This document provides a study guide with answers for an Algebra 2 Test 2. It includes instructions to graph and solve various types of inequalities, systems of equations and absolute value equations, including linear and compound inequalities, systems of linear equations solved by graphing, substitution and elimination, and absolute value equations and inequalities.

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 />