Transcript WORD PROBLEMS: Solving Equations

Warm-up 9/28
Solve…..
1. 3 2𝑥 − 5 = 7 𝑥 + 1 − 3
2.
𝑚+1
3
=9
3. The length of a rectangle is 3 inches longer than twice the
width. The perimeter of the rectangle is 36 inches. What are the
dimensions of the rectangle?
1. (3)
2. (4)
3. (a) 8x-28
(b) -3x-18
(c) 5x-8
4. (a) x=7
(b) x=11
(c) -3
(e) y= -8
(f) x=5/3
(d) x=21
5. (a) 7 (x+6) = 49
(b)
3
2
x= 1
𝑥 − 2 = 2𝑥 + 1
6. (a) 8(2x+5)
(d) 2x+10
x= -8
(b) 8(2 ∙ 3 + 5) =88
(c) 8 2𝑥 + 5 = 160
x= 7.5
WORD PROBLEMS:
Solving Equations
NUMBER PROBLEMS
1. When 4 times a number is increased by 40, the answer is the
same as when 100 is decreased by the number. Find the
number.
NOW YOU TRY #2!
GENERAL PROBLEMS
1. A repair bill on a sailboat came to $1603, including $532 for
parts and the remainder for labor. If the cost of labor is $63
per hour, how many hours of labor did it take to repair the
sailboat?
NOW YOU TRY #2!
GENERAL PROBLEMS
3. The perimeter of a rectangle is 30 inches. If the length is one
inch longer than the width, find the dimensions of the rectangle.
BREAK-EVEN PROBLEMS
1. You are choosing between two health clubs. Club A offers
membership for a fee of $40 plus a monthly fee of $25. Club
B offers membership for a fee of $15 plus a monthly fee of
$30. After how many months will the total cost at each
health club be the same?
NOW YOU TRY #2!
CONSECUTIVE INTEGER PROBLEMS
1. Find two consecutive integers whose sum is 123
CONSECUTIVE INTEGER PROBLEMS
3. Find two consecutive EVEN integers whose sum is−38.
CONSECUTIVE INTEGER PROBLEMS
6. Find three consecutive ODD integers whose sum is 75.
HOMEWORK:
FINISH WORD PROBLEM
WORKSHEET
Credit will ONLY be given if you write an
equation and solve it!