Vocabulary
What is a variable?
Adriana is saving to buy a camera for $150. She has $25 in her savings account. Every week she earns $9 an hour babysitting. Write an equation to determine the number of hours Adriana will have to babysit in order to earn enough money for the camera.
9h+25=150
Solve for x. Must show work. 7x+3=24
x=3
There are 2 apples and 10 oranges in the basket. What is the ratio of apples to oranges (in simplest form).
1 to 5 or 1/5 or 1:5
The variable for the independent variable
A variable that depends on other factors
What is dependent variable?
Bradley’s new puppy, Rufus, weighed 8.6 pounds at his first visit to the veterinarian. At his second visit, Rufus weighed 14.2 pounds. Let p be the number of pounds Rufus gained between visits. Write and solve an equation to find p.
p + 8.6= 14.2
p=5.6 pounds
Solve. Must show work. 5x - 9 = -29
x=-4
If Raina buys two pairs of pants for $29.99 each, how much does she pay in all? Must show work.
$59.98
The variable for the dependent variable
What is y?
A statement of two math expressions that are equal to each other.
What is an equation?
Each lap around the track at Lincoln Community Center is 400 meters long. Levi ran a total of 1,600 meters as a warm-up before his workout. Let w be the number of laps Levi ran around the track as a warm-up. Write and solve an equation to find w.
400w=1600
w=4 laps
b/3 +7=2
b=-15
What is the area of a rectangle that has a length of 2.5 feet and a width of 3 feet?
7.5 square feet
The total cost for the movies is $8 plus the price of concessions. Name the independent and dependent variables.
Independent: price of concessions
Dependent: total cost
A variable that stands alone and isn't changed by the other variables you are trying to measure
What is an independent variable?
A taxi cab company charges $8.00 per ride plus $0.75 for each mile driven. Write an equation that models the total cost (c), in dollars, of a taxi cab ride, where m is the number of miles driven?
c = 0.75m + 8 or c=8 +0.75m
4(x-9)=64
x=25
If 2/3 of a cake was split between 5 people. How much of the cake will each person get? (Must show work)
2/15 piece of cake
Moonbucks pays their employees $9.25 per hour. Write an equation to represent the relationship.
y=9.25x
The synonym for opposite used when solving equations
inverse
The length of a rectangle is three inches longer than the width. If the perimeter of the rectangle is 14 inches. Write an equation to solve for the width.
4w+6=14 or 2(w+3) +2w=14
11d = 81 - 16d
d=3
The sum of the angle measures of any triangle is 180 degrees. Write and solve an equation to solve for x if the angle measures are 3x degrees, 2x degrees, and 85 degrees.
x=19
A car is traveling at a speed of 65 miles per hour. What is the relationship between the independent and dependent variable?