Integers
Write an integer to represent each situation and then tell what 0 means for the situation:
A. loss of 6 pounds
B. a withdrawal of $25
C. an elevation of 1,200 feet
D. an elevator going down 7 floors
Write an integer to represent each situation:
A. loss of 6 pounds is -6, starting weight
B. a withdrawal of $25 is -25, starting balance
C. an elevation of 1,200 feet is 1,200, sea level
D. an elevator going down 7 floors is -7, starting floor
Graph the inequality:
x > 5
OPEN CIRCLE at POSITIVE 5 going RIGHT
Lamont has read 152 pages of a 450-page book. How many more pages does he have to read to finish the book?
Write the equation: _____________
Solve algebraically.
Equation: x+152=450
Solution: 298 pages
Solve the inequality:
x-1.3 > 12
x > 10.7
OPEN CIRCLE at POSITIVE 10.7 going RIGHT.
Write an inequality for the following statement:
A. A ferry can safely transport at most 220 people.
B. In many states, you must be at least 16 years old to obtain a driver’s license.
C. It is not safe to use a light bulb of more than 60 watts in this light fixture.
D. The Navy’s flying squad, the Blue Angels, makes more than 75 appearances each year.
A. f ≤ 220
B. 16≤x
C. 60>x
D. x>75
What is the value of -(-8) ?
8
Graph the inequality
r < -1
OPEN CIRCLE at NEGATIVE 1 going LEFT
Samantha was scanning photos. She scanned 123 but still has 296 left to scan. How many pictures did she start with?
Create equation: ______________
Solve algebraically.
Equation: x-123=296
Solution: 419 pages started with
Solve and graph the inequality:
8.75 ≤ x + 9
x ≤ -0.25
OPEN CIRCLE at NEGATIVE 0.25 going LEFT
Your brother has $2000 saved for a vacation. His airplane ticket is $637. Write an inequality to find how much he can spend for everything else.
2000 ≥ x+637
Order the following values from least to greatest on a number line:
-2.5, 1, -4, 6, 0.5, -4.5, -2
-4.5, -4,-2.5, -2, 0.5, 1
Solve and graph the inequality:
6 + x ≤ -6
x ≤ -12
CLOSED CIRCLE at NEGATIVE 12 going LEFT
Julio made $9.00 per hour working at a stable. How many hours did he work in a week if his weekly pay before deductions was $193.50?
Equation: 9x=193.50
Solution: 21.5 hours
Solve the inequality:
-1n < -3
n > 3 or 3 < n
OPEN CIRCLE at POSITIVE 3 going RIGHT
Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on Monday and 65 blankets on Wednesday. Write an inequality to find out how many blankets the team must donate on Friday to make or exceed their goal?
m+42+65 ≥ 160
or
m+107 ≥ 160
What is the opposite value of |-3-4|?
-7
Solve and graph the inequity:
-2x ≥ 4
x ≤ −2
CLOSED CIRCLE at NEGATIVE 2 going LEFT
The average American composted about 1.5 pounds of trash per day. How many pounds would the average American compost in 90 days?
Create equation: __________-
Solve algebraically.
Equation: x/90=1.5
Solution: 135 pounds
Solve the inequality and graph:
n/-9.2 < -3
n > 27.6
OPEN CIRCLE at POSITIVE 27.6 going RIGHT
A paper plane contest needs at least 65 people to enter. So far, 43 people have entered. Write the inequality that represents this situation.
Inequality: x+43>/= 65
What is the result of finding the opposite of the opposite of a number?
The result is the number you start with.
Solve and graph the inequality:
-4n < -16
4 < n or n > 4
OPEN CIRCLE at POSITIVE 4 going RIGHT
Sandy was playing a word game. Her total score for the last 7 turns was 159 points. What was her average score per turn?
Create equation: _____________
Solve algebraically.
Equation: 7x=159
Solution: about 22.714 points per game
Solve and graph the inequality
1/2 x < -8
x < -16
OPEN CIRCLE at NEGATIVE 16 going LEFT
A captain can fly a maximum fo 200 hours a month. He has flown 52 hours. Write an inequality that represents this situation.
x+52≤200