Midterm Algebra 2 - Chapters 1-5

Determine the relationship between the values of f(g(3)) and g(f(3)). f(x) = 7x g(x) = -3x + 15

f(g(3)) > g(f(3))

Find f(g(x)). f(x) = 2x + 1 g(x) = 4x - 5

f(g(x)) = 8x - 9

Find the inverse of the function: h(x) = 6x - 6

h⁻¹(x) = x+6/6

Find the slope of the line that contains the two points (3, 4) and (6, 1)

m = -1

What is the slope of a line containing the points (5, 5) and (-9, 0)?

m = 5/14

Simplify the exponential expression t⁴t⁶t⁻²

t⁸

Solve the inequality, then choose the value of x below that would satisfy the inequality. -10x - 50 ≥ 30

x = -15

Solve the absolute value equation. |4x - 2| = 10

x = -2, x = 3

Which value of x makes the following matrix equation true? 2 [5 1, x 3] - [5 4, 3 -2] = [5 -2, 7 8]

x = 5

Which of the equations below represents a line with slope of -2 and a y-intercept of 5?

y = -2x + 5

Find an equation for a line that is parallel to the line y = 2x -5 and has a y-intercept at 7.

y = 2x + 7

Find the equation of a line in slope-intercept form with a slope of 5 that contains the point (3, 8)?

y = 5x - 7

Choose the inequality that is graphed.

y > -2x + 2

Which system of equations represents the situation described. Tyler is 3 years older than this brother, David. Two years ago, Tyler was 4 times as old as David. (Let t represent Tyler's age and d represent David's age)

{t = d + 3 {t - 2 = 4(d - 2)

Which adjacency matrix represents the directed network shown?

[011, 200, 011]

Add the matrices [6 5, 3 1] + [3 1, -5 5]

[9 6, -2 6]

One of the solutions to the absolute value equation below is x = 4. What is the other? |4x - 8| + 5 = 13

0

What would be the dimensions of a matrix that is the result of multiplying a 2 x 3 with a 3 x 5 matrix?

2 x 5

Simplify the exponential expression (2x³y)²

4x⁶y²

Solve the system of equations, then enter the value of y as your answer. {-5x + 2y = 9 {y = 7x

7

Find f(6). f(x) = 3x² - 100

8

Describe the transformation from the parent function of f(x) = x² to g(x) = (x - 5)²

A translation of 5 units to the right.

Find the domain and range of the graph show.

D: -3 ≤ x ≤ 3 R: 1 ≤ y ≤ 10

Solve the system of equations, then enter the value of x. {-7x - 6y = 4 {x = -3y + 8

-4

Solve for x. 4x - 5 = 9x + 20

-5

Which of the following points below is on the line defined by the two parametric equations below? x(t)=1/2t + 4 y(t) = 2t - 10

(4, -10)

Describe the change in the graph of the transformation from f to g. f(x) = x² + 5 g(x) = (x- 6)² + 5

++++Not a vertical translation 6 units to the left+++ maybe a translation 6 units to the left and 5 units up?

Find the slope of the line represented by the equation of 4x + y = 8.

-4

The graph of a linear inequality of y ≤ -2x + 4, however the inequality is graphed incorrectly. What is incorrect about the graphing of the inequality?

The graph is shaded in the wrong direction.

What is the relationship between the two lines described by the equations below? y = 7x + 4 y = 7x - ¼

They're parallel