Free Printable SC Ready Substitute Classwork Review-- 8th Grade

1.

Use your notes to fill in the blank:

Rational numbers can be made into a simple (a) .

2.

Use your notes to fill in the blank:

Irrational numbers cannot be made into a simple (a) .

3.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

4.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

5.

Which of the following numbers is rational?

a)

√8

b)

√16

c)

√50

d)

√75

6.

Use your guided notes to fill in the blank:

In the distributive property, you distribute the outside number to the inside numbers using (a) .

7.

What is the simplified version of this expression? $7\left(5x-1\right)$

a)

$35x+7$

b)

$35x-1$

c)

$35x-7$

d)

$-35x-7$

8.

What is the simplified version of this expression? $9\left(-5x+8\right)$

a)

$45x-72$

b)

$45x+72$

c)

$-45x-72$

d)

$-45x+72$

9.

What is the simplified version of this expression? $5(a+6)$

a)

$5a+6$

b)

$a+30$

c)

$5a+30$

d)

$5a-30$

10.

Fill in the blank using your guided notes:

You can add or subtract terms with the same (a) raised to the same power

11.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

12.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

13.

Simplify by combining like terms:

3x + 2x

a)

5x

b)

x

c)

6x

d)

5

14.

Simplify by combining like terms:

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x²

15.

Use your notes to fill in the blank:

To solve equations, you do the inverse (opposite) operations to get the (a) by itself. Start with the opposite of the multiplication or division.

16.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

17.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

18.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

19.

Solve the equation for x:
2x + 3x + 4 = 44

a)

x = 8

b)

x = 9

c)

x = 10

d)

x = 11

20.

Solve the equation for x:
8x - 6x + 4 + 5 = 19

a)

x = 4

b)

x = 5

c)

x = 6

d)

x = 7

21.

3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

x=8

d)

x= -12

22.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

23.

2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

24.

Simplify the expression (this means distribute and/or combine like terms):

a)

11x + x = 28

b)

4x + 8 = 28

25.

Show your work:

a)

b)

26.

Use your guided notes to fill in the blank:

The product rule states that when multiplying exponents with the same base, (a) the exponents

27.

Simplify:
b²⋅ b⁴

a)

b⁸

b)

b⁶

c)

b²

d)

2b⁶

28.

Use your guided notes to fill in the blank:

According to the quotient rule, when dividing exponents with the same base, (a) the exponents

29.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

30.

Use your guided notes to fill in the blank:

The power says if we raise a power to a power we (a) the powers

31.

Simplify:
(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

32.

Use your guided notes to fill in the blank:

The zero rule states that anything to the zero power is (a)

33.

$\left(7x^3\right)^0$

a)

1

b)

7

c)

$21x^3$

d)

$x^{10}$

34.

Use your guided notes to fill in the blank:

According to the negative exponent rule, raising a number to a negative exponent is the same as raising its (a) to a positive exponent

35.

Make this negative exponent positive.
9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

36.

a)

4⁹

b)

4⁴⁴

c)

4²¹

d)

4¹⁵

37.

a)

w

b)

w^-1= 1/w

c)

-w

d)

w¹⁷

38.

a)

25⁶⁰

b)

25¹⁷

c)

5⁶⁰

d)

5¹⁷

39.

Use your guided notes to fill in the blank:

In scientific notation, positive exponents are used for large numbers - move the decimal to the (a)

40.

Use your guided notes to fill in the blank:

In scientific notation, negative exponents are used for very small numbers - move the decimal to the (a)

41.

Convert this number into scientific notation: 0.068

a)

6.9 x 10⁶

b)

6.8 x 10^-9

c)

6.8 x 10^-2

d)

None of the above

42.

Convert this number to standard notation: 7.1 x 10⁴

(a)

43.

Convert this number into scientific notation: 950,000

a)

9.5 x 10⁵

b)

9.5 x 10^-9

c)

9.5 x 10²

d)

None of the above

44.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really long numbers

c)

I don't know...

d)

None of the above

45.

7.82 x 10^-⁶ is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

a)

Large

b)

Small

c)

Basic

SC Ready Substitute Classwork Review-- 8th Grade

Total questions: 45

Worksheet time: 2hrs 52mins

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