1. Rational and Irrational numbers
Unit 1.2 Test Review
Rational and Irrational numbers

2. Which expression is equivalent to (x-2)(x-6)
x2-6x2-2x+12
x2-8x+12
x2-8x-12

3. The sum of a rational number and an irrational number is irrational
The sum of a rational number and an irrational number is irrational. Which expression supports this statement?
2 + 2
3 +1
3+6
1 3 +6

4. The quotient of two numbers is a rational number
The quotient of two numbers is a rational number. If one of those numbers is 27 , which could be the other number? 3 16 8
1 2

5. Why is 8.57 a rational number? Select all that apply.
The value is a repeating decimal.
All decimals are rational numbers.
The value is a terminating decimal.
The value can be written as a ratio of two integers.
The value cannot be written as a ratio of two integers.

6. An irrational number squared is rational.
Always true
Sometimes true
Never true

7. The difference of two rational numbers is rational.
Always true
Sometimes true
Never true

8. The product of two rational numbers is rational.
Always true
Sometimes true
Never true

9. Determine if the numbers are rational or irrational.
9 100
4 3
20 27
.245
(2+ 6 )(2− 6 ) 5
100 π
2+ 27
3 125

10. Is 2 4 ⋅ 4 2 rational or irrational?

11. Simplify the following
3 5 − 5
7 2
11 ⋅ 11