Solving Equations
Solve for x:
x - 29 = 26
x = 55
Cheryl gets paid $8 per hour, h at her job at the record store. She made a total of $96 last week. Write an equation to show how many hours she worked last week.
a. 96h=8
b.8h=96
c.h/96=8
d.h/8=96
b.8h=96
Name the independent variable in this situation:
A) The number of cats living at my house
or
B) The number of fur balls found under the couch
A) The number of cats living at my house
Write an inequality for this situation: Maya scored fewer than 7 goals
g < 7
What is the name of this inequality symbol: <
Less than
Solve for x:
5x = 20
x = 4
Joe can run the race 8 seconds faster than Jennifer. If Joe's time is 27 seconds, what is Jennifer's time?
Write and solve an equation to answer this question.
t= j -8
t= 27-8
t=19
Jennifer's time is 19 seconds
Name the dependent variable in this situation:
A) The temperature of the water
or
B) The amount of time it spent heating up
A) The temperature of the water
A new car will cost a minimum of $12,000
c is greater than or equal to 12,000
a small number written above and to the right of a mathematical expression/number
exponent
Solve for x:
x / 12= 4
x = 48
Bruce is 12 inches shorter than Diane. If Bruce is 49 inches tall, how tall is Diane?
Write an equation to represent this situation and define the variable.
d - 12 = 49
d = Diane's height
Name the dependent variable in this situation:
A) The number of hours worked
or
B) The total amount of earnings
B) The total amount of earnings
The maximum number of fouls a basketball player may have is five
f is less than or equal to 5
This variable changes as a result of what you are inputting
Dependent Variable
x + 24 + 95 = 715
x = 596
Write an equation to represent this situation and define the variable.
Fred bought 8 new postcards to add to his collection. The next day his dog ate half of the postcards, leaving 42 leftover. How many did he start with?
( p + 8 ) / 2 = 42
p = postcards Fred had at the beginning
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Brittany has a maximum of $2,000 saved for a vacation. Write an inequality to show how much she can spend.
x ≤ 2,000
letters used to represent an unknown number
variable
Solve for x
1/2 x = 4/8
x= 1/2
Tom had 78 dollars to spend on 6 books (all costing the same amount). After purchasing the books, he had only $18 dollar leftover. What is the price of 1 book?
Write an equation for this situation and define the variable.
78 - 6b = 18
b = the cost of one book
Write an equation and identify the independent and dependent variables:
Albert runs three miles per day while working towards a total milage goal
3d = m
Days - independent
Total miles - dependent
Grace and two of her friends went to the mall. Each person has at least $25 to spend. How much money do the girls have altogether?
m is greater than or equal to 75
Inverse operations