Equations
Inequalties
Word Problems
Operations with Rational numbers
100
Solve: 3x + 7 = 22
x = 5

3x+7=22
3x=15
x=5
100
Solve: x + 3 < 7
x < 4

x+3<7
x<4
100
It costs $120 to have a party for 9 people at the skating rink. The cost includes a $10 charge for each person plus the price of cake. How much is the cake?
The cake is $30

$120 - $(10 * 9)
$120 - $90
= $30
100

9

200
Solve: 15 = 2x - 9
x = 12

15=2x-9
24=2x
x=12
200
Solve: 2 - 3x > 5
x < -1

2-3x>5
-3x>3
x<-1
(Remember we switch the Symbol)
200
Sam bought a soft drink for $2 and 4 candy bars. He spent a total of $10. How much did each candy bar cost?
Each candy bar costs $2 each.

10=2+4x
8=4x
2=x
200

40.87

300
Solve: -3 - 8y = -35
y = 4

-3-8y=-35
-8y=-32
y=4
300
-8 > 3x + 4
-4 > x

-8>3x+4
-12>3x
-4>x
300
You have $20 to spend on taxi fare. The ride costs $5 plus $2.50 per mile. How many miles can you ride for $20?
You can ride 6 Miles.

20=2.5x+5
15=2.5x
6=x
300

-0.05

400
Solve: 3(x + 2) = 30
x = 8

3(x+2)=30
3x+6=30
3x=24
x=8
400
-3(-x - 4) < 39
x < 9

-3(-x-4)<39
3x+12<39
3x<27
x<9
400
Debbie has at most $60 to spend on clothes. She wants to buy a pair of jeans that cost $22 and spend the rest on t-shirts. Each shirt costs $8. How many shirts can she buy?
She can buy at most 4 t-shirts.

60=22+8x
38=8x
4.75=x
400


500
Solve: -2(-3 - x) + 7 = 39
x = 13

-3(-3-x)+7=39
6+2x+7=39
2x+13=39
2x=26
x=13
500
2(x + 6) - x < 12
x < 0

2(x+6)-x<12
2x+12-x<12
x+12<12
x<0
500

Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, what is the greatest number of rides Daniel can go on?

The greatst number of rides he can go on is 14

1.50x+4<25

x<14

500

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