EQs and Expressions
Solve for z:
3z = 12
z = 4
What is the equation of the line passing through the points (3, 2) and (–9, 6)?
x + 3y = 9
In a kitchen there are four containers that can hold different quantities of water, as shown on the powerpoint. How many liters can the 4 containers hold in all?
4x + 3
What are the solutions of 3x2 = 18x?
0 and 3
Find the domain of the function represented in the graph on the powerpoint.
[-5,3] OR -5(< or =)x(< or=)3 OR values between -5 and 3
Solve for b:
.75b - 5 =1
b = 8
Write 2x = y + 3 in slope-intercept form.
y = 2x - 3
Factor: 16a2-49
(4a+7)(4a-7)
One solution of the equation 3x2 - 26x +5 = 0 is 1/3. What is the other solution?
Which point lies in the solution set for the following inequalities?
a) (7,1)
b) (3,4)
c) (-2,2)
d) (4,-2)
d
Solve for x:
-4(x+10) = -3(x-2)
x=-52
Which equation represents the line passing through the point (4, –16) and is perpendicular to the line
y = -(2/3)x + 8
y = (3/2)x - 22
A concert hall is in the shape of a rectangle. Its floor has a length of (x + 6) meters and a width of (2x - 3) meters. The expression below represents the area of the floor of the hall in square meters.
(x + 6)(2x - 3)
What is the area of the concert hall in meters?
2x2 + 9x - 18
What is the positive x-intercept of the graph of
y = x2 - 2x -3
3
Determine the y-value for the system of equations:
x - 3y = 4
2x + y = 8
Solve for A:
gA + c = e
A = (e-c)/g
For a science experiment Corrine is adding hydrochloric acid to distilled water. The relationship between the amount of hydrochloric acid, x, and the amount of distilled water, y, is graphed on the powerpoint. Which inequality best represents the graph?
3y-2x>0
A greenhouse that specializes in growing bell peppers is divided into sections. The number of plants in each section depends on the number of sprinklers in that section.
In a section with x sprinklers, there are 3x(x + 3) Red bell pepper plants and (x + 4)2 Yellow bell pepper plants.
What simplified expression represents the total number of Red and Yellow bell pepper plants in a section with x sprinklers?
4x2 + 17x + 16
The path of a soccer ball through the air can be modeled by the equation h = -4.9t2 + 4.9t. Approximately, after how many seconds does it land?
1 second
See powerpoint!
10
Solve for x:
20x + 15x + 20(x - 1) + 15(x - 1) = 245
x = 140
A company builds computers. It costs $6,700 to build 10 computers and $12,200 to build 20 computers. Which equation models the cost, C(x), as a linear function of the number of computers built, x?
C(x) = 550x + 1200
See powerpoint!
A
A company’s monthly profit, P, from a product is given by P = -x2+ 105x - 1050, where x is the price of the product in dollars. What is the lowest price of the product, in dollars, that gives a monthly profit of $1550?
$40
Write the explicit formula for the sequence
{6, 18, 54, 162, ...}
an = 6(3)n-1