Free Printable Classify, Equations, Inequalities Test

1.

What do you call a polynomial with a degree of 2? (pg. 3)

a)

Quadratic

b)

Constant

c)

Cubic

d)

Quartic

2.

What do you call a polynomial with a degree of 3? (pg. 3)

a)

Quadratic

b)

Constant

c)

Cubic

d)

Quartic

3.

State the degree (highest exponent) of the polynomial: (Pg. 1)

f(x) = 19x² + 24 + 2x⁴

a)

1

b)

2

c)

3

d)

4

4.

State the leading coefficient of the polynomial: (pg. 1)

(Write in standard form first)

f(x) = 9x⁴ - 4x - 6 + 2x³ + 6 x⁵ + 3x²

a)

9

b)

-4

c)

6

d)

3

5.

Which one of these polynomials is in standard form? (pgs. 1 and 2)

a)

x⁴ + 25x²- 10x³

b)

x⁴ - 10x³ + 25x²

c)

- 10x³ + 25x²+ x⁴

d)

25x²+ x⁴ - 10x³

6.

The number before a variable is the _____. (pg. 1)

a)

term

b)

constant

c)

coefficient

d)

variable

7.

A letter in a term is called a _____. (pg. 1)

a)

variable

b)

coefficient

c)

constant

d)

term

8.

A number without a variable is called a _____. (pg. 1)

a)

coefficient

b)

constant

c)

variable

d)

term

9.

In the following expression, how many terms are there? (pgs. 3 and 4)

5x³ - 7x + 11

a)

1

b)

2

c)

3

d)

4

10.

In the following expression, the number -7 is an example of a ____________? (pg. 1)

5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

11.

In the following expression, which numbers are coefficients? (pg. 1)

18x⁷ + 4x³ - 11x² + 9

a)

18, 4, -11, 9

b)

18, 4, -11

c)

7, 3, 2

d)

18, 4, 11,

12.

How many terms are in the following expression? (Pgs 3 and 4)

2x³ - 7 + 11x⁸ - 4x⁵

a)

1

b)

2

c)

3

d)

4

13.

Classify the polynomial by degree (first name) and number of terms (last name). Pgs. 3 and 4

$3x^2-7$

a)

Linear Binomial

b)

Quadratic Binomial

c)

Cubic Binomial

d)

Quartic Binomial

14.

Classify the polynomial by degree (first name) and number of terms (last name). (pgs. 3 and 4)

Remember to combine like terms first!

$9x^3-2x+5+7x$

a)

Linear Polynomial

b)

Cubic Polynomial

c)

Cubic Trinomial

d)

Linear Trinomial

15.

Choose the expression that is NOT a polynomial. (pg. 2)

a)

$\frac{2}{x}-5x^4-7$

b)

$-8-2x^3+5x$

c)

$9x^5+x^4-6x^2$

d)

$x^3$

16.

Describe the types of Polynomials for each polynomial

a)

(6x + 9)

1.

binomials

b)

$x^2+5x-2$

2.

trinomials

c)

2x

3.

monomials

d)

$4x^2\ +6x^4-3x+5-2x^7$

4.

polynomial

17.

What is the term classification of the following polynomial?
x³-7x²+3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

18.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

19.

What is the constant of this polynomial?

2x³- 8x²+ 3x - 7

a)

2

b)

-8

c)

3

d)

-7

20.

How many terms does the polynomial have?

$2ab^2-4c+6d^3-12ef\ +\ 101$

21.

Rewrite $2x^2+9-5x^3+3x^4-8x$ in standard form.

a)

$+3x^4$

b)

$-5x^3$

c)

$+2x^2$

d)

$-8x$

e)

$9$

1)

2)

3)

4)

5)

22.

What is the lead coefficient of the polynomial?

$-4a^3+19a^4-a+12a^6+103$

23.

Combine Like Terms

TRUE or FALSE

These are LIKE TERMs.

3x and 3x²

a)

True

b)

False

24.

Put the terms in Standard Order. (List the exponents from highest to lowest.)

a)

x⁸

b)

7x⁵

c)

8x⁴

d)

12x²

e)

x

1)

2)

3)

4)

5)

25.

What are the like terms in the following

( 5rt - 3rw - 8tw) + ( 6rt - 4rw + 2tw )

(Match the letters exactly).

a)

5rt & 6rt

-3rw & -4rw

-8tw & 2tw

b)

5rt & -4rw

-3rw & 2tw

-8tw & 6rt

26.

*Remember

1-Match

2-Flip

3-Combine

( 8x³ + 3x² + 4x + 10 ) - ( 3x³ - 4x² + 2x + 1 )

a)

11x³+ 7x² + 6x + 12

b)

5x³ + 7x² + 2x + 9

c)

d)

5x³ - x² - 2x + 11

27.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

28.

