Combining Like Terms
5h + 2 + 2h = 23
h = 3
−10p - 4 = 8 - 9p
p = -12
Does this equation have zero, one, or infinite solutions?
8v+6v−10 = 5 + 14v
No Solution
-15 does not equal 0
If you subtract 12 from my number and multiply the entire difference by -3, the result is -54.
x = 30
3b + b - 8 = 4
b = 3
2m−13 = 5 + 20m
m = -1
Does the following equation have zero, one, or infinite solutions?
8b = 3b + 5b
Infinite solutions
Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?
x = 28 apples
3a + 12 - 6a = -9
a = 7
−8(−8x − 6) = −6x − 22
x = -1
Does the following equation have zero, one, or infinite solutions?
6x+26x-10 = 8(4x+10)
No solution
-10 does not equal 10
Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?
x = $1.87
-6 = -3y + 4 + 5y
y = -5
8(1 + 5x) + 5 = 13 + 5x
x = 0
Does the following equation have zero, one, or infinite solutions?
14t = 6 + 2(6t − 7)
One solution
t = -4
When you count by ones fron many integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?
n=15
78 = 3c + 12 - c + 4
c = 31
5(2x + 6) = −4(−5 − 2x) + 3x
x = 10
Does the following equation have zero, one, or infinite solutions?
–2(7k + 1) = –2k − 2(6k + 1)
Infinite solutions
-14k-2 = -14k-2
Jana has an older sister and a younger sister. Her older sister is one more year than twice Jana's age. Jana's younger sister is three years younger than her. The sum of their three ages is 26. Find Jana's age.
7 years old