Free Printable Algebra Quiz - Functions and Forms of Linear Equations

1.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

2.

Write the following equation in slope-intercept form:
4x - 3y = 12

a)

y = -4/3x + 3

b)

y = -4x + 12

c)

y = 4/3x - 4

d)

y = 4/3x - 12

3.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

4.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y +7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y+ 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

5.

a)

16

b)

48

c)

-28

d)

4

6.

Find f(2)

a)

5

b)

4

c)

3

d)

0

7.

If f(x) = x - 5, what is the value of x when f(x) = 15?

a)

20

b)

10

c)

5

d)

0

8.

Which function has a maximum at (2, 0)?

a)

b)

c)

d)

9.

Look at the function that is graphed, what are the maximum and minimum values of this function?

a)

maximum 15, minimum -5

b)

maximum 25, minimum -15

c)

maximum 25, minimum -10

d)

maximum 30, minimum -10

10.

Identify the relative maximum:

a)

(0, 3)

b)

(4, 1)

c)

(3, 0)

d)

(1, 4)

11.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

12.

What is the domain of this function?

a)

All Real Numbers

b)

f(x) ≥ -2

c)

f(x) ≥ 2

d)

x ≥ -2

13.

What is the domain of the function $f\left(x\right)=\frac{\sqrt{5}}{\sqrt{5-x}}$

a)

$All\ real\ numbers$

b)

$x\le5$

c)

$x<5$

d)

$x\le6$

14.

What is the domain of the function

f\left(x\right)=\frac{a\sqrt{x-2}}{b\sqrt{x-2}},\ where\ a\ and\ b\ are\ real\ numbers

a)

All real numbers

b)

$x\ge a$

c)

$x\ge b$

d)

$x\ge2$

e)

$x>2$

15.

Martin is rolling a two 6-sided dice. The function $P\left(n\right)$ models the probability that the sum is n.

What is the appropriate domain of the function?

a)

All real numbers

b)

$1\le x\le6$

c)

$1\le x\le12$

d)

$2\le x\le12$

Algebra Quiz - Functions and Forms of Linear Equations

Total questions: 15

Worksheet time: 45mins

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