Classify by degree of polynomial:
3x³ – 6x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

29.

Classify by number of terms:
2x – 9

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

30.

Classify by degree of polynomial:
2x – 9

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

31.

Classify by number of terms:
3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

32.

Classify by degree of polynomial:
3x² – 8x + 1

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

33.

Classify by number of terms:
12

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

34.

Classify by degree of polynomial:
-2x² – x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

35.

Classify by number of terms:
7x³ – 8x² -4x+ 9

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

36.

Classify by degree of polynomial:
7x³ – 8x² -4x+ 9

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

37.

Classify by number of terms:
12

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

38.

Classify by number of terms:
2x – 9

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

39.

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

40.

Classify by number of terms:
7x³ – 8x² + 9

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

41.

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

42.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

43.

Classify by number of terms:
-2x² – x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

44.

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

45.

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

46.

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

47.

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

48.

a)

Degree 1

b)

Degree 2

c)

Degree 4

d)

Degree 5

49.

a)

Degree 2

b)

Degree 3

c)

Degree 4

d)

Degree 5

50.

a)

Degree 1

b)

Degree 2

c)

Degree 3

d)

Degree 4

51.

Add the polynomial (-3x + 4) + (8x - 5)

a)

5x - 9

b)

5x - 1

c)

11x - 1

d)

11x - 9

e)

None of these

52.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

e)

None of these

53.

(4x³-5x²+3x)+(-2x³-x²+6x)

a)

2x³-6x²-9x

b)

2x³+6x²+9x

c)

-2x³-6x²+9x

d)

2x³-6x²+9x

e)

None of these

54.

Add the following polynomials:

(x³-2x²+3)+(2x³+3x²-1)

a)

3x³-2x²+3x+2

b)

3x³+x²+2

c)

3x³-5x²-2

d)

3x³-x²+1

e)

None of these

55.

Add the following polynomials

(x³-6x²+3)+(3x³+4x-1)

a)

4x³-2x²+2

b)

4x³-6x²+4x+2

c)

-2x³+2x+2

d)

4x³-2x²-2

e)

None of these

56.

Which is an example of a cubic binomial?

a)

x³+5

b)

x²+3

c)

x²+5x-6

d)

5x³

57.

Classify by number of terms:

3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

e)

Constant

58.

Simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

59.

(3x²+xy-5y²) + (2x²-xy+3y²)

a)

5x²-2xy+8y²

b)

5x²-2y²

c)

5x²+2y²

d)

5x²+2xy-8y²

e)

None of these

60.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x² +6y² + 6z²

b)

4x + y + 6z

c)

-4x² - y² + 6z²

d)

-4x + y + 6z

e)

None of these

61.

Add the polynomials.

(2xy - 3x² + 4y - 5) + (-3xy + 4y² - 3y + 8)

a)

-1xy - 3x² + 4y² + 1y + 3

b)

-1xy + 1x² + 1y + 3

c)

-1xy + 1y² + 1y + 3

d)

1xy + 3x² + 4y² + 1y + 3

e)

None of these

62.

Find the sum.

(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

e)

None of these

63.

What is the correct name of the following:

3xy + 4x + 5y + 6

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

e)

Constant

64.

Name and Classify the Polynomial:
x² − 4

a)

quadratic binomial

b)

quadratic monomial

c)

linear binomial

d)

linear monomial

65.

Name and Classify the Polynomial:

2x²+ 3x − 8

a)

quadratic binomial

b)

quadratic trinomial

c)

linear binomial

d)

linear monomial

66.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

67.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

68.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

69.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

70.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

71.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

72.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

73.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

74.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

75.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

76.

Solve the equation:
x - 5.5 = 10.5

a)

x = 16

b)

x = -15

c)

x = 5

d)

x = -5

77.

how would you solve this equation: 9x=153?

a)

multiply

b)

divide

c)

add

d)

subtract

78.

x - (-1) = 11

a)

x = 10

b)

x = 12

c)

x = -10

d)

x = 11

79.

-y = 22

a)

y = 1

b)

y = -22

c)

y = 0

d)

y = -1

80.

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

a)

Add 3 to both sides

b)

Subtract 3 from both sides

c)

Multiply 3 on both sides

d)

Divide 3 on both sides.

81.

-4 + r = 10

a)

r = 14

b)

r = 6

c)

r = -6

d)

r = 40

82.

10 = -7 + b

a)

b = -17

b)

b = 3

c)

b = 17

d)

b = -3

83.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

84.

n - 6 = -15

a)

n = -21

b)

n = -9

c)

n = 9

d)

n = 21

85.

