Unit 3 Expressions Study Guide
Evaluate the following using order of operations.
1. Evaluate (7 – c)  b2 when b = 3 and c = 5
16. (11 + 44 – 5) ÷ (4 + 1)
2. Evaluate (4 + 8) ÷ 22 - 2
17. (6 - 2)2 + 9 ÷ 3 – 5
3. Evaluate x ÷ 5 + 4y when x =15 and y = 6
4. Simplify the expression 3(2x + 3) using the
distributive property.
5. Combine like terms. 2v + 8 + 4v + 7
6. Combine like terms. 8m + 7 + 9
18. Evaluate 52 + 7x – y when x = 4 and y = 2
19. Evaluate ab + 17 when a = 5 and b = 3
Simplify the following by combining like terms.
20. 2𝑥 2 + 6y + 6𝑥 2 + 10 – 4
7. Use the distributive property to simplify: 5(2b + 3)
8. How many terms are in the expression? 6x2 + 3x + 2
21. 5a – 3a + 8 + 2b + 6b
9. What does the 4 represent in the term 4n?
10. What does the “x” represent in the term 9x?
11. What does the 2 represent in the expression 3x + 2?
22. 3 + 9x + 4 - x
For #12-15 write the algebraic or numeric expression
12. The product of five and three
23. 8x + 9 + 4x – 2 – 2y
13. The sum of sixteen and a number, n
14. Three times a number, x, divided by 6
15. Seven less than the product of a number and four
24. Tickets to the basketball game cost $3 for students
and $5 for adults. The expression 3s + 5a represents
the total cost of buying tickets. How much will it cost to
buy 4 student tickets and 6 adult tickets? Write the
numerical expression and solve.