1. Question 1
Evaluate 3(t – 4) if t = 6.

2. Question 2
Evaluate 6s – 3t if s = 4 and t = -2.

3. Question 3
Evaluate 3m2 – 4 if m = -3.

4. Question 4
The formula for rewriting a Fahrenheit temperature as a Celsius temperature is 5(𝐹 −32) 9 , where F equals the temperature in degrees Fahrenheit. Find the Celsius equivalent of 77 Fahrenheit.

5. Question 5
Leah has already read 20 pages of a book. She plans to read 5 pages each day from now on. Write an expression that represents the total number of pages she will have read in d days.

6. Question 6
Mehmet started a new exercise routine. The first day, he did 2 sit-ups. Each day after that, he did 2 more sit-ups than the previous day. If he continues this pattern, what algebraic expression can be used to help find the total number of sit-ups on the tenth day? Use the expression to find the number.

7. Question 7
State whether the following conjecture is true or false. If false, provide a counterexample. Subtraction of whole numbers is associative.

8. Question 8
Simplify a  (9  b). Justify each step.

9. Question 9
Use the Distributive Property to rewrite -3(x – 2).

10. Question 10
Use the Distributive Property to rewrite 1 4 (x – 16).

11. Question 11
Write 8z + z – 5 – 9z + 2 in simplest form.

12. Question 12
The cost of a set DVDs after a 25% markup can be represent by the expression c c. Simplify the expression. Then determine the total cost of the DVDs after the markup if the original price is $40.

13. Question 13
Find (4x – 2) + (x – 4).

14. Question 14
Find 3(x – 8) + (4x – 5).

15. Question 15
Find (-5x – 9) – (-6x – 1).

16. Question 16
Find the GCF of 4x and 28x.

17. Question 17
Factor 3x + 11.

18. Question 18
Lily’s favorite picture has an area of (3x + 12) square inches. Find possible dimensions of the picture.

19. Answers 6 30 23 25 C 20 + 5d 2d; 20 sit-ups
False; (2 – 5) – 3 ≠ 2 – (5 – 3)

20. More Answers a  (9  b) = (a  9)  b Associative Property (x)
= (9  a)  b Commutative Property (x)
= 9ab Simplify
-3x + 6
1 4 x – 4 -3
1.25c; $50

21. More Answers (continued)
5x – 6
7x – 29
x – 8 4x
Cannot be factored
3 inches by (x + 4) inches