Free Printable The night before the Final-Algebra 1 H

1.

Find the area of the parallelogram above

a)

14.5 ft²

b)

48.5 ft²

c)

52 ft²

d)

7.3 ft²

2.

What is the area?

a)

12 cm²

b)

cowboy

c)

14 cm²

d)

24 cm²

3.

Find the Area of this trapezoid:

a)

84 m²

b)

168 m²

c)

112 m²

d)

56 m²

4.

What is the area of this circle?

a)

163.2

b)

15.3

c)

124.2

d)

113.1

5.

Which of the following graphs is the graph of $f\left(x\right)=$

2x-3,\ \ \ x\le3

-3x+10,\ \ \ x>3

a)

b)

6.

Which of the following graphs is the graph of $f\left(x\right)=$

x+3,\ \ \ x<-1

\frac{1}{4}x^2+3,\ \ \ x\ge-1

a)

b)

7.

Which value is the slope in the equation:

y= 4x + 2

a)

4

b)

2

c)

x

8.

Which value is the y-intercept in the equation:

y= 2x -2

a)

2

b)

-2

c)

1

9.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

10.

Which of these represents slope-intercept form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

11.

Which of these represents standard form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

12.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

13.

For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

14.

Is y a function of x?

a)

function

b)

not a function

15.

Is y a function of x?

a)

function

b)

not a function

16.

Is y a function of x?

a)

function

b)

not a function

17.

Is y a function of x?

a)

function

b)

not a function

18.

Which of the following represent a line with a zero slope?

a)

x = 5

b)

y = 5

c)

x = 0

d)

all of the above

19.

which of the following is a line for a vertical equation?

a)

y = x

b)

x = 5

c)

x = y + 0

d)

y = 5

20.

what statement below is not true?

a)

horizontal lines have zero slope

b)

vertical lines have undefined slope

c)

y = 7 has a zero slope

d)

x = 0 has a zero slope

21.

which of the following do not have a zero slope?

a)

y = -3

b)

x = 0

c)

y = 4

d)

y = -11

22.

which of the following passes through the origin?

a)

y = 5

b)

y = 5x

c)

y = -5

d)

x = 5

23.

all of the following have an undefined slope except for....

a)

y = 3

b)

x = 0

c)

x = -9

d)

x = 2

24.

Find the y-intercept of f(x) = 2x²- 2x + 1

a)

2

b)

-2

c)

1

d)

-1

25.

Which answer choice describes y = -3x² +7x - 2 accurately?

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum

26.

Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3

a)

Minimum value, because the a value is positive

b)

Maximum value, because the b value is positive

c)

Maximum value, because the a value is positive

d)

Minimum value, because the c value is negative

27.

Factor completely
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

28.

Identify the 'a' value: y = 16x² -8x -24

a)

16

b)

8

c)

-8

d)

-24

29.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

30.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

31.

A parabola is upside-down when a is:

a)

negative

b)

positive

c)

0

d)

infinite

32.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

33.

Find the zeros of this quadratic.

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

34.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

35.

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

a)

Set the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add a² and 10a together

d)

Subtract the 21

36.

What is the equation for the axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

37.

What is the formula to find the vertex of a parabola?

a)

x = -b/2

b)

x = -b

c)

x = -b / (2a)

d)

x = -b / 2

38.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

39.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

40.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

41.

What are the coordinates of the center and the radius of the circle with equation (x - 4)² + (y - 3)² = 25 ?

a)

Center (4, 3)

Radius = 5 units

b)

Center (4, 3)

Radius = 25 units

c)

Center (-4, -3)

Radius = 25 units

d)

Center (-4, -3)

Radius = 5 units

42.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

43.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

44.

y = |x| - 7 makes the graph slide . . .

a)

left 7

b)

right 7

c)

up 7

d)

down 7

45.

Which function defines the graph?

a)

f(x) = |x - 4| + 3

b)

f(x) = |x - 3| + 4

c)

f(x) = |-x + 4| + 3

d)

f(x) = |x + 4| + 3

46.

When graphing do you use an open or closed circle for < ?

a)

Open

b)

Closed

47.

When graphing do you use an open or closed circle for > ?

a)

Open

b)

Closed

48.

Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21?

a)

yes

b)

no

49.

What are the solutions?
-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

50.

|−2n| = −75

a)

{5,6}

b)

{75/2,-75/2}

c)

{-5,5}

d)

No Solution

51.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

52.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

53.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)^2}$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

54.

