Properties
Name the property shown:
(4+2)+6 = 4+(2+6)
Associative Property of Addition
Describe the graph of the inequality: x > 6
An open circle on 6 with an arrow pointing to the right
Solve for "x": x/4 = -12
x = -48
Write an expression for: "The sum of Margo's toys and her friend's toys who has seven times as many as Margo." Let the variable m represent Margo's toys
m+7m or 7m+m
Name the property shown:
4 x 3 x 5 = 3 x 4 x 5
Commutative Property of Multiplication
Solve: 2x-4 < 10
x < 7
In the linear equation y= -5x + 7, what is the slope?
-5
Evaluate the expression a3 + 32 - 5b when a = 4 and b = -3.
88
Name the Property Shown:
3(a+7) = 3(a) + 3(7)
Distributive Property
Write an inequality using "w" to represent weight or your apples:
At the apple picking orchard, you can fill your bag with as many apples as you can without going over 20 pounds.
w <= 20
Solve for x:
8x + 5= 25 + 4x
x = 5
Simplify the expression: 4(x-7) - 2x
2x - 28 or -28 + 2x
In her math report, Alexis stated that any number multiplied by 1 would equal the same number. What property was she referencing?
Multiplicative Identity Property
Which way will the arrow point when the solution to this inequality is graphed?
-1/2x + 7 > 12
Left
Solve for d: -4(d - 4) = 0
d = 4
Write an expression to represent how many pies Karen has, using the variable p to represent Johnny's amount: "Johnny has p pies, and Karen has 3 less than 10 times Johnny's amount."
10p - 3
True or False: -2(4x-7) = -8x-14
False, a negative times a negative equals a positive, so -2 x -7 = 14. It should be -8x+14
Describe the graph for the solution to the inequality:
-5x + 8 < 23
An open circle on -3 pointing to the right
Solve for k:
9k + 3 = 4k - 17
k = -4
Jennifer sold 10 more than five times the amount that Amanda did at the book fair! Write an expression to represent Jennifer's cookies using the variable "a" to represent Amanda's cookies.
AND, if Amanda sold 20 cookies, use substitution to find how many cookies Jennifer would have sold.
Expression: 5a + 10 or 10 + 5a
Substitution: 5(20)+10 = 110. Jennifer would have sold 110 cookies if Amanda sold 20.