Solving One-Step Equations
x + 55 = 100
x = 45
6x + 11 = 65
x = 9
Kendra paid $7 fir her admission ticket to the fair and bought 12 ride tickets. She spent a total of $31 on admission and ride tickets. Write and solve and equation to determine the cost of one ride ticket.
7 + 12x =31
x=2
What is a variable?
a symbol (usually a letter) standing in for an unknown numerical value in an equation
5 times a number plus 2 is 8
5x+2=8
x - 80 = 30
x = 110
9x - 21 = 60
x = 9
Membership at the health club is $15 per month plus $10 for each exercise class taken. Jill paid $75 for the month of September. Write and solve an equation to determine the number of exercise classes Jill took in September.
15 + 10c = 75
c = 6
What operation is the inverse of division?
Multiplication
The difference of 9 times a number and 3 is 10.
9x - 3 = 10
4x = 24
x = 6
x/2 - 5 = 25
x = 60
424 students went on a trip to the zoo. All 7 buses were filled, and 4 students have to travel in cars. How many students were in each bus?
7x + 4 = 424
x = 60 Students
What is the reciprocal of 1/3?
3 or 3/1
2 less than one-fourth of a number is 15
1/4c - 2 = 15
x/3 = 12
x = 36
g/-5 + 3 = -13
g = 80
After eating at a restaurant, Fred, Sam, and Janice decided to divide the bill evenly. If each person paid $42, what was the total of the bill?
x/3 = 42
x = $126
To solve linear equations with a rational coefficient, you need to...
Multiply both sides by the reciprocal
The quotient of 3 times a number and 8 is 12.
3j/8 = 12
-x/4 = 5
x = -20
2/3x + 4 = 16
x = 18
You and your friend spent a total of $33 for dinner. Your dinner cost $5 more than your friend's. Write and solve an equation to determine how much your friend spent for dinner.
2d + 5 = 33
d = 14
Provide one word that represent each of the following operations (addition, subtraction, multiplication, division)
Answers will vary.
7 more than the quotient of 8 and a number is 11
7 + 8/m = 11