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GR73QTRMATH EXAM

Total questions: 127

Worksheet time: 1hrs 4mins

Name
Class
Date
1.

Product means...

a)

subtract

b)

multiply

c)

add

d)

divide

2.

Quotient means...

a)

add

b)

subract

c)

multiply

d)

divide

3.

Sum means to ...

a)

add

b)

subtract

c)

multiply

d)

divide

4.

Difference means to ...

a)

add

b)

subtract

c)

multiply

d)

divide

5.

The word "is" means...

a)

product

b)

equal

c)

add

d)

less than

6.

Translate: The product of a number, n, and two

a)

n - 2

b)

n + 2

c)

n2

d)

2n

7.

Translate: The quotient of seven and a number

a)

n7\frac{n}{7}

b)

7n\frac{7}{n}

c)

7n7n

d)

n7n7

8.

Translate: five more than a number

a)

5 + n

b)

n + 5

c)

n - 5

d)

5n

9.

Translate: the sum of a number and three

a)

3 -n

b)

(n + 3)

c)

3n

d)

3 + n

10.

Translate: ten added to a number

a)

10 - n

b)

10n

c)

n + 10

d)

10 + n

11.

Translate: a number less than eight

a)

n + 8

b)

8 - n

c)

n - 8

d)

8n

12.

Translate: a number subtracted from twenty is five

a)

n- 20

b)

20 - n = 5

c)

20 - n

d)

n - 20 = 5

13.

Write TRUE or FALSE for each statement. NOTE: Please follow the instructions properly. Write your answers in CAPITAL letters.

∣−8∣>0\left|-8\right|>0  



(a)  

14.

Write TRUE or FALSE for each statement. NOTE: Please follow the instructions properly. Write your answers in CAPITAL letters.

∣−2∣=2\left|-2\right|=2  



(a)  

15.

Write TRUE or FALSE for each statement. NOTE: Please follow the instructions properly. Write your answers in CAPITAL letters.

∣−6∣<∣−5∣\left|-6\right|<\left|-5\right|  



(a)  

16.

Write TRUE or FALSE for each statement. NOTE: Please follow the instructions properly. Write your answers in CAPITAL letters.

3<−(−4)3<-\left(-4\right)  



(a)  

17.

Write TRUE or FALSE for each statement. NOTE: Please follow the instructions properly. Write your answers in CAPITAL letters.

−∣−9∣>−∣−15∣-\left|-9\right|>-\left|-15\right|  



(a)  

18.

Find the SUM and DIFFERENCE as indicated.

(−34)+17+(−88)+5\left(-34\right)+17+\left(-88\right)+5  



(a)  

19.

Find the SUM and DIFFERENCE as indicated.

1−(−1)+6+(−6)−21-\left(-1\right)+6+\left(-6\right)-2  



(a)  

20.

Find the PRODUCT.

(−2)2\left(-2\right)^2  



(a)  

21.

Find the PRODUCT.

(−27)2\left(-\frac{2}{7}\right)^2  



(a)  

22.

Find the PRODUCT.

−(32)-\left(3^2\right)  



(a)  

23.

Find the PRODUCT.

−(−13)-\left(-1^3\right)  



(a)  

24.

Find the QUOTIENT. Simplify

−16÷(−8)-16\div\left(-8\right)  



(a)  

25.

Find the QUOTIENT. Simplify

−6−(−1)5\frac{-6-\left(-1\right)}{5}  



(a)  

26.

Find the QUOTIENT. Simplify

−1.5÷5-1.5\div5  



(a)  

27.

Evaluate the following. Let  x=−2 and y=−3x=-2\ and\ y=-3  .
2x2y2x^2y  


(a)  

28.

Evaluate the following. Let  x=−2 and y=−3x=-2\ and\ y=-3  .
(2xy)2\left(2xy\right)^2  



(a)  

29.

Evaluate the following. Let  x=−2 and y=−3x=-2\ and\ y=-3  .
x4+y3x^4+y^3  



(a)  

30.

a+b=b+aa+b=b+a  

Identify the property as COMMUTATIVE, ASSOCIATIVE or DISTRIBUTIVE.
Write your answers in CAPITAL letters.



