Two Step
2x-8=10
x=9
19 = 10 - 5w + 9w - 7
4
8x + 17 = 2x + 35
3
Which property would be used to solve the following problem?
9x=81
Division Property of Equality
Translate into an expression
Twenty is fourteen less than the product of ten and a number.
20 = 10m - 14
x/3 + 5 = 4
x = -3
r - 3(r - 9) + 4 = 5
13
m + 3 = 9m - 13
2
3 + 0 = 3
is an example of which property?
Identity Property of Addition
Translate into an expression
Seven times the width of a rectangle is 10 inches more than 6 times the width
7w = 6w + 10
9x+1=82
x=9
5(y - 2) - 7y = -32
11
9 (x + 3) = 4x - 3
-6
a x b x c = c x a x b
is an example of which property?
Commutative of Multiplication
Which situation can be represented by the equation shown?
10x + 5 = 25
A. Richie bought 25 toys for the 10 dogs at a local shelter. If each toy costs $5, how much money did he spend?
B. Corey spent $25 for a movie ticket and $5 for a soda at the movie theater, If he also bought 10 bags of popcorn, how much did Corey spend at the movie theater?
C. It costs $10 to enter the Holiday Carnival and $5 for each game. If Thomas spent $25 while at the Carnival, how many games did he play?
D. It costs $5 to enter the County Fair and $10 for each food voucher. If Jamya spent $25 while at the County Fair, how many food vouchers did Jamya buy?
D
x = 140
7(x-6) = -14
4
3x + 8 (2x - 6) = 2 + 14x
10
Which property allows you to say that 7 + (-7) = 0
Additive Inverse
Gregory hired an electrician to install lights in his attic. If the electrician charges $50 to drive out to Gregory's house and an additional $42 per hour for the work done, how many hours did he work if Gregory paid the electrician a total of $247.40? Round your answer to the nearest tenth.
4.7 hours
(x+2)/4 = 6
x = 22
7(3k - 2) - 13k = 82
12
10 − 3(m − 5) = 2(5 − m)
15
What property is this?
(a+13)+4 = a+(13+4)
Associative of Addition
Company A charges a catering fee of $100, plus an additional $45 per meal.
Company B charges a catering fee of $650, plus an additional $30 per meal.
How many meals must be ordered for the two companies to charge the same amount?
Round your answer to the nearest whole number.
37 meals