Free Printable Semester 1 Final Practice

1.

Find the interval where f(x) < 0

a)

x > 1

b)

x < 1

c)

-4 < x < 2

d)

x < -4 OR x > 2

2.

Find the interval where f(x) > 0

a)

x > 1

b)

x < 1

c)

-4 < x < 2

d)

x < -4 OR x > 2

3.

Find the interval where f(x) is decreasing

a)

x > -1

b)

x <- 1

c)

-4 < x < 2

d)

x < -4 OR x > 2

4.

Find the interval where f(x) is increasing

a)

x > -1

b)

x <- 1

c)

-4 < x < 2

d)

x < -4 OR x > 2

5.

State the DOMAIN

a)

$-6<x\le4$

b)

$-6\le x<4$

c)

$-7<y\le3$

d)

$-7\le y<3$

6.

State the RANGE

a)

$-6<x\le4$

b)

$-6\le x<4$

c)

$-7<y\le3$

d)

$-7\le y<3$

7.

State the DOMAIN

a)

$x\le0$

b)

$x\ge0$

c)

$y\le4$

d)

$y\ge4$

8.

State the RANGE

a)

$x\le0$

b)

$x\ge0$

c)

$y\le4$

d)

$y\ge4$

9.

How many squares are in the 5th figure if the pattern continues?

a)

17

b)

12

c)

22

d)

27

10.

Determine whether the given sequence is arithmetic, geometric, or neither

a)

arithmetic

b)

geometric

c)

neither

11.

Determine whether the given sequence is arithmetic, geometric, or neither

a)

arithmetic

b)

geometric

c)

neither

12.

Determine whether the given sequence is arithmetic, geometric, or neither

a)

arithmetic

b)

geometric

c)

neither

13.

Determine whether the given sequence is arithmetic, geometric, or neither

a)

arithmetic

b)

geometric

c)

neither

14.

Determine whether the given sequence is arithmetic, geometric, or neither

a)

arithmetic

b)

geometric

c)

neither

15.

Find the common difference

a)

-46

b)

-24

c)

24

d)

46

16.

Find the common ratio

a)

7

b)

-7

c)

-48

d)

48

17.

What is the recursive equation for the function

a)

$a_1=16$

$a_n=a_{n-1}+20$

b)

$a_1=20$

$a_n=a_{n-1}+16$

c)

$a_1=16$

$a_n=16+20\left(n-1\right)$

d)

$a_1=16$

$a_{n-1}=a_n+20$

18.

Find the 70th term for the following sequence

a)

-398

b)

-404

c)

-392

d)

-410

19.

Find $a_9$ for the sequence

a)

393216

b)

-1572864

c)

-192

d)

-216

20.

Find the explicit equation for the sequence

a)

$a_n=-50\cdot5^{n-1}$

b)

$a_n=-5\cdot\left(-50\right)^{n-1}$

c)

$a_n=50\cdot\left(-5\right)^{n-1}$

d)

$a_n=5\cdot\left(-50\right)^{n-1}$

21.

Find the rate of change (cost per hour) for renting the equipment from a local hardware store if the rate of change is constant.

a)

9

b)

1/9

c)

45

d)

5

22.

Find the slope of the line going through the point A(7,6) and point B(-8,6).

a)

0

b)

Undefined

c)

1/14

d)

-14/1

23.

Find the slope of the line going through the point A(-1,-9) and point B(-1,-5).

a)

0

b)

Undefined

c)

1/2

d)

-2

24.

The elevation of a balloon can be modeled with the equation $h(t)=16t+403$ where $h(t)$ is measured in feet and $t$ is measured in minutes. Find $h(13)$ .

a)

611 feet

b)

-24.375 feet

c)

47 feet

d)

none of the above

25.

The elevation of a balloon can be modeled with the equation $h(t)=7t+14$ , where $h(t)$ is measured in feet and $t$ is measured in minutes. Find when $h(t)=91$ .

a)

11 minutes

b)

651 minutes

c)

7.1538 minutes

d)

none of the above

26.

What is the equation of the line for the graph?

a)

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

b)

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

c)

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

d)

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

27.

Which equation represents the graph?

a)

x=-1

b)

y=-1

c)

y=x-1

d)

y=-1x

28.

Which equation represents the graph?

a)

x=3

b)

y=3

c)

y=x+3

d)

y=3x

29.

Find the x-intercept for the following equation: $y=-1/3x+18$

a)

(0,54)

b)

(54,0)

c)

(18,0)

d)

(0,-18)

30.

Find the slope of the line $-5x+9y=-4$

a)

5/9

b)

5/9x

c)

-5

d)

9/5

e)

-9/5

31.

Find the y-intercept for the line $40x-40y=160$

a)

4

b)

-4

c)

-40

d)

40

32.

What is the equation of a line going through point (6,-8) with a slope of–12

a)

y=-12x+64

b)

y=-12x+46

c)

y=6x-8

d)

y=-12x-8

33.

