3) x -7 4) 3 < x. When multiplying or dividing by a NEGATIVE number, we SWITCH the inequality sign!

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1 Name: Date: / / WARM UP 1) What is the difference between an inequality and an equation.? QUIZ DAY! 2) One must be at least 35 years old in order to be president of the United States. If x represents age, write an inequality for those who are NOT old enough to be president. WRITE DOWN some ages that ARE NOT OLD ENOUGH to be president: Graph the following inequalities: Does the bird get the worm? 3) x -7 4) 3 < x Move x to the left. Switch 5) SOLVE and graph the following inequality: x + 1 < -2 6) SOLVE. Then, circle ALL the numbers that would make the inequality true. x 4 < 2 Move x to the left. Switch When multiplying or dividing by a NEGATIVE number, we SWITCH the inequality sign! For the following examples, would we need to switch the sign?? Circle yes or no. 7) yes / no x + (-2) > 10 9) yes / no -8x < 24 8) yes / no 10x ) yes / no -x > 9

2 Name: Date: / / To receive FULL CREDIT: 10 pt. Grade 1) Do stops FIRST, followed by other stops (in any order)! 2) MUST always be working on one of the tasks below, making GOOD use of time. 3) MUST sign your name at SUCCESSFUL completion of each task. Practice UNIT 5, DAY 3 Practice Work with a partner to complete the attached Inequality Quiz Practice worksheet. Check answers with the Answer Key. Do Math Games Solutions to Variable Inequalities (7.156) assignment. Earn 70% or higher. Student signature: After the New Lesson Complete the attached Inequality Challenge worksheet. Check answers with the Answer Key. Practice Complete the attached Solving and Graphing Inequalities worksheet. Check answers with the Answer Key. Student signature: Do your best on the QUIZ!! Student signature: Student signature: Student signature: How many squares are in the image to the right? STOP Complete any of the back table puzzles/ games/ activities. NO NEW NOTES today! Teacher will go over some common tricks with inequality questions focus on multiple-choice. Student signature: Student signature: Student signature:

3 MY NAME: MY PARTNER S NAME: INEQUALITY QUIZ PRACTICE Practice 1) What is the difference between an inequality and an equation.? 2) One must be at least 35 years old in order to be president of the United States. If x represents age, write an inequality for those who are old enough to be president. WRITE DOWN some ages that ARE OLD ENOUGH to be president: Graph the following inequalities: Does the bird get the worm? 3) x > -4 4) 6 x Move x to the left. Switch 5) SOLVE and graph the following inequality: -12 < 2x Move x to the left. Switch 6) SOLVE. Then, circle ALL the numbers that would make the inequality true. x When multiplying or dividing by a NEGATIVE number, we SWITCH the inequality sign! For the following examples, would we need to switch the sign?? Circle yes or no. x 7) yes / no ) yes / no -x 15 x 9) yes / no ) yes / no x+(-6) 10

4 Name: Date: / / Practice 2 Reasons to switch inequality sign: 1) When x is on the right. 2) When multiplying or dividing by a negative number! LOOK FOR THESE!! -

5 Name: Date: / / INEQUALITY TRICKS 1) Which value of x makes the following true? x + 19 < 4 Does x EQUAL the answer?? A. -15 B. -20 C ) Which value of x makes the following true? 12 < x + 8 Don t forget to put x on the LEFT (when finished)! A. 3 B. 4 C. 5 3) Which value of x makes the following true? When multiplying or dividing by a NEGATIVE #, We SWITCH - 3x > 15 4) Which is the solution to the following inequality? 18-6x When multiplying or dividing by a NEGATIVE #, We SWITCH 5) Study the following graph and choose the inequality that it represents: INEQUALITY: Is this a DOUBLE SWITCH? A. -6 B. -5 C. -4 A. x -3 B. x -3 C. x 24 A. -5x -10 B. 5x 10 C. 5x < 10 D. -5x 10 6) Circle ALL of the characteristics for the graph of the following inequality: 4x 16 Circle is open. Circle is closed. Arrow points to right. Arrow points to left.

6 1) Which value of x makes the following true? x + 28 < 6 Name: Date: / / INEQUALITY CHALLENGE! Does x EQUAL the answer?? A. -20 B. -22 C ) Which value of x makes the following true? 15 < x + 8 Don t forget to put x on the LEFT (when finished)! A. 8 B. 7 C. 6 3) Which is the solution to the following inequality? 35 5x Don t forget to put x on the LEFT (when finished)! A. x 7 B. x 7 C. x 30 4) Which value of x makes the following true? When multiplying or dividing by a NEGATIVE #, We SWITCH - 6 x > 12 5) Which is the solution to the following inequality? x 3 6 When multiplying or dividing by a NEGATIVE #, We SWITCH 6) Which is the solution to the following inequality? 16-4x Be very careful with this one! A. -3 B. -2 C. -1 A. x -2 B. x -18 C. x -18 A. x -4 B. x -4 C. x 20

7 Careful! These are tricky 7) Which graph represents the solution to the following inequality? -18 x - 13 Don t forget to put x on the LEFT (when finished)! A. B. C. D. 8) Study the following graph and choose the inequality that it represents: A. 2x 8 B. 2x < 8 C. -2x -8 D. -2x 8 SOLVE! SHOW YOUR WORK! INEQUALITY: 9) Tomorrow, snow will begin to fall in Leesburg in temperatures under 10 F. If x represents temperature, which is the correct inequality for temperatures that will not cause snow to fall. A. x > 10 B. x < 10 C. x 10 D. x 10 Circle ALL of the characteristics for the graph of the following inequalities: 10) 2x 6 Circle is open. Circle is closed. Arrow points to right. Arrow points to left. YOU DID IT!!!

8 Math-7 homework NAME: DATE: / / Inequalities Practice Do we Switch? Yes or No y < 3 5. y 4 > x > < -2x 3. y 3 < x < < x 2 8. y + -2 > -3 Solve and circle all possible solutions to the inequality (switch when necessary): 1. 5y > x > y > x < -2x

9 ...continued Matching: 1. x > 2 A 2. x>2 B 3. x< -5 C 4. x < 5 D 5. x < -2 E 6. x < -5 F 7. x > 5 G 8. x < 1 H Solve and Graph: Solve AND graph the following inequalities: 9) x + 8 > 2 10) 5 > -2 + x 11) - x 6 12) 35 > 5x 13) x ) 16 + x < 20 15) x > ) -12x < ) 45 x + 40