Free Printable Secondary I Term 2 Final Review

1.

Concept #25 Practice

Put the following equation in Slope-Intercept form.

9x - 6y = 18

a)

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

b)

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

c)

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

d)

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

2.

Concept #25 Practice
Put the following equation in Slope-Intercept form.

- 4x + 12y = - 36

a)

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

b)

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

c)

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

d)

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

3.

Concept #26 Practice

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

4.

Concept #26 Practice

Solve for h

V = πr²h for h

a)

V/(πr²) = h

b)

V - πr² = h

c)

V + πr² = h

d)

V/π = h

5.

Concept #27 Practice

If f(x) = -4x - 5 and

g(x) = 3 - x,

what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

6.

Concept #27 Practice

If f(x) = 3x + 7 and

g(x) = 6 - x,

what is g(-4) * f(1)?

a)

20

b)

100

c)

0

d)

-10

7.

Concept #28 Practice

How would you describe this pattern's rule?

16, 11, 6, 1

a)

Add 5

b)

Subtract 3

c)

Subtract 5

d)

Subtract 6

8.

Concept #28 Practice

What is the rule for the following pattern: 99, 88, 77, 66

a)

add 11

b)

subtract 11

c)

add 12

d)

subtract 12

9.

Concept #28 Practice

What rule is being used in the pattern below?

2, 4, 6, 8, 10, 12

a)

multiply by 2

b)

subtract 2

c)

add 2

d)

divide by 2

10.

Concept #29 Practice

Is this sequence arithmetic, geometric, or neither?

{26, 22, 18, 14, ...}

a)

Arithmetic

b)

Geometric

c)

Neither

11.

Concept #29 Practice

Is this sequence Arithmetic, Geometric, or Neither?

{2, 9, 7, 14, 12, 19, ... }

a)

Arithmetic

b)

Geometric

c)

Neither

12.

Concept #29 Practice

What kind of sequence is illustrated below?

400, 200, 100, 50, 25, ...

a)

Arithmetic

b)

Geometric

c)

Neither

13.

Concept #30 Practice

Continue the pattern: 48, 42, 36, 30, 24, _____, _____, _____

a)

17, 10, 3

b)

19, 14, 9

c)

18 ,12 , 6

d)

20,16, 12

14.

Concept #30 Practice

How many blocks will be in the 4th term?

a)

The next term will have 16 blocks

b)

The next term will have 15 blocks.

c)

The next term will have 14 blocks.

d)

This is the end of the pattern.

15.

Concept #30 Practice

Continue the pattern: 16, 27, 38, _____, ______, _____

a)

27, 16, 5

b)

50, 61, 72

c)

48, 58, 68

d)

49, 60, 71

16.

Concept #31 Practice

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:

-14, -11, -8, -5, ...

a)

Arithmetic

Common Difference: 3

b)

Arithmetic

Common Difference: -3

c)

Geometric

Common Ratio: 4

d)

Geometric

Common Ratio: 3

17.

Concept #31 Practice

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:

97, 86, 75, 64, ...

a)

Arithmetic

Common Difference: 8

b)

Geometric

Common Ratio: -11

c)

Arithmetic

Common Difference: -11

d)

Geometric

Common Ratio: -8

18.

Concept #31 Practice

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:

-6, -18, -54...

a)

Arithmetic

Common Difference: 3

b)

Geometric

Common Ratio: -3

c)

Arithmetic

Common Difference: 12

d)

Geometric

Common Ratio: 3

19.

Concept #31 Practice

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:

256, 64, 16, 4,...

a)

Arithmetic

Common Difference: 4

b)

Arithmetic

Common Difference: ¹/₄

c)

Geometric

Common Ratio: -4

d)

Geometric

Common Ratio: ¹/₄

20.

Concept #32 Practice

Find the 22nd term of the following sequence:

5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

21.

Concept #32 Practice

Find the 10th term of this sequence:

{96, 48, 24, 12, ... }

a)

3/16

b)

1/2

c)

6

d)

3

22.

Concept #34 Practice

When Jemma was born, her parents put $8,000 into a college fund account that earned 9% simple interest. Find the balance in the account amount after 18 years.

a)

$720

b)

$12,960

c)

$1,080

d)

$20,960

23.

Concept #34 Practice

When Thomas was born, his parents put $8,000 into a college fund account that earned 9% compound interest. Find the balance in the account after 18 years.

a)

$29.736.96

b)

$20,960

c)

$12,960

d)

$37,736.96

24.

