This document contains a 30-question quiz on applied algebra concepts including simplifying expressions using properties like the commutative, associative, and distributive properties. Questions involve operations like addition, subtraction, multiplication, and division with variables, exponents, and fractions. Students are asked to simplify expressions, use properties to rearrange terms, solve equations, perform order of operations, and evaluate expressions.

1. APPLIED ALGEBRA I: QUIZ 2 (LESSONS 1 TO 6)
1
Name: ________________________
Date: ________________________
1. If a = 5 and b = 6…
𝒂 − 𝟐 + 𝒃 =
2. If d= 5 and f= 4…
𝟒( 𝒅 𝟐
+ 𝟕𝟓) − 𝟏𝟎𝟎𝒇
3. 𝒂 ∙ 𝒂 ∙ 𝒂 ∙ 𝒂 =
Write using exponents
4. 𝟐𝒂𝒃 + 𝟐𝒃 − 𝟒𝒂𝒃
Use the commutative
property to simplify.
5. 𝟒𝒃𝒄 + 𝟔𝒃𝒄 − 𝟏𝟐𝒂𝒃
Use the AssociativeProperty
to simplify.
6. Simplify:
(5𝑔)7𝑔 =
Simplify if possible. If you cannot simplify, writenot possible. (NP) (#7 to 12)
7. 𝟑𝒙 ( 𝟐𝒚𝒛) = 8. 𝟔𝒗 − 𝟏𝟐𝒗 + 𝟕𝒚 − 𝟑𝒗 9. 𝟓 + 𝟏𝟎𝒔𝒕 + 𝟏𝟐 − 𝟕𝒔𝒕
10. 5𝑎 + 2𝑏 − 7𝑎 + 2𝑏 11. (3𝑥3)(4𝑥2) = 12. 𝑎( 𝑏𝑐) = ( 𝑎𝑏) 𝑐
This is an example of
the associative
property.
TRUE FALSE

2. APPLIED ALGEBRA I: QUIZ 2 (LESSONS 1 TO 6)
2
P—E—MD—AS (#13 TO 15)
13. 12 ÷ 4 ∙ 2 = 14. 24 ÷ (2 + 2) ÷ 1 + 4 15. 4 ∙ 4 ÷ 2
REWRITE, THEN SOLVE …SHOWTHE USE OF THE COMMUTATIVEOR ASSOCIATIVEPROPERTY
16. (2 ∙ 8) ∙ 5 17. 82 + 26 + 18 18. 27𝑎𝑏 − 30𝑑 − 26𝑎𝑏 + 20𝑑
19. 10𝑏𝑐 + 12𝑎 − 30𝑏𝑐 + 8𝑎 20. 5𝑠 − 12𝑎𝑑 + 4𝑎𝑑 − 8𝑠 21. 4𝑎𝑏+ 3𝑐 − 15𝑎𝑏 − 2
Simplify the equations below….all answers should be circled!!!
22. 9 ∙
𝑧
3
∙ 3 == 23.
4𝑏
3
∙
6
4𝑏
==
24. 0 ∙ 1,209 =
25. 14 ∙
1
14
= 26. 8 ∙
1
8
= 27. 49 ÷ 7 =
28. 32
= 29. 33
=
30.
24
3
=