Equations, Expressions Equations

Word Problems

100

A baker put some cookies in each of three boxes. Then, he put 4 more cookies in each box, and there were 24 total cookies in the 3 boxes.

24=3(x+4)
24=3x+12
24-12=3x+12-12
12=3x
12/3=3x/3
4=x

200

1. Five students came for after-school tutoring. Priya’s teacher assigned each of them the same number of problems to complete. Then she assigned 2 more problems to one of the students. 27 problems were assigned in all.

27=5x+2

27-2=5x+2-2

25=5x
25/5=5x/5
5=x

300

Lin had 90 flyers to hang up around the school. She gave 12 flyers to each of three volunteers. Then she took the remaining flyers and divided them up equally between the three volunteers. How many flyers did she give each volunteer?

90=3(y+12)

90=3y+36

90-36=3y+36-36

54=3y

54/3=3y/3

27=y

27+12= 39 flyers

400

Lin had 90 flyers to hang up around the school. After giving the same number of flyers to each of three volunteers, she had 12 left to hang up by herself.

90=3y+12

90-12=3y+12-12

78=3y

78/3=3y/3

y=26 to each volunteer

500

Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If Noah scored 10 points, how many points did Andre score?

D=A-9

N= 2*D

N=10

10=2(A-9)

10=2a-18

10+18=2a-18+18

28=2a

28/2=2a/2

14=a

What is X?

100

x+6=4

x+6=4

x+6-6=4-6

x=-2

200

x−-4=-6

x−-4=-6

x−-4-4=-6-4

x=-10

300

2(x−1)=-200

2(x−1)=-200
2x-2=-200
2x-2+2=-200+2
2x=-198
2x/2=-198/2
x=99

400

-4(y−2)=1

-4(y-2)=1

-4y+8=1

-4y+8-8=1-8

-4y=-7
-4y/-4=-7/-4

y=7/4

500

5.4=0.3(x+8)

5.4=0.3(x+8)
5.4=0.3x+2.4
5.4-2.4=0.3x+2.4-2.4
3.0=0.3x
3.0/0.3=0.3x/0.3
10=x

p(x+r)=q

100

5(y+25)=-13

5(y+25)=-13

5y+125=-13 Step 1: distribute the 5

5y+125-125=-13-125 Step 2: Subtract to get the                                                   variable alone

5y/5=-138/5 Step 3: divide to get X alone

y=-27.6

200

24=3(a+2)

24=3(a+2)
24=3a+6

24-6=3a+6-6

18=3a
18/3=3a/3
6=a

300

8.88=4.44(x−7)

8.88=4.44x-31.08
8.88+31.08=4.44x-31.08+31.08
39.96=4.44x
39.96/4.44=4.44x/4.44
x=9

400

9(a+2)=45

9(a+2)=45

9a+18=45

9a+18-18=45-18

9a=27

9a/9=27/9

a=3

500

7(k-5)=49

7(k-5)=49

7k-35=49

7k-35+35=49+35

7k= 84

7k/7=84/7

k=12

px+r=q

100

8g+4=20

8g+4=20

8g+4-4=20-4

8g=16

8g/8=16/2

g=2

200

24=3a+6

24=3a+6

24-6=3a+6-6

18=3a

18/3=3a/3

6=a

300

3x+12=90

3x+12=90
3x+12-12=90-12
3x=78
3x/3=78/3
x=26

400

7x-35=77

7x-35=77

7x-35+35=77+35

7x=112

7x/7=112/7

x=16

500

45x+410=500

45x+410=500

45x+410-410=500-410

45x=90

45x/45=90/45

x=2