Unit 2-3
Solve For a:
2a - 6 = 4
a = 5
Graph -x+2y=8 by using the x- and y-intercepts.
What is (-8,4)
Solve |h+3|< 5. Write the solution set using the set builder notation.
{h|-8 < h < 2}
Simplify (w^3)^5
A) w^8
B) w^15
C) w^27
D) w^243
What is B) or w^15
Solve 5a - 2b = 15 for a
a = 3 + 2b/5
Write an equation in slope-intercept form for the line with a slope of 4/7 and a y-intercept of 5.
What is y=4/7+5
Eduardo is writing a historical novel. He wrote 16 pages today, bringing his total number of pages written to more than 50. How many pages, p, did Eduardo write prior to today? Complete the inequality that represents this situation. Then solve the inequality.
Inequality: ___
Solution: ___
Inequality: 16 + p > 50
Solution: p > 34
Earth's mass is about 5,973,600,000,000,000,000,000,000 kg. Write this mass is scientific notation.
5.9736 * 10^24kg
Solve The Equation:
|-2y + 6| = 6
y = 6 or y = 0
Find the value of r so that the line passing through (-4,5) and (4,r) has a slope of 3/4.
What is r=11
Solve the system of equations.
3x + y = 34
0.5x - y = 1
What is (10,4)
Describe end behavior in your own words.
SAMPLE ANSWER: The end behavior of a graph is how the function ends, approaches positive or negative.
If f(x) = -9x + 8, then find f(-2)
f(-2) = 26
How can you tell whether multiplying -1 by the parent function will result in a reflection across across the x-axis?
A) If the constant is not grouped with x, the result will be a reflection across the x-axis
B) If the constant is grouped with x, the result will be a reflection across the x-axis
C) If the constant is greater than 0, the result will be a reflection across the x-axis
D) If the constant is less than 0, the result will be a reflection across the x-axis
What is A or If the constant is not grouped with x, the result will be a reflection across the x-axis
Which system of equations can be entered into a graphing calculator to solve 3.5x + 18 = -5.8 + 30?
A) y=3.5x
y=-5.8x
B) y=3.5x + 18
y=-5.8x + 30
C) 0=3.5x + 18
0=-5.8 + 30
D) y=9.3x - 12
What is B) or y=3.5 + 18, y=-5.8x + 30
Determine whether the sequence -432, 144, -48, 16,... is geometric.
The ratio is the same for all of the terms, -1/3, the sequence is geometric.
Suppose the graph of a function is increasing to the left of x=2 and decreasing to the right of x=2. Which describes the point at x=2?
1) Unless you know the y-coordinate of the point, you cannot say anything about the point at x=2
2) It is an x-intercept
3) It is a relative minimum
4) It is a relative maximum
What is 4 or A Relative Maximum
A city parking garage charges $4 to park for up to two hours. After that an additional charge of $2.50 per hour applies. Write an equation in point-slope form that models the total cost y, for parking x hours, where x>2.
y - 4 = 2.5(x - 2)
8x + 2y = 8
y = -4x + 4
How many solutions are there for the system? Is the system dependent or independent?
Infinitely many; dependent
n=1, 2, 3, 4...
a.n= 729, 243, 81, 27...
Find the 8th term
1/3