Adding/subtracting Integers
Evaluating variable expressions when given variable's values
Simplifying variable expressions
Word Problems
Algebraic Proofs
100
7 - 12
-5
100
Evaluate. x + y when x = 3 and y = 4.
7
100
2x + 3 - 5
2x - 2
100
When Jane woke up the temperature was 3 degrees C. By noon the temperature had increased by 6 degrees C. Write an expression to represent the temperature at noon.
3 + 6
100
What proof says that: a + b + a = a + a + b ?
Commutative property of addition.
200
8 + (-3)
5
200
Evaluate. x - y when x = 22 and y = 8
14
200
4x - 3x + 7 - 6
x + 1
200
Joe has $117 in his bank account. He withdraws $75. Write an expression to represent how much money is left in Joe's account after he makes his withdraw.
117 - 75 Or 117 + (-75)
200
What is the proof that says: a + (-a + b) = (a + (-a)) + b ?
Associative property of addition
300
12 + (-20)
-8
300
Evaluate. 2x + 4y when x = 3 and y = 4
22
300
8x - 4x - 5 - 2
4x - 7
300
When Katie woke up the temperature was -5 degrees C. By noon the temperature had increased by 9 degrees C. Write an expression to represent the temperature at noon.
-5 + 9
300
What property says that: d + 0 = d ?
Identity property of addition
400
-15 - 7
-22
400
Evaluate. x + y when x = -13 and y = 5
-8
400
4 + 2x + 7 + 6x
11 + 8x
400
Nathan had overdrawn his bank account so that the balance was -$52. To keep from getting in trouble with the bank, Nathan deposited $77. Write an expression to represent the amount of money in Nathan's account after he makes his deposit.
-52 + 77
400
What property says that: 1 * a = a ?
Identity property of multiplication.
500
-17 + (-13)
-30
500
Evaluate. x + y when x = -52.7 and y = 33.5
-19.2
500
10 - 4x - 3 +x
7 - 3x
500
Debby had over drawn her bank account so that the balance was -$15.72. Before Debby could make a deposit, a check she had written went through, withdrawing another $125.55. Write an expression to represent the amount of money in Debby's account after the check goes through.
-15.72 - 125.55 Or -15.75 + (-125.55)
500
What is the reason for statement 1 in the proof? Prove -x + (x + y) = y 1. (-x + x) + y = ? 2. 0 + y = additive inverse property 3. y = identity property of addition
Associative property of addition
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