Martha baked cupcakes for 3 different classes. If each class needs 24 cupcakes which equation could be used to find x, the total number of cupcakes Martha will bake?

a)

3x=24

b)

x/3=24

c)

24x =3

d)

x/24 =3

86.

The goal of solving two-step equations is to:

a)

francine

b)

Find the coefficient

c)

Find the value of the variable

87.

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.

88.

Solve -3 + 2x = -1

a)

x = 3

b)

x = 2

c)

x = 1

d)

x = -2

89.

Solve 9 - 5t = 24

a)

t = -3

b)

t = 3

c)

t = -6.6

d)

t = 12

90.

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

91.

Solve
-7+ 2x = -23

a)

x = -8

b)

x = 8

c)

x = 13

d)

x = -13

92.

Solve 2y - 4 = -10

a)

y = -7

b)

y = 3

c)

y = -3

d)

y = 7

93.

Solve 12 - 6y = 24

a)

-1

b)

-2

c)

-3

d)

-4

94.

6. -3x + 5 = -13

a)

x = -5

b)

x = 2

c)

x = -6

d)

x = 6

95.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

96.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

97.

6p - 5 =13

a)

12

b)

15

c)

3

d)

-3

98.

x/5 - 13 = 20

a)

145

b)

165

c)

180

d)

190

99.

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

100.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

101.

12 = 4 - 4x

a)

10

b)

8

c)

4

d)

2

102.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

103.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

104.

Solve if 3x + 5 = 4

a)

1/3

b)

2/3

c)

-1/3

d)

-2/3

105.

Solve 8 -3x = -13

a)

7

b)

8

c)

9

d)

10

106.

-5h + 2 ≥ -8

a)

h≤2

b)

h>4

c)

h≤3

d)

h≥2

107.

3 < -5n + 2n

a)

n < 1

b)

n > 1

c)

n < -1

d)

n > -1

108.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

109.

3 < -5n + 2n

a)

n < 1

b)

n > 1

c)

n < -1

d)

n > -1

110.

Solve the inequality

4(5x + 2) ≤ 28

a)

x ≤ 1

b)

x ≥ 1

c)

x ≤ 8

d)

x ≥ 8

111.

Solve the following inequality:

-8\left(-4n-3\right)\ge280

a)

$n\ge-2$

b)

$n\le-2$

c)

$n\ge-7$

d)

$n\ge8$

112.

Solve the following inequality:

-2\left(x+2\right)<14

a)

$x<-5$

b)

$x>-5$

c)

$x<-9$

d)

$x>-9$

113.

Solve the following inequality:

-15<4x+1

a)

$x>4$

b)

$x<4$

c)

$x>-4$

d)

$x<-4$

114.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

115.

a − 6 ≤ 15 + 8a

a)

a ≤ -3

b)

a ≥ -3

c)

a ≤ 3

d)

a ≥ 3

116.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

117.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

118.

-2(5 + 6n) < 6(8 − 2n)

a)

no solution

b)

infinite solution

c)

x < 0

d)

x > 0

119.

You want to spend at most $1200 on a new laptop. If you make a $400 down payment, then pay the same amount every month for 12 months. Which Inequality could be use to solve to find out how much you can pay each month.

a)

12x + 1200 > 400

b)

12x + 400 < 1200

c)

12x + 400 > 1200

d)

12x + 400 < 1200

120.

Your taxi fare is $2.50 per mile, plus a $5 fee. You cannot exceed $20. Which inequality models this scenario?

a)

5x + 2.50 ≤ 20

b)

2.50x + 5 < 20

c)

2.50x + 5 ≤ 20

d)

7.50x < 20

121.

Which operations must we UNDO to solve this inequality?

$\frac{x}{-6}\ +\ 20\ >\ 4$

a)

Subtraction, then multiplication

b)

Multiplication, then division

c)

Addition, then division.

d)

Addition, then subtraction

122.

What is the first step to solving this inequality?

$9x\ -\ 6\ >\ 66$

a)

Add 9 to both sides of the inequality.

b)

Divide both sides of the inequality by 9.

c)

Subtract 6 on both sides of the inequality.

d)

Add 6 to both sides of the inequality.

123.

What is the first step to solve the following inequality?

$\frac{m}{-6}\ +\ 17\ \le\ 23$

a)

Multiply both sides of the inequality by -6

b)

Subtract 17 on both sides of the inequality.

c)

Divide both sides of the inequality by -6

d)

Add 17 to both sides of the inequality.

124.

What is the first step to solve the following inequality?

