Free Printable Algebra 1 - Spiral Review (9/19/22)

1.

Combine the like terms.

3x - 4y - 9x + 7y = ?

a)

-6x + 3y

b)

-3

c)

x - 2y

d)

y - 2x

2.

How do you write this algebraic expression?

Six times a number plus seven.

a)

6 ÷ n + 7

b)

6 + 7 · n

c)

6 - n ÷ 7

d)

6 · n + 7

3.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

4.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

5.

Solve for x.

a)

x = 21

b)

x = 7

c)

x = −21

d)

x = 4

6.

What is the first step to solve this equation:
-11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

7.

Solve for x.

a)

x = −11

b)

x = 3

c)

x = 11

d)

x = −5

8.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

9.

Solve for r

a)

3

b)

-3

c)

3.3

d)

10

10.

What is the best first step to solve for n in the following equation?
3n - 7 = 30

a)

Divide 3n by 3

b)

Add 7 to both sides

c)

Subtract 30 from both sides

d)

Subtract 7 from both sides

11.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

12.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

13.

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

14.

What is the y-intercept in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

15.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

16.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

17.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

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

d)

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

18.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

19.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

20.

Graph the line with the equation
$y\ =\ -\frac{1}{3}x\ -\ 4$

a)

b)

c)

d)

21.

What is the y intercept?
y = 2x - 3

a)

3

b)

-3

c)

1

d)

2

22.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

23.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

24.

What is the domain of this graph?

a)

[-1,1]

b)

[-2,2]

c)

(-1,-2)

d)

(-∞,+∞)

25.

What is the range of this function?

a)

[-2,3]

b)

(-2,3]

c)

[-5,4]

d)

(-5,4]

26.

What is the domain of this function?

a)

[-2,3]

b)

(-2,3]

c)

[-5,4]

d)

(-5,4]

27.

Is this a function? Why or why not?

a)

Yes, because none of the domain numbers repeated.

b)

Yes, because none of the range letters repeated.

c)

No, because 3 goes to A and 4 goes to A.

d)

No, because A gets used twice.

28.

Is this a function? Why or why not?

a)

No, the domain numbers are repeated.

b)

No, it passes the Vertical Line Test.

c)

Yes, it passes the Vertical Line Test.

d)

Yes, the range numbers are not repeated.

29.

a)

y = 3x + 2

b)

y = 2x - 3

c)

y = 1/2x - 3

d)

y = -2x + 3

30.

a)

x = 2

b)

y = 2

c)

y = 2x

d)

x = -2

31.

a)

x = -3

b)

y = 3

c)

y = -3

d)

x = 3

32.

What is the slope between these points?
(5, 7) and (3, 10)

a)

-3/2

b)

2/3

c)

-2/3

d)

3/2

33.

What is the slope between these points?
(-3, -1) and (1, -9)

a)

8/3

b)

1/2

c)

-2

d)

-4/9

34.

Find the equation of the line that has a slope of 3 and passes through (-4, 1).

a)

y = 3x - 11

b)

y = 3x + 13

c)

y = -4x - 13

d)

y = x + 11

35.

Find the equation of the line with a slope of 3/4 and passes through (4, -2).

a)

y = 4x - 2

b)

y = 3/4x - 2

c)

y = 3/4x + 1

d)

y = 3/4x - 5

36.

What is the slope intercept form for the equation 3x - 5y = 30?

a)

y = 3/5x + 30

b)

y = -3/5x + 10

c)

y = 5/3x - 6

d)

y = 3/5x - 6

37.

What is the slope intercept form for the equation x + 4y = -12?

a)

y = -x - 12

b)

y = 4x - 3

c)

y = -1/4x - 3

d)

y = 4x + 12

38.

