Solving Equations
4x + 9 = 33
x = 6
Solve for w:
A=lw
w = A/l
4p - 18 ≤ -2
p ≤ 4
|x - 6| = 5
x = 11
x = 1
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
Equation: n + 3 = 11
Solve: n = 8
Julie's sister is 8 years old.
3a + 12 - 6a = -9
a = 7
Solve for x:
y = mx + b
x = (y - b)/ m
2(6x - 5) < 14
x < 2
4|x + 3| = 36
x = -12
x = 6
Bella earns $7.50 per hour on the weekends babysitting. How many hours will she need to babysit to earn at least $120?
h = hours Bella needs to work
Equation: 7.50h ≥ 120
Solve: h ≥ 16
Bella need to work 16 hours
-2(x - 9) = -24
x = 21
Solve for l:
P = 2l + 2w
l = P/2 - w
3 - 5(a + 4) ≥ -a + 7
a ≤ -6
5|x - 7| ≤ 35
x ≤ 14 AND x ≥ 0
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 = apples in the box
Equation: 4a - 3 = 109
Solve: a = 28
28 apples in each box
2(k + 12) + 7k - 8 = 52
k = 4
Solve for h:
A = 1/2 bh
h = (2A)/b
7 - (-2b + 10) < 6b - 8 + 5
b > 0
5|x - 7| - 4 > 11
x > 10 OR x < 4
Ms. Soter goes to the grocery store and purchases 17 bananas and a $2.97 jar of peanut butter. Her total cost was $34.76. What was the cost for a banana?
b = cost of a banana
Equation: 17b + 2.97 = 34.76
Solve: r = 1.87
Each banana costs $1.87
3x + 2(4x + 2) = 2(6x + 1)
x = 2
Solve for r:
V = πr2h
r = √(V/πh)
4/5(15x + 45) ≥ -6x
x ≥ -2
|3x − 9| = x + 1
x = 2
x = 5
Dylan has $100. He wants to buy a book for $20 and some CDs for $15 each. At most, how many CDs can Dylan buy?
c = amount of CD's
Inequality: 15c + 20 ≤ 100
Solve: c ≤ 5
Dylan can buy at most 5 CD's