# 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

f(0)=__

f(-1)=__

f(2)=__

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?

__pounds

-How many pounds of the soybean meal should be in the mixture?

__pounds

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.

4x+5y=7

5x+4y=6

Solve the system of equations by graphing. Then classify the system as a consistent or inconsistent and as dependent or independent.

7x-7y=-14

7y-7x=14

-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

m=___

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)

M=__?

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

X+5y=10

Graph the equation.

Y=4

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..

E(T)=__t+__

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

E(16)=__

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.

5(w-2)=35

Solve for the indicated letter

e= 5f, for f

-The solution is f=__

collect like terms

10r+6s-6s-6r-8s=

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?

2004=__

2009=__

7606 in the year__

Find the domain of the function.

G(x)= 7/3-4x

Graph

5x+6y≤30

Use the intercepts to graph the equation.

X+4y=8

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.