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`