Surprise
Factor Completely:
x2 + 4x - 12
(x - 2)(x + 6)
State what the correlation coefficient indicates about the linear fit of the data.
It shows how strongly related the data points are.
What type of function is being described?
A printer can print one page every three seconds.
Linear Function
State the correlation coefficient, to the nearest hundredth, for the line of best fit for these data:
x | 72 | 75 | 81 | 78 | 77 | 76 | 80 | ______________________________________
y| 126 | 183 | 263 | 229 | 200 | 185 | 249 |
0.99
The expression 5a + 2b is equivalent to
1) 5a • 52 • 5b 3) 252ab
2) 5a • 25b 4) 25a+2b
2) 5a • 25b
If s(t) = -16t2 + 64t + 80, state the vertex of s(t).
(2,144)
Write a polynomial that includes:
A fourth-degree trinomial with a leading coefficient of 2 and a constant value of 5.
2x4 + 3x + 5
If f(x) = 3x2 + 8x , determine the value of f(-3).
3.
Solve algebraically for x: 0.05(x - 3) = 0.35x - 7.5
x = 147/6
In an arithmetic sequence, the first term is 4 and the third term is -2. What is the common difference?
1). -1 3). -3
2). -2 4). -6
3). -3
Jen joined the Fan Favorite Movie Club at the local movie theater. At this theater, the cost of admission in May and June remains the same. In May, she saw 2 matinees and 3 regular-priced shows and spent $38.50. In June, she went to 6 matinees and one regular-priced show and spent $47.50.
Write a system of equations to represent the cost, m, of a matinee ticket and the cost, r, of a regular-priced ticket.
2m + 3r = 38.50
6m + r = 47.50
Is this expression rational or irrational? Explain why.
-2/3 + 1/4
Rational, because it repeats.
If f(x) = x2 , write a function that represents a shift of the graph of f(x) 4 units to the right and 3 units down.
1). g(x) = (x + 4)2 + 3 3). h(x) = (x - 4)2 - 3
2). j(x) = (x + 4)2 - 3 4). k(x) = (x - 4)2 + 3
3). h(x) = (x - 4)2 - 3
Name a point in the solution set given
y > 3x - 4
x + 2y < 6
(-2,-2)
A geometric sequence with a common ratio of 23 is
1) -10,-7,-4,-1, ... 3) -2,-6,-18,-54, ...
2) 14,11,8,5, ... 4) 4,-12,36,-108, ...
4
Given these equations, solve for both variables:
2s + 3g = 38.50
6s + g = 47.50
s = 6.5
g = 8.5
When solving the equation: 4x2 - 16 = 0, Laura wrote 4x2 = 16 as her first step. Which property justifies Laura's first step?
Addition property of equality.
Explain why the relation shown in the table below is a function.
x | -1 | 0 | 1 | 2 | ____________________________
y| 2 | 4 | 4 | 5 |
Every x value has only one y value.
Write the liner regression equation represented in the equation below:
x | 72 | 75 | 81 | 78 | 77 | 76 | 80 | ______________________________________
y| 126 | 183 | 263 | 229 | 200 | 185 | 249 |
y = 15.13x - 959.63
The amount of money a plumber charges is represented by the function p(h) = 45 + 90h. The best interpretation of the y-intercept of this function is that the plumber charges
1). $45 to come to the house
2). $45 per hour that he works
3). $90 to come to the house
4). $90 per hour that he works
1). $45 to come to the house
Factor completely:
16x4 - 625
(2x - 5)(2x + 5)(4x2 + 25)
Which function has the zeros -1, 3, and -4?
1) f(x) = (x + 1)(x - 3)(x - 4)
2) g(x) = (x - 1)(x + 3)(x - 4)
3) h(x) = (x + 1)(x - 3)(x + 4)
4) k(x) = (x - 1)(x + 3)(x + 4)
3) h(x) = (x + 1)(x - 3)(x + 4)
What is an equation of the line that passes through (3,7) and has a slope of 2?
1). y - 7 = 2(x - 3) 3). y - 7 = 2(x + 3)
2). y - 3 = 2(x - 7) 4). y + 3 = 2(x + 7)
1). y - 7 = 2(x - 3)
Use the quadratic formula to determine the exact roots of the equation x2 + 3x - 6 = 0.
x = -3- 33/2 & x = -3+33/2
(square root over the 33's)
Use the complete the square method to solve & round your answer to the nearest tenth.
x2 + 22x = 7
x = 22.3
x = -0.3