Show:
Solve and Graph the inequality
Compound inequalities
Write & Solve the inequality
Equations w/ variables on both sides
Equation Word Problems
100
Solve and graph: x + 8 > 11
x > 3 (Graph open circle on 3 shaded right)
100
Solve and graph: -1 < 9 + n < 17
-10 < n < 8
100
The sum of 5x and 2x is at least 14
5x + 2x >or equal to 14 7x > or equal to 14 x >or equal to 2
100
9x - 10 = 5x + 14
x = 6
100
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
Julie's sister is 8 years old
200
Graph the inequality: 2 < x
(Graph open circle on 2 shaded right)
200
Solve and graph: x + 8 is greater than or equal to 9 and x/7 is less than or equal to 1
x >or equal to 1 and x < or equal to 7
200
5 less than a number y is under 20
y - 5 < 20 y < 25
200
Tell whether x = -7 is a solution to the following equation. -3x - 13 = -7x + 15
no
200
Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How much did each Hannah Montana t-shirt cost?
$12.99
300
Graph the inequality: 5 is greater than or equal to x
(Graph closed circle on 5 shaded left)
300
-50 < 7k + 6 < -8
-8 < k < -2
300
The sum of twice a number and 5 is at most 15. What are the possible values for the number?
2x + 5 < or equal to 15 2x < or equal to 20 x < or equal to 10
300
-15x = -5(3x + 7)
no solution
300
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?
Each box has 28 apples
400
Graph the inequality: x is greater than or equal to 20
(Graph closed circle on 20 shading right)
400
Solve and Graph: -1 < 9 + n < 17
-10 < n < 8
400
You want to rent a limousine for a trip to the city. The limo costs $700 for the night and $0.15 per mile. You have $750 to spend. Write an inequality that represents this scenario. How many miles can the limo travel?
333 miles
400
-9m + 16 = -5m - 4(m - 4)
All real numbers
400
Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?
17r + 2.97 = 34.76 Each bag of raisins $1.87
500
Graph the inequality: x is greater than or equal to -11
(Graph with closed circle on -11 shaded to the right)
500
Solve and graph: 6 + 7m < 6m - 5 or 3m - 7 < 5 +6m
m < -11 or m > -4
500
Sara goes to Fredonia University. She has $900 in her savings account. She needs to buy a small laptop computer before the next semester. The laptop costs $600. Every 2 weeks she withdraws $60 from her savings account for food. How many times can Sara withdraw money for food? Write an inequality to explain.
5 times
500
-3y - (10y - 25) = 6(-3y -10)
y = -17
500
When you count by ones from any integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?
n + n + 1 + n + 2 = 48 3n + 3 = 48 3n = 45 n = 15 The three consecutive integers are 15, 16, and 17