Writing Linear Equations
Write the slope-intercept form of the equation of each line.
3x-2y=-16
y=3/2x+8
Solve the system
2y=6
3(x+y)=12
x=1
y=3
Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of each equation.
Through (1,5);
y=3x+4
y=3x+2
Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults tickets and how many childrens tickets did they buy?
14 adults, 4 kid
Solve the absolute value
|x+2|=28
x=26 or x=-30
Write Point Slope Form for the equation of the line that goes through (5,7) and (3,-4)
y-7=11/2(x-5)
Classify the system below as infinite, no solution, or one solutution
x-3y=-6
y=1/3x+2
Infinite
Write the slope-intercept form of the equation of the line described
Through (0,-4) and perpendicular to
y=-1/2x+5
y=2x-4
an auto repair shop is charging you $275 for the parts and $40 an hour for labor. If it takes them 5 hours to fix your car, what is the total cost?
475
What is the value of the expression for the given values of the variables?
7(a+4)+3b-8
a=-4
b=8
16
Write the slope-intercept form of the equation of each line
Through the points
(2,1) and (3,-6)
y=-7x+15
Solve the system of equations
-4y-11x=36
20=-10x-10y
(-4,2)
What is the solution of -27+6y=3(y-3)?
y=6
Michael scores a 95, 87, 85, 93, and a 94 on his first 5 math tests. If he wants a 90 average, what must he score on the final math test?
86
Solve the inequality
8x-2y>60
y<4x+30
Write the equation of the line in slope intercept form that goes through the points (-2,5) and (0,9)
y=2x+9
Solve the system of equations
4x+y=2
x-y=3
(1,-2)
Is the equation always, sometimes, or never true?
11+3x-7=6x+5-3x
never true
A store sells two types of toys, A and B. The store owner pays 8 for one unit of toys A and 14 for one unit of toys B. One unit of toys A yields a profit of 2 while a unit of toys B yields a profit of 3. The store owner estimates that no more than 2000 toys will be sold every month and he does not plan to invest more than $20,000 in inventory of these toys. Write the objective function and constraints.
P=2x+3y
8x+14y<20,000
x+y<2000
Solve the Inequality
-5x+y<27
y<5x+27
Write the equation in standard form that goes through the points (3,-7) and (-1,1)
2x+y=-1
Solve the system of equations
5x-4y+2z=21
-x-5y+6z=-24
-x-4y+5z=-21
(5,-1,-4)
Write the slope-intercept form of the equation of the line described.
Through (-3,-3) perpendicular to
y=-3/8x-2
y=8/3x+5
.One weekend Bill earned 3 times as much as Jim. Tom earned $5 more than Jim. In all, they earned $60. How much did each earn?
$11, $33, $16
Solve the absolute value inequality
4+y>|x+4|
y>|x+4|-4