$25\ -\ 4y\ \ge\ 37$

a)

Subtract 25 from both sides of the inequality.

b)

Add 25 to both sides of the inequality.

c)

Divide both sides of the inequality by 4.

d)

Multiply both sides of the inequality by -4.

125.

What are the correct steps to solving this inequality?

$-3x\ -\ 12\ >\ 48$

a)

Subtract 12, then divide by 3, then reverse the inequality sign.

b)

Add 12, then multiply by -3, then reverse the inequality sign.

c)

Add 12, then divide by -3, then reverse the inequality sign.

d)

Subtract 12, then divide by -3, then reverse the inequality sign.

126.

In which of these inequalities will we need to reverse the inequality sign?

a)

$4a\ -\ \left(-8\right)\ \ge36$

b)

$\frac{b}{-6}\ +\ 10\ \le\ -2$

c)

$\frac{k}{5}\ +\ \left(-9\right)\ <\ 16$

d)

$3d\ +17\ >-1$

127.

How do we solve this inequality?

$9\ -\ \frac{4}{5}x\ \le-3$

a)

Subtract 9, then multiply both sides by $-\frac{5}{4}$

b)

Subtract 9, then multiply both sides by $\frac{5}{4}$

c)

Add 9, then multiply both sides by $-\frac{5}{4}$

d)

Add 9, then multiply both sides by $-\frac{4}{5}$

128.

Solve the following inequality:

$-8\ -\ 6x\ \ge10$

a)

$x\ge-\frac{1}{3}$

b)

$x\le-\frac{1}{3}$

c)

$x\ \ge-3$

d)

$x\ \le-3$

129.

Solve the following inequality:

-8\left(-4n-3\right)\ge280

a)

$n\ge-2$

b)

$n\le-2$

c)

$n\ge-7$

d)

$n\ge8$

130.

Solve the following inequality:

-10<\frac{x}{5}+4

a)

$x<-30$

b)

$x<-70$

c)

$x>-70$

d)

$x>-30$

131.

Solve the following inequality:

\frac{-w+6}{2}<5

a)

$w>-4$

b)

$w>-2$

c)

$w<-4$

d)

$w<-16$

132.

Solve the following inequality:

-15<4x+1

a)

$x>4$

b)

$x<4$

c)

$x>-4$

d)

$x<-4$

133.

Solve the following inequality:

-2\left(x+2\right)<14

a)

$x<-5$

b)

$x>-5$

c)

$x<-9$

d)

$x>-9$

134.

Select the graph the correctly identifies the solution to:

1+b>1

a)

b)

c)

d)

135.

Select the graph the correctly identifies the solution to:

-10r-37>3

a)

b)

c)

d)

136.

The following graph shows the solution with which inequality:

a)

$-6x-21>3$

b)

$-6x-21\ge3$

c)

$-6x-21<3$

d)

$-6x-21\le3$

137.

Select the graph the correctly identifies the solution to:

2\left(x+6\right)<-6

a)

b)

c)

d)

138.

The following graph shows the solution to which inequality?

a)

$-2x+6\le12$

b)

$-2x-10\le-16$

c)

$3x+2\le-7$

d)

$4x-7\le5$

139.

Select all that are solutions to the inequality:

$3-x<-2x+1$

a)

-2

b)

0

c)

-7

d)

6

e)

-5

140.

What value for x makes the following inequality true?

$\frac{6-5x}{4}>-x+1$

a)

-1

b)

2

c)

4

d)

5

141.

The graph represents solutions to which inequality?

a)

$3x-4<6x+8$

b)

$5x\ge6x-5$

c)

$\frac{x+4}{2}<x-1$

d)

$x+7\le2\left(x-5\right)$

142.

Which graph represents the solution to the inequality?

$1.5x+4<x+7$

a)

b)

c)

d)

143.

What is the solution to this inequality?

$\frac{1}{2}\left(x+\frac{3}{2}\right)>\frac{7}{8}$

a)

$x>\frac{1}{4}$

b)

$x>\frac{13}{16}$

c)

$x>3\frac{1}{4}$

d)

$x>\frac{1}{16}$

144.

9 ≥ -2m + 2 − 3

a)

m ≤ 5

b)

m ≤ -5

c)

m ≥ -5

d)

m ≥ 5

145.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

146.

Open dot or closed dot?

$g<-14$

a)

Open dot

b)

Closed dot

147.

Decide if the inequality will need to be flipped:

$-6x+5\ge35$

a)

Flip!

b)

Do not flip!

148.

Which way will the arrow on the number line point?

$x<-6$

a)

Left

b)

Right

149.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

150.

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

a)

Open

b)

Closed

Classify, Equations, Inequalities Test

Total questions: 150

Worksheet time: 4hrs 45mins

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