Two Step Equations
For problems #1 through #5, solve the equations for the unknown variable. Check answers through substitution.
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| 1) 4m – 9 = 31
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| 2) 81 = 5b + 6
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| 3) –4y + 3 = –17
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| 4) –68 = –5x – 8
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| 5) 2.3x – 0.4 = 15.7
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Inequalities
Write an inequality for each of the number line graphs using x as the variable to represent all solutions. For example: “x is greater than or equal to -8”.
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| 6) Write an inequality.
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| 7) Write an inequality.
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| 8) Write an inequality.
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| 9) Write an inequality.
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| 10) Print out the number line below and graph the inequality for b > –4. Describe the graph by writing the location of the beginning point of the graphed arrow, whether it is an open or closed point, and in what direction the graphed arrow is pointing.
Printable Number Line
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| 11) Print out the number line below and graph the inequality for k ≤ 0. Describe the graph by writing the location of the beginning point of the graphed arrow, whether it is an open or closed point, and in what direction the graphed arrow is pointing.
Printable Number Line
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Solving Inequalities – Addition and Subtraction
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| 12) Print out the number line, solve the inequality k + 7 ≤ 10, and graph the solution. Determine the direction of the line by testing a point on the graph. Describe the graph of the inequality by stating the location of the beginning point of the graphed arrow, stating whether the beginning point is open or closed, and stating the direction the graphed arrow is pointing. Also write a general statement describing all solutions.
Printable Number Line
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| 13) Print out the number line, solve the inequality t – 5 ≥ –4, and graph the solution. Determine the direction of the line by testing a point on the graph. Describe the graph of the inequality by stating the location of the beginning point of the graphed arrow, stating whether the beginning point is open or closed, and stating the direction the graphed arrow is pointing. Also write a general statement describing all solutions.
Printable Number Line
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Solving Inequalities – Multiplication and Division
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| 14) Print out the number line, solve the inequality n/5 > 2, and graph the solution. Determine the direction of the line by testing a point on the graph. Describe the graph of the inequality by stating the location of the beginning point of the graphed arrow, stating whether the beginning point is open or closed, and stating the direction the graphed arrow is pointing. Also write a general statement describing all solutions.
Printable Number Line
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| 15) Print out the number line, solve the inequality –5q < –40, and graph the solution. Determine the direction of the line by testing a point on the graph. Describe the graph of the inequality by stating the location of the beginning point of the graphed arrow, stating whether the beginning point is open or closed, and stating the direction the graphed arrow is pointing. Also write a general statement describing all solutions.
Printable Number Line
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| 16) Solve.
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| 17) Find the value of “2a + 3b” if a = 7 and b = 9.
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| 18) The difference between twice a number and 16 is 30. Which math statement is an equation that represents this relationship?
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| 19) Triangle ABC is a right triangle. What is the measure of angle ACB?
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| 20) Evaluate.
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| 21) You have a piece of cardboard that is 10 inches by 10 inches. You can make a topless box by cutting a square from each of the four corners and folding up the sides. What size square (in whole inches) cut from each corner would give a box that has the greatest volume? Justify your answer.
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| 22) Observe the following pattern of shapes made with tile squares. Continue the pattern by drawing the next six figures. How many tile squares would it take to make the tenth figure? Describe a rule for making additional figures that fit the pattern?
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| 23) What is the volume of the 3-D shape below if the Area of the Base is 65.7 sq in and the thickness (height) of the shape is 10 in?
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| 24) How many square inches of plastic are needed to make this picture cube? There are two panels of plastic per face as the picture is held in place between the two pieces of plastic.
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| 25) Write an equation for the following problem, and then solve. Rebecca traveled 500 miles at a speed of 65 MPH. How many hours did she travel? Round the answer to the nearest tenth of an hour.
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| 26) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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