Writing Algebraic Expressions
Evaluating Expressions
Simplifying Expressions:
Combining Like Terms
Simplifying Expressions:
The Distributive Property
Vocabulary Terms
100
8 more than a number
n + 8
100
Evaluate for x = 5:

2x
2(5) = 10
100
4x + 3x
7x
100
4(x + 5)
4x + 20
100
For any numbes a and b, a + b = b + a
200
twelve less than a number
n - 12
200
Evaluate for x = 3 and y = -2:

4x + 3y
4(3) + 3(-2) = 6
200
8b + 6 - 5b
3b + 6
200
3(2n - 7)
6n - 21
200
-8 - 4
-12
300
2 more than the quotient of a number and 4
n ÷ 4 + 2
300
Evaluate for x = 4 and y = -3 and z = -5:

5(xy - z)
5[4(-3) -(-5)] = -35
300
5 - 4n + 7 - 9n
-13n + 12
OR
12 - 13n
300
-(x - 18)
-x + 18
300
5 + 3(4 - 7) - 15
-19
400
the number of weeks in y years
52y
400
Evaluate for x = 3 and y = -2 and z = -5:

2x2y + 3z
2(3)2(-2) + 3(-5) = -51
400
5j - 6k + 7 + 2k - 8j - 14 + 5k2
5k2 - 3j - 4k - 7
400
8b - 3(b - 9)
5b + 27
400
(4.3 × 105)(8.2 × 103)
3.526 × 109
500
the number of minutes in s seconds
s ÷ 60
500
Evaluate for x = -4 and y = -2 and z = -6:

-x2 + 3y - 2z
-(-4)2 + 3(-2) - 2(-6) = -10
500
Write an algebraic expression for the situation described below, using only one variable. Then simplify the expression.

Ryan scored b baskets. Aaron scored twice as many baskets as Ryan. Jeremy scored 3 more baskets than Aaron. How many total baskets did they score?
n + 2n + 2n + 3 = 5n + 3
500
Write an algebraic expression for the situation described below. Then simplify the expression.

Seven times the sum of a number and four.
7(n+4) = 7n + 28
500
Write an expression for the situation described below. Then solve.

At track practice, Melanie ran 3 3/5 miles and Rebecca ran 4 2/3 miles. How much farther did Rebecca run than Melanie?
4 2/3 - 3 3/5 = 1 1/15 miles
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