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24 Cards in this Set
- Front
- Back
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Write the equation for "The sum of a number x and 7 is 25"
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x+7=25
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In a class of 31 students there are five more boys than girls. How many boys are there?
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number of girls = n
number of boys = n + 5 total students: n + n + 5 = 31 2n + 5 = 31 2n = 26 n = 13 |
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-(-4) + 7
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11
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|-5| + 13
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18
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What property is illustrated by (a + b) + c = a + (b + c)
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Associative
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What property is illustrated by
If x = 4 and y = 4 then x = y |
Transitive property of equality
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What property is illustrated by
a + (-a) = 0 |
Property of opposites
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What property is illustrated by a + 0 = a
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Identity property of addition
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The distributive property states that a(b + c) =
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ab + ac
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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 |
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simplify -3(2x - 1) + 5(3 - 4x)
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-6 x + 3 + 15 - 20x
-26x + 18 |
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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 |
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a / b can be re-written as
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a * 1/b
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Simplify
(18a - 36b)(1/18) |
18a/18 - 36b/18
a - 2b |
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If a = -3, b = 7, c = -4
evaluate 2b(a - c)/(a + 2) |
2(7)(-3 - (-4))/(-3 + 2)
14(1)/-1 -14 |
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Simplify 4(x + 7) + 5(x - 2) - 9x
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4x + 28 + 5x - 10 - 9x
0x + 18 18 |
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Solve (1/6)x = 11
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x = 66
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Solve 5(4 + 3x) = 10x
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20 + 15x = 10x
5x = -20 x = -4 |
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4 + |x| = 6
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2 or -2
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4 + |x| = 2
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No solution. |x| cannot be negative
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Solve: the perimeter of a rectangle is 42 and its length is one more than its width.
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2x + 2(x + 1) = 42
2x + 2x + 2 = 42 4x = 40 x = 10 |
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Solve: The area of a rectangle is 42 and its length is one more than its width.
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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?) |
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Fred bought 14 stamps worth $1.20. Some stamps were 5 cents, some were 10. How many of each type?
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5x + 10y = 120
x + y = 14 y = 14 - x 5x + 10(14 - x) = 120 5x + 140 - 10x = 120 -5x = -20 x = 4 y = 10 |
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Chocolates cost $1 and peppermints $1.50. Amelia bought 10 more chocolates than peppermints and spent $13. How many chocolates did she buy?
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1.50p + 1c = 15
p + 10 = c 1.50p + (p + 10) = 15 1.50p + p + 10 = 15 2.50p = 5 p = 2 c = 12 |