What is the equation of a line going through point (-5,4) and (-7,10)?

a)

y=-3x-11

b)

y=3x+19

c)

y=-3x+7

d)

y=-3x+17

34.

What is the equation of a line that is parallel to the line $y=4x+3$ and through point $(-2,10)$ ?

a)

$y=4x+18$

b)

$y=4x+2$

c)

$y=4x-42$

d)

$y=4x-18$

35.

What is the equation of a line that is perpendicular to the line $y=2x+3$ and through point $(8,-6)$ ?

a)

$y=2x-22$

b)

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

c)

$y=-\frac{1}{2}x-14$

d)

$y=2x-6$

36.

Determine if the lines are parallel, perpendicular, or neither:

$y=2x+8$ and $y=2x+22$

a)

parallel

b)

perpendicular

c)

neither

37.

Determine if the lines are parallel, perpendicular, or neither:

$y=-\frac{7}{8}x+13$ and $y=-\frac{8}{7}x-9$

a)

parallel

b)

perpendicular

c)

neither

38.

Determine if the lines are parallel, perpendicular, or neither:

$y=2x-27$ and $y=-\frac{1}{2}x-44$

a)

parallel

b)

perpendicular

c)

neither

39.

Determine if the lines are parallel, perpendicular, or neither:

$y=\frac{3}{4}x+4.5$ and $y=-\frac{4}{3}x-63$

a)

parallel

b)

perpendicular

c)

neither

40.

Determine if the lines are parallel, perpendicular, or neither:

$y=\frac{2}{7}x+6$ and $y=-\frac{2}{7}x-6.25$

a)

parallel

b)

perpendicular

c)

neither

41.

What is the equation of a line that has no slope and goes through point (2,4)?

a)

y=2

b)

y=4

c)

x=2

d)

x=4

e)

y=2x+4

42.

What is the equation of a line that has an undefined slope and goes through point (34,22)?

a)

y=34

b)

y=22

c)

x=34

d)

x=22

e)

y=34x+22

43.

Write the equation of the line passing through point $(45,50)$ which is parallel to the line $y=17$

a)

y=50

b)

y=45

c)

x=45

d)

x=50

e)

none of the above

44.

Write the equation of the line passing through point $(34,22)$ which is perpendicular to the line $x=12$

a)

y=22

b)

y=34

c)

x=34

d)

x=22

e)

none of the above

45.

Write the equation of the line passing through point $(89,101)$ which is parallel to the line $x=64$

a)

y=101

b)

y=89

c)

x=89

d)

x=101

e)

none of the above

46.

What is the slope of this line?

a)

no slope

b)

-1

c)

undefined

d)

x-1

47.

What is the slope of this line?

a)

4

b)

0

c)

-4x

d)

undefined

48.

Solve for the variable.

a)

-54

b)

36

c)

-18

d)

18

49.

Solve for the variable.

a)

-1

b)

5

c)

-5

d)

-1/2

50.

Solve for the variable.

a)

45/2

b)

-53/2

c)

-5/2

d)

-43/9

51.

Solve for the variable.

a)

-112/33

b)

-40/11

c)

-131/36

d)

-30/11

52.

Solve for the variable.

a)

11/4

b)

5/-2

c)

5/2

d)

3/2

53.

Solve for the variable.

a)

-13/5

b)

-4/15

c)

372/181

d)

0

54.

Solve for the variable.

a)

39/28

b)

-39/28

c)

1/28

d)

28/9

55.

Solve for the variable.

a)

8

b)

2/61

c)

-127/18

d)

none of the above

56.

Solve for the variable.

a)

-16/13

b)

16

c)

10/19

d)

-4

57.

Solve for the variable.

a)

all real numbers

b)

0

c)

-99

d)

no solution

58.

Solve for the variable.

a)

all real numbers

b)

no solution

c)

0

d)

-15/8

59.

Solve for the variable.

a)

$x>7$

b)

$x<7$

c)

$x<11$

d)

$x>-31/5$

60.

Solve for the variable.

a)

$x\le-71$

b)

$x\le-64$

c)

$x\ge64$

d)

$x>-31/5$

61.

Solve the compound inequality.

a)

$-3<x\le9$

b)

$-\frac{25}{3}<x\le\frac{11}{3}$

c)

$x<-3\ or\ x>9$

d)

none of the above

62.

Select the graph that is the solution to the compound inequality.

a)

b)

c)

d)

e)

63.

Select the graph that is the solution to the compound inequality.

a)

b)

c)

d)

64.

Solve for x in the equation:

$ax+b=c$

a)

$x=\frac{c-b}{a}$

b)

$x=\frac{bc}{a}$

c)

$x=c-b-a$

d)

$x=\frac{b-c}{a}$

65.

Solve for x in the equation:

$\frac{\left(x-b\right)}{a}=c$

a)

$x=ac+b$

b)

$x=c+b$

c)

$x=ac+ab$

d)

$x=ab+c$

Semester 1 Final Practice

Total questions: 65

Worksheet time: 33mins

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