Unit 1 Review

Real Number System

100

What is the difference between rational and irrational?

rational - terminates or repeats

irrational - never terminates, never repeats

200

If we multiply two rational numbers, the answer will be _______.

rational

300

If you subtract an irrational number from a rational number, the answer will be _______.

irrational

400

If you multiply an irrational number by zero, the answer will be _______.

rational

500

If you divide a rational number by an irrational number (and the denominator is not zero), the answer will be_______.

irrational

Order of Operations

100

What are the steps for solving problems with the order of operations?

PEMDAS

200

6+3*2

12

300

(5+3)×4−6

26

400

2^3 +(6−4)×5

18

500

( 3+2×(4−1)^2)/6

3.5

Combining Like Terms

100

When combining like terms, what changes and what stays the same?

change coefficients, keep variables and exponents the same

200

3x-5x

-2x

300

4y+7−2y+3

2y+10

400

5a−3+2a+8−a^2

-a^2+7a+5

500

3x ^ 2 +5y−2x ^2 +7y−4

x^2 +12y−4

Distributive Property

100

When we distribute, what do we do with the outside term?

Multiply the outside term to everything inside the parenthesis

200

4(x+2)

4x+8

300

−3(2x−4)

-6x+12

400

5(3x+4y−7)

15x+20y−35

500

2(x+3y−4z)+3(2x−y+z)

8x+3y−5z

Translating Word Problems

100

When we see the word "separate" in a word problem, we know we will use what operation?

Division

200

The sum of three times a number and seven

3x+7

300

Six less than a number is equal to twice the number

x-6=2x

400

The difference between a number and five is greater than or equal to ten

x−5≥10

500

Twice the sum of a number and four is less than twenty

2(x+4)<20