Free Printable Writing Equations Using Regression & Finding Slope

1.

Given the exponential function, what is the equation of the graph?

a)

$y=512\left(\frac{1}{4}\right)^x$

b)

$y=32(4)^x$

c)

$y=32\left(\frac{1}{4}\right)^x$

d)

$y=512(4)^x$

2.

Which type of regression model does the scatter plot appear to show?

a)

linear

b)

exponential

c)

quadratic

3.

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

a)

$y=61.93x-1.79$

b)

$y=-1.79x+61.93$

c)

$y=0.016x+0.03$

d)

$y=0.03x+0.016$

4.

Given the Linear function, what is the equation of the graph?

a)

$y=-5x-1$

b)

$y=-x-5$

c)

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

d)

$y=-2x+3$

5.

Given the Linear function, what is the equation of the graph?

a)

$y=3x-1$

b)

$y=-9x-1$

c)

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

d)

$y=-\frac{1}{3}x-9$

6.

Given the Linear function, what is the equation of the graph?

a)

$y=\frac{4}{3}x-2$

b)

$y=6x-2$

c)

$y=16x$

d)

$y=\frac{3}{4}x+7$

7.

Given the Linear function, what is the equation of the graph?

a)

$y=4x+1$

b)

$y=\frac{1}{4}x-3$

c)

$y=-x+9$

d)

$y=-3x-1$

8.

Find the equation of the line that passes through the points:

(-2, 4) and (1, 10)

a)

y = 2x + 8

b)

y = -2x + 1

c)

y = 2x

d)

y = -2x

9.

Find the equation of the line that passes through the points:

(-3, 3) and (3, -1)

a)

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

b)

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

c)

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

d)

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

10.

Find the equation of the line that passes through the points:
$\left(-7,-3\right)$ and $\left(3,-4\right)$

a)

$y=-\frac{1}{10}x-\frac{37}{10}$

b)

$y=\frac{1}{10}x+\frac{37}{10}$

c)

$y=-\frac{37}{10}x-\frac{1}{10}$

d)

$y=x-1$

11.

What is the equation of a line that passes through the points $\left(6,-1\right)$ and $\left(11,-16\right)$ ?

$y=$ (a) $x+$ (b)

Choose from the below words

-3

17

3

-17

\frac{27}{7}

-\frac{85}{7}

12.

Find the equation of the line that passes through the points:

(-2, 4) and (1, 10)

a)

y = 2x + 8

b)

y = -2x + 1

c)

y = 2x

d)

y = -2x

13.

Find the equation of the line that passes through the points:

(-3, 3) and (3, -1)

a)

y = -⅔ x + 1

b)

y = -⅔ x

c)

y = ⅔ x + 1

d)

y = -⅔ x +3

14.

Find the equation of the line that passes through the points:
(5, 3) and (4, -3)

a)

y = 27x + 6

b)

y = -6x

c)

y = 6x - 27

d)

y = 6x + 27

15.

Find the equation of the line that passes through the points:
$\left(-7,-3\right)$ and $\left(3,-4\right)$

a)

$y=-\frac{1}{10}x-\frac{37}{10}$

b)

$y=\frac{1}{10}x+\frac{37}{10}$

c)

$y=-\frac{37}{10}x-\frac{1}{10}$

d)

$y=x-1$

16.

Write a equation in slope-intercept form for a line that passes through the points $\left(6,-1\right)$ and $\left(11,-16\right)$ ?

$y=$ (a) $x+$ (b)

Choose from the below words

-3

17

3

-17

\frac{27}{7}

-\frac{85}{7}

17.

Write a linear equation for the given table...

a)

$y=10x-86$

b)

$y=-86x+10$

c)

$y=\frac{1}{10}x+\frac{43}{5}$

d)

$y=8.6x+0.1$

18.

Write a linear equation for the given table...

a)

$y=8x+3$

b)

$y=8x-3$

c)

$y=\frac{1}{8}x-\frac{3}{8}$

d)

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

19.

Complete the statement by writing an equation in slope-intercept form for the given table.

The equation of the table is (a) where the slope is (b) and the y-intercept is (c) .

Choose from the below words

$y=\frac{3}{4}x-11$

y=-11x-\frac{3}{4}

$m=\frac{3}{4}$

$b=-11$

m=-11

b=\frac{3}{4}

b=11

m=-\frac{3}{4}

y=-\frac{3}{4}x-11

20.

Write a equation in slope-intercept form for the given graph.

a)

$y=-2x+50$

b)

$y=50x-2$

c)

$y=-\frac{1}{2}x+25$

d)

$y=-x+5$

21.

Write a equation in slope-intercept form for the given graph.

a)

$y=-\frac{1}{2}x+\frac{9}{2}$

b)

$y=\frac{9}{2}x+\frac{1}{2}$

c)

$y=x-1$

d)

$y=\frac{9}{2}x-\frac{1}{2}$

22.

Complete the statement below.

The slope of the graph is (a) and the y-intercept is (b) .

Choose from the below words

10

-5

5

-10

1

2

-1

0

23.

Write a equation in slope-intercept form for the given graph.

a)

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

b)

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

c)

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

d)

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

24.

Giovanni uses a water ballon launcher to launch a balloon at his brother. The table shows the height of the balloon, $f\left(x\right)$ , at different times. Identify the a, b, and c of the quadratic function.

a = (a) , b = (b) , c = (c)

Choose from the below words

$-16$

$40$

$2$

-2

16^2

25.

