Free Printable 100 Question Math 1 Practice

1.

Arithmetic, geometric, or neither?

100, 50, 25, 12.5, ...

a)

Arithmetic

b)

Geometric

c)

Neither

2.

Find the common difference:

25, 13, 1, -11, ...

a)

12

b)

-12

c)

8

d)

-8

3.

Find the common ratio:

2, 8, 32, 128, ...

a)

1/4

b)

4

c)

1/6

d)

6

4.

Find the next term:

100, 65, 30, -5...

a)

20

b)

-20

c)

40

d)

-40

5.

Create the formula for the geometric sequence:
-4, -16, -64, -256...

a)

a_n= -4(4)^n-1

b)

a_n= -4(-4)^n-¹

c)

a_n= 4(4)^n-1

d)

a_n= 4(4)^n-1

6.

What is the formula for the sequence:

11, 22, 44, 88...

a)

a_n = 2(11)^n-1

b)

a_n = 11 + 2(n-1)

c)

a_n = 11(2)^n-1

7.

What are the first three terms of the sequence defined by the following equation?
a_n = 7 + (n - 1)5

a)

7, 35, 175

b)

7, 2, -3

c)

12, 17, 22

d)

7, 12, 17

8.

What is the 8th term in the sequence below?
3, 9, 27, 81, ...

a)

19,683

b)

6,561

c)

2,187

d)

729

9.

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1)

a)

a₅ = 160

b)

a₅ = 40

c)

a₅ = 10

d)

a₅ = 80

10.

What letter represents the slope of a line in the equation y = mx + b?

a)

y

b)

m

c)

x

d)

b

11.

Find the slope of the line.

a)

-3

b)

1/3

c)

3

d)

-1/3

12.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

13.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

14.

(c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

15.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

16.

Simplify the expression in exponential form:
134⁰

a)

0

b)

134

c)

1

17.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

18.

Simplify: $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$

a)

$16a^8b^9c^9$

b)

$8a^8b^9c^9$

c)

$8a^6b^5c^6$

d)

$16a^5b^5c^6$

19.

3³ ⋅ 3

a)

3⁴

b)

3³

c)

3⁰

d)

1 ⁄ 3⁴

20.

On what interval is the graph decreasing?

a)

(∞, 3)

b)

(3, -∞)

c)

(3, ∞)

d)

(-∞, 3)

21.

Determine what type of function the following table is:

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

22.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

23.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

24.

What is the range of the following graph?

a)

all real numbers

b)

all integers

c)

any real number greater than zero

d)

it can not be determined

25.

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

c)

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

26.

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.

27.

Evaluate the function for the given inputs.
For f(x) = -2x + 4,
find f(x) when x = -5

a)

f(-5) = -6

b)

f(-5) = -3

c)

f(-5) = 14

d)

f(-5) = 2

28.

Is this table a function or not a function?

a)

Function

b)

Not a Function

29.

Determine the domain

a)

[-8.25, 4]

b)

[-2, 3]

c)

(0, 0)

d)

[-5, 5]

30.

The function is decreasing on the interval...

a)

[-8.25, 4]

b)

[-1, 1.75]

c)

[-2, -1] and [1.75, 3]

d)

[-5, 5] and [5, 10]

31.

Solve for the variable.

9x\ -3\ =\ -14x\ +\ 20

a)

x = -2

b)

x = 1

c)

x = 4

d)

x = -8

32.

Find the value of the variable that makes the equation true.

-5x\ +\ 18\ =\ 3x\ -\ 6

a)

x = -6

b)

x = 1

c)

x = -2

d)

x = 3

33.

Solve.

9x\ -\ 15\ =\ 4\ +\ 13x\ -\ 3

a)

x = -2

b)

x = -4

c)

x = 5

d)

x = 10

34.

Solve for m.

5\left(5m\ +\ 3\right)\ =\ 17\left(2m\ +\ 3\right)

a)

m = 3

b)

m = -2

c)

m = -4

d)

m = 1

35.

Find the solution.

4x\ -\ 5\ =\ -6\left(2x\ -\ 1\right)\ +\ 21

a)

x = -3

b)

x = 6

c)

x = 5

d)

x = 2

36.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

a)

3 hours

b)

4 hours

c)

1 hour

d)

2 hours

37.

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

a)

2 hours

b)

3 hours

c)

4 hours

d)

5 hours

38.

Which equation below would give you the answer no solution?

a)

3x + 3 = 3x + 3

b)

3x + 3 = 6x + 6

c)

3x + 3 = 3x + 2

d)

3x + 3 = 0

39.

Which equation below would give you an answer of infinite solutions (all real numbers)?

a)

4x + 10 = 0

b)

4x + 10 = 4x

c)

4x + 10 = 4x + 8

d)

4x + 10 = 4x + 10

40.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

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

b)

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

c)

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

d)

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

41.

$Given\ xy\ +\ w\ =\ 9,\ solve\ for\ y.$

a)

$y=\frac{9+w}{x}$

b)

$y=\frac{9-x}{w}$

c)

$y=\frac{9-w}{x}$

d)

$y=\frac{9+x}{wy}$

42.

$Given\ d=rt,\ solve\ for\ r.\$

a)

$r=\frac{t}{d}$

b)

$t\ =\ \frac{d}{r}$

c)

$d=\frac{r}{t}$

d)

$r=\frac{d}{t}$

43.

$Given\ mx+4y=3t,\ solve\ for\ x.$

a)

$x=\ \frac{3t+4y}{m}$

b)

$x=\frac{3t-4y}{m}$

c)

$x=\frac{3m-4y}{t}$

d)

$x=\frac{3y+4t}{m}$

44.

s - 10 ≤ 1

a)

s ≤ 11

b)

s ≤ 9

c)

s ≥ 11

d)

s ≥ 9

45.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

46.

