Solving Equations
Solving Inequalities
Systems of Equations & types of Solutions
Systems of Inequalities
Solving for Line Graphs
100
Solve for c:
6c - 12 = 48
c = 10
100
Solve the following inequality:
A) x < 7
B) x< 7
C) x < 7
D) x > 7
D
100
What is the solution to the following System of Equations?
(2,2)
100
Is (-6,4) a solution to this System of Inequalities? Explain why.
No because points on dotted lines do not count as solutions.
100
Solve 5(2x - 4) < 10
A) x > 3 B) x < 10
C) x < 3 D) x < -10
C
200
Solve for x:
x = 2
200
Which of the following makes the following inequality true? Choose ALL that are true.
A) 8
B) -6
C) 4
D) 0
E) 10
B & D
200
How many solutions does this System of Equations have?
A) 2 solutions
B) 1 solution
C) No solution
D) Infinite solutions
C) No Solution
200
Which of these points are solutions to the following Systems of Inequalities? Choose ALL that apply.
A) (0,0) B) (1,2) C) (0,2) D) (4,2) E) (-1,5)
B, C and E
200
Which Line Graph shows the solution to this Inequality: 5x < 25.
Line 1, Line 2, Line 3 or Line 4
Line 4
300
What is the solution to 2(x - 2) = 6(x + 2)
A) 4
B) -4
C) 0
D) 10
B) x = -4
300
Is (0,7) a solution to the following inequality?
2x + y < 10
Yes
300
Which classification fits this System of Equations?
3x + 2y = 10
6x + 4y = 20
A) Consistent Dependent
B) Consistent Independent
C) Inconsistent
A) Consistent Dependent because they have infinitely many solutions. Both equations are the same line and graph on top of each other.
300
Is (5,-5) a solution to this System of Inequalities:
No. It is not in the overlapping area.
300
Which Line Graph matches x > 5
Line 1, Line 2, Line 3 or Line 4
Line 3
400
Which equation has a solution of -4 and goes through (-4,-1)?
A) -2x - 4 = 6x + 12 B) 2x - 4 = -6x + 12
C) 2x + 4 = 6x + 12 D) 2x - 4 = 6x + 12
D) 
400
Is (0,10) a solution to the following inequality?
2x + y < 10
No because points on dotted lines are not solutions.
400
Which classification fits this System of Equations?
3x + 2y = 10
6x + 4y = 10
A) Consistent Dependent
B) Consistent Independent
C) Inconsistent
C) Inconsistent because the 2 lines do not intersect.
400
Which of these points are solutions to this Systems of Equations:
A) (0,0) B) (0,10) C) (0,-6 D) (-10,0)
A & D because they are both in the overlapping shaded area.
400
Which equation matches the following Line Graph:
A) -3x > -15 B) -3x < -15
C) -3x < -15 D) -3x > -15
A) The inequality flips after dividing by a negative number.
500
Solve for m:
8(m + 2) = 8
m = -1
500
Which points are solutions to the following Inequality:
3x + 5y < 25
A) (0,5) B) (0,0) C) (2,5) D) (0,6)
A & B
500
How many solutions does this System of Equations have?
3x + 2y = 30
6x + 6y = 60
A) 0 B) 1 C) 2 D) 3
B) 1 Solution
500
Does this System of Inequalities have a solution?
y > 4
y < 0
No. They do not overlap.
500
Which of these numbers are solutions to the following Line Graph? Choose ALL that apply.
A) 0 B) 3 C) -10 D) 10 E) -3
B & D