x+34=46
x+34 -34 =46 -34
x=12
3x+16=31
3x+16 -16 =31 -16
3x ÷3 =15 ÷3
x=5
3(x+21)=69
3x+63 -63 =69 -63
3x ÷3 =6 ÷3
x=2
3x+2 +2=35 +2
3x ÷3 =37 ÷3
x=12.3
Incorrect- Since there is a positive 2 you need to subtract 2 to cancel it out.
Robbie earned $230 for mowing lawns this week. Adding up his last 2 weeks of working money, he made $545 in total. How much did Robbie make last week?
230+m=545
x/4=15
x÷4 (4) =15 (4)
x=60
6=8-x÷4
6 -8 =8 -8 -x÷4
-2 (-4) =-x÷4 (-4)
8=x
6(5-x)=12
30 -30 -6x=12 -30
-6x ÷-6 =-18 ÷-6
x=3
7 -7 +4x=23 -7
4x ÷4 =16 ÷4
x=4
Correct
Gwen went shopping and got 3 pens for $4.50. She also got 10 pencils. If the total without tax was $17, how much were each of the pencils?
4.5+10p=17
24=6x
24 ÷6 =6x ÷6
4=x
-32=23+-11x
-32 -23 =23 -23 +-11x
-55 ÷11 =-11x ÷11
5=x
7(4x-11)=91
28x-77 +77 =91 +77
28x ÷28 =168 ÷28
x=6
x/3+-12 -12=-3 -12
x/3 x3 =-15 x3
x=-45
Incorrect- You need to add 12 instead of subtracting in order to cancel out the -12.
Sally works as a server for $14.50 an hour. She made $39 in tips over the course of a week. If Sally made $615 in that week including the tips, how many hours did Sally work?
14.5h+39=615
x/-20=5
x÷-20 (20) =5 (20)
x=100
x÷-5-31=-38
x÷-5-31 +31 =-38 +31
x÷-5 (-5) =-7 (-5)
x=35
3(2x-5)=9
6x-15 +15 =9 +15
6x ÷6 =24 ÷6
x=4
x/5+3 -3 =0 -3
x/5 (5) =-3 (5)
x=-15
Correct
-8x=-56
-8x ÷8 =-56 ÷8
x=7
6÷x+25=23
6÷x+25 -25 =23 -25
6÷x (x) =-2x
6 ÷-2 =-2x ÷-2
x=-3
5(9-3x)=-20
45 -45 -15x=-15 -45
-15x ÷-15 =-60 ÷-15
x=4
x/-6+15 -15 =12 -15
x/-6 (6) =-3 (6)
x=-18
Incorrect- You need to multiply the -6 by -6 instead of +6 to cancel it out, otherwise you end up with -36.