A(3,1) B(-2,-1) written correctly is:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

55.

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

8, 3, 0, 4, 9

c)

(0,8)

d)

(9,0)

56.

From the equation y = 3x + 18, what is the value of the x-intercept?

a)

-6

b)

6

c)

18

d)

3

57.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

58.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

59.

Given h(x) = 5 - 9x, find h(8).

a)

h(8) = -360

b)

h(8) = -67

60.

What is the domain of the graph?

a)

y≥1

b)

x ≥ 1

c)

All real numbers

d)

none of these

61.

What is the range of the graph?

a)

y≥1

b)

x≥1

c)

All real numbers

d)

none of these

62.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

63.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

64.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

65.

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

66.

"What is the maximum height the ball reaches?"

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

67.

"When does the ball hit the ground?"

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

68.

"How high off the ground was the stone when it started?"

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

69.

"When is the object at it's maximum height?"

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

70.

"How long is the object in the air?"

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

71.

"Bill throws a rock off of a cliff. How high is the cliff from where he throws the rock?"

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

72.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

73.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

74.

Which is the best method to use?

y = 6x − 11

−2x − 3y = −7

a)

Graphing

b)

Substitution because a variable is isolated.

c)

Elimination because both equations are in standard form.

75.

3x + y = –14

–2x – y = 9

Which method would be best for solving this system?

a)

Substitution

b)

Elimination/Matrices

76.

Simplify

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

77.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3),

d)

4(x+1)/(x+2),

78.

Multiply and Simplify

a)

(n-10)/8n+56

b)

(n-10)(n+7)/8n+56

c)

(n-10)/8

d)

(n+10)/8

79.

Simplify.

a)

1/(n-7)

b)

n-7

c)

(n-6)/(n-7)

d)

n-6

80.

$\frac{5}{x}$ What is the restricted domain?

a)

$x\ne5$

b)

$x\ne0$

c)

$x\ge5$

d)

$x\ge0$

81.

$\frac{2x}{x}$ Choose the domain for which the function is defined.

a)

$x\ne2$

b)

$x\ge2$

c)

$x\ge0$

d)

$x\ \ne\ 0$

82.

$\frac{3}{x+4}$ What is the restricted domain?

a)

$x\ge4$

b)

$x\ge3$

c)

$x\ne3$

d)

$x\ne-4$

83.

$\frac{5}{\sqrt{x-2}}$ Choose the domain for which the function is defined.

a)

$x\ne2$

b)

$x\ne5$

c)

$x\ge2$

d)

$x\ge5$

84.

$\frac{1}{\sqrt{x+4}}$ Choose the domain for which the function is defined?

a)

$x\ge-4$

b)

$x\le4$

c)

$x\ge4$

d)

$x\le-4$

85.

Solve using exponentiation properties:

\left(-\frac{2}{3}\right)^4

a)

16/81

b)

56

c)

81/16

d)

3

86.

Solve using nth root properties:

$\sqrt{16a^8b^{-2}}$

a)

$\frac{4a^4}{b}$

b)

$\frac{4a^4}{b^{-2}}$

c)

$\sqrt{4a^8b^{-1}}$

d)

$\sqrt{\frac{16a^2}{b^2}}$

87.

Rationalize the denominator $\frac{\left(12\right)}{y-\sqrt{x}}$

a)

$\frac{12\left(y+\sqrt{x}\right)}{y^2-x}$

b)

$12\frac{\left(\sqrt{x}+\sqrt{xy}\right)}{x}$

c)

$\frac{12\left(x+y\right)}{x-y}$

d)

$\frac{\left(\sqrt{x}+\sqrt{y}\right)}{x}$

88.

Rationalize the denominator $\frac{3}{\sqrt{5}}$

a)

$\frac{3\sqrt{5}}{5}$

b)

$\frac{\left(3+\sqrt{7}\right)}{5}$

c)

$3\sqrt{5}$

d)

$\frac{\left(\sqrt{5}+3\right)}{5}$

89.

Write 0.00000054 in scientific notation.

a)

54 x 10⁸

b)

5.4 x 10⁷

c)

54 x 10^-8

d)

5.4 x 10^-7

90.

Write 3.5 x 10⁶in standard notation.

a)

0.0000035

b)

35,000,000

c)

3,500,000

d)

0.00000035

The night before the Final-Algebra 1 H

Total questions: 90

Worksheet time: 2hrs 30mins

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