Free Printable Algebra 2 Mid Term Assessment

1.

Solve for a:

-3a + 8 = 14

a)

a = -2

b)

a = -7.5

c)

a = 2

d)

a = 6

2.

Solve for b:
3(b - 4) = -3

a)

b = 3

b)

b = -3

c)

b = 5

d)

b = -5

3.

Solve for a:

-8(-4+a) + 3(2a+1) = -19

a)

a = 27

b)

a = -27

c)

a = 3.86

d)

a = 1.67

4.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

5.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

6.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

7.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

8.

^{What is the x- intercept of the line?}

a)

x = 1

b)

x = 2

c)

x = -1

d)

x = -2

9.

Which graph represents the equation $y=4x-1$

a)

b)

c)

d)

10.

A parking garage charges $4.50 for each hour you park. You have $18 in your pocket. How many hours can you park?

a)

x > 4

b)

x < 4

c)

x ≤ 4

d)

x ≥ 4

11.

7x + 6 +2x = 60

a)

x = 6

b)

x = 8

c)

x = 9.5

d)

x = 13

12.

|6 - 2k| = 18

a)

k = -6

b)

k = -6, k = 12

c)

k = -6, k = -12

d)

k = -6, k = 5

13.

8 + 3|4x - 6| = 38

a)

x = 4

b)

x = -1, x = 4

c)

x = -1, x = 0

d)

x = -4, x = 0

14.

$-4x-7\ge21$

a)

x ≥ 7

b)

x ≥ -7

c)

x ≤ 8

d)

x ≤ -7

15.

\frac{x}{5}+7=9

a)

$x=5$

b)

$x=7$

c)

$x=9$

d)

$x=10$

16.

8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

17.

$g\ =\ 6x\ \ \ solve\ for\ x$

a)

$x\ =\ \frac{g}{6\ }$

b)

$x\ =\ \frac{6}{g}$

c)

$x\ =\ g+6$

d)

$x\ =\ g-6$

18.

$-3x\ +2c\ =\ 3\ \ solve\ for\ x$

a)

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

b)

$x\ =\ 6+2c$

c)

$x\ =\ 6-2c$

d)

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

19.

Solve for t.
D= rt

a)

D/r = t

b)

Dr = t

c)

D/t = r

d)

Dt = r

20.

Solve:
y = mx + b , for b

a)

y - mx = b

b)

y + mx = b

c)

y/mx = b

d)

y + mx = -b

21.

List the ordered pairs

a)

Input and Output

b)

(0,12), (2,10), (4,8), (6,6)

c)

(12,0), (10,2), (8,4), (6,6)

d)

(6,6)

22.

List the ordered pairs

a)

Input and Output

b)

(-1, 1), (-2, 1), (-3,2), (-4,2)

c)

(1,1) (2,4)

d)

(1,-1), (1,-2), (2,-3), (2,-4)

23.

A relation pairs each input with exactly one output is a

a)

congruence

b)

similarity

c)

function

d)

mathematical equation

24.

Is the relation a function?

a)

Yes, each input has one output

b)

No, each input has more than one output

c)

No, the cost of the movies is different

d)

Yes, each output has one input

25.

What is the Domain?

a)

{-3, -1, 1, 3, 5, 7, 9}

b)

{-3, -2, -1, 0, 1, 2, 3}

c)

-3 ≤ x ≤ 3

d)

-3 ≤ x ≤ 9

26.

What is the domain?

a)

{-4, -1, 0, 2, 7}

b)

{-5, -4, -1, 0, 1, 2, 4, 7}

c)

{-5, 0, 1, 2, 4}

d)

{5}

27.

What is the Domain?

a)

-3 ≤ x < 5

b)

-3 ≤ y < 5

c)

-8 ≤ x < 5

d)

-8 ≤ y < 5

28.

What is the Domain?

a)

-10 ≤ y ≤ 6

b)

y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All Real Numbers

29.

What is the Range?

a)

y ≥ 6

b)

y ≤ 6

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

30.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

31.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

32.

