Linear
CL 4-75
c. In the equation y = mx + b, what do the letters m and b represent?
c.
m= growth (slope)
b= start (initial value; y-intercept; # of tiles in figure 0)
CL 4-73
Are the two expressions below equal?
4x2 +2x - 5 - 3x and 6x2 - x + 3 - 2x2
Yes!
4x2 - x - 5 = 4x2 - x - 5
Money always goes on _________!
TOP
CL 4-79
If the output number (y) is -52, what was the input number (x)?
Hint: -52= 5x - 2
x= -10
CL 4- 79
Complete the table for the linear pattern below.
a. What is the y-intercept?
a. (0, -2) or b= -2
CL 4-72
e. What is the growth from the tile pattern?
f. Predict how many tiles Figure 100 will have.
y= 6(100) + 5
e. Growth: +6
f. y= 605 tiles
CL 4-78
Simplify the following expressions, if possible.
c. 3x2 + 10y - 2y2 + 4x - 14
c. No like terms, but put the expression in the correct order
3x2 - 2y2 +4x + 10y - 14
How do I solve a proportion?
Cross multiply and divide
CL 4- 77
Solve this equation to find x.
2 - (3x - 4) = 2x - 9
x = 3
CL 4-79
What is the pattern of growth?
HINT: Look at 0, 1, 2
+ 5
It grows by 5.
CL 4-75
Consider y = 5x + 7
a. How many tiles are in Figure 0?
b. Which figure has 37 tiles? Solve.
37= 5x + 7
a. 7 tiles are in figure 0
b. Figure 6
CL 4-78
Simplify the following expressions, if possible.
a. x + 4x - 3 + 3x2 - 2x
a. 3x2 + 3x - 3
CL 4-76
Molly read 75 pages of the latest thriller mystery novel in 45 minutes. What was her unit rate?
pages
minutes
75/45= 1.67 minutes per page
CL 4-78
e. Evaluate the expressions in parts (a) and (b) when x=5 and y = -2
a) 3(5)2 + 3(5) - 3
a) 87
CL 4-79
c. Find the rule for this line.
HINT: Growth is 5 and it starts at -2
y= 5x - 2
CL 4-74
a. Give two ways you can tell the rule y=2x-3 does NOT match the graph.
1) Starting value is 3, not -3
2) The growth (slope) is negative (-2), not positive (+2)
CL 4-78
Simplify the following expressions, if possible.
b. 2x + 4y2 - 6y2 - 9 -x + 3x
b. -2y2 + 4x - 9
CL 4-76
Molly read 75 pages of the latest thriller mystery novel in 45 minutes. If she continues at this rate, how long will it take her to read an entire 425-page novel?
pages 75 = 425
minutes 45 x
x = 255 minutes
CL 4-78
e. Evaluate the expressions in parts (a) and (b) when x=5 and y = -2
-2 (-2)2 + 4(5) - 9
What is the equation of a line?
Hint: y = __x + ___
y= mx + b
CL 4-72
a. Sketch Figure 0 and 4.
b. Make a table.
c. What's the rule?
a. Figure 0 has 5 tiles and Figure has 29
b. (0,5) (1, 11) (2, 27) (3, 23) (4, 29)
c. y= 6x + 5
CL-78
Simplify the following expressions, if possible.
Hint: Look for zero pairs!
d. 20 + 3xy - 4xy + y2 + 10 - y2
d. -xy + 30
If Molly read for 255 minutes, how many hours did she read?
Hint: How many minutes in an hour?
4.25 hours!
CL 4-74
c. Find the rule that represents the graph above in problem (a).
c. y= -2x + 3
What is the shape of a graph with x2 ?
Hint: Think Linear or Quadratic?
A U shape (parabola)