Giovanni uses a water ballon launcher to launch a balloon at his brother. The table shows the height of the balloon, $f\left(x\right)$ , at different times. What is the equation of the quadratic equation.

$f\left(x\right)=$ (a) $x^2+$ (b) $x+$ (c)

Choose from the below words

$-16$

$40$

$2$

-2

-4

-\frac{1}{2}

26.

Amos has 40 feet of fencing to create an enclosed rectangular area for the new chicks he purchased. The table shows some of the possible lengths he could choose and the resulting are it would create. What is the equation of the quadratic equation.

$f\left(x\right)=$ (a) $x^2+$ (b) $x$

Choose from the below words

$20$

-2

0

\frac{1}{20}

$-1$

27.

Amos has 40 feet of fencing to create an enclosed rectangular area for the new chicks he purchased. The table shows some of the possible lengths he could choose and the resulting are it would create. Identify the a, b, and c of the quadratic function.

a = (a) , b = (b) , c = (c)

Choose from the below words

$-1$

$20$

$0$

-\frac{1}{2}

-20

1

28.

TJ punted a football during practice and the table below shows the horizontal distance of the football compared to the height of the football. Which quadratic equation best represents the data.

a)

$y=-0.05x^2+5x+1$

b)

$y=5x^2+0.05$

c)

$y=x^2+5x+0.05$

d)

$y=x^2$

29.

Which quadratic equation best represents the graph.

*HINT* Draw a table using the points first.

a)

$g\left(x\right)=-x^2+10x$

b)

$g\left(x\right)=x^2-10x$

c)

$g\left(x\right)=x^2+10x$

d)

$g\left(x\right)=10x^2-1$

30.

Which quadratic equation best represents the graph.

*HINT* Draw a table using the points first.

a)

$g\left(x\right)=-x^2+10x$

b)

$g\left(x\right)=x^2-10x$

c)

$g\left(x\right)=x^2+10x$

d)

$g\left(x\right)=10x^2-1$

31.

What is the standard form of an exponential equation?

a)

$y=ax^2+bx+c$

b)

$y=mx+b$

c)

$f\left(x\right)=a\left(bx-c\right)^2+d$

d)

$y=a\left(b\right)^x$

32.

What is the slope-intercept form of a quadratic function?

a)

$y=ax^2+bx+c$

b)

$y=mx+b$

c)

$f\left(x\right)=a\left(bx-c\right)^2+d$

d)

$y=a\left(b\right)^x$

33.

Identify $a$ and $b$ in the exponential function represented by the data.

$a=$ (a) and $b=$ (b)

Choose from the below words

$14$

$\frac{1}{2}$

12

10

-14

34.

Identify $a$ and $b$ in the exponential function represented by the data.

$a=$ (a) and $b=$ (b)

Choose from the below words

$9$

$\frac{4}{3}$

12

-1

6.75

35.

Identify $a$ and $b$ in the exponential function represented by the data.

$a=$ (a) and $b=$ (b)

Choose from the below words

$9$

$4$

\frac{1}{4}

10

0

36.

Write the exponential function represented by the data.

(a) ( (b) ) $^x$

Choose from the below words

$\frac{1}{2}$

12

10

-14

$14$

37.

Write the exponential function represented by the data.

(a) ( (b) ) $^x$

Choose from the below words

$\frac{4}{3}$

4

0

-1

$9$

12

38.

Write the exponential function represented by the data.

(a) ( (b) ) $^x$

Choose from the below words

$4$

12

-1

-\frac{1}{4}

$9$

39.

Which equation best represents the exponential function on the graph.

HINT* Draw a table using the ordered pairs first

a)

$f\left(x\right)=6\left(9\right)^x$

b)

$f\left(x\right)=6^x$

c)

$f\left(x\right)=6\left(3\right)^x$

d)

$f\left(x\right)=3\left(6\right)^x$

40.

Which equation best represents the exponential function on the graph.

HINT* Draw a table using the ordered pairs first

a)

$f\left(x\right)=10\left(\frac{5}{2}\right)^x$

b)

$f\left(x\right)=\frac{5}{2}\left(10\right)^x$

c)

$f\left(x\right)=20\left(\frac{1}{2}\right)^x$

d)

$f\left(x\right)=-\left(2.5\right)^x$

41.

Roman paid $150 to join a handball club. He pays an additional $15 every time he uses one of the club's handball courts. What is the rate of change of the function?

a)

150

b)

15

c)

10

d)

$\frac{1}{10}$

42.

A sunflower in Julia Rosario's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 centimeters per day. What is the Rate of Change for the function?

a)

12

b)

0.6

c)

200

d)

$\frac{1}{20}$

43.

Billy plans to paint baskets. The paint costs $14.50. The baskets cost $7.25 each. What is the slope of the function?

a)

$14.50

b)

$7.25

c)

$11.60

d)

$18.13

44.

.A real estate sales agent receives a salary of $250 per week plus a commission of 2% of sales. What is the rate of change of the function?

45.

Felicia Johnson paid $125 to join a tennis club. She pays an additional $5 every time she uses one of the club's tennis courts.

46.

Graph the equation

$y=5x-4$

47.

Graph the equation

$y=-\frac{1}{3}x+6$

48.

Graph the equation

$y=x-8$

49.

Graph the equation

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

50.

Graph the equation

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

Writing Equations Using Regression & Finding Slope

Total questions: 50

Worksheet time: 2hrs 27mins

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