Quiz about Applying Linear Relationships

Question 1

Write the inequality represented by the graph.

Accepted Answer

$$y>-\frac{3}{2}x-2$$

Answer

$$y=-\frac{3}{2}x-2$$

Answer

$$y<-\frac{3}{2}x-2$$

Answer

$$y>-\frac{2}{3}x-2$$

Question 2

The graphs of linear functions f and g are shown. If $$f\left(x\right)=x$$ , then which function best represents the graph of g?

Accepted Answer

$$g\left(x\right)=f\left(x\right)-3$$

Answer

$$g\left(x\right)=f\left(x\right)+3$$

Answer

$$g\left(x\right)=-3f\left(x\right)$$

Answer

$$g\left(x\right)=\frac{1}{3}f\left(x\right)$$

Question 3

The graph of $$x-2y=-4$$ is shown. Which ordered pair is in the solution set of $$x-2y>-4$$ ?

Accepted Answer

(4,-2)

Answer

(0,2)

Answer

(1,3)

Answer

(-2,4)

Question 4

A high school band will spend at most $2,500 to buy new music stands and chairs for the band hall. Each music stand will cost $25, and each chair will cost $35.

Write an inequality that represents all possbile combinations of x, the number of music stands and y, the number of chairs the band can buy for the band hall.

Accepted Answer

$$25x+35y\le2500$$

Answer

$$25+35=2500$$

Answer

$$35x+25y=2500$$

Answer

$$25x+35y<2500$$

Question 5

Is the graphed line perpendicular to the y-axis or the x-axis?

Accepted Answer

y-axis

Answer

x-axis

Question 6

Is the equation $$x=2$$ parallel to the x-axis or y-axis?

Accepted Answer

y-axis

Answer

x-axis

Question 7

Mr. Lewis graphed $$f\left(x\right)=x$$ and $$g\left(x\right)=-f\left(x\right)+2$$ on the same coordinate grid. Which statement describes how f and g are related?

Accepted Answer

The graph of f is reflected across the x-axis and shifted 2 units up to create graph g.

Answer

The graph of f is shifted 2 units down to create graph g.

Answer

The graph of f is steeper than the graph of g.

Answer

The graph of f is less steep than the graph of g.

Question 8

Write the inequality represented by the graph in standard form.

Accepted Answer

$$2x-3y\ge-9$$

Answer

$$2x+3y\ge-9$$

Answer

$$3x-2y\ge-9$$

Answer

$$2x-3y>-9$$

Question 9

What is the solution to $$y=\frac{1}{2}x+2$$ and $$y=4x-5$$ ?

Accepted Answer

(2,3)

Answer

(3,2)

Answer

(0,2)

Answer

(0,-5)

Question 10

What is the solution to $$2x-y=-5$$ and $$4x+y=-10$$ ?

Accepted Answer

(2.5,0)

Answer

(0,5)

Answer

(0,2.5)

Answer

(0,-10)

Question 11

Which equation best represents the point-slope form of the line that passes through point W and is parallel to line .

Accepted Answer

$$y-5\ =\ \frac{4}{5}\left(x-1\right)$$

Answer

$$y-5\ =\ -\frac{4}{5}\left(x-1\right)$$

Answer

$$y-5\ =\ -\frac{5}{4}\left(x-1\right)$$

Answer

$$y-5\ =\ \frac{5}{4}\left(x-1\right)$$

Question 12

Which function is equivalent to $$f\left(x\right)=4\left(x-3\right)^2+5$$

Accepted Answer

$$f\left(x\right)=4x^2-24x+41$$

Answer

$$f\left(x\right)=16x^2-96x+149$$

Answer

$$f\left(x\right)=4x^2+41$$

Answer

$$f\left(x\right)=16x^2-96x+29$$

Question 13

What is the solution to the equation $$7w-2\left(w-9\right)=4-8\left(w+2\right)$$

Accepted Answer

$$-\frac{30}{13}$$

Answer

$$-\frac{26}{9}$$

Answer

$$-\frac{10}{9}$$

Answer

$$\frac{15}{13}$$

Question 14

Write an equation of the line in slope intercept form that is parallel to $$5x+2y=15$$ and goes through (-2,12).

Accepted Answer

$$y=-\frac{5}{2}x+7$$

Answer

$$y=\frac{5}{2}x+7$$

Answer

$$y=-\frac{2}{5}x-7$$

Answer

$$y=\frac{2}{5}x-7$$

Applying Linear Relationships

21 questions

Write the inequality represented by the graph.

Is the graphed line perpendicular to the y-axis or the x-axis?

Write the inequality represented by the graph in standard form.

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