(a)  

31.

a(dc)=(ab)ca\left(dc\right)=\left(ab\right)c  

Identify the property as COMMUTATIVE, ASSOCIATIVE or DISTRIBUTIVE.
Write your answers in CAPITAL letters.



(a)  

32.

3x2

a)

Linear Monomial

b)

Linear Binomial

c)

Quadratic Monomial

d)

Quadratic Binomial

33.

4x - 5

a)

Linear Monomial

b)

Linear Binomial

c)

Quadratic Monomial

d)

Quadratic Binomial

34.

x2 + 7x + 10

a)

Quadratic Monomial

b)

Quadratic Binomial

c)

Quadratic Trinomial

d)

Quadratic Polynomial with 4 terms

35.

x3 + 7x2 - 5x + 4

a)

Cubic Monomial

b)

Cubic Binomial

c)

Cubic Trinomial

d)

Cubic Polynomial with 4 terms

36.

x

a)

Linear Monomial

b)

Linear Binomial

c)

Quadratic Monomial

d)

Quadratic Binomial

37.

17x4 + 17x + 17

a)

4th degree monomial

b)

4th degree binomial

c)

4th degree trinomial

d)

4th degree polynomial with 4 terms

38.

6x3 + 2x2 + 5x

a)

Linear Monomial

b)

Quadratic Binomial

c)

Cubic Trinomial

d)

4th degree polynomial with 4 terms

39.

4x8 + 3x + 4

a)

8th degree monomial

b)

8th degree binomial

c)

8th degree trinomial

d)

8th degree polynomial with 4 terms

40.

32

a)

constant trinomial

b)

constant monomial

c)

linear monomial

d)

linear binomial

41.

2x2 + 3x - 7

a)

Linear Trinomial

b)

Quadratic Binomial

c)

Linear Monomial

d)

Quadratic Trinomial

42.

Identify a constant in the expression

3x + 4y + 2

a)

1

b)

2

c)

3

d)

4

43.

How many terms are in the expression

3x + y + 2z

a)

1

b)

2

c)

3

d)

4

44.

Identify the variables in the expression
x^2 + 9x +14



(a)  

45.

How many terms are in the expression

3a + 2b + 4c + 5?

a)

3

b)

5

c)

4

d)

2

46.

Identify the constant in the expression

4y - 2 + 2x.

a)

2

b)

-2

c)

4

d)

-4

47.

A number with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

48.

The number before a variable is the (a)   .

49.

A letter that represents a number is called a _____.

a)

term

b)

variable

c)

constant

d)

coefficient

50.

What is the leading term in the expression 5x^3-2x^2-x^4-x-5

a)

5x^3

b)

-2x^2

c)

-x^4

d)

-x

51.

In 5x - 4y + 3f - 7k, how many variables are there?

a)

3

b)

5

c)

4

d)

7

52.

Identify a constant in the expression

3x + 4y + 2

a)

1

b)

2

c)

3

d)

4

53.

How many terms are in the expression

3x + y + 2z

a)

1

b)

2

c)

3

d)

4

54.

Identify the variables in the expression
x^2 + 9x +14

a)

w

b)

x

c)

y

d)

z

55.

How many terms are in the expression

3a + 2b + 4c + 5?

a)

3

b)

5

c)

4

d)

2

56.

Identify the constant in the expression

4y - 2 + 2x.

(a)  

57.

A number with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

58.

The number before a variable is the (a)   .

59.

A letter that represents a number is called a (a)   .

60.

What is the leading term in the expression 5x^3-2x^2-x^4-x-5

a)

5x^3

b)

-2x^2

c)

-x^4

d)

-x

61.

In 5x - 4y + 3f - 7k, how many variables are there?

(a)  

62.

In the expression 3p+43p+4 , what is 3?

a)

Numerical coefficient

b)

Literal coefficient

c)

Variable

d)

Constant

63.

