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Algebra (15 Problems) : Solve Systems of Equations

On three consecutive passes, a football team gains 9 years, loses 35 yards, and gains 33 years. What number represents the total net yardage?
-The total net yardage is ____ yards.

.Find the indicated outputs for f(x)=4x squared-4x

Soybean meal is 12% protein; cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240-lb mixture that is 7% protein?
-How many pounds of the cornmeal should be in the mixture?
-How many pounds of the soybean meal should be in the mixture?

Find the slope, if it exists, of the line containing the pair of points.
(9,3) and (10,-8)
The slope is m=__

The function H describes by H(x)=2.75x+71.48 can be used to predict the height, in centimeters, of a woman whose humerus (the bone from the shoulder) is x cm long.
Predict the height of a woman whose humerus is 39 cm long.
-The predicted height of a woman whose humerous is 39 cm long is __cm.

Decide weather the pair of lines is parallel, perpendicular, or neither.

Solve the system of equations by graphing. Then classify the system as a consistent or inconsistent and as dependent or independent.
-what is the solution of the system of equations?
a. infinitely many solutions
b .no solution
c. a point
-Is the system consistent or inconsistent?
-Are the equations dependent or independent?

Graph the equation and identify the y-intercept
y+x= -10

-The y intercept is__?

Find the slope is it exists
x= -7


Translate to an algebraic expression.
-The product of 32% and some number.

Trains A and B are traveling in the same direction on parallel tracks. Trains A is traveling at 100 miles per hour and train B is traveling at 104 miles per hour. Train A passes a station at 6:25 PM. If train B passes the same station at 6:55PM, at what time will train B catch up to train A?

Find the slope
(0,2), (-1,-2)

The width of a rectangle is fixed at 27cm. What lengths will make the perimeter greater then 84 cm?

Media services charges $30 for a phone and $20/month for its economy plan. The equation c=20t+30 describes the total cost,c, of operating a media services phone for t months.
-The total cost for 8 months of service is $__
_If a customer has only $80 available, how many months of service can she receive?
A. 21/2
B. 3
C. 2
D. 2 ½

Graph the systems of inequalities
y≥ -1
x≥ 4

Graph the equation

Graph the equation.

Graph the equation using the slope and the Y-intercept.
Y=8/7x +2

In 1999, the expectancy of males in a certain country was 65.5. In 1995, it was 68.0 years. Let E represent the life expectancy in year T represent the numbers of years since 1991.
-The linear function E(T) that fits the data is..

-Use the function to predict the life expectancy of males in 2007.

Find the domain of p?
A. {x |x≠7}
B. {x |x is a real number}
C. { x |x>0}
D. {x |x≠0}

Use the distributive property to help you solve.

Solve for the indicated letter
e= 5f, for f
-The solution is f=__

collect like terms

Find the slope and y-intercept
F(x)= -5x-2
-The slope is__
-The y-intercept is(0,_)

The equation y=-1777x + 27,153 can be used to predict the number y of gun deaths in the united states x years after 2000, that is, x=0 corresponds to 2000,x=2 corresponds to 2002, x=4 corresponds to 2004, and so on. Predict the number of gun deaths in 2004 and 2009. In what years will the number of gun deaths be 7606?
7606 in the year__

Find the domain of the function.
G(x)= 7/3-4x


Use the intercepts to graph the equation.

Solve the system of equations.
X+2y=8 (1)
X=3-2y (2)


Solution Summary

A step by step solution is provided to all the problems.