Combining Like Terms
Many solutions or Infinite Solutions
Variables on Both sides And Multi-step equations
Comparing Proportional Relationships
y=mx + b
100
7x+4−3x=28
Solve for x.
What is x = 6 ?
100
2(x+3)=2x+6
Solve for x.
What is infinite solutions 6=6?
100
3x+5=2x+12
Solve for x.
What is x = 7?
100
Which has the greatest constant of proportionality?
A graph shows a line passing through (4, 16) and (9, 36).
An equation represents a third situation:
y = 5x
What is y = 5x ?
100
Find the slope of the line that passes through the points
(4,−3) and (10,9)
What is m=2?
200
7x+12−2x=37
Solve for x.
What is x = 5 ?
200
3(x−1)=3x+2
Solve for x.
What is no solution-3 = 2?
200
4(2x−3)=3x+10
Solve for x.
What is x=22/5 or 4 2/5 or 4.4?
200
Which situation shows the largest proportional rate?
Situation A: y = 0.75x
Situation B: y = 3x − 1 (not proportional)
Situation C (table):
What is situation c y= 2.5x?
200
Find the slope of the line that passes through the points
(−7,12) and (5,−4)
What is m = - 4/3 ?
300
4(3x−1)+2x=62
Solve for x.
What is x = x=66/14=33/7 or 4 5/7 ?
300
3(2x−5)−4(x+1)=2x−15
Solve for x.
What is no solution -19= -15 ?
300
7x−4(x−1)=3(2x−1)+5
Solve for x.
What is x = 2/3?
300
A graph shows a line through (3, 21) and (8, 56).
A description says: “A machine produces 85 items every 10 minutes.”
An equation shows: y = 6.3x
Which represents the fastest rate?
What is y=7x?
300
The graph relates the number of gallons of white paint to the number of gallons of red paint Jess used to make the perfect pink. Write an equation that describes the relationship.
What is y = 2/3x?
400
5(2x−7)−3(4−x)+18=6x+11
Solve for x.
What is x = 40/7 or 5 5/7?
400
Solve for x.
3/2(2x+4)−1/3(x−5)=38x+5
What is 23/3 = 5 ?
400
Solve for x
1/2(4x−3)+x=3/4x+5
What is x = 26/9 or 2 8/9?
400
A graph includes points (2, 4.2) and (7, 14.7).
An equation: y = 2.8x
Which relationship has the smallest unit rate?
What is y=2.9x?
400
Graph the equation.y=3x+2
Name three points on this line.
What is (0,2) , (1,5) and (2,8)?
500
3(4x−7)−2(5x+1)+18=4x+3(2x−5)
Solve for x.
What is x = 5/4 or 1 1/4 or 1.25?
500
Solve for x.
3/2(4x−2)−1/2(2x−4)=5x−1
What is 5x - 1 = 5x - 1 infinite solutions?
500
6(3x − 4) + 5x = 8x + 7(2x + 9)
Solve for x.
What is x= 87?
500
Which situation is proportional and has the highest C.O.P?
Situation A: Graph passes through (9, 31.5) and (21, 73.5)
Situation B: y = 3.28x
Situation C:
What is y= 3.4x?
500
Write an equation for the line in slope-intercept form. Write 3 points that are on this line.
What is y =-2x + 5 points ( 0,5) ,(1,3), & ((2,1)?