Solving Equations
z - 5 = -20
z = -15
x + 4 < 10
x < 6
|x - 6| = 5
Hint: Set up 2 cases
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.
4x + 9 = 33
x = 6
4p - 18 ≤ -2
p ≤ 4
|x - 4| + 1 = 7
Hint: Set up 2 cases
x = -2
x = 10
Chrissy earns $7.50 per hour on the weekends babysitting. How many hours will she need to babysit to earn at least $120?
h = hours Chrissy needs to work
Equation: 7.50h ≥ 120
Solve: h ≥ 16
Chrissy need to work 16 hours
-2(x - 9) = -24
x = 21
2(6x - 5) < 14
x < 2
4|x + 3| = 36
Hint: Isolate the absolute value, then set up 2 cases
x = -12
x = 6
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
3a + 12 - 6a = -9
a = 7
2z + 5z - 3 > 11
z > 2
5|x - 7| = 35
Hint: Isolate the absolute value, then set up 2 cases
x = 14
x = 0
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
2(k + 12) + 7k - 8 = 52
k = 4
3 - 5(a + 4) ≥ -a + 7
a ≤ -6
5|x - 7| - 4 = 11
Hint: Isolate the absolute value, then set up 2 cases
x = 10
x = 4
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