What inequality does the number line graph represent?

a)

$x\ge3$

b)

x > 3

c)

x < -3

d)

$x\le3$

47.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

48.

Solve the inequality.

$-4d\ -\ 9\ \le\ 3$

a)

$d\ \le3$

b)

$d\ \le-3$

c)

$d\ \ge\ 3$

d)

$d\ \ge\ -3$

49.

Which of the following situations shows the need to flip the inequality sign?

a)

$3x<-9$

b)

$\frac{x}{-4}>8$

c)

$x-2\le-4$

d)

$x--1\ge6$

50.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

51.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

52.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

53.

What is the y-intercept of the equation:
y = 2x - 3

a)

-2

b)

2

c)

3

d)

-3

54.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

55.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

56.

Find slope:

a)

m= 4

b)

m=1/4

c)

m=-4

d)

m=-1/4

57.

Name the x- and y-intercepts for the equation:
5x - 3y = 15

a)

(3, 0) and (0, -5)

b)

(0, 3) and (-5, 0)

c)

(5, 15) and (15, 3)

d)

(0, -3) and (5, 0)

58.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

59.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

60.

Solve for x and y
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

61.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

62.

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

63.

Solve the following system:
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

64.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

1.5x+0.5y=78.5
x+y=87

b)

1.5x+0.5y=78.5
1.5x+0.5y=87

c)

x+y=78.5
1.5x+0.5y=87

d)

x+y=78.5
x+y=87

65.

One brand of suntan lotion comes in a small size with x ounces of lotion and a regular size with y ounces of lotion. Two small bottles plus one regular bottle contain 15 ounces of lotion, while one small bottle and two regular bottles contain 19.5 ounces of lotion. How much lotion is contained in the small bottle?

a)

5 ounces

b)

3.5 ounces

c)

8 ounces

d)

6.5

66.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

67.

Find the factors of

3b² + 17b + 20

a)

(2b - 5)(b - 7)

b)

(5b - 7)(b - 2)

c)

(b + 5)(3b + 4)

d)

(3b + 5)(b + 4)

68.

Factor:
v² + 3v - 88

a)

(v + 11)(v - 8)

b)

(v + 22)(v - 4)

c)

(v + 8)(v - 11)

d)

(v - 22)(v + 4)

69.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

70.

Solve by factoring: x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

71.

Solve by factoring: 2x² - 5x - 12 = 0

a)

x = -4 and x = -6

b)

x = 4 and x = -3/2

c)

x = 4 and x = 6

d)

x = -4 and x = 3/2

72.

Solve.
n² - 2n = 0

a)

n = 2 and 0

b)

n = -2 and 0

c)

n = 2

d)

n = 0

73.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

74.

How many real number solutions does 3k² + k - 1 = 0 have?

a)

2

b)

1

c)

0

75.

Solve using the Quadratic Formula:

x² + 4x = -3

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

76.

Solve using the Quadratic Formula.

a)

A

b)

B

c)

C

d)

D

77.

What is the axis of symmetry of this parabola?

a)

-4

b)

x = -4

c)

x = -2

d)

y = -4

78.

Does this graph in the back have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

79.

What is the y intercept for the equation:
y = -8x² + 3x - 7

a)

(0, -8)

b)

(0, 3)

c)

(0, 7)

d)

(0, -7)

80.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

81.

Solve the equation
(x + 3)² = 49.

a)

x = -7, 7

b)

x = 4, -10

c)

x = -4 +- √7

d)

x = 10, -4

82.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

83.

Which of the following formulas is the distance formula?

a)

$\left(\frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2}\right)$

b)

$\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

c)

$a^2+b^2=c^2$

d)

$\frac{y_2-y_1}{x_2-x_1}$

84.

Find the distance between each pair of points.

(-6,-10) and (-2,-10)

a)

$d=6$

b)

$d=4$

c)

$d=15$

d)

$d=12$

85.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, -23)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

86.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

87.

Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)

a)

(-5.5, -7.5)

b)

(-1.5, -0.5)

c)

(-3, -1)

d)

(0.5, 1.5)

88.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

$y=-\frac{1}{2}x+\frac{5}{2}$

89.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

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

b)

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

c)

$y=-2x+7$

d)

$y=-2x+8$

90.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

$y=\frac{1}{3}x-9$

b)

$y=\frac{1}{3}x+10$

c)

$y=-3x+6$

d)

$y=-3x-8$

91.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

92.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

93.

What is the interquartile range?

a)

39

b)

55

c)

16

d)

18

94.

What percent of students have a height between 58 inches and 60 inches?

a)

25%

b)

50%

c)

75%

d)

100%

95.

What is the shape of the distribution?

a)

Skewed Left

b)

Skewed Right

c)

Symmetric

d)

Bimodal

96.

Data is analyzed comparing hours studied and grades. It is determined that the correlation coefficient is 0.92. What does this mean?

a)

There is a strong positive correlation between studying and grades.

b)

There is a strong negative correlation between studying and grades.

c)

There is a weak positive correlation between studying and grades.

d)

There is a weak negative correlation between studying and grades.

97.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

98.

What does the slope mean in this context?

a)

People type at a speed of -1.4 words per minute

b)

For every year passed, your typing speed decreases by 1.4 word per minute

c)

The fastest person types at 117.8 words per minute

d)

For every word typed, -1.4 minutes go by

99.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

100.

The table below shows the 2014 postage rates for mailing first-class envelopes. Using the line of best fit, which value represents the postage rate of a 14 ounce envelope?

a)

$3.50

b)

$3.71

c)

$2.73

d)

$2.94

100 Question Math 1 Practice

Total questions: 100

Worksheet time: 5hrs 7mins

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