Expressions
Inequalities
Equations
Word Problems
Potpourri
100

The total of sixteen and "n"

16 + n

100

z - 11 < 16

z < 27

100

y - 45 = 74

y = 119

100

Manny has $15.75 in nickels and pennies. If he has 770 pennies, how many nickels does he have?

 770 + 5n = 1575 

or 1575 = 770 + 5n

n = 16

Manny has 161 nickels

100

The product of eleven and "p" is one hundred thirty two

11p = 132

200

Forty-two less than a number "x"

x - 42

200

6c < 42

c < 7

200

x + 57 = 149

x = 92

200

Andy has $27 in his bank account. He has an after-school job where he earns $2 per hour. How many hours will he have to work to have a total of $61 dollars in his bank account?

1) How many hours he must work

2) Yes, there are enough facts

3) No, there are no extra facts

4) Multiplication, addition

5) 2h + 27 = 61

h = 17

Andy needs to work 17 hours

200

Sixty-eight is less than eighty

68 < 80

300

Twice a number "y" less eight equals seventy-four.

2y - 8 = 74

300

s dvb 7 > 8

56

300

4t = 144

t = 36

300

Kaylyn spends a total of $20.55 on stamps. She bought 35 thirteen cent stamps, and the rest were twenty cent stamps. How many twenty cent stamps did she buy?

1) How many stamps she bought

2) Yes, there are enough facts

3) No, there are no extra facts

4) Multiplication, addition

5) 20n + (35 x 13) = 2055

n = 80

Kaylyn bought 80 stamps

300

11t >= 154

t >= 14

400

The value in cents of "k" dimes

10k

400

a + 9 > 20

a > 11

400

4m + 59 = 159

m = 25

400

Fifteen-year-old Lily is three years older than twice the age of her sister Nathalie. Their sister Aaliyah, is two years younger than twice Nathalie's age. How old are Nathalie and Aaliyah?

1) How old are Nathalie and Aaliyah

2) Yes, there are enough facts

3) No, there are no unnecessary facts

4) Multiplication, addition

5) 2n + 3 = 15

n = 6, Nathalie is 6 years old

a = 2(6) - 2 = 10, Aaliyah is 10 years old

400

s dvb 2=< 5

s =< 10

500

One is more than "m"

1 > m

500

2t + 6 < 12

t < 3

500

5y - 1 = 19

y = 4

500

Gerardo and Leo spent a total of $23.75 on cookies. They bought fifteen snickerdoodles costing 75c each. The remainder of the money was spent on oatmeal cookies costing 50c each. How many cookies did Gerardo and Leo buy?

1) How many cookies were bought

2) Yes, there are enough facts

3) No, there are no unnecessary facts

4) Multiplication, addition

5) 50c + (75 x 15) = 2375

c = 25

Gerardo and Leo bought 25 cookies

500

Provide an explanation for why multiplication and addition are commutative.

a + b = b + a

a x b = b x a