Download Unit 1.2 Test Review

Unit 1.2 Test Review
Rational and Irrational Numbers
1) The quotient of two numbers is a
rational number. If the numerator is 12,
what could the denominator be?
2) Explain why 8.57 is a rational
number?
3) Write three rational numbers
4) Write three irrational numbers.
5) An irrational number squared is
rational.
A. Always True
B. Sometimes True
C. Never True
6) The sum of two rational numbers is
rational.
A. Always true
B. Sometimes true
C. Never true
7) The product of two rational
numbers is rational.
A. Always true
B. Sometimes true
C. Never true
Write in simplest radical form.
8.
48
9.
128
10.
36 + 121
11.
24 − 45
12.
3 − 8 + 72
13.
10 ⋅ 6
14.
8⋅ 3
15.
8
2
16.
24
27
17. ( 2 + 3) 6
18. 3 − 2 3 + 2
19. (2 − 3 3)(4 + 3)
Answer Key
1.
2.
3.
4.
5.
6.
7.
3, because
12
3
= 4 = 2 and 2 is a rational number.
57
A) It can be written as a fraction, 8
𝑜𝑟
100
B) It is a terminating decimal.
8+ 3 8− 3 ,
𝜋, 2,
6
7
857
.
100
24
,4
6
2
Sometimes true. 3 = 3 𝑏𝑢𝑡 𝜋 2 𝑖𝑠 𝑖𝑟𝑟𝑎𝑡𝑖𝑜𝑛𝑎𝑙.
Always true. A fraction added to a fraction will be a fraction.
Always true. A fraction multiplied by a fraction will be a fraction.
Answer Key
8.
48 = 16 ⋅ 3 = 4 3
9. 128 = 64 ⋅ 2 = 8 2
10. 36 + 121 = 6 + 11 = 17
11. 24 − 45 = 4 ⋅ 6 − 9 ⋅ 5 =
2 6−3 5
12.
3 − 8 + 72 = 3 −
4⋅ 2 +
36 ⋅
Answer Key
13.
10 ⋅ 6 = 60 = 4 ⋅ 15 = 2 15
14. 8 ⋅ 3 = 24 = 4 ⋅ 6 = 2 6
15.
8
2
16.
24
27
=
=
8
2
= 4=2
24
27
=
4⋅ 2
9⋅ 3
=
2 2
3 3
Answer Key
17.
2 + 3 6 = 6 ⋅ 2 + 6 ⋅ 3 = 12 +
18 = 4 ⋅ 3 + 9 ⋅ 2 = 2 3 + 3 2
18. 3 − 2 3 + 2 = 3 ⋅ 3 + 3 ⋅ 2 − 3 ⋅ 2 − 2 ⋅ 2 =
9−2=7
19. 2 − 3 3 4 + 3 = 2 ⋅ 4 + 2 ⋅ 3 −
3 3 ⋅ 4 − 3 3 ⋅ 3 = 8 + 2 3 − 12 3 − 3 ⋅
3 = 8 − 10 3 − 9 = −1 − 10 3