In the expression x2+x−12x^2+x-12 , what is -12?

a)

Numerical coefficient

b)

Exponent

c)

Variable

d)

Constant

64.

In the expression x2−9x^2-9 , what is 2?

a)

Numerical coefficient

b)

Exponent

c)

Variable

d)

Constant

65.

How many terms does this expression have? a−3b+ca-3b+c  

a)

1

b)

2

c)

3

d)

4

66.

Classify the algebraic expression based on the number of terms: 4x4+x3−4x2+9x−104x^4+x^3-4x^2+9x-10   

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Multinomial

67.

Classify the algebraic expression based on the number of terms: 3x−y+2z3x-y+2z   

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Multinomial

68.

Identify the degree of the polynomial: 4x5−9x2+x4x^5-9x^2+x   

a)

1

b)

2

c)

3

d)

5

69.

Identify the degree of the polynomial: −12-12   

a)

0

b)

1

c)

2

d)

3

70.

Identify the degree of the polynomial: 8x3y2+2x2y+108x^3y^2+2x^2y+10   

a)

0

b)

1

c)

3

d)

5

71.

Identify the degree of the polynomial: −8g3h3−5g2h-8g^3h^3-5g^2h   

a)

1

b)

2

c)

4

d)

5

72.

Classify the algebraic expression based on its degree: 7x6−9x4−12x27x^6-9x^4-12x^2   

a)

Linear

b)

Quintic

c)

Sextic

d)

Septic

73.

Classify the algebraic expression based on its degree: −4p2−5p4−7-4p^2-5p^4-7   

a)

Linear

b)

Quintic

c)

Quartic

d)

Cubic

74.

Classify the algebraic expression based on its degree: 6m4−3m2+86m^4-3m^2+8   

a)

Linear

b)

Quintic

c)

Quartic

d)

Cubic

75.

Which of the following are polynomials?   

a)

43x−2x\frac{4}{3x}-2x  

b)

2x−32x^{-3}  

c)

7x3y−2x7x^3y-2x  

d)

2x23+9\frac{2x^2}{3}+9  

e)

32x+2y−z3\sqrt[]{2x}+2y-z  

76.

Which of the following are like terms?   

a)

−2x-2x  

b)

3x23x^2  

c)

4y24y^2  

d)

−6x2-6x^2  

e)

−x2-x^2  

77.

In the expression 9x3+2x2+4x+109x^3+2x^2+4x+10 , identify the leading coefficient:

a)

1010  

b)

99  

c)

9x39x^3  

d)

4x4x  

78.

In the expression 16x4+8x3−6x2+6x−116x^4+8x^3-6x^2+6x-1 , identify the leading term:

a)

16x416x^4  

b)

8x38x^3  

c)

−6x2-6x^2  

d)

6x6x  

79.

In the expression 6x5−4x4−3x3−x2+x−66x^5-4x^4-3x^3-x^2+x-6 , identify the constant term:

a)

−4x4-4x^4  

b)

6x56x^5  

c)

66  

d)

−6-6  

80.

Which of the following conditions would make an algebraic expression NOT a polynomial?

a)

 The variable in the term has a negative exponent.

b)

The variable in the term is in the denominator. 

c)

 The variable in the term has a fraction exponent.

d)

 The variable in the term is in the numerator. 

e)

 The variable in the term has a positive exponent.

81.

Which of the following are unlike terms?   

a)

  5, 3x, −3x25,\ 3x,\ -3x^2  

b)

  3, −3, 53,\ -3,\ 5  

c)

  3x, −y, 93x,\ -y,\ 9  

d)

  x2, −x2, 7x2x^2,\ -x^2,\ 7x^2  

e)

−a2, 4b2, 7c2-a^2,\ 4b^2,\ 7c^2  

82.

Which of the following are considered polynomials?

a)

x3+2x2−3x+4x^3+2x^2-3x+4

b)

x2−1\sqrt{x^2-1}

c)

a+b+c−da+b+c-d

d)

2x−13x+4\frac{2x-1}{3x+4}

83.

