Integer Operations
Order of Operations
Combining Like Terms
Properties of Real Numbers
Algebraic Expressions
Distributive Property and Area
Evaluating Expressions
100
What is:
-15 + 23?
8
100
Evaluate:
12 - 3(2)
6
100
Simplify
7x - 3 + 4x
11x - 3
100
True or False? The Identity Property of Addition states that you can add 0 to any number and the number will stay the same. For example, 7 + 0 = 7
True
100
The product of 5 and x plus 2.
What is 5x + 2?
100
Simplify the following expression
3(x + 4)
3x + 12
100
Evaluate
x + 7, when x = 3
10
200
Evaluate:
-18 + (-7)
- 25
200
Evaluate:
18/3 + 4(-2)
-2
200
Simplify:
-8x2 - 3x + 5x2 + 7x
-3x2 + 4x
200
The Commutative Property states you can swap the order of numbers and still get the same answer only when performing what TWO operations?
Adding and Multiplying
200
Write an algebraic expression for:
Five less than three times a number n
3n - 5
200
Simply
-9(10 - 6r)
-90 + 54r
200
Evaluate
4x - 5, when x = 6
19
300
Evaluate:
(-6)(8) + - 5
-53
300
Evaluate:
18 - 2(4 + 3)
4
300
Simplify:
6x3 + 4x2 - 9x3 + 7x2 - 5x
-3x3 + 11x2 - 5x
300
The Associative Property states you can change the grouping of numbers and get the same answer. Give an example of the Associative Property.
Any correct example, such as
(2 x 3) x 4 = 2 x (3 x 4)
300
Write an expression for:
Twice the difference between a number x and 9
2(x - 9)
300
Simplify
7x - 4(- 2 + 3x) + 9
-5x + 17
300
Given that, x = -4 and y = -2.
Evaluate: 2x + 3y
-14
400
What is:
(-72/-9) - 5
3
400
Evaluate:
32 + 4(6 - 2)
25
400
Simplify completely:
5x3 - 7x2 + 4x - 9 + 3x2 - 8x3 - 6x + 12
-3x3 - 4x2 - 2x + 3
400
Find the missing numbers and name the property.
15(x - 6) = __ (x) - 15(__)
Numbers: 15 and 6
Property: Distributive Property
400
The quotient of a number x and 4, increased by 6.
(x/4) + 6
400
Find the area of the rectangle:
5b + 15
400
Evaluate
3m2 - 2n3 - 5, when m = 4 and n = -2
59
500
A submarine is 35 feet below sea level. It rises 18 feet and then drops 27 feet. What is its final position relative to sea level?
-44 feet
500
Evaluate:
-25 - 2(-3)2
-43
500
Find the perimeter of the triangle
16x + 11y + 2
500
Complete the equation and identify the property:
-9 + ___ = 0
Number: 9
Property: Additive Inverse Property
500
Write an algebraic expression for:
The square of the difference between a number x and 4, decreased by 6.
(x - 4)2 - 6
500
A rectangle has a base of 2x - 8 and a height of 6.
Find the area as a simplified algebraic expression.
12x - 48
500
Given that p = -3, q = 4 and r = -2
Evaluate: -2p2 - 3q - 5r2
-50