1. Algebra 2<br />Test 2 Study Guide with answers<br />Graph the inequality on a number line.<br />1.b≤2.4<br />91440018542000<br />2.a≥7.5<br />411480015811500<br />3.y<-8.3<br />91440018097500<br />Write the inequality represented by the graph.<br />4.<br />x<-5<br />5.<br />x≤-7<br />Solve the inequality and graph solution on a number line.<br />6.-54x>-5<br />x<4<br />017843500<br />7.15x>8<br />x>815<br />19431002368550<br />8.-5x+1≤11<br />x≥-2<br />1485900149860<br />9.3-2x≤9<br />x≥-3<br />1257300172720<br />10.7<12x+4<br />6<x<br />114300232410<br />11.-7>-4+13x<br />-9>x<br />1143001765300<br />12.-x-1≤3<br />x≥-4<br />102870014922500<br />13.13≤-4x+1<br />-3≤x<br />125730023685500<br />14.43x+2≤14<br />x≤9<br />1143002457450<br />15.-x3-1>4<br />x<-15<br />Solve the compound inequality and graph solution on a number line.<br />16.3a>6 or 4a+4≤12<br />all real numbers<br />17.5b+2≤22 and 5b≥15<br />b≤4 and b≥3<br />240030022606000<br />18.-7x+6<48 and-9x+9≤36<br />x≥-3<br />1257300248920<br />19.6a≤18 or-8a+9<25<br />all real numbers<br />20.-4b<4 or 4b<12<br />b>-1 or b<3<br />1600200193040<br />21.8z>48 and 7z+3<31<br />no solution<br />Graph the linear inequality on the xy-plane.<br />22.y<2x+1<br />23.y≤-x-1<br />24.y>13x+4<br />25.2y≥-4x-6<br />26.-y>x+2<br />27.2x-5y≥10<br />28.2x-y≥4<br />29.3x+12y>4<br />30.32x+23y>1<br />31.9x-2y≤-18<br />Solve the absolute value equation.<br />32.2x+5=9<br />x=2 or x=-7<br />33.4x+1=11<br />x=52 or x=-3<br />34.15-2x=8<br />x=72 or x=-232<br />35.2-x=3<br />x=-1 or x=5<br />36.22-3x=5<br />x=173 or x=9<br />Solve the absolute value inequality and graph solution on a number line.<br />37.2x+1<9<br />x<4 and x>-5<br />9144002628900<br />38.3x-5>10<br />x>5 or x<-53<br />02044702743200204470<br />39.6≥|4-x|<br />-2≤x and 10≥x<br />14859002286000<br />40.|1-2x|≤5<br />x≥-2 and x≤3<br />1485900251460<br />Solve the system of equations by graphing.<br />41.2x+y=1342.2x+y=-2<br />5x-2y=1x-2y=19<br />43.2x+y=-1144.y=5x<br />-6x-3y=33y=x+4<br />Solve the system of equations by substitution or elimination.<br />45.2x-4y=1346.3x+4y=-4<br />4x-5y=8x+2y=2<br />-112, -6-8, 5<br />47.x-2y=348.6x-10y=12<br />2x-4y=7-15x+25y=-30<br />no solutioninfinitely many solutions<br />49.-5x+7y=1150.-2x+3y=20<br />-5x+3y=194x+4y=-15<br />-5, -2-254,52<br />51.x-y=352.x-4y=-2<br />-2x+2y=-6-3x+8y=-1<br />infinitely many solutions5,74<br />Solve the system of inequalities by graphing.<br />53.x-y≥354.y>2x+2<br />y≤x-52x+y<4<br />55.x+y≤-356.y<-2x+10<br />2x-3y>-6x+3y>-3<br />