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Algebra 1 Warm Up Mrs. Iverson Name___________________________ Date ____________ Period ________ #1-4: Define a variable, write an inequality, and then solve each problem. Graph your answer on a number line. 1.) Two times a number plus one is greater than five and less than seven. 2.) Nine less than x is at most twelve. 3.) One fourth of a number decreased by three is at least two. 4.) The sum of 3 times a number and 4 is between -8 and 10. Algebra 1 6.1-6.4 Day 1 Review WS Mrs. Iverson Learning Target: Name __________________________ Date _______________ Period _____ I can…solve inequalities using addition. I can…solve inequalities using subtraction. #1-3: Solve each inequality. Graph it on a number line. 1.) 2.) 5b 4b 5 c 51 32 Learning target: 3.) 2.3 g ( 2.1) 6.) 15z 75 I can…solve inequalities using multiplication. I can…solve inequalities using division. #4-6: Solve each inequality. Graph it on a number line. 4.) 14 g 126 Learning target: 5.) 2 d 15 3 I can…solve multi-step inequalities. #7-9: Solve. Graph the solution set on a number line. 7.) 4h 7 15 8.) 7( g 8) 3( g 2) 4 g 9.) 1 7n 10 5 Learning target: I can solve compound inequalities that use the word ‘and’. #10-11: Solve. Graph the solution set on a number line. 10.) 12.) 1 p 3 5 m 8 4 and 11.) - 3w 8 2 and w 12 2 w 3m 5 #13-16: Define a variable, write an inequality, and then solve each problem. Graph the solution on a number line. 13.) Seven times a number is no less than 28. 14.) The quotient of a number and 4 is no more than -3. 15.) One eighth of a number decreased by five is less than thirty and at least ten. 16.) Negative four times a number plus nine is no more than the number minus twenty-one. Algebra 1 6.1-6.4 Day 1 Review Worksheet Answer Key Note: This answer key contains the algebraic answers only. Every answer must also be graphed on a number line. You will have the opportunity to check your answers and ask questions on the number lines on Tuesday before the 6.1-6.4 day 1 WINK. 45 2 10) 4 p 2 1) c 19 2) b 5 3) g .2 4) g 9 6) z 5 7) h 2 8) No Solution 9) n 7 11) No Solution 12) m 4 and m 2 **When this problem is graphed, the answer is only m 2 13) Equation: 7 x 28 Answer: x 4 15) Equation: 10 14) Equation: 5) d x 3 Answer: x 12 4 1 x 5 30 Answer: 120 x 280 16) Equation: 4x 9 x 21 Answer: x 6 8