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Solving by Combining Like Terms
Solving by Using the Distributive Property
DCI
Equation Grab Bag
Word Problems
100
3h - 2 + 2h = 23
h = 5
100
3(x + 5) = 14
x = -1/3
100
7x + 3(x - 2) = 4
x=1
100
4c - 14 = 14
c = 7
100
WRITE AN EQUATION & SOLVE: The sum of two consecutive integers is 37. Write an equation to find both integers.
n + (n+1) = 37 n=18 n+1=19
200
3b - b - 12 = 4
b = 8
200
(d - 2)ยท3 = 42
d = 16
200
19 + 2(x - 4) = 23
x=6
200
4 + 3x = 0
x = -4/3
200
The sum of two consecutive even integers is 966. Write an equation to find the integers. What are they?
n + (n+2) = 966 n=482 n+2=484
300
8a + 12 - 6a = -9 + 5
a = -8
300
11(4 - w) = -55
w=9
300
7 + 5(5a + 4) = 77
a=2
300
6x + 4(y - 2 - x) + y - 2x = -23
y = 3
300
Tom's car needs 4 new brakes. He has a coupon for $14.99. Tom's total for his purchase was $63.61. Write an equation and determine how much each brake pad cost?
c= cost of brake pad 4c - 14.99 = 63.61 c=19.65 Each brake pad cost $19.65
400
-6 = -13y + 33 + 5y
y = 39/8
400
-2(-6x - 9) = 324
x = 51/2
400
-16 = -4(3x - 4) +12 - x
x= -44/13
400
DAILY DOUBLE CHALLENGE!
x=34/3
400
Sarah goes to the beach and buys 15 souvenirs for her friends. She also buys a $5 t-shirt for herself. Her total bill was $57.50. Write an equation and determine how much each souvenir cost?
s= souvenir cost 15s + 5 = 57.50 s=3.50 Each souvenir cost $3.50
500
78 - 7= 5c + 12 - c + 4 +7c
c = 5
500
-14(2 + 5a) = 84
a = -8/5
500
0.5(y + 8.5) - 5y + 4 = 10.95
y=-0.6
500
x - 12x = 0
x = 0
500
Justin needs to buy dog food. Each bag of dog food weighs 7.89 lbs. Justin's dogs eat 26.826 lbs of dog food every week. How many bags does Justin need to buy this week to feed his dogs?
b=bags of dog food 7.89b = 26.826 b=3.4 Justin needs to buy 4 bags of dog food to feed his dogs.