Which of the following functions is written in standard form?

a)

y=x+7y=x+7

b)

f(x)=6x−2+5x2f\left(x\right)=6x-2+5x^2

c)

f(x)=x3−3x2+3x−1f\left(x\right)=x^3-3x^2+3x-1

d)

y=4−x2y=4-x^2

84.

What is the standard form of  f(x)=6x−2+5x2 f\left(x\right)=6x-2+5x^2\  ?

a)

f(x)=−2+6x+5x2f\left(x\right)=-2+6x+5x^2  

b)

f(x)=6x +5x2 − 2f\left(x\right)=6x\ +5x^2\ -\ 2  

c)

f(x)=5x2 +6x −2f\left(x\right)=5x^2\ +6x\ -2  

85.

Given : f(x)=5x2 +6x − 2Given\ :\ f\left(x\right)=5x^2\ +6x\ -\ 2  

What is its leading coefficient?



(a)  

86.

Given : f(x)=5x2 +6x − 2Given\ :\ f\left(x\right)=5x^2\ +6x\ -\ 2  

What is its constant term?



(a)  

87.

Given : f(x)=5x2 +6x − 2Given\ :\ f\left(x\right)=5x^2\ +6x\ -\ 2  

What is its degree?



(a)  

88.

Given : f(x)=3x4−2x2+9x +4Given\ :\ f\left(x\right)=3x^4-2x^2+9x\ +4  

What is its degree?



(a)  

89.

Given : f(x)=3x4−2x2+9x +4Given\ :\ f\left(x\right)=3x^4-2x^2+9x\ +4  

What is its constant term?



(a)  

90.

Given : f(x)=3x4−2x2+9x +4Given\ :\ f\left(x\right)=3x^4-2x^2+9x\ +4  

What is its leading coefficient?



(a)  

91.

Create an expression to represent the following real-world word problem.

You spend $20 for a shirt and d dollars on jeans

(a)  

92.

Create an expression to represent the following real-world word problem.

Five times Mike's age, m, increased by 9

(a)  

93.

Simplify:    a4×a5Simplify:\ \ \ \ a^4\times a^5

a)

a9a^9  

b)

a20a^{20}  

c)

2a92a^9  

d)

2a202a^{20}  

94.

Simplify:    3y4×3y5Simplify:\ \ \ \ 3y^4\times3y^5

a)

6y206y^{20}  

b)

9y209y^{20}  

c)

6y96y^9  

d)

9y99y^9  

95.

Simplify:    (a2)3Simplify:\ \ \ \ \left(a^2\right)^3

a)

a6a^6  

b)

a5a^5  

c)

a4a^4  

d)

a3a^3  

96.

Simplify:    (xy)3Simplify:\ \ \ \ \left(xy\right)^3

a)

x3yx^3y  

b)

xy3xy^3  

c)

x3y3x^3y^3  

d)

3xy3xy  

97.

Simplify:    x8x2Simplify:\ \ \ \ \frac{x^8}{x^2}

a)

x10x^{10}  

b)

x6x^6  

c)

2x62x^6  

d)

2x102x^{10}  

98.

Simplify:    (xy)3Simplify:\ \ \ \ \left(\frac{x}{y}\right)^3

a)

3x3y\frac{3x}{3y}  

b)

xy3\frac{x}{y^3}  

c)

x3y\frac{x^3}{y}  

d)

x3y3\frac{x^3}{y^3}  

99.

Simplify:    (23)2Simplify:\ \ \ \ \left(\frac{2}{3}\right)^2

a)

49\frac{4}{9}  

b)

46\frac{4}{6}  

c)

43\frac{4}{3}  

d)

26\frac{2}{6}  

100.

Simplify:    12x0Simplify:\ \ \ \ 12x^0

a)

12x12x  

b)

11  

c)

1212  

d)

00  

101.

Simplify:    45a4b25a4bSimplify:\ \ \ \ \frac{45a^4b^2}{5a^4b}

a)

99  

b)

9a9a  

c)

9ab9ab  

d)

9b9b  

102.