Where is T?

a)

(-3, -2)

b)

(-2,-3)

c)

(3,2)

d)

(-3,2)

33.

At which coordinates do you find the origin?

a)

(1,0)

b)

(0,0)

c)

(0,1)

d)

(-0,-0)

34.

How is the horizontal axis labeled?

a)

horizontal axis

b)

y axis

c)

x axis

d)

z axis

35.

How is the vertical axis labeled?

a)

horizontal azis

b)

y axis

c)

x axis

d)

z axis

36.

What is the Domain of this linear function?

a)

-6 ≤ x ≤ 6

b)

0 ≤ x ≤ 7

c)

2 ≤ x ≤ 7

d)

No Solution

37.

Is this a function?

a)

Yes

b)

No

38.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

39.

What is the range?

a)

the set of all x-values

b)

the set of all y-values

40.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

41.

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

42.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

43.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

44.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

45.

Solve the following system by graphing. What is the solution?

a)

Infinite number of solutions

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

46.

Solve the system by graphing:
y = 6x - 4
y = -x + 3

a)

(1, 2)

b)

(2, 1)

c)

(4, 5)

d)

(2, 4)

47.

Graph both equations. What point do they intersect at?
y = 2x
y = 3x + 1

a)

(-1, -2)

b)

(2, 1)

c)

(2, 4)

d)

(-2, -3)

48.

Parallel Lines never intersect because...

a)

They have the same slopes and different y-intercepts.

b)

They have the same slopes and same y-intercepts.

c)

They have different slopes and different y-intercepts.

d)

They have the same slopes and the same y-intercepts.

49.

What is the solution?

a)

No solution

b)

$\left(0,\ 2\right)$

c)

$\left(0,\ -4\right)$

d)

$\left(3,\ -3\right)$

50.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel Lines

b)

Same Line

c)

Intersecting Lines

51.

Solve the following systems of equations using substitution:

y = 8

y = -4x + 4

a)

(8, -1)

b)

(-28, 8)

c)

(-1, 8)

d)

(8, -28)

52.

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)

53.

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

a)

No solution

b)

(1, 2)

c)

(3, 0)

d)

(2, 1)

54.

Solve:
y=8x+1
y=6x+3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(2, 4)

55.

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.

56.

Solve using elimination.
4x + 8y = 20
-4x + 2y = -30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

57.

Solve using elimination.
7x + 2y = 24
8x + 2y = 30

a)

(6,-9)

b)

(-9,6)

c)

No solution

d)

Infinite number of solutions

58.

Solve by elimination:
3x + 7y = 23
-3x - 7y = -17

a)

No solution

b)

Infinite number of solutions

c)

(-3,3)

d)

(3,3)

59.

Solve for x and solve for y
3x - 3y = 33
6x - 3y = 57

a)

(8,-3)

b)

(-3,8)

c)

(10,1)

d)

(10,-1)

60.

Solve by elimination:

4x - 6y = -6

-2x - 12y = -12

a)

(0,1)

b)

(1,0)

c)

(1,1)

d)

(2,1)

61.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

62.

Solve the equation by factoring.

a)

x = {1}

b)

x = {-1}

c)

x = { }

d)

no solution

63.

Solve the equation by factoring.

a)

x = {-5,-3}

b)

x = {5,-3}

c)

x = {-5,3}

d)

x = {5,3}

64.

How many solutions can a quadratic have?

a)

3 or more solutions

b)

No Solutions

c)

Infinite Solutions

d)

0 - 2 solutions

65.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

66.

Solve the following quadratic equation: $5x^2=10x$

a)

$x=-2$

b)

$x=2$

c)

$x=2$ & $x=0$

d)

$x=-2$ & $x=0$

67.

Solve for the values of x:
(x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

68.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

69.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

70.

Solve by factoring: x² = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

71.

$w^2+7w+4=0$

a)

$\frac{-7\pm\sqrt{33}}{2}$

b)

$\frac{-7\pm\sqrt{65}}{2}$

c)

$\frac{7\pm\sqrt{33}}{2}$

d)

$\frac{-7\pm3\sqrt{11}}{2}$

72.

