Two-Step Equations w/ Fractional Coefficients
Solve: -1/2+7/10z=-1/3
z=5/21
Solve for x:
7/5(4x+5)= 8
x=5/28
Solve for x:
10x-(x+1)=-3(-x-5/4)-3/4
x=2/3
State which direction to shade (above or below line) and whether or not the line of the graph is solid or dotted:
y<x+6
Correct answer: "<" means less than. This indicates to shade below and make a dotted line.
Solve: -3/4x+1/3=-1/5
x=32/45
Solve for x:
13= 1/2(5x+8)
x=18/5
Solve for x:
-8-7/4x=-5/2x-(-x+1)
x=-28
Solve for y, then state which way to shade (above or below line), and whether the line is solid or dotted:
x+2y>=2
Correct answer: The inequality used means greater than or equal to. This indicates to make a solid line, and shade above.
y>= -1/2x+1
Solve: -1/2-4/9y=1/8
y=-45/32
Solve for x:
16=1/2(5x+2)
x=6
Solve for x:
1-3/2x<3x-3/5(3/2x-1)
x<1/9
The theater club is selling tickets to their play to raise money for the production's expenses. Each ticket for students sells for $6 and each adult ticket sells for $10. The theater itself can hold at most 120 people. The theater club needs to make at least $800 from ticket sales to cover the production's cost. If x represents the number of student tickets sold, and y represents the number of adult tickets sold, write and solve a system of inequalities.
y<=120-x
and
y>=80-2/3x
Solve: -1/2=-1/4-4/7p
p=7/16
Solve for x:
(2x+1)/4-(2x+1)/36=-2
x=-5
Solve for x:
7>3/2-4(-1/2x-2)
-5/4>x or x<-5/4
Create a graph using the information given and state one possible solution in context:
x = the number of tables solder
y = the number of chairs sold
Inequalities are: y < 50 - x and y>=95-3x
One possible solution: 30 tables and 15 chairs
Solve: -2/7= -1/6x-5/7
-18/7=x
Solve for x:
(2x+7)/8+(2x-7)/40=-2
x=-9
Solve for x:
-4(7x+1/2)-1<=-5x
x>=-3/23
Amy has x dimes and y quarters, having no less than 18 coins worth a maximum of $4 combined. No less than 15 of the coins are dimes and no more than 4 of the coins are quarters. Write and solve the system of inequalities graphically and find one possible solution.
Possible solution: 18 dimes and 3 quarters.