Expressions
6 + 2v – 2v – 8v – 3 + 4v
-4v + 3
6 = a/4 + 2
a = 16
3 − 2(n − 4) > −1
n < 6
Shanice had $20 to spend on seven raffle tickets. After buying them she had $6. How much did each raffle ticket cost?
$2
Sara's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long.
Write an inequality to determine the number of months, m, it will take Sara's hair to grow so it is at least 7 centimeters long.
m ≥ 2
–c + 5n + 7c + 3 + 9c - 15
15c - 12 + 5n
9x − 7 = −7
x = 0
26 + m ≥ 5(−6 + 3m)
m ≤ 4
Cody's Bikes rents bikes for $18 plus $5 per hour. Candice paid $48 to rent a bike. For how many hours did he rent the bike?
6 hours
Connor went to the carnival with $22.50. He bought a hot dog and a drink for $3.75, and he wanted to spend the rest of his money on ride tickets which cost $1.25 each. What is the maximum number of ride tickets that he can buy?
Let r = the number of ride tickets he can buy
r ≤ 15 tickets
–1 – 7(–p – 8)
7p + 55
-1 = 5+x/6
x = -11
Graph:
−2(b + 1) + 4 < 10
b > -4
Perry spent half of his weekly allowance at the movies. To earn more money his parents let him wash the dog for $8.50. What is his weekly allowance if he ended with $18.10?
weekly allowance = $19.20
Brenda has $500 in her bank account. Every week, she withdraws $40 for expenses. Without making any deposits, how many weeks can she withdraw this money if she wants to maintain a balance of at least $200?
x ≥ 7.9 hours
If a rectangle has a length of 5d - 1, and a width of
7x + 9, What is the perimeter of the rectangle?
14x + 10d + 16
37 = −3 + 5(x + 6)
x = 2
Graph:
3(6b − 1) > 18 − 3b
b > 1
Maria has 30 coins in her wallet. The coins are either nickels or dimes. The total value of the coins is $2.40.
How many coins are nickels?
(Hint: Value of nickels = 0.05x and value of dimes = 0.10(30 − x))
12
The length of a rectangle is 4cm longer than the width. The perimeter is no more than 28cm. What are the maximum possible dimensions for the rectangle?
w ≤ 5
w ≤ 9
If the perimeter of a rectangle is -16x + 20 and its width is 4x + 6, what is its length?
-12x + 4
5(2x + 6) = −4(−5 − 2x) + 3x
x = 10
Write an inequality with x on both sides whose solution is x ≥ 2.
Example: 2x ≥ x + 2
Linda was selling tickets for the school play. She sold 10 more adult tickets than children tickets and she sold twice as many senior tickets as children tickets.
If adults tickets cost $5, children's tickets cost $2, and senior tickets cost $3 and Linda made $700, how many adult tickets were sold?
60 adult tickets
Brice has $30 to take his brother and his friends to the movies. If each ticket costs $4.00, and he must buy tickets for himself and his brother, what is the greatest number of friends he can invite?
t ≤ 5.5