Solving by Combining Like Terms
Write the following in slope-intercept form: y = mx + b
4x + y = -8
y = -4x - 8
WRITE AN EQUATION & SOLVE: Angela is 3 years older than her sister. Angela's age is 15 years old. How old is her sister?
n - Angela's sister's age
n + 3 = 15
n = 12
Angela's sister is 12 years old.
Write the following in slope-intercept form: y = mx + b
-y = (1/2)x - 2
y = -(1/2)x + 2
Mrs. Combs bought 7 pairs of sneakers for a total of $500.65. Each pair cost the same amount. How much did each pair cost? Round your answer to two decimal places.
n - # of shoes
7n = 500.65
n = 71.52
Each pair cost $71.52
Write the following in slope-intercept form: y = mx + b
2x + y = 3 - 4x
y = -6x + 3
Blake has 4 boxes of apples. Each box has the same number of apples. After Blake eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?
a - # of apples in each box
4a - 3 = 109
a = 28
There were 28 apples in each box.
Write the following in slope-intercept form: y = mx + b
3x -2y = 18
y = (3/2)x - 9
Lola goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. Her total cost was $34.76. What was the cost for a bag of raisins?
r = cost of a bag of raisins
17r + 2.97 = 34.76
r = 1.87
Each bag of raisins cost $1.87
Write the following in slope-intercept form: y = mx + b
(1/2)x + 2y = 18
y = -x + 9
When you count by ones from any 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 + n + 1 + n + 2 = 48
n = 15
The integers are 15, 16, and 17.