Free Printable FINAL EXAM 2022

1.

In a poll, 100 people were asked to indicate if they prefer to drive a truck or a car and their gender. The data are shown in the two-way frequency table. Based on the table, which of the following statements is NOT true?

a)

Women are more likely to prefer driving cars than men.

b)

Men are less likely to prefer driving trucks than women.

c)

Women are less likely to prefer driving trucks than men.

d)

Men are less likely to prefer driving cars than women.

2.

Solve the system of equations.

$\ \ \ \ \ \ \ -3x\ +\ y\ =\ 23\$

$-2x\ +\ 4y\ =\ 32$

a)

(6, -5)

b)

(6, 5)

c)

(-6, -5)

d)

(-6, 5)

3.

In the scatter plot, a line has been drawn to show the trend in a population of box turtles over a period of twelve months. Estimate the population of box turtles after 17 months.

a)

70 turtles

b)

140 turtles

c)

190 turtles

d)

400 turtles

4.

Write the slope-intercept form of the equation for the line passing through the point (0, 6) and having slope $-\frac{4}{5}$ .

a)

$y\ =\ \frac{4}{5}x\ +\ 6$

b)

$y\ =\ -\frac{4}{5}x\ -6$

c)

$y\ =\ \frac{1}{7}x\ -6$

d)

$y\ =\ 0.8x\ +6$

5.

Write the slope-intercept form of the equation for the line passing through

the point (-1, 15) and having slope -8.

a)

$y\ =\ 8x\ -7$

b)

$y\ =\ 7x\ -8$

c)

$y\ =\ \frac{1}{7}x\ +\ \frac{7}{3}$

d)

$y\ =\ -8x\ +7$

6.

Determine whether the ordered pair (6,22) is a solution of y = 4x -2

a)

Yes

b)

No

7.

Determine whether the ordered pair (12, -58) is a solution of y = 5x -2

a)

Yes

b)

No

8.

Write a rule for the linear function.

a)

$f(x)=3x+3$

b)

$f(x)=-\frac{1}{3}x-3$

c)

$f(x)=3x-3$

d)

$f(x)=\frac{1}{3}x+3$

9.

Determine whether the ordered pair (8, 30) is a solution of y = -5x -10

a)

Yes

b)

No

10.

Find the slope of the line that passes through the points (3, 6) and (9, 1).

a)

$\frac{6}{5}$

b)

$-\frac{5}{6}$

c)

$\frac{12}{7}$

d)

$-\frac{6}{5}$

11.

Solve the system.

a)

(0, -1)

b)

(4, 0)

c)

(-1, 1)

d)

(-1,0)

12.

Find the slope of the line that passes through the points (2, 12) and (10, 5).

a)

$\frac{8}{7}$

b)

$\frac{6}{5}$

c)

$-\frac{7}{8}$

d)

$-\frac{5}{6}$

13.

Write the equation for the line that passes through the points (6,9) and (2, 1).

a)

$y=-4x-2$

b)

$y=-2x+4$

c)

$y=4x+2$

d)

$y=2x-3$

14.

Find the slope of the line.

a)

$-\frac{1}{3}$

b)

$\frac{1}{3}$

c)

$\frac{1}{4}$

d)

$-\frac{1}{4}$

15.

Solve the system of equations.

a)

(-6, 2)

b)

(6, 3)

c)

(7, 2)

d)

(-2, 11)

16.

Write the equation in slope-intercept form.

a)

$y=\frac{1}{2}x+4$

b)

$y=-\frac{1}{2}x\ -3$

c)

$y=2x+4$

d)

$y=-2x-4$

17.

Write the equation in slope-intercept form.

a)

$y=-2x-3$

b)

$y=-2x\ +3$

c)

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

d)

$y=-\frac{1}{2}x-3$

18.

Which ordered pair is a solution to this system of equations?

a)

( 4, 6)

b)

(5, 8)

c)

(5, 4)

d)

(4, 5)

19.

Write the rule for the linear function.

a)

$f\left(x\right)\ =\ -4x\ -\ 3$

b)

$f\left(x\right)\ =\ 4x\ -\ 3$

c)

$f\left(x\right)\ =4x\ +\ 3$

d)

$f\left(x\right)\ =\ -4x\ +\ 3$

20.

Write the rule for the linear function.

a)

$f\left(x\right)\ =\ -3x\ -\ 1$

b)

$f\left(x\right)\ =\ 3x\ +\ 1$

c)

$f\left(x\right)\ =\ 3x\ -1$

d)

$f\left(x\right)\ =\ -3x\ +1$

21.

Write the equation for the line that passes through the points (-2, -1) and (3, 9).

a)

$y\ =\ \ x\ -\ 2$

b)

$y\ =\ -2x\ -\ 3$

c)

$y\ =\ 2x\ +\ 3$

d)

$y\ =\ x\ +\ 2$

22.

Graph the equation y = 3x -2 and tell whether it is linear.

a)

b)

c)

d)

23.

Write the equation in slope-intercept form.

a)

$y=-\frac{1}{2}x\ +3$

b)

$y\ =\ -\frac{1}{2}x-4$

c)

$y\ =\ 2x\ -3$

d)

$y\ =\ 2x\ +3$

24.

What type of function is $y\ +2\ =\ -5x?$ Explain

a)

The function is NOT linear because it is written in the form $y\ \ +\ b\ =\ mx$ .

b)

The function is linear because it can be written in the form :

$y\ =\ mx\ +b;\ y\ =\ -5x\ +2$

c)

The function is NOT linear because it is not written in the form $y\ =\ mx\ +\ b$ .

d)

The function is linear because it can be written in the form : $y\ =\ mx\ +\ b\ :\ \ y\ =\ 2x\ +\ -\ 5$

25.

In an attempt to increase attendance, a local movie theatre is running a promotion in which they offer moviegoers either a free hot dog or a free box of popcorn with the cost of admission. On Saturday, 126 people attended the movies. Complete the table. Write your answer for the highlighted box.

(a)

26.

In an attempt to increase attendance, a local movie theatre is running a promotion in which they offer moviegoers either a free hot dog or a free box of popcorn with the cost of admission. On Saturday, 126 people attended the movies. Complete the table. Write your answer for the highlighted box.

(a)

27.

In an attempt to increase attendance, a local movie theatre is running a promotion in which they offer moviegoers either a free hot dog or a free box of popcorn with the cost of admission. On Saturday, 126 people attended the movies. Complete the table. Write your answer for the highlighted box.

(a)

28.

In an attempt to increase attendance, a local movie theatre is running a promotion in which they offer moviegoers either a free hot dog or a free box of popcorn with the cost of admission. On Saturday, 126 people attended the movies. Complete the table. Write your answer for the highlighted box.

(a)

29.

In an attempt to increase attendance, a local movie theatre is running a promotion in which they offer moviegoers either a free hot dog or a free box of popcorn with the cost of admission. On Saturday, 126 people attended the movies. Complete the table. Write your answer for the highlighted box.

(a)

30.

In an attempt to increase attendance, a local movie theatre is running a promotion in which they offer moviegoers either a free hot dog or a free box of popcorn with the cost of admission. On Saturday, 126 people attended the movies. Complete the table. Write your answer for the highlighted box.

(a)

31.

In an attempt to increase attendance, a local movie theatre is running a promotion in which they offer moviegoers either a free hot dog or a free box of popcorn with the cost of admission. On Saturday, 126 people attended the movies. Complete the table. What is the relative frequency of girls who prefer popcorn? Write your answer as a percent rounded to the nearest tenth.

(a)

FINAL EXAM 2022

Total questions: 31

Worksheet time: 3hrs 35mins

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