3(4+3r)

a)

12+9r

b)

7+6r

c)

12+5r

39.

f(x)=4x+5
f(4)=

a)

21

b)

-11

c)

-31

d)

25

40.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

41.

f(x)=2x+2

for x = 4

a)

6

b)

-8

c)

10

d)

0

42.

g(x) = 5 - 6x
Find g(-5)

a)

g(-5) = -25

b)

g(-5) = 6

c)

g(-5) = 4

d)

g(-5) = 35

43.

f(x) = 3x² - 11
Find f(-5)

a)

f(-5) = 64

b)

f(-5) = -86

c)

f(-5) = 214

d)

f(-5) = -7

44.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

45.

IR = V
(solve for R)

a)

R = IV

b)

R = ^I/_V

c)

R = ^V/_I

d)

R = V - I

46.

Solve:
y = mx + b , for b

a)

y - mx = b

b)

y + mx = b

c)

^y/_mx = b

d)

y + mx = -b

47.

Solve for w:
A = LW

a)

A =^L/_W

b)

w = ^L/_A

c)

w = A

d)

w = ^A/_L

48.

Solve for x.
z = xy

a)

x = z/y

b)

x = y/z

c)

x = yz

d)

y = xz

49.

Solve for t.
D= rt

a)

D/r = t

b)

Dr = t

c)

D/t = r

d)

Dt = r

50.

a)

a

b)

b

c)

c

d)

d

51.

a)

a

b)

b

c)

c

d)

d

52.

a)

a

b)

b

c)

c

d)

d

53.

What operation do I use to get "x" by itself?
x + 4 = 7

a)

addition

b)

subtraction

c)

multiplication

d)

division

54.

What operation would you use to get "x" by itself?
2x = 10

a)

addition

b)

subtraction

c)

multiplication

d)

division

55.

Whatever I do to one side of the equation, I ....

a)

yell and scream

b)

do to the other side of the street

c)

do to the other side of the equation

d)

jump up and down

56.

3+4x+5x=21

a)

x=4

b)

x=-18

c)

x=2

d)

x=10

57.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

58.

Does the graph represent a function?

a)

Yes, because the vertical line test shows there are no repeating input values

b)

No, because the vertical line test shows there are repeating input values

59.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

60.

a)

Function

b)

Not a Function

61.

Evaluate for f(1)

a)

0

b)

-3

c)

3

d)

2

62.

For what value of x does f(x) = -2?

a)

0

b)

-5

c)

3

d)

-3

63.

Evaluate f(2).

a)

f(2) = 5

b)

f(2) = 12

c)

f(2) = 10

d)

f(2) = 0.5

64.

297=7(8x-6)+3

a)

13

b)

12

c)

6

d)

10

65.

-87 = -3 (3r + 8)

a)

8

b)

7

c)

20

d)

5

66.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

67.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

68.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

69.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

70.

What is the first step in solving this equation?

a)

subtract 3 to both sides

b)

subtract the 6 - 2

c)

distribute 2

d)

distribute -2

71.

Which kind of sequence has a common ratio?

a)

Arithmetic

b)

Geometric

72.

Which kind of sequence has a common difference?

a)

Arithmetic

b)

Geometric

73.

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

a)

Arithmetic

b)

Geometric

c)

Neither

74.

Is this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }

a)

Arithmetic

b)

Geometric

c)

Neither

75.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

76.

What is the common ratio: 5, 25, 125, 625...

a)

25

b)

20

c)

5

d)

4

77.

This is an arithmetic sequence. 5, 2, –1, –4, . . .

What is a_{7 (7th term)}?

a)

-13

b)

-11

c)

-18

d)

-22

78.

Create the explicit formula for the arithmetic sequence: 2, 8, 14, ... (Hint: Write your formula and then simplify it.)

a)

a_n=2+6n

b)

a_n=-6+6n

c)

a_n=6n-4

d)

a_n=4-6n

79.

You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?

a)

$50

b)

$35

c)

$320

d)

$250

80.

What is a_{5 (5th term)} in the sequence defined as follows? a_n = 5 ⋅ 2^(n-1)

a)

a₅ = 160

b)

a₅ = 40

c)

a₅ = 10

d)

a₅ = 80

81.

