6-1: One Step Equations
Identify the solution to the following equation:
12 + g = 28
g= 16
Show the greater than or equal to sign.
>
_
The MINIMUM deposit for a checking account is $75. Write an inequality to represent the amounts in dollars, a, that could be deposited in a new checking account.
a is greater than or equal to $75
y + 1/3 = 3 2/3
a. 2 1/3
b. 2 2/3
c. 3
d. 3 1/3
d. 3 1/3
Which of the options are solutions to the inequalty?
b + 8 >/ 20
a. 11
b. 12
c. 13
12, 13
Solve the equation.
4.5x = 18
4
Write an example of an inequality.
Answers will vary.
x>7
To win a medal in a 5K race, a runner's time must be LESS THAN 22 minutes. Write an inequality to represent the times in minutes, m, that would win a medal.
m < 22
Fidencio is using 3 1/2 inch tiles along the 28 inch ledge of his bathroom counter. Solve the equation 3 1/2t = 28 to find t, the number of tiles Fin will need.
8
Eve has $50 to spend on matching bracelets that cost $3.75 each for her volleyball team. The inequality 50 >/ 3.75b, where b is the number of bracelets, represents the situation. If there are 16 teammates, how many will possibly receive a bracelet?
a. 16
b. 15
c. 14
d. 13
e. 12
13, 12
Solve the equation.
36.3/y = 12.1
3
Graph x < 4 on a number line.
Hollow circle at 4, arrow to the left.
Which of the following are solutions to the inequality h - 4 > 9
12
13
14
14
Together, Chris and Madison have saved $478.50, if Chris saved $225 of that total, how much did Madison save?
$253.50
Graph x < 1/3
Hollow circle at 1/3, arrow to the left.
What does the term inverse mean?
List the inverse operations
Opposite
Multiplication & Division
Addition & Subtraction
Graph x - 7 > 13 on a number line.
Hollow circle at 20, arrow to the right.
Which of the following are solutions of the inequality n/7 < 6?
42
41
40
41, 40
Together, Chris and Madison have saved $478.50, if Chris saved $225 of that total, how much did Madison save?
What equation(s) can be used to solve this?
a. m + 478.50 = 225
b. m + 225 = 478.50
c. 225 + 478.50 = m
d. 225 + m = 478.50
e. 478.50 + m = 225
B & D
Maliq has 50 tickets and splits them among some of his friends, f. He is left with 6.
Write the equation.
50/f = 6
Give an example of an addition and a subtraction equations that each have the solution of 10.
Answers will vary.
EX.
4 + x = 14
15 - x = 5
What inequality does the number line show?
(Teacher will draw on board)
Answer will be written on board.
Jessica has $32 to buy movie tickets that cost $5.25 each for her and her friends. The inequality 32>/ 5.25t represents the number of tickets, t, she could buy. What is the greatest number of tickets Jessica can buy?
6
A one-topping pizza costs $12.99. This is $6.50 less than the cost of a specialty pizza. Write a SUBTRACTION equation that could be used to find the cost, c, of the specialty pizza.
x - 6.50 = 12.99
DOUBLE DOUBLE, Worth 1000 points if you get it correct without teacher help!
Jordan had 8 dollars. His mom gave him x more for taking out the trash. Jordan then gave half of his money to a homeless man. He now has 12 dollars.
Write the equation
(8+x)/2 = 12