Linear Equations
If 2x+3=9, what is 6x-1?
17
d = 16 - x/30
what is the estimated amount of d when x = 300
What is the equation of the line that passes through the point (0,5) and is parallel to the graph of y= 7x+4 in the xy-plane?
y= 7x+5
4x = 20
-3x+y= -7
what is x+y
13
x(r-9)+4=19x+27
In the given equation, r is a positive integer. If the given equation has exactly one solution, what CANNOT be the value of r?
28
According to a model, the head width, in millimeters, of a worker bumblebee can be estimated by adding 0.6 to four times the body weight of the bee, in grams. According to the model, what would be the head width, in millimeters, of a worker bumblebee that has a body weight of 0.5 grams?
2.6
x^2 - 14x + 40 = 2x + 1
What is the sum of solutions of this given equation?
16
y = 4x + 1
4y = 15x - 8
what is x-y?
35
A manufacturing plant makes 10-inch, 9-inch, and 7-inch frying pans. During a certain day, the number of 10-inch frying pans that the manufacturing plant makes is 4 times the number n of 9-inch frying pans it makes, and the number of 7-inch frying pans it makes is 10. During this day, the manufacturing plant makes 100 frying pans total. Which equation represents this situation?
5n+10=100
The cost of renting a backhoe for up to 10 days is $270 for the first day and $135 for each additional day. Which equations gives the cost in dollars of renting the backhoe for 10 days
y= 135x+135
A chemist combines water and acetic acid to make a mixture with a volume of 56 mL. The volume of acetic acid in the mixture is 10 mL. What is the volume of water, in mL, in the mixture? (Assume that the volume of the mixture is the sum of the volumes of water and acetic acid before they were mixed.)
46 mL
5(t+3) - 7(t+3) = 38
what is the value of t