Translating Words into Algebra
Properties of Real Numbers
Simplifying Expressions
Solving Equations
Patterns and Functions
100
The sum of a number and seven is twelve.
x + 7 = 12
100
8 + 0 = 8
Identity Property
100
7x − x
6x
100
9x - 2 = 16
x = 2
100
3, 15, 27, 29,... What is the next term in the pattern?
41
200
Five less than the product of a number and six
6x - 5
200
5y - 5y = 0
Inverse Property
200
b +6 - 3 + 2b
3b + 3
200
−15 = −4m + 5
m = 5
200
1, 5, 4, 8, 7, 11, 10,... What is the next term?
14
300
Nine times the difference of a number and three
9( x - 5)
300
4y + 2 + 7x = 2 + 7x + 4y
Commutative Property
300
3(7 + n) - 4
17 + 3n
300
3(n + 5) = −6
n = -7
300
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... What is the next term?
55
400
Tom had some money. After he spends seven dollars on candy he has fourteen dollars. How much money did he have to start with?
x - 7 = 14
400
9n/9n = 1
Inverse Property
400
6(k − 8) + 2k
8k - 48
400
2(n + 2n) + 3 = 33
n = 5
400
0, 2, 6, 14, 30,... What is the next term?
62
500
Four less than the quotient of a number and five equals the product of a number and nine.
x/5 - 4 = 9x
500
Use the distributive property to rewrite the following expression: -3x(5 - 2y)
-15x + 6xy
500
−8(−5b + 7) + 5b + 2
45b - 54
500
−18 − 6k = 6(1 + 3k)
k = -1
500
A repair shop charges a $40 diagnostic fee and then charges $85 per hour of work. Write an equation to relate the total cost of a repair to the number of hours worked.
y = 40x + 85
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