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24 Cards in this Set

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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 re-written 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