Concept #35 Practice

The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city.

Every year the population drops (decreases) by 4.5%. What is the population after 3 years?

a)

1,069 people

b)

894 people

c)

816 people

d)

854 people

25.

Concept #35 Practice

A population of fish starts at 8,000 and increases by 6% per year.

What will the fish population be in 10 years?

a)

$14,327$

b)

$4309$

c)

$839$

d)

$7680$

26.

Concept #36 and 37 Practice

What is the domain of the following function?

a)

y>1

b)

y = 1

c)

all real numbers

27.

Concept #36 and 37 Practice

What is the range of the function?

a)

y>0

b)

y<0

c)

y=0

d)

All real numbers

28.

Concept #36 and 37 Practice

Where is the asymptote in the function?

a)

y=4

b)

y=3

c)

all real numbers

d)

does not exist

29.

Concept #36 and 37 Practice

Where is the y-intercept?

a)

(.5, 0)

b)

(0, -1)

c)

y=-2

d)

does not exist

30.

Concept #36 and 37 Practice

What is the x-intercept?

a)

(0,0)

b)

(-3,0)

c)

does not exist

d)

(2,0)

31.

Concept #38 Practice

Select the equation of the function $f\left(x\right)\ =\ 2^x$ after it has been translated down 7 units.

a)

$g\left(x\right)\ =\ 2^{\left(x-7\right)}$

b)

$g\left(x\right)\ =\ 2^{\left(x+7\right)}$

c)

$g\left(x\right)\ =\ 2^x-7$

d)

$g\left(x\right)=2^x+7$

32.

Concept #38 Practice

Select the equation when the function $f\left(x\right)\ =\ 4^x$ has been translated to the left 3.

a)

$g\left(x\right)=4^x-3$

b)

$g\left(x\right)=4^x+3$

c)

$g\left(x\right)=4^{\left(x-3\right)}$

d)

$g\left(x\right)=4^{\left(x+3\right)}$

33.

Concept #39 Practice

Select the correct coordinate notation for the following translation.

$f\left(x\right)\ =\ 3^{\left(x\right)}$

$g\left(x\right)=3^{\left(x+2\right)}$

a)

$\left(x+2,\ y\right)$

b)

$\left(x-2,\ y\right)$

c)

$\left(x,\ y+2\right)$

d)

$\left(x,\ y-2\right)$

34.

Concept #39 Practice

Select the correct coordinate notation for the following translation.

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

$g\left(x\right)=3x+6$

a)

$\left(x+6,\ y\right)$

b)

$\left(x-6,\ y\right)$

c)

$\left(x,\ y+6\right)$

d)

$\left(x,\ y-6\right)$

35.

Concept #39 Practice

Select the correct coordinate notation for the following translation.

$f\left(x\right)\ =\ 4^{\left(x\right)}$

$g\left(x\right)=4^{\left(x-3\right)}-5$

a)

$\left(x+3,\ y-5\right)$

b)

$\left(x-3,\ y-5\right)$

c)

$\left(x+3,\ y+5\right)$

d)

$\left(x+5,\ y-3\right)$

36.

Concept #39 Practice

A point is translated 3 units left and 4 units up. What is the correct translation rule?

a)

(x,y)→(x+3,y+4)

b)

(x,y)→(x-3,y-4)

c)

(x,y)→(x+3,y-4)

d)

(x,y)→(x-3,y+4)

37.

Concept #39 Practice

What transformation is happening? (x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

38.

Concept #40

Select the equation that represents the function $f\left(x\right)=6^x$ after it has been reflected across the y-axis.

a)

$g\left(x\right)=-6^x$

b)

$g\left(x\right)=6^{-x}$

c)

$g\left(x\right)=-6^{-x}$

d)

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

39.

Concept #40

Select the equation that represents the function $f\left(x\right)=5^x$ after it has been reflected across the x-axis.

a)

$g\left(x\right)=-5^x$

b)

$g\left(x\right)=5^{-x}$

c)

$g\left(x\right)=-5^{-x}$

d)

$g\left(x\right)=5^x$

40.

Concept #40 Practice

Is the reflection shown a reflection over the x or y axis?

a)

x axis

b)

y axis

41.

Concept #40 Practice

Is this a reflection over the X-axis or Y-axis

a)

X axis

b)

Y axis

42.

Concept #41 Practice

Select the correct coordinate notation for the following reflection.

