Translating Equations
Maria has 12 apples. She gives some to her friend and is left with 7 apples.
This is the equation that best represents the problem.
12-x=7 or 12-7=x
6x – 13 = 11
x= 4
Solving Equations
-2(2x + 3) = 22
x = -7
Solving Equations
x - 2 = 6 + 2x
x = -8
What is the 4 Basic Operations?
Add, Subtract, Multiply and Divide
How many operations does a one step equation have?
A movie ticket costs $9. Jake bought tickets for a total of $27.
This is the equation that best represents the problem.
9x=27
3x + 5 = 14
x= 3
Solving Equations
4 + 11x + 3 = 25-(-4)
x = 2
-5x – 16 = 8x – 3
x = -1
What type of solution does this equation have?
15(2x + 2) = 10(3x + 4)
What is No Solution?
When solving a two step equation what is your 1st step?
What is remove the constant by using the inverse operation?
A fourth of a number and 7 equals 37.
This is the equation that best represents the problem.
What is 1/4 x+7=37 ?
x/2 + 13 =-8
x= -42
Solving Equations
-45 = 7x + 9 - 5
x = -7
22 + 54x = 10(6x – 2)
what is x=7?
What type of solution does this equation have?
4(6x – 4) = 8(3x – 2)
What is Infinite Solutions/All Real Numbers?
What would be the first step to solving this equation?
1/3(18x-24)=15
What is distribute 1/3 to 18x and -24?
Chris has $5 more than twice the amount of money Emma has. Together, they have $41. This is how much each person has.
2e+5+e=41
3e+5=41
3e=36
Emma= $12 Chris=$29
x/2 + 5 = -10
x= -30
Solving Equations
14 = (3a + 6) + 2
a=2
6 + 8(x – 1) = 2(3x + 4)
what is x = 5?
Without Solving, how can you determine if a simplified equation has Infinite Solutions
What is same coefficient and same constant terms?
What are the 3 types of solutions an equation can have? Describe them
What is One Solution, No Solution, Infinite Solutions?
Descriptions may vary
Three friends share the cost of lunch equally. The bill is $12 more than twice what they each paid. This is how much each friend paid.
3f = 2f + 12
1f = 12
What is $12?
x/3 - 6 = -3
x= 9
Solving Equations
-84 = -7(5k - 8)
k = 4
4(40 – 8x) = 19x + 2 – 5x
what is x = 3.4
Without Solving, how can you determine if a simplified equation has ONE Solution?
What is Different Coefficients?
Finish the sentence.
When dividing by a fraction you...
What is multiply by the reciprocal?