Simplify:    a5a7Simplify:\ \ \ \ \frac{a^5}{a^7}

a)

1a2\frac{1}{a^2}  

b)

a2a^2  

c)

2a22a^2  

d)

a12a^{12}  

103.
Put in Standard Form.
12 - 3x3 - 10x - x2
a)
 - 3x3 - x2 - 10x + 12
b)
 3x3 - x2 + 10x + 12
c)
12 - 3x3 - 10x - x2
It is in Standard Form.
d)
12 - 10x - 3x3 - x2
104.

Which ones are polynomials? (You may select more than one.)

a)
b)
c)
d)
105.
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
106.

True or false?

To find the leading coefficient, we have to write our polynomial so that the order of the degree goes from least to greatest?

a)

true

b)

false

107.

The most specific classification for this polynomial is

: x2 + 2x3 + 6

a)

monomial

b)

binomial

c)

polynomial

d)

trinomial

108.
Is b + 8 a monomial?
a)
yes
b)
no
109.

Classify by terms and degree:

9x4

a)

Quadratic polynomial

b)

Fourth degree monomial

c)

9th degree monomial

d)

Third degree monomial

110.
A number, a variable, or the product of a number and one or more variables with whole number exponents...
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
111.

What is the degree of this polynomial?

2x4 - 3x5 + x

a)

-3

b)

2

c)

4

d)

5

112.

What is the constant of this polynomial?

2x3 - 8x2 + 3x - 7

a)

7

b)

-8

c)

3

d)

-7

113.

What is the leading term of this polynomial?

4x3 + 8x5 - 4x2 + 1x

a)

1x

b)

8x5

c)

4x3

d)

-4x2

114.

What is the leading coefficient of the following?

2x3-8x5+3x-7

a)

2

b)

-8

c)

3

d)

-7

115.

What is the degree of the monomial?

2x2y3z

a)

2

b)

3

c)

5

d)

6

116.

Simplify the following: 2x + 4(5x+3)

a)

22x + 12

b)

2x + 20x + 12

c)

2x + 20 + 12

d)

8x + 20x + 12

117.
Classify by the DEGREE:
4x3 - 5x2 + 2x - 1
a)
1
b)
2
c)
3
d)
4
118.
Write the polynomial so that the powers of x are in descending order, -3x + 8x2 - 11 + 9x3
a)
It is already in standard form
b)
9x3 + 8x2 - 3x - 11
c)
8x2 + 9x3 -11 - 3x
d)
-11 - 3x + 8x2 + 9x3
119.
What is the correct name of the following:
3xy + 4x + 5y + 6
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
120.

When putting polynomials in standard form, what order do you put the degrees?

a)

greatest to least

b)

least to greatest

c)

it doesn't matter

121.
Is 4x5y2 a monomial?
a)
yes
b)
no
122.
What is the degree?
2
a)
Degree 1
b)
Degree 2
c)
Degree 3
d)
Degree 0
123.

Multiply:

(4 x 105)(5 x 10-3)

a)

20 x 102

b)

20 x 10-8

c)

2 x 103

d)

2 x 10

124.
Solve:
(2.1×10​2​​) × (3.0×10​4)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
125.

Solve:

(9 x 10-6) (3 x 10-3)

a)

27 x 10-9

b)

3 x 10-3

c)

2.7 x 10-8

d)

2.7 x 10-10

126.
Write the answer in scientific notation.
5 x 108 -   3.4 x 108  =
a)
2.4 x 108
b)
2.4 x 100
c)
1.6 x 100
d)
1.6 x 108
127.

(9.6×10-8)÷(2×10-15)

a)

-4.8×107

b)

4.8×107

c)

4.8×10-7

d)

4.8×10-23

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Grade 7 End of term 2 revision 2023-2024

130 questions

Grade 7 End of term 2 revision 2023-2024

quiz

Worksheet

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7th Grade

Scientific Thinking Skills Review For Final

124 questions

Scientific Thinking Skills Review For Final

quiz