Name ________________________ Period ________
Activity Sheet 1-10
Solving Advanced Algebraic Equations
MA
Directions: Work backward through Order of Operations,“(GS)EDS” = Answer, to find the
L
R
value of the unknown variable. Show each step in vertical format. Use only the set (  R) real
numbers for all variables. Some problems will have more than one solution. Write all solution(s)
for the variable.
1. 3x + 19 = 31
x = _________
2. – 8x + 95 = – 425
3. 2(3x + 9) = –36
x = ________
4. 8.5(13x – 27) = –119
5. 2x2 + 5 = 77
x = ________
6.
3x2 – 18 = 225
x = ________
x = ________
x = ________
7. –6(3x2 – 9) = –234
8.
9.
10.
x = ________
2(3x2 + 90) 2 = 78408
x = ________
– 4(2x2 – 80) 2 + 900 = –8316
x = ________
3[(–3x2 + 50) 2 – 9600] + 19000 = 292
x = ________