Quiz about Algebra 1 EOC Review - Linear Functions

Question 1

Question 1.

Accepted Answer

The worker packed 4 items in boxes per minute.

Answer

The worker packed 8 items in boxes per minute.

Answer

The worker packed 37 items in boxes per minute.

Answer

The worker packed 15 items in boxes per minute.

Question 2

Which situation shows causation?

Accepted Answer

When the number of hours worked by an employee each week decreases, the amount of money in the paycheck decreases.

Answer

When the number of people on a bus increases, the number of animals at the zoo increases.

Answer

When the amount of a discount on an item increases, the number of the item sold during the sale decreases.

Answer

When the number of bike trails in a city decreases, the amount of rainfall increases.

Question 3

The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers. What is the rate of change of y with respect to x of the line?

Accepted Answer

$$-\frac{5}{6}$$

Answer

$$\frac{5}{2}$$

Answer

$$-\frac{6}{5}$$

Answer

$$\frac{2}{3}$$

Question 4

A construction manager is monitoring the progress of the build of a new house. The scatterplot and table show the number of months since the start of the build and the percentage of the house still left to be built. A linear function can be used to model the relationship. What functions best models the data?

Accepted Answer

$$y=-13.5x+97.8$$

Answer

$$y=-13.5x+7.3$$

Answer

$$y=97.8x-13.5$$

Answer

$$y=7.3x-97.8$$

Question 5

Which graph best represents y = -4(x+3)-2

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 6

The table shows the linear relationship between distance in feet below sea level and the time in seconds traveled by a submarine. What is the rate of change of the distance in feet below sea level with respect to time that the submarine traveled.

Accepted Answer

$$8$$

Answer

$$-8$$

Answer

$$4$$

Answer

$$\frac{1}{8}$$

Question 7

Which graph best represents this system of equations and its solution?

$$2x=6-y$$

$$5x-4y=28$$

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 8

The graph of a line passes through the points $$\left(-3,1\right)$$ and $$\left(5,8\right)$$ . What is the slope of the line?

Accepted Answer

$$\frac{7}{8}$$

Answer

$$\frac{9}{2}$$

Answer

$$-\frac{9}{2}$$

Answer

$$-\frac{7}{8}$$

Question 9

Linear function k has a zero of -2 and a y-intercept of 6. Which graph represents k?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 10

A system of equations is graphed on the grid. Which system is best represented by the graph?

Accepted Answer

$$y=\frac{2}{5}x-3$$

$$y=-\frac{3}{5}x-8$$

Answer

$$y=\frac{2}{5}x-8$$

$$y=-\frac{3}{5}x-3$$

Answer

$$y=\frac{5}{2}x-8$$

$$y=-\frac{5}{3}x-3$$

Answer

$$y=\frac{5}{2}x-3$$

$$y=-\frac{5}{3}x-8$$

Question 11

What is the solution to this system of equations?

$$2x+y=40$$

$$x-2y=-20$$

Accepted Answer

$$\left(12,16\right)$$

Answer

$$\left(15,17.5\right)$$

Answer

There is no solution.

Answer

There are infinite solutions.

Question 12

A system of linear equations is represented by line h and line j. A table representing some points on line h and the graph of line j are shown. Which system of equations is best represented by lines h and j?

Accepted Answer

$$y=-\frac{3}{4}x-5$$

$$y=-\frac{5}{4}x+1$$

Answer

$$y=\frac{4}{3}x-5$$

$$y=\frac{4}{5}x+1$$

Answer

$$y=\frac{3}{4}x-5$$

$$y=\frac{5}{4}x+1$$

Answer

$$y=-\frac{4}{3}x-5$$

$$y=-\frac{4}{5}x+1$$

Question 13

The graph of a linear function is shown on the grid. Which equation is best represented by the graph?

Accepted Answer

$$y=-\frac{7}{4}x+7$$

Answer

$$y=-\frac{7}{4}x+4$$

Answer

$$y=-\frac{4}{7}x+4$$

Answer

$$y=-\frac{4}{7}x+7$$

Question 14

Two points are plotted on the grid. Which equation in slope-intercept form best represents the line that passes through these two points?

Accepted Answer

$$y=-\frac{10}{3}x-\frac{2}{3}$$

Answer

$$y=-\frac{2}{3}x-\frac{11}{3}$$

Answer

$$y=-\frac{11}{3}x-\frac{2}{3}$$

Answer

$$y=-\frac{2}{3}x-\frac{10}{3}$$

Question 15

Which equation best represents the line shown on the grid?

Accepted Answer

$$y=-6$$

Answer

$$y=0$$

Answer

$$x=0$$

Answer

$$x=-6$$

Question 16

The conversion of degrees Celsius to degrees Fahrenheit can be represented by a linear relationship. The graph shows the linear relationship between y, the temperature in degrees Fahrenheit, and x, the temperature in degrees Celsius from the freezing point of water. What equations best represents this situation?

Accepted Answer

$$y=\frac{9}{5}x+32$$

Answer

$$y=\frac{5}{9}x$$

Answer

$$y=\frac{9}{5}x$$

Answer

$$y=\frac{5}{9}x+32$$

Algebra 1 EOC Review - Linear Functions

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