Words
Write the equation: You pay $13.50 for a movie ticket and snacks. The snacks cost $6.95. Write an equation you can use to find the price p of a movie ticket.
13.50 = p + 6.95
This makes the difference between an expression and an equation
equal sign, (=)
get the variable by itself
How do we solve one-step equations
the inverse operation
First step to solving two-step equation
inverse operation WITHOUT the variable
Write as a word sentence:
20 = y + 8
20 is 8 more than a number y
This is an example of what type of equation:
3y + 2 = 23
algebraic equation
Solve:
p + 16 = 94
p = 78
Solve:
9j = 27
j = 3
2nd step to solving 2-step equations
inverse operation WITH the variable
h + 20 = 30
-20 -20h = 10 in.
This is an example of what type of equation:
213 - 34 + 16 = 195
Numerical Equation
t - 32 = 51
t = 83
Solve:
k/8 = 24
k = 192
Solve:
2x + 6 = 24
x = 9
You have saved $12 each week for many weeks. One day you count your money and find you have $384. Write and solve an equation to find how many weeks w you have been saving.
384 = 12w
32 weeks
Write a word phrase for the following equation:
y - 14 = 31
Answers my vary.
y minus 14 is 31
14 less than y equals 31
y take away 14 is 31
Solve:
j - 3 = 8
j = 11
Solve:
5m = 125
m = 25
Solve:
h/5 - 15 = 30
h = 225
It costs $16 per month to stream music on one device. Each additional device costs an additional $2.
a. write an equation in two variables that represents the monthly cost to stream music.
b. Identify the independent and dependent variables.
c. How much does it cost to stream on 4 devices in one month?
a. c = 16 + 2d
b. d= independent; c= dependent
c. $24
Write a word phrase for the following equation:
6r + 3 = 21
Answers may vary:
the product of 6 and a number plus 3
3 more than six times a number
six times r, plus 3
Solve:
h + (-5) = - 4
h = 1
Solve:
-y/6 = -21
y = 126
Kevin scored 18 points at the basketball game. That was 4 more than twice the amount of points Joe scored. How many points did Joe score?
Joe scored 7 points