Graphing
Describe the graph of the following inequality:
y > 5
open circle at 5 pointing to the right
Write the best inequality for each word statement.
Lynda is older than Suzy. Suzy is 15 years old.
Let y = Lynda's age.
y > 15
For each inequality, describe the situation that could be described by the inequality.
The inequality is n >= 25 and n < 1000, where n represents the number of people at the concert
there were 25 or more people at a concert but less than 1000
Use words to describe what the symbols mean in the inequalities.
The inequality 6 > w means 6 is __________________________.
greater than w
Solve the equations involving implied coefficients. Show all of your work.
-27 = -3c + -6c
3 = c
Describe the graph of the following inequality:
z >= 10
closed circle at 10 pointing to the right
Kyle has more CDs than his sister. His sister has 10 CDs.
The variable represents x the number of CD's that Kyle has.
Write an inequality to describe the number of CD's Kyle has.
k > 10
Look at the inequalities. For each inequality, write a situation that could be described by the inequality.
The inequality is a > 10 and a < 32, where a represents the age of a person.
a person is older than 10 years and younger than 32
Use words to describe what the symbols mean in the inequalities.
The inequality y <= 3 means y is __________________________________________.
less than or equal to
Solve the equations. Show all of the steps involved. Check your work by substituting the value for the variable back into the original equation.
-2x - 3 + 5 = -10
x = 6
-2(6) - 3 + 5 = -10
Describe the graph of the following inequality
8 > y
open circle at 8 pointing to the left
Todd has an older sister who is 16.
The variable represents x represents Todd's age.
Write an inequality to describe Todd's age. ______________________________________.
t < 16
Write compound inequalities. Then graph them on a number line.
x >= 220 and x < 330 The compound inequality is ____________________.
220 <= x < 330
Graph: closed circle at 220 and open circle at 330 shaded in between
Write an inequality to describe Becca's score.
Becca scored more points than Patty. Patty scored 10 points. Let b = Becca’s score.
b > 10
Solve the equations that have variables on both sides of the equal sign. Show all of your work. Check your answer by substituting the value back into the original equation.
3 + x = -2 + x + x
3 + 5 = -2 + 5 + 5
Describe the graph of the following inequality:
y >= 7
closed circle pointing to the right
Translate each word statement into an inequality. Write a statement that describes the inequality, then graph the inequality on the number line. Use the variable x for each statement.
Scott is at most 6 feet tall.
The variable x represents Scott's height
What is the inequality that describes Scott's height ______________________________________.
x <= 6
x is less than or equal to 6
Write compound inequalities. Then graph them on a number line.
x > 70 and x <= 120 The compound inequality is ____________________.
70 < x <= 120
Graph: open circle at 70 and closed circle at 120 shaded in between
Write the best inequality for each word statement.
Tom got a 95 on the quiz. Ted got a higher score than Tom. Let x = Ted’s score.
x > 95
Solve the equations that have variables on both sides of the equal sign. Show all of your work. Check your answer by substituting the value back into the original equation.
-2-6-x= -2x - 6
x = 2
-2-6-2 = -2(2) - 6
Describe the graph of the following inequality:
m <= 31
closed circle pointing to the left
The low temperature of the day was at least 25 degrees.
The variable x represents the temperature
Write an inequality to describe the temperature.
x >= 25
Write compound inequalities. Then graph them on a number line.
10 > x and x > 4 The compound inequality is ____________________.
4 < x < 10
Graph: open circles at 4 and 10 shaded in between
Write the ban inequality to describe the temperature.
The temperature rose above 40 degrees. Let t = the temperature.
t > 40
Solve the equations using the Distributive Property. Be sure to show your work and check your answers.
-2(-x+ -1)= -12
2x + 2 = -12
x = -5
-2 (-5 + -1) = -12