Expressions vs. Equations
Is the following an expression or an equation:
17r + 13
expression
Which two expressions are equivalent by the distributive property:
5(8) + 5(2)
5(8) + 2
5(8+2)
5(8) + 5(2)
5(8+2)
What is the inverse of multiplying?
Dividing
What is the first step in solving this equation:
x + 4 = 9
subtract 4 from both sides
What is a similar, equivalent expression to t - 3 = 9
t = 12
Is the following an expression or an equation:
1 + 1 + 1 + 1 = 4
equation
Write the equivalent expression using the distributive property:
4(6 + 10)
24 + 40 = 64
the correct answer, though, is 4(6) + 4(10)
What is the inverse of adding 12?
subtracting 12
24 = 3b, what is our first step?
divide both sides by 3
What is a similar, equivalent expression to 8n = 48
n = 6
Why is the following an equation?
9+0 = 9
it has an equal sign
Write the equivalent expression using the distributive property:
5(y+7)
5y + 35
What is the inverse operation used to solve 9+y=10
subtraction
2 + (3 + 4) = (2 + 3) + ____
4
What is a similar, equivalent expression to k/2 = 6
k = 12
Why is the following an expression?
5 - 9w
it does not have an equal sign
Write the equivalent expression using the distributive property:
4 + 2x
2(2+x)
What is the inverse of dividing by 6?
multiplying by 6
10 + 5 = 9 + ____
6
What is a similar, equivalent expression to b - 15 = 45
b = 60
Which one can have only one solution: equations or expressions?
Equations because the variable only has one value
Write the equivalent expression using the distributive property:
8(2 + m + 10)
8(2) + 8m + 8(10)
16 + 8m + 80
96 + 8m
What is the inverse operation used to solve this problem:
10t = 100
divide by 10
x - 10 = 49, what is x?
x = 59
You have a deck of t trading cards. You give 20 cards to a friend and have 5 left for yourself. How many cards were in the original deck?
Write a simpler, equivalent equation to solve t−20=5 and find the number of cards in the deck.
t = 25
25 cards