$f\left(x\right)=4x+8$

$g\left(x\right)=-\left(4x+8\right)$

a)

$\left(-x,\ -y\right)$

b)

$\left(-x,\ y\right)$

c)

$\left(x,\ -y\right)$

d)

$\left(-4x,\ y+8\right)$

43.

Concept #41 Practice

Select the correct coordinate notation for the following reflection.

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

$g\left(x\right)=4^{-x}+3$

a)

$\left(-x,\ -y\right)$

b)

$\left(-x,\ y\right)$

c)

$\left(x,\ -y\right)$

d)

$\left(-4x,\ y+3\right)$

44.

Concept #41 Practice

Is the reflection shown a reflection over the x or y axis?

a)

x axis

b)

y axis

45.

Concept #41 Practice

Is the reflection shown a reflection over the x or y axis?

a)

X axis

b)

Y axis

46.

Concept #42 and 43 Practice

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

47.

Concept #42 and 43 Practice

a)

b)

16c³d³

c)

d)

48.

Concept #42 and 43 Practice

a)

b)

c)

3x⁴y

d)

49.

Concept #42 and 43 Practice

a)

$\frac{27x^{15}z^3}{y^6}$

b)

$\frac{9x^{15}z^3}{y^6}$

c)

$27x^8yz^4$

d)

$\frac{27x^8z^4}{y}$

50.

Concept #44 Practice

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

51.

Concept #44 Practice

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

52.

Concept #44 Practice

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

53.

Concept #45 Practice

Use your calculator to find

a)

124.7

b)

-125

c)

5159780352

d)

12

54.

Concept #45 Practice

Use your calculator to find

a)

1215

b)

does not exist

c)

-9

d)

243

55.

Concept #46 Practice

Sovle for x:

5^{-3x - 1} = 25

a)

x = -1

b)

x = -4

c)

x = -3

d)

x = 1

56.

Concept #46 Practice

Solve 8 = 2^5x+7

a)

x = ⅘

b)

x = ¼

c)

x = -⅘

d)

x = -¼

57.

Concept #47 Practice

How many solutions are there?

y = 3x + 5

y = - 3x - 2

a)

No Solutions

b)

One Solution

c)

Infinite Solutions

58.

Concept #47 Practice

How many solutions are there?

y = -2x + 5

2x + y = 7

a)

No Solutions

b)

One Solution

c)

Infinite Solutions

59.

Concept #47 Practice

How many solutions are there?

3x + 2y = 6

9x + 6y = 18

a)

No Solutions

b)

One Solution

c)

Infinite Solutions

60.

Concept #48 Practice

What is the solution to this system?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

61.

Concept #48 Practice

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

62.

Concept #49 Practice

Solve the system of equations using the substitution method.

a)

(10, 3)

b)

(6, 3)

c)

(15, 3)

d)

No solution

e)

Infinite Solution

63.

Concept #49 Practice

Solve the system of equations using the substitution method.

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

64.

Concept #50 Practice

Solve the system of equations using the elimination/combination method.

x - y=11

2x+y=19

a)

(10,-1)

b)

(-1,10)

c)

(3,-4)

d)

(6,7)

65.

Concept #50 Practice

Solve the system of equations using the elimination/combination method.

-12x-4y= -8

-6x-2y= -4

a)

no solution

b)

(0,0)

c)

infinite solutions

d)

(4,0)

66.

Concept #50 Practice

Solve the system of equations using the elimination/combination method.

4x+8y=20

-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

67.

Concept #51 Practice

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25

5c + 10d = 16.50

b)

10c + 5d = 16.50

5c + 10d = 14.25

c)

c + d = 10

5c + 10d = 16.50

d)

c + d = 5

5c + 10d = 16.50

68.

Concept #51 Practice

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

a)

t + n = 54

t = 3n + 8

b)

t + n = 54

n = 3t + 8

c)

t + n = 54

t = 3n - 8

d)

t + n = 8

t = 3n + 54

69.

Concept #51 Practice

Sarah enjoys cutting lawns and charges $20 for each small lawn and $30 for each large lawn she mows. Sarah earned $140 for mowing 6 lawns. Write a system of equations that could be used to find x, small lawns and y, large lawns Sarah mowed.

a)

$30x+20y=140$ $x+y=6$

b)

$50\left(x+y\right)=140$ $x+y=6$

c)

$20x+30y=140$ $x+y=6$

d)

$x+y=140$ $x+y=6$

Secondary I Term 2 Final Review

Total questions: 69

Worksheet time: 4hrs 32mins

Similar Resources on Wayground