Solving Equations
Linear Equations
Linear Functions
Systems of Linear equations
Linear Inequalities
100
Solve for x .
2x+5=13
What is
x=4
100
What is the slope of the line represented by the equation y=2x+3 ?
What is
2
100
Evaluate the function f(x)=3x+2 when x=4
What is
f(4)=14
100
Solve the system by substitution:
y=2x+3
x+y=9
What is
(2,7)
100
Solve the inequality:
x-5>2
What is
x>7
200
Solve for x .
3x-7=11
What is
x=6
200
Write the equation of the line with a slope of 3 and a y-intercept of -5 .
What is
y=3x-5
200
Given the function f(x)=-2x+5 , find f(3)
What is
f(3)=-1
200
Solve the system by elimination:
3x-2y=4
2x+2y=6
What is
(2,1)
200
Solve the inequality:
3x+4<=10
What is
x<=2
300
Solve for x .
4x+3=2x-5
What is
x=-4
300
Write the equation of the line (point-slope form) that passes through the point (4,2) and has a slope of -3 .
What is
y-2=-3(x-4)
300
A plumber charges a $50 flat fee plus $30 per hour of work. Write a linear function to represent the total cost C after h hours of work, and find the cost if the plumber works for 4 hours.
What is
C(h)=30h+50
and
C(4)=170
300
Solve the system using any method:
y=-x+4
y=2x-1
What is
(5/3,7/3)
300
Solve the inequality: -2x+1>=5
What is
x<=-2
400
Solve for x .
5(2x-1)=3x+8
What is
x=13/7
400
Convert the equation 2x+3y=6 to slope-intercept form.
What is
y=-2/3x+2
400
For the functions f(x)=3x+7 , find the value of x when
f(x)=19
What is
x=4
400
A school is selling tickets for a play. Adult tickets cost $15 each, and child tickets cost $5 each. The school sold 100 tickets and made $1,000 in total. How many adult and child tickets were sold?
What is 50 adult tickets and 50 child tickets.
400
Give a solution to the system of inequalities:
x+y<=4
y>=2x-3
What is 
500
Solve for x .
x/3 +4=2x-1
What is
x=3
500
Write the equation of a line in slope-intercept form that passes through (2,7) and (-3,4) .
What is
y=3/5x+29/5
500
A car rental company charges $40 per day plus $0.20 per mile driven. Write a linear function to represent the total cost C for renting a car for d days and driving m miles. How much would it cost to rent the car for 3 days and drive 100 miles?
What is
C(d,m)=40d+0.20m
and
$140
500
A farmer has 10 acres of land planted with corn and soybeans. The corn generates $200 per acre, while soybeans generate $300 per acre. If the farmer earned a total of $2,400, how many acres of each crop were planted?
What is 6 acres of corn and 4 acres of soybeans.
500
Solve and graph the compound inequality:
-3<2x-1<=5
What is
-1<x<=3