Graphing
Graph each of the inequalities on the number lines provided.
y > 5
open circle at 5 pointing to the right
Write the best inequality for each word statement.
Lynda is older than Suzy. Lynda is 15 years old. Let y = Suzy’s age.
y > 15
Look at the inequalities. For each inequality, write a 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
Graph each of the inequalities on the number lines provided
z >= 10
closed circle at 10 pointing to the right
Read each word problem. Use a variable to represent the unknown. Write the inequality, then graph it on a number line.
Kyle has more CDs than his sister. His sister has 10 CDs.
The variable represents ______________________________________.
The inequality is ______________________________________.
variable represents Kyle's CDs
k > 10
Graph: open circle at 10 pointing to the right
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
Graph each of the inequalities on the number lines provided.
8 > y
open circle at 8 pointing to the left
Read each word problem. Use a variable to represent the unknown. Write the inequality, then graph it on a number line.
Todd has an older sister who is 16.
The variable represents ______________________________________.
The inequality is ______________________________________.
variable represents Tod's age
t < 16
Graph: open circle at 16 pointing to the left
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 the best inequality for each word statement.
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
Graph each of the inequalities on the number lines provided.
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 most 6 feet tall.
The variable x represents ______________________________________.
The inequality is ______________________________________.
Statement: ______________________________________________________________.
x represents Scott's height
x <= 6
x is less than or equal to 6
Graph: closed circle pointing to the left
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
Graph each of the inequalities on the number lines provided.
m <= 31
closed circle pointing to the left
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.
The low temperature of the day was at least 25 degrees.
The variable x represents ______________________________________.
The inequality is ______________________________________.
Statement: ______________________________________________________________.
x represent the temperature
x >= 25
x is greater than or equal to 25
Graph: closed circle pointing to right
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 best inequality for each word statement.
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