x 10^-5

c)

3.317 x 10^-12

d)

5.53 x 10^-2

8.

Subtract the within the scientific notation.
(2 x 10³) - (1.9 x 10²)

a)

1.81 x 10⁵

b)

1.81 x 10³

c)

1.81 x 10⁶

d)

1.81 x 10⁴

9.

Level 2

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

10.

Level 2

(5.3 x 10²) x (1.0 x 10²)

a)

5.3 x 10⁴

b)

5.3 x 10²

c)

6.3 x 10²

d)

53 x 10⁴

11.

DIVIDE:

(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

12.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

13.

x⁸ / x²

a)

x⁴

b)

x¹⁶

c)

x^-6

d)

x⁶

14.

(-5)³

a)

-15

b)

125

c)

-125

d)

-625

15.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

16.

Simplify the following:

$(x^3)^4$

a)

$x^{12}$

b)

$x^7$

c)

$x^1$

d)

$x^{81}$

17.

Simplify the following:

$(5x^5)^2$

a)

$25x^{10}$

b)

$25x^7$

c)

$10x^{10}$

d)

$10x^7$

18.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

19.

Which is GREATER?
2⁷ or 7²

a)

2⁷

b)

7²

c)

Neither, they are equal

20.

(5²)³

a)

5⁶

b)

5⁵

c)

5⁷

d)

5⁸

21.

$5^2\cdot5^3$

a)

5⁶

b)

5⁵

c)

5⁷

d)

5⁸

22.

(r⁴)⁶

a)

10r

b)

r¹⁰

c)

24r

d)

r²⁴

23.

10) Please solve this equation

m - 14 = 32

a)

m = 18

b)

m = 2 ¹/₈

c)

m = 424

d)

None of these match my answer

24.

13) Please solve this equation

23 = x + 7

a)

x = 16

b)

x = 30

c)

x = 161

d)

None of these match my answer

25.

2) Solve this equation

t - 7 = 2

a)

t = 9

b)

t = 7

c)

t = 5

d)

None of these match my answer

26.

Level 3

Solve for a

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

27.

Level 3

Solve for w

a)

w = 2

b)

w = 4

c)

w = 6

d)

w = 8

28.

How many solutions will this system have?

a)

One

b)

Two

c)

No Solution

d)

Infinitely Many Solutions

29.

What is the solution?

a)

No solution

b)

(0, 2)

c)

(0, -4)

d)

(3, -3)

30.

Which graph represents a system of equations with infinite solutions?

a)

b)

c)

d)

None of the above

31.

Complete the equation.
$y=-20x+$ ____

32.

Complete the equation.
$y=$ ____ $x+50$

33.

solve the system of equations
y= -x + 3
y = 4x - 2

a)

(1, 2)

b)

(2, 1)

c)

(-1, 4)

d)

(4, -1)

34.

3(x - 7) = -18

35.

Write the slope-intercept form of the equation shown in the graph.

a)

y = 2x - 2

b)

y = -2x + 2

c)

y = -2x + 4

d)

y = 2x + 4

36.

Write the slope-intercept form of the equation shown in the graph.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

37.

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

38.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

39.

$what\ is\ 3^2$

40.

$what\ is\ 2^3$

41.

$what\ is\ 5^3$

42.

$what\ is\ 10^3$

43.

$what\ is\ \sqrt[]{16}$

44.

$what\ is\ \sqrt[]{49}$

45.

$if\ y^3\ =\ 27$

What is y?

46.

$if\ y^3\ =\ 125$

What is y?

47.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

48.

Which one is not a perfect square?

a)

100

b)

49

c)

117

d)

144

49.

Classify the following number:
1.01011011101111....

a)

Rational

b)

Irrational

50.

Integers are

a)

..., -3, -2, -1, 0, 1, 2, 3, ...

b)

numbers that can be expressed in fraction form

c)

0, 1, 2, 3,...

d)

1, 2, 3, ...

51.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

52.

Rewrite each expression with a negative exponent.
¹/_12⁴

a)

¹/_12^-4

b)

12⁴

c)

¹/_20,736

d)

12^-4

53.

Any number written to the 0 power is always 1
Example: 8⁰=1

a)

True

b)

False

54.

When dividing by a power of ten, the decimal place moves__________.

a)

up

b)

left

c)

right

d)

it does not move

55.

When multiplying by a power of ten, how many times does the decimal place move to the right?

a)

once for every zero

b)

twice for every zero

c)

three times for every zero

d)

it never moves

56.

How many zeros will 10^-8have as a decimal?

a)

7

b)

8

c)

9

d)

6

57.

Write 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 as an exponent.

a)

100,000,000

b)

$10^8$

c)

10 x 8

d)

80

58.

Solve for y: 2y + 7 = y + 4

a)

-3

b)

3

c)

-2

d)

2

59.

Solve for y: 3y - 2 = 2y + 6

(a)

Grade 8 Semester 1 Review

Total questions: 59

Worksheet time: 4hrs 56mins

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