Name: ___________________________________________________
Miss LoVerde – Period _______
Date: _______________________
Review for Unit 2 Test
Combine Like Terms to Simplify:
1. 12x + 5 + 3x – 15
2. 10 + 5(9x – 9)
3. -4x + 7 – 6x – 9
4. 3x + 2(-x+1)
Solve the equation:
5. -15 = 3x + 6
6.
7. 3(𝑥 − 9) = −18
8. 3𝑥 + 2 + 𝑥 = 10
9. 2𝑥 + 7 − 9𝑥 = 35
10. 4(𝑥 − 3) + 2𝑥 = 12
11. 2(𝑥 + 3) = 15𝑥 + 6 − 13𝑥
12. 12 = 6(𝑛 − 2) − 4𝑛
13. 9𝑦 = 5𝑦 − 36
14. 20𝑥 − 7 = 18𝑥 − 3
15. 4(𝑚 − 3) = 12 − 2𝑚
16. 3𝑚 − 10 + 5𝑚 = 8𝑚 − 5
17. 3𝑥 − 16 = 8𝑥 + 29
18. −16 + 3𝑥 − 2 = 2(𝑥 − 7) + 5𝑥
19.
1
3
𝑥 = −10
𝑦
20.
−7
3
4
+ 5 = −2
𝑦 − 4 = −7
21. 2(4 – 2r) = -2(r + 5)
22. 8z – 7 = 8 + 3z +10
23. 3(n – 1)+2n = 5n + 3
24. -6 + 10d = 5(2 – d) + 7d
Write an equation and solve:
25. Four times the sum of a number x and two is twelve.
26. Six times x plus seven minus five times x is negative 3.
27. Four less than three times sum of a number x and 2 is 29.
28. Joey and Donna went to two different amusement parks. Joey’s park charges $15 for
entry plus $3 for each ride. Donna’s park charges $3 entry and $6 for each ride. How
many rides would Joey and Donna need to go on to spend the same amount of money?
29. Happy Paws charges a flat fee of $20 plus $2 per hour to keep a dog during the day. A
rival service, Woof Watchers, charges a flat fee of $16 plus $3 per hour. Find the number
of hours for which you would pay the same total fee to both services.
30. The perimeter of the triangle below is 95. Find the value of x.
x+5
2x + 20
2x + 10
31. The perimeter of the triangle and trapezoid below are the same. Find the perimeter
of the triangle.
x+1
x+6
2x-5
2x-5
x+2
x+4
2x +1
Answers:
12. n = 12
24. d = 2
1. 15x – 10
13. y = -9
25. 4(x + 2) = 12
2. 45x – 35
14. x = 2
26. 6x + 7 – 5x = -3
x = -10
3. -10x – 2
15. m = 4
27. 3(x + 2) – 4 = 29
x=9
4. x + 2
16. No solution
28. 15 + 3x = 3 + 6x
rides
x=4
5. x = -7
17. x = -9
6. y = 49
18. x = -1
29. 20 + 2x = 16 + 3x
hours
7. x = 3
19. x = -30
30. 5x + 35 = 95
8. x = 2
20. y = -4
31. 3x + 12 = 7x - 8 x = 5 so
P = 27
9. x = -4
21. r = 9
10. x = 4
22. z = 5
11. all real numbers
23. No Solution
x=1
x=4
x = 12