Chp 1.1 Order of Operations
Simplify the expression 8-14 div (9-2)
8-14 div (9-2)
8 - (14div7)
8-2
6
Which property is this: 2*3 = 3 *2
Commutative
Evaluate the expression for the given value of the variable (plug in the number)
7(n + 3) if n = 5
7(n + 3) if n = 5
7(5+3) = 7(8)56
Write variable expression represents the number of inches in y yards? (page 162 #1)
A) 36y or B) y/36 or C) 36-7
a) 36y
Simplify -13 + -2
-13 + -2
-15
Simplify 15 - 36 div 3^2
15 - 36 div 3^2
15 - (36div9)
15-4 = 11
Which property is this: n * 1 = n
any number times 1 is still that number; it's identity doesn't change
Simplify 2y + 5y^2 - 2y^2
2y + 5y^2 - 2y^2
2y + 3y^2
Which terms of the expression 4x + 9 + 9x - 4 are like terms?
4x and 9x
Simplify 13 + (-2)
13 + (-2) = 11
Simplify 2(4+2)^2 - 2
2(4+2)^2 - 2
2(4+2)^2 - 2
2(36) - 2
72 - 2 = 70
Write a(b+c) in expanded form. BONUS: What's the name of this property?
ab + ac
The distributive property
Write as an algebraic expression: The quotient of a number and 4
The quotient of a number and 4
n/4
abs(-6) = And what does absolute value mean?
Absolute value means distance from zero.
During January, the average high temperature in Montreal, Canada is -6 degrees C and the average low temperature is -15 degrees C. How much greater is the average high temperature than the average low temperature?
|-15| - |-6| = 15 - 6 = 9
Write this as repeated multiplication then solve
(2)^5
(2)(2)(2)(2)(2)
432
Use your super powers of the associative and commutative problem to simply this without adding everything up: 5 + 6 + 7 + 8 + 9 + 10 + 15 + 14 + 13 + 12 + 11 + 10
5 + 6 + 7 + 8 + 9 + 10 + 15 + 14 + 13 + 12 + 11 + 10
(5+15) + (6 +14) + (7 +13) + (8 +12) + (9+11) + (10 +10) = 6 pairs of 20
6(20) = 120
Write as an algebraic expression: 5 plus the product of a number and 7
5 plus the product of a number and 7
5 + (n*7)
5 +7n
Which number is actually smaller?
-6 or -10?
-10 is less than - 6. It is further to the left of 0 on the number line.
Simplify - 5 -9
- 5 -9
-5 + (-9) = -14
What is the value of the expression 15-14 ÷ 2 + 5?
13
This is a PEMDAS problem. Use parenthesis and subtraction is adding a negative to help you see that you have to divide -14 by 2 first
15 + (-14/2) + 5 = 15 - 7 + 5
Then use subtraction is adding a negative so you can move terms around if they are all addition
15 + (-7) + 5 = 15 + 5 + (-7) = 20 - 7 = 13
Which expression is equivalent to 3(11 +7)? the simplify it
A) 3(11) + 7 B) 11 + 21 C) 3(11) + 3(7) D) 33 + 7
C) 3(11) + 3(7)
33 + 21 = 54
Combine like terms
5y + 10x + 2y - 3x^2
5y + 10x + 2y - 3x^2
7y + 10x -3x^2
What number is opposite or the additive inverse of 12?
-12
Simplify 6 +(-5) - 3
Keep Change Change (Subtraction is adding the opposite)
Simplify 6 +(-5) - 3 work left to right
1-3
1+ (-3) = -2