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24 Cards in this Set
 Front
 Back
Write the equation for "The sum of a number x and 7 is 25"

x+7=25


In a class of 31 students there are five more boys than girls. How many boys are there?

number of girls = n
number of boys = n + 5 total students: n + n + 5 = 31 2n + 5 = 31 2n = 26 n = 13 

(4) + 7

11


5 + 13

18


What property is illustrated by (a + b) + c = a + (b + c)

Associative


What property is illustrated by
If x = 4 and y = 4 then x = y 
Transitive property of equality


What property is illustrated by
a + (a) = 0 
Property of opposites


What property is illustrated by a + 0 = a

Identity property of addition


The distributive property states that a(b + c) =

ab + ac


Write the equation then simplify
Five times the sum of a and b decreased by three times b 
5(a + b)  3b
5a + 5b  3b 5a + 2b 

simplify 3(2x  1) + 5(3  4x)

6 x + 3 + 15  20x
26x + 18 

Write the equiation:
The sum of three consecutive integers is 18. Solve. 
x + (x + 1) + (x + 2) = 18
3x + 3 = 18 3x = 15 x = 5 

a / b can be rewritten as

a * 1/b


Simplify
(18a  36b)(1/18) 
18a/18  36b/18
a  2b 

If a = 3, b = 7, c = 4
evaluate 2b(a  c)/(a + 2) 
2(7)(3  (4))/(3 + 2)
14(1)/1 14 

Simplify 4(x + 7) + 5(x  2)  9x

4x + 28 + 5x  10  9x
0x + 18 18 

Solve (1/6)x = 11

x = 66


Solve 5(4 + 3x) = 10x

20 + 15x = 10x
5x = 20 x = 4 

4 + x = 6

2 or 2


4 + x = 2

No solution. x cannot be negative


Solve: the perimeter of a rectangle is 42 and its length is one more than its width.

2x + 2(x + 1) = 42
2x + 2x + 2 = 42 4x = 40 x = 10 

Solve: The area of a rectangle is 42 and its length is one more than its width.

x * y = 42
y = x + 1 x(x+1) = 42 x^2 + x = 42 x^2 + x  42 = 0 (Do you know the Quadratic Formula?) 

Fred bought 14 stamps worth $1.20. Some stamps were 5 cents, some were 10. How many of each type?

5x + 10y = 120
x + y = 14 y = 14  x 5x + 10(14  x) = 120 5x + 140  10x = 120 5x = 20 x = 4 y = 10 

Chocolates cost $1 and peppermints $1.50. Amelia bought 10 more chocolates than peppermints and spent $13. How many chocolates did she buy?

1.50p + 1c = 15
p + 10 = c 1.50p + (p + 10) = 15 1.50p + p + 10 = 15 2.50p = 5 p = 2 c = 12 