Translating
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What is the Property?
Evaluating Expressions and Using PEMDAS
More What is the Property?
100
the sum of 2 and a number x Write algebraically and tell whether this is an expression, equation, or inequality.
2 + x Expression
100
three more than twice a number equals 15 Write algebraically and tell whether this is an expression, equation, or inequality.
2x+3=15 Equation Need to have twice a number first before we can get 3 more than it
100
xyz = yxz
COMMUTATIVE PROPERTY OF MULTIPLICATION the x and the y switched places We started at the x and then went to y on the left. We started with the y and then went to x on the left. Remember: The commute from school to home is the same as the commute from home to school.
100
2b - 4 - 6 when b= (-3)
2(-3) - 4 - 6 -6 - 4 - 6 -6 + (-4) - 6 (Keep, change, change) -10 + (-6) (keep, change, change) -16
100
y/1 = y
Identity Property of Division Dividing a number by one will not change its identity.
200
7 decreased by twice a number Write algebraically and tell whether this is an expression, equation, or inequality.
7 - 2x Expression
200
the product of a number and 6 is 30 Write algebraically and tell whether this is an expression, equation, or inequality.
6x = 30 Equation
200
r + 0 = r
Identity Property of addition Adding zero to a number will not change its identity.
200
-4(5) + v(6) when v = 8
-4(5) + 8(6) -20 + 8(6) -20 + 48 28
200
f + (-4) = (-4) + f
Commutative Property of Addition The f and the -4 switched places. We started at f and then went to -4 on the left. We started with -4 and then went to f on the right. Remember the commute from school to home is the same as the commute from home to school.
300
the difference between twice a number and eighteen IS four. Write algebraically and tell whether this is an expression, equation, or inequality.
2x - 18 = 4 Equation (Difference tells the order)
300
w less than 11 equals 35 Write algebraically and tell whether this is an expression, equation, or inequality.
11- w = 35 Equation We can't have w less than something unless we START with that something. In this case the "something" is 11.
300
g + (r + t)= (g + r) + t
Associative Property of Addition r and t are "hanging out" together first on the left side. g and r are "hanging out" together first on the right side
300
(t - 12)^2 - 65 when t = 4
(4 - 12)^2 - 65 PARENTHESIS FIRST [4 + (-12)] - 65 Keep, change, change -8^2 - 65 64 - 65 64 + (-65) Keep, change, change -1
300
25(1) = 25
Identity Property of Multiplication Multiplying a number by one will not change its identity.
400
5 added to the quotient of y and 4 IS less than 2 Write algebraically and tell whether this is an expression, equation, or inequality.
y/4 + 5 < 2 Inequality Remember: "IS" indicates 2 sides like a conversation, so we need an equation or an inequality.
400
You need to complete more than 20 problems. Write algebraically and tell whether this is an expression, equation, or inequality.
p>20 Inequality
400
k - 0 = k
Identity Property of Subraction Subtracting zero from a number will not change its identity
400
-6(4)/(14 - d)^3 when d = 12
-6(4)/(14 -12)^3 PARENTHESIS FIRST -6(4)/2^3 EXPONENT -24/8 -3
400
(m+ 7) + 6 = m + (7 + 6)
ASSOCIATIVE PROPERTY OF ADDITION The m and the 7 are "hanging out" together first on the left. the 7 and the 6 are "hanging out" together first on the right.
500
Jane needs to sell at least 5 more pies to reach her fund raising goal.] Write algebraically and tell whether this is an expression, equation, or inequality.
p>= 5 Inequality This Jeopardy game doesn't know how to write this correctly, and merge the 2 symbols, but WE do!)
500
Jeff wants to join a traveling baseball team. His parents fave the "OK" as long as the cost including all fees, is no more than $150. Write algebraically and tell whether this is an expression, equation, or inequality.
c <= $150 Inequality (This Jeopardy game doesn't know how to write this correctly and merge the 2 symbols, but WE do.)
500
5(6t) = (5 x 6)t
Associative Property of Multiplication The 6 and t are "hanging out" together first on the left side. The 5 and 6 are "hanging out" together first on the right side.
500
(2 - g)^3/r + 4 when g = (-2) and r = 8
[2 - (-2)]^3/8 + 4 [2 + (+2)]^3/8 + 4 PARENTHESIS 1st (keep,change, change 4^3/8 + 4 EXPONENT 48/8 + 4 DIVIDE 6 + 4 10
500
12 + x = x + 12
Commutative Property of Addition The 12 and the x switched places. We started with the 12 and then went to the x on the left. We started with the x and then went to the 12 on the right. Remember: the commute from school to home is the same as the commute from home to school.
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