Download Best Wishes To: Date: ______ Period: ______ HW 1 Solving Multi

Best Wishes To: ___________________________________________
Date: _____________
Period: _______
HW 1
Solving Multi Step Equations and Inequalities
1. Solve the following equations. Determine if each of the following equations has one solution, no solutions, or
infinitely many solutions. IF the equation has one solution, what is the solution?
You MUST SHOW YOUR WORK!!!
A) x – 3 = 4(x - 6)
B) -5c – 9 + 2c = -1(3c + 9)
# of solutions: _______________
Solution: ____________________
D) 3n + 1 – 2n = n – 2
# of solutions: _______________
Solution: ____________________
E) -4 = a + 6 – 5a
# of solutions: _______________
Solution: ____________________
# of solutions: _______________
Solution: ____________________
# of solutions: _______________
Solution: ____________________
# of solutions: _______________
Solution: ____________________
C)  8 
F)
2
4
q q
3
3
k
 7  1
3
2. Solve the following Inequalities. Graph the solution to your inequality.
You MUST SHOW YOUR WORK!!!
A) 3x - 6 ≥ 27
B) 9 <
0
D) 2y + 2 – 9y ≥ 16
0
C) 8x  5  59
n
-1
5
0
E) 4  4x  12
0
0
F) 28  3x  25
0
Best Wishes To: ___________________________________________
Write the inequality that best describes the graph.
(3)
____________
3.
Date: _____________
0
______________
4.
(4)
______________
5.
(5)
_______________
6.
(6)
Period: _______
3
0
0
0
5
8
11
Write an algebraic equation or inequality for each of the following situations. DO NOT SOLVE!
7. Your age, x, must be must be at least 16 years to 8. Seven less than twice a number is 21.
drive on your own.
9) Keith has $100 in a savings account at the beginning of the summer. He wants to have at least $220 in the
account at the end of the summer. He deposits $20 each week from his summer job. How many weeks does
Keith need to work to meet his goal?
________________________________
_________________________
10. Which is NOT a solution of the inequality:
14 – 2x ≥ 8
A
-2
B
0
C 6
D -10
Best Wishes To: ___________________________________________
ANSWERS:
1) a. x = 7
d. no solution
2) a. x ≥ 11
d. y ≤ -2
Date: _____________
b. infinitely many solutions or All Real Numbers
e. a = 5/2
f. k = -24
b. -50 > n
c. x > 8
e. x ≥ -4
f. x ≥ 3/2
3) 0 < x ≤ 3
4) x ≥ 5
5) x > 8
6) x < 11
7) x ≥ 16
8) 2x – 7 = 21
9) 100 +20w ≥ 220; w ≥ 11, Keith will need to work at least 11 weeks.
10) C
c. q = - 4
Period: _______