A
4(2x+5) When x is 3
44
y=3x, where x and y are both positive numbers
Is this a proportional relationship?
yes
Write an equation for the distance in miles, d, that you would travel in t hours if you drive at 70 miles per hour
d=70t
Solve the equation
2(3x+2)=2x+28
x=6
Using the input 4
Divide by 4 then add 2 to find the output
3
Write an equation where you have to multiply 5 by 2x+6
5(2x+6)
Jada had some dimes and quarters that had a total value of $12.50
Write an equation to represent how many dimes nad quarters she may have
0.1d+0.25q=12.50
Given the equation y=-3x +2.5
when x is -1.5, what is the value of y
7
Jada had some dimes and quarters that had a total value of $12.50
If Jada has 30 dimes, how many quarters does she have?
38
0.1(30)+0.25q=12.5
Solve
y=-2x+5
2x+3y=31
x=-4
y=13
Convert 60 inches to feet
5 feet
Is this a proportional relationship?
yes
write an equation where the output is double the input and subtract 6
y=2x-6
A group of students is timed while sprinting 100 meters. Each student's speed can be found by dividing 100 m by their time.
Is time a function of distance?
No
For each distance (100 mi), many times are generated
A group of students is timed while sprinting 100 meters. Each student's speed can be found by dividing 100 m by their time.
Is speed a function of time?
yes
For each time, one speed is generated
A square has a perimeter of 12cm, find the area.
9
When the sun was directly overhead, the stick had no shadow. After 20 minutes, the shadow was 10.5 cm long. After 60 minutes, it was 26 cm long.
Estimate how long it with be after 95 minutes.
49.88
99 x (10.5/20)
Solve the equation
4z+5=-3z-8
-13/17
For what value of x do the expressions 2x+3 and 3x-6 have the same value
9
How many solutions
y=4x-5
y=-2x+7
One solution
Jada is three years older than twice her brother's age. Write an equation that represents the relationship between Jada's age j and her brother's age b.
j=2b+3
b=(j-3)/2
Andre's school ordered some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.
Write an equation that shows the cost of a pack of test tubes, t in terms of cost of beakers
t=b-4
There are 16 cups in a gallon. The equation c=16g gives the number of cups in terms of the number of gallons. Write another equation for this situation, giving the number of gallons in terms of the number of cups.
g=(1/16)c
Solve the system of equations
y=7x+10
y=-4x-23
(-3,-11)
The school designed their vegetable garden to have a perimeter of 32 feet with the length measuring two feet more than twice the width.
Using L to represent the length of the garden and W to represent its width, write and solve a system of equations that describe the situation.
2L + 2W =32
L=2W+2
L=11 1/3 W=4 2/3