What is the explicit rule for the geometric sequence: 11, 22, 44, 88...

a)

u_n = 2(11)^n-1

b)

u_n = 11(2)

c)

u_n = 11(2)^n-1

82.

Write the explicit formula for the sequence.

216, 72, 24, 8, ...

a)

$a_n=216\cdot\left(\frac{1}{3}\right)^{\left(n-1\right)}$

b)

$a_n=8\cdot3^{\left(n-1\right)}$

c)

$a_n=216-144\left(n-1\right)$

d)

$a_n=216\cdot3^{\left(n-1\right)}$

83.

What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6?

a)

63

b)

39

c)

69

d)

36

84.

Now that we have found both the common difference and the first term of our sequence (6, 9, 12, 15, ...), we can write an EXPLICIT FORMULA for the arithmetic sequence.

Formula: $a_n=a_1+d\left(n-1\right)$

Hint: $a_1=$ first term & $d=$ common difference

a)

$a_n=3+9\left(n-1\right)$

b)

$a_n=9+3\left(n-1\right)$

c)

$a_n=3+6\left(n-1\right)$

d)

$a_n=6+3\left(n-1\right)$

85.

Using the formula $a_n=a_1+d\left(n-1\right)$ , where $a_1$ represents the first term and $d$ represents the common difference, write a formula for the sequence 18, 16, 14, 12, 10, 8, ...

a)

$a_n=18+2\left(n-1\right)$

b)

$a_n=18-2\left(n-1\right)$

c)

$a_n=2+18\left(n-1\right)$

d)

$a_n=-2+18\left(n-1\right)$

86.

Arithmetic sequences form a linear equation.

Geometric sequences form an exponential equation.

Given the geometric sequence 2, 6, 18, ..., write an explicit formula.

a)

$a_n=6\left(2\right)^{n-1}$

b)

$a_n=2\left(6\right)^{n-1}$

c)

$a_n=3\left(2\right)^{n-1}$

d)

$a_n=2\left(3\right)^{n-1}$

87.

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

a)

20, 100, 500, 2500

b)

5, 20, 80, 320

c)

4, 20, 100, 500

d)

4, 9, 14, 19

88.

a)

strings

b)

percussion

c)

woodwind

d)

brass

89.

What instrument is this?

a)

A clarinet

b)

A trumpet

c)

A saxophone

d)

A trombone

90.

The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?

a)

y = 30,010 (.05)^x

b)

y = 30,010 (1.05)^x

c)

y = 30,010 (.95)^x

d)

y = 30,010 (5)^x

91.

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

a)

y=1400(1.09)^x

b)

y=1.09(1400)^x

c)

y=1400(.91)^x

d)

y=1.09^x

92.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

a)

y=8(15,000)^x

b)

y=15,000(1 + .08)^x

c)

y=15,000(1 - .08)^x

d)

y=15,000(0.08)^x

93.

a)

Exponential Growth

b)

Exponential Decay

94.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

95.

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

a)

87%

b)

13%

c)

800%

d)

8.7%

96.

Are you behaving while Ms. Tsui is away?

a)

Absolutely, I'm doing my work.

b)

Absolutely not.

c)

I will regret my bad decisions.

97.

Where does SpongeBob work?

a)

McDonalds

b)

The Chum Bucket

c)

Pizza Hut

d)

Krusty Krab

98.

What instrument does Squidward play?

a)

Flute

b)

trumpet

c)

drums

d)

clarinet

99.

What U.S. state does Sandy come from?

a)

Nashville

b)

Tennesse

c)

Ohio

d)

Texas

100.

What is the movie?

a)

Men in Black

b)

Toy Story

c)

Home Alone

d)

Shrek 2

Algebra 1 - Spiral Review (9/19/22)

Total questions: 100

Worksheet time: 6hrs 59mins

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