Free Printable Math 1 Practice Final: Semester 1

1.

a)

-2

b)

24

c)

10

d)

2

2.

You have a function $f\left(x\right)=3^x\ +2$ what is the output if the input x = 4.

Write your final answer in FUNCTION NOTATION.

a)

f(x) = 83

b)

f(4) = 14

c)

f(4) = 83

d)

f(x) = 14

3.

Which image is NOT the graph of a function?

a)

b)

c)

d)

4.

Fill in the missing value.

a)

14

b)

17

c)

-16

d)

0

5.

Fill in the missing value.

a)

1

b)

3

c)

2

d)

4

6.

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

Describe the graph. In your explanation include the coordinates of the y-intercept and what the slope represents.

(Choose 3 answers)

a)

The graph is Increasing.

b)

The y-intercept is (0, -4)

c)

The slope is 1/2

d)

The slope is 4

e)

The y-intercept is (0, 1/2)

7.

What is the range of the function graphed?

a)

-3 < x ≤ 6

b)

-3 < y ≤ 6

c)

2 < y ≤ 6

d)

2 < x ≤ 6

8.

What is the range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

9.

All of the y values or outputs are called what?

a)

Domain

b)

Range

10.

All of the x values or inputs are called what?

a)

Domain

b)

Range

11.

2⁵ is the same as 2 x 5.

a)

True

b)

False

12.

Simplify the following:
(x³)⁶

a)

x⁹

b)

x¹⁸

c)

x⁶

d)

x³

13.

Simplify:
9³⋅ 9^{4 =}9¹²

a)

True

b)

False

14.

Simplify the expression: r⁶⋅r²⋅r³=

a)

r⁶⁺²⁺³

b)

r¹¹

c)

11r

15.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

16.

4⁰

a)

0

b)

1

c)

4

d)

-4

17.

$\frac{x^3\cdot x^4}{x^2}$

a)

$\frac{x^7}{x^2}$

b)

$\frac{1}{x^{10}}$

c)

$x^5$

d)

$x^{-5}$

18.

$\left(\frac{a^3}{b^5}\right)^4$

a)

$\frac{a^{12}}{b^{20}}$

b)

$\frac{a^7}{b^5}$

c)

$\frac{a^7}{b^9}$

d)

$a^{12}b^{20}$

19.

a)

a⁶

b)

a^-60

c)

a⁴

d)

a^-7

20.

Which expression is equivalent to the given?

a)

b)

c)

d)

21.

Which two lines are parallel?

a)

$y=\frac{3}{7}x-25$

b)

$y=\frac{3}{7}x+2$

c)

$y=\frac{7}{3}x-25$

d)

$y=3x+13$

e)

$y=7x+9$

22.

Which two lines are parallel?

a)

$y=-\frac{1}{4}x-25$

b)

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

c)

$y=-4x-25$

d)

$y=4x+13$

e)

$y=\frac{1}{4}x+9$

23.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

24.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

25.

What is the slope of a line perpendicular to the line

y=-\frac{1}{4}x-17

(Just type the slope)

(a)

26.

Which equation is perpendicular to:
y = -6x +2

a)

y = 6x +1

b)

y = 1/6x +4

c)

y = -6x +3

d)

y = -1/6x +5

27.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

28.

Find the slope of the line that goes through the points

(−1,−2) and (−3,−4).

a)

1

b)

2

c)

3

d)

4

29.

Find the slope given the points (2, −7) and (−1, 6).

a)

-13/3

b)

13/3

c)

0

d)

2/3

30.

Which set of directions describes the translation from ABCD to A'B'C'D'?

a)

Down 6, left 3

b)

Down 3, right 6

c)

Up 3, left 6

d)

Up 6, right 3

31.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

32.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

33.

Point P is graphed at (4,5) shown on the grid below. Point P is 90⁰ counterclockwise to Point P'. What are the coordinates of P'?

a)

(-5, 4)

b)

(-4, 5)

c)

(5, -4)

d)

(-4, -5)

34.

What is the slope of the table?

a)

m=5/6

b)

m=-5/6

c)

m=6/5

d)

m=-6/5

35.

a)

A. y=-3x+8

b)

B. y=3x+8

c)

C. y=-3x-8

d)

D. y=3x-8

36.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

37.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

38.

Write the equation of the line in slope-intercept form through (4, 5) and (2, -1)

a)

y = -7x - 1

b)

y = 3x - 7

c)

y = -x - 7

d)

y = 7x - 1

39.

Write the equation of the line in slope-intercept form through (5, -4) and (0, -3)

a)

y = -1/5x - 3

b)

y = -3/5x - 4/5

c)

y = -3x - 4/5

d)

y = -4/5x - 3

40.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

41.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

42.

Which point-slope equation matches the graph?

a)

$y-4=\frac{3}{2}\left(x-2\right)$

b)

$y-2=\frac{3}{2}\left(x-4\right)$

c)

$y+2=\frac{2}{3}\left(x+4\right)$

d)

$y+4=\frac{2}{3}\left(x+2\right)$

43.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

44.

Convert 62 miles/hour to feet/second. (5,280 ft = 1 mi)

a)

5,456 ft/s

b)

.003 ft/s

c)

91 ft/s

d)

909 ft/s

45.

Americans drink 5,604,000 gallons of sweet tea each day. How many liters is that? (1 gal = 3.79 L)

a)

21,200,000 L

b)

21,239,160 L

c)

21,207,190.2 L

d)

21,000,000 L

46.

How many hours are in a year?

(Hint: 365 days = 1 year) (1 day=24 hours)

a)

8760 hrs

b)

8670 hrs

c)

525,600 hrs

47.

The length of a desk is 3.5 feet. How many centimeters is the length?

(2.54 cm = 1 inch; 1 ft = 12 in)

a)

60 cm

b)

120.23 cm

c)

106.68 cm

d)

117.12 cm

48.

What is the range of the graph?

a)

y ≥ -6

b)

-7 ≤ y ≤ 3

c)

-8 ≤ y ≤ 4

d)

y ≤ -6

e)

All real numbers

49.

Range?

a)

y ≥ –2

b)

y ≤ –2

c)

y > –3

d)

y > –2

e)

y ≤ –3

50.

What is the range of the function graphed?

a)

-3 < x ≤ 6

b)

-3 < y ≤ 6

c)

2 < y ≤ 6

d)

2 < x ≤ 6

Math 1 Practice Final: Semester 1

Total questions: 50

Worksheet time: 3hrs 58mins

Similar Resources on Wayground