Simplify completely
(3x+1)+(12x+8)
15x+9
Consider the following function:
y=-5x+3
What is the slope of this function?
-5
Simplify as much as possible:
root(3)(8/125)
2/5
Factor completely
20w-35
5(4w-7)
What is 50% of 360?
180
Consider this function rule:
y=4x^3-10x
Describe its shape as U-Shape, straight line or S-shape.
S-shape
Multiply
2x(3x+6)
6x^2+12x
Multiply
6(5.95)
35.7
Simplify completely:
(6p+14)-(8p+9)
-2p+5
Determine the slope of a function that has the following table of values.
4
Simplify as much as possible:
root(3)(-64)
-4
What is the complete factorization of
12k^2+32k
4k(3k+8)
What is 25% of 18?
4.5
Consider the function:
y=2-9x^2
Classify the function as linear, cubic or quadratic.
Quadratic
Multiply and then simplify as much as possible:
(u-8)(u-4)
u^2-12u+32
Which expression is greater?
5sqrt49 or 3sqrt100
5sqrt49
Simplify completely
(24a^3d^2)/(-4ad^3)
when a and d are nonzero
-(6a^2)/(d)
A linear function has a slope of 12. Interpret this slope with a complete sentence using the words "inputs" and "outputs."
As the inputs increase by 1, the outputs increase by 12.
Simplify as much as possible:
7+4sqrt11-4+5sqrt11
3+9sqrt11
Factor Completely:
15h^2+40h
5h(3h+8)
Xue brought his computer into a shop for repairs. When he came to pick it up, he was given a bill for $500. Xue was unhappy because the technician made a few repairs that were not agreed upon. They agreed on a final bill that was 25% lower than the initial bill. What was the amount of the revised bill?
$375
Determine an equation for the line that has a slope of 4 and that passes through the point (-2,12).
y=4x+20
Multiply and simplify as much as possible.
(4d+5)^2
16d^2+40d+25
Simplify as much as possible:
-2+3sqrt7+5-8sqrt7
3-5sqrt7
Simplify completely:
(8k^2-6k-2)+(k^2+7k+8)
9k^2+k+6
What is the slope of the function shown in the graph?
6
The value of the following expression
sqrt(13)
lies between which two consecutive integers?
3 and 4
Factor completely:
33m^3+27m^4
3m^3(11+9m)
What is 75% of 900?
Consider the following function:
y=-5
Classify the function as linear, cubic or quadratic.
linear
Simplify completely
(30r+18)/(10r+6) when x!=-.6
3
Simplify completely:
3sqrt64
24
Simplify as much as possible
(21p^2+7p-14)/(7p)
(3p^2+p-2)/(p)
A linear function has a slope of 0. Interpret this slope with a complete sentence using the words "inputs" and "outputs."
As the inputs increase by 1, the outputs remain the same.
Simplify as much as possible:
sqrt17(4-sqrt17)
4sqrt17-17
Factor completely:
18a^2y-8ny+12y
2y(9a^2-4n+6)
A grocery store has 1200 square feet of floor space. Then the store buys the neighboring building and expands its floor space by 50%. The following year, the store rents space in the next building and increases its floor space by another 25%. After the two expansions, how much floor space does the grocery store have?
2,250 square feet
Determine an equation for a function with the following table of values.
y=-6x+20
Multiply:
-3n(n^2-5n+4)
-3n^3+15n^2-12n