$t^2+4t=2$

a)

$\frac{-4\pm\sqrt{24}}{2}$

b)

$4\pm2\sqrt{6}$

c)

$-2\pm\sqrt{6}$

d)

$\frac{4\pm3\sqrt{8}}{2}$

73.

$2x^2+2x+5=0$

a)

$\frac{-1\pm3i}{2}$

b)

$\frac{-1\pm i\sqrt{11}}{2}$

c)

$\frac{2\pm\sqrt{40}}{4}$

d)

$\frac{-1\pm i\sqrt{6}}{2}$

74.

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

75.

What should you do first in solving this equation?

x² + 6x - 13 = 3

a)

Factor

b)

Write down: a = 1, b = 6, c = -13

c)

Subtract 3 from both sides.

d)

Add 3 to both sides.

76.

Simplify √-4

a)

2i

b)

-2i

c)

2

d)

4i

77.

Simplify √-1

a)

1

b)

-i

c)

-1

d)

i

78.

a)

7

b)

-7

c)

7i

d)

-7i

79.

a)

6i√5

b)

-8√5

c)

8i√5

d)

-8i√5

80.

a)

4i√3

b)

-4i√3

c)

4√3

d)

-4√3

81.

What is the name of a polynomial with only one term?

a)

monomial

b)

binomial

c)

trinomial

d)

linear

82.

What is the name of a polynomial with two terms?

a)

monomial

b)

binomial

c)

trinomial

d)

quadratic

83.

What is the name of a polynomial with three terms?

a)

monomial

b)

binomial

c)

trinomial

d)

cubic

84.

What is the name of a polynomial with four or more terms?

a)

monomial

b)

binomial

c)

cuatromial

d)

polynomial

85.

What is the name of the degree of a monomial that does not have a variable? ( For example: 11 )

a)

constant

b)

linear

c)

quadratic

d)

cubic

86.

Order the terms of this polynomial so that is in Standard Form:

F(x) = 4+3x⁴-7x²-2x⁷-x?

a)

3x⁴

b)

-7x²

c)

-2x⁷

d)

-x

e)

4

1)

2)

3)

4)

5)

87.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

88.

What is the name of the polynomial?
7x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

89.

What is the degree of the polynomial:
x² + 2x³ - x

a)

2

b)

3

c)

1

d)

6

90.

What is the Degree of the following polynomial: $10x-3-6x^4+2x^2$

a)

1

b)

4

c)

2

d)

6

91.

Subtract:

(2a² + 5a + 3) - (a² - 3a - 4)

a)

3a² + 2a - 1

b)

a²+ 8a + 7

c)

3a²+ 8a + 7

d)

a² + 2a - 1

92.

Combine like terms to simplify:
(5x + 2) + (4x + 5)

a)

9x -7

b)

-9x-11

c)

9x+7

d)

x+7

93.

-7xy + x + y + x - 3xy

a)

10xy +2x + y

b)

-10xy + 2x + y

c)

-10xy + y

d)

-10xy + x + y

94.

Simplify the expression.
-4(9 + 3x) - 4(x - 2)

a)

-16x-28

b)

-16x-44

c)

20x - 12

d)

30x - 9

95.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

96.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

97.

(2x - 1)(x + 2)

a)

2x² + 3x - 2

b)

2x² - 5x - 2

c)

2x² + 3x + 2

d)

2x² - 5x + 2

98.

(5c-2)(3c²-5c+4)

a)

15c³-31c⁴+30c²-8

b)

15c³-19c²+10c-8

c)

15c³-31c²+30c-8

d)

15c³-31c²+30c+8

99.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

100.

$\left(3x^2y^3\right)\left(4x^3y\right)$ Multiply:

a)

$12x^5y^4$

b)

$12x^6y^3$

c)

$7x^5y^4$

d)

$7x^6y^3$

Algebra 2 Mid Term Assessment

Total questions: 100

Worksheet time: 3hrs 20mins

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