Unit 1: Solving Equations
Unit 1: Inequalities and Word Problems
Unit 2: Graphing Linear Equations
Unit 2: Parallel and Perpendicular Lines
Unit 4: Systems of Equations and Inequalities
100
Solve for the variable x:
5x - 4(2x - 3) = 18
x=-2
100
Solve for the variable x below:
x + 3(2 - x) > 20
x<-7
100
Graph the equation on the coordinate plane:
y=1/2x-3
100
What is difference between the SLOPES of parallel and perpendicular lines?
Parallel lines have the same slope.
Perpendicular lines have opposite reciprocals.
100
Solve the system of equations shown below:
y=2x+3
x+4y=39
(3, 9)
200
Solve for variable x below:
7x + 4 = 7x - 9
No solution is possible
200
A school club charges $12 per ticket and already has $48 saved.
How much money will the club have after selling 20 tickets?
$288
200
Find the x and y-intercepts for the standard form equation below:
3x + 9y = 27
(9,0) and (3,0)
200
Write an equation in slope-intercept form that passes through the point (6,-2) but is parallel to the line below:
y=2/3x+4
y=2/3x-6
200
Name a coordinate point that is a solution to the system of inequalities shown below:
Anything in the dark blue region!
300
Solve for the variable x below:
5(x - 2) = 5x - 10
Infinite solutions are possible
300
Solve for the variable x below:
-4x + 7 ≤ 2x - 5
x ≥ 2
300
Graph the equation on the coordinate plane:
y=-1/3x+2
300
Write an equation in slope-intercept form that passes through the point (3,-2) but is perpendicular to the line below:
y=1/2x-7
y=-2x+5
300
At the concession stand, you buy burgers and bags of chips, a mixture of 12 items. Burgers cost $4 and chips cost $2, and your bill is $30.
Determine how many burgers and bags of chips you bought.
3 burgers and 9 chips
Setup:
x+y=12
4x+2y=30
400
Solve for the variable x:
3(2x + 5) - 4x = 22
x= 3.5 or 7/2
400
A school club charges $12 per ticket and already has $48 saved.
How many tickets must be sold to earn $300 total?
21 tickets
400
Find the x and y-intercepts for the standard form equation below:
4x - 2y = 20
(5,0) and (0,-10)
400
Write an equation in slope-intercept form that passes through the point (5,-4) but is parallel to the line below:
y=-2x+1
y=-2x+6
400
Write an inequality for the graph shown:
y≥-3x+3
500
Solve for the variable x below:
2x+4y=6z
x=-2y+3z
500
Solve the compound inequality below:
2x - 1 > 7 or -3x + 2 > 11
x > 4 or x < -3
500
Write and graph an equation in slope-intercept form that passes through the points (0, 8) and (-3, 2)
y=2x+8
500
Write an equation in slope-intercept form that passes through the point (12, -2) but is perpendicular to the line below:
y=3x-7
y=-1/3x+2
500
Say that Mario and Yoshi have a combined age of 46. Yoshi is 13 years older than twice Mario's age.
Determine Mario and Yoshi's ages.
Mario is 11
Yoshi is 35
Setup:
x+y=46
y=2x+13