Solving Multi-Step Equations
Distributive Property & Combining Like Terms
One, No, or Infinitely Many Solutions
Congruent Figures & Side Lengths
Parallel Lines & Angle Relationships
100
Solve for x.
4x+7=23
x = 4
100
Simplify.
3(x-15)
3x-45
100
How many solutions does this equation have? Explain
3x+5=3x+5
Infinitely many solutions
100
In the triangles, side AB is congruent to side DF and side BC is congruent to FG. Find the value of x and the length of AB and DF.
x = 7
AB = 23
DF = 23
100
Find x.
x = 40
200
Solve for x.
-3(x-4)+5=2x-7
x = 4.8
or
x= 24/5
200
Simplify.
-2(4x+7)+5x
-3x-14
200
How many solutions does this equation have? Explain.
4x-8=4x+3
No Solution
200
y = 6
BC = 22
EF = 22
200
Find y.
y = 30
300
Solve for x.
0.6x-4=1.8x+8
x = -10
300
Simplify.
6(2n-3)-4(n+5)
8n-38
300
How many solutions does this equation have?
-6.2x+14-14.8x=3x-12(x-1.5)
One solution
x = -0.33333...
or
x=-1/3
300
In the triangles, side AB is congruent to side DF and side BC is congruent to EF. Find the value of x and y the side lengths.
x = 3
y = 3.5
sides = 13 and 14
300
Find the measure of the y and the missing angle.
y = 24
missing angle= 24 degrees
400
Solve for x.
5(x+2)-3=2(x-6)
x= -19/3
or
x = -6.33333...
400
Simplify.
-3(0.5x-6)+1.5x
18
400
How many solutions does this equation have?
5(y-1)-(y-2)=2(2y+3)-9
Infinitely many solutions
400
In the triangles, side AB is congruent to side DF and side BC is congruent to EF. Find the value of x and y the side lengths.
x = 4
y = 6
sides = 17 and 12
400
Find the values of x and y and the missing angles.
x = 17
y = 85
missing angles = 95 and 85 degrees
500
Solve for x.
6.4-1/2 (x+8)=9.6x+4-10x
x = -16
500
Simplify.
2(3x-4)-5(x+6)
x-38
500
How many solutions does this equation have?
1/3(6x-9)-2/3(3x+12)=1/3(9x-6)
One solution
x = -3
500
In the triangles, side AB is congruent to side DF and side BC is congruent to FG. Find the value of x and y the side lengths.
x = 3
y = 6
sides = 18 and 25
500
Find x and y and the missing angles.
x = 20
y = 25
missing angles = 70 and 110 degrees