Solving by Combining Like Terms
x + 3x = -8
x = -2
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.
True/False: 0 is a solution to 2y + 1 < -3
What is false (2*0 + 1 = 1 and 1 > -3)
A formula for work done moving an object is W = Fd.
F represents the amount of force used.
d represents the distance moved
Write a formula could be used to determine the amount of force
F=W/d
Solve for x:
y=mx+b
x= (y-b)/m
Employees must work at least 20 years in a company to receive full benefits upon retirement. Write an inequality to describe this situation.
What is y ≥ 20.
4(y - 2) + y = -13
y = -1
-6(m + 1) + 18 = 24
m = -2
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?
a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.
Solve: -7b > 42
What is b < -6
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.
Karen has two dogs. The larger dog weighs 1.4 pounds more than the smaller dog. The combined weight of the two dogs is 12.6 pounds. What is the weight,in pounds, of the smaller dog?
x=5.6
Solve: -3(2n + 1) > 9
What is n < -2
The sum of three consecutive even integers is 78. Find the three integers.
24, 26 and 28
The leading scorer in your basketball division averages 20 points per game over 25 games. You are second with a 19.5-point average over 24 games. You have one game left. How many points must you score to overtake the division's leading scorer?
What is at least 33 points?
(p > 32)
(p ≥ 33)