Pre-Algebra Ch. 3 and 4

Solving Equations

100

Solve 

t+5=8

t=3

200

Solve

-3x=30

x=-10

300

solve

(r÷-5)=-2

r=10

400

Solve

(t/3)+4=6

t=6

500

Solve

4(m-4)+2=18

m=8

Sequences

100

What are the next three terms?

6, 12, 18, 24, ...

..., 30, 36, 42, ...

200

What is the common difference in the following sequence?

6, 10, 14, 18, ...

4

300

Write the equation that represents the following sequence.

-3, 2, 7, ...

t=5n-8

400

Find the 14th term of the following sequence.

84, 80, 76, 72, ...

28

500

What is an arithmetic sequence?

An arithmetic sequence is a sequence where the same number is added or subtracted each time.

Factorization

100

Find the prime factorization of 200

2³ x 5²

200

Find the GCF of 12 and 72

12

300

Factor the following monomial

25ab³

5 x 5 x a x b x b x b

400

Find the GCF of the following

20c³d, 12cd

4cd

500

Find the GCF of the following 

15n², 34a

1

Exponents

100

Rewrite the following using positive exponents

8³⋅8⁸

8¹¹

200

Rewrite the following using a positive exponent

7x⋅2x⁴

14x⁵

300

Simplify by using positive exponents

3²⁰÷3¹³

3⁷

400

Rewrite the following using positive exponents

6^-3

1/6³

500

Rewrite the following using positive exponents

2^-3÷2⁴

1/2⁷

Scientific Notation

100

Write 0.0000382 in scientific notation

3.82 x 10^-5

200

Rewrite 310,000,000 in scientific notation

3.1 x 10⁸

300

Express the number in scientific notation

407,000

4.07 x 10⁵

400

The mass of the sun is approximately

1.98 x 10¹⁵

Write this in standard form

1,980,000,000,000,000

500

Write this number in scientific notation

1,068,300

1.0683 x 10⁶