Name: ___________________________
Period: ____
Expressions Review #3
Math Prep
1. Solve: 20 − 32
2. Write an algebraic expression: The letter v stands for “any number”. Add 10 to v, then
divide your answer by 11.
3. What is the coefficient? How many terms are there? −12𝑥 3 − 11
4. Evaluate: −2(𝑎 + 3); 𝑎 = 4
5. Simplify: 𝑥(𝑎 + 𝑏)
6. Simplify: 𝑥(5𝑥 + 7) + 3
7. Simplify: (3𝑥)2 + 𝑥
1 2
8. Simplify: (7)
9. Mr. Smart paid $11.00 to buy y pencils at 20 cents each. Write an expression to show
how many dollars he got back in change.
10. The expression 3(1 + 7)is the product of how many factors?
11. Evaluate: 2x-10+4x if x=3
12. Distribute: y(-3x -4)
13. Rewrite:
𝑎−𝑏
2
+6
14. Evaluate: 43 + (100 ÷ 5)
15. Write an algebraic expression for: The letter y stands for any number. Divide y by 6, then
subtract 4 to your answer.
16. How many terms are in this expression? −4𝑥 2 𝑦 + 𝑥𝑦 + 2𝑧 − 14 + 𝑧 2
17. Evaluate: −5 + 𝑥 3 ; 𝑥 = 2
18. Simplify: 4(𝑥 − 6𝑦)
19. Simplify: 54
20. Write an algebraic expression for: Multiply y by 3, then cube your answer.
6
21. What is the operation for: 𝑥 (Hint: Sum, product, quotient, factor)
22. Solve: 𝑥 =
4𝑟 2
2
;𝑟 = 5
23. Simplify: 2𝑥(3𝑥 − 7)
24. Simplify: −2𝑥 2 − 5𝑦 2 − 𝑥 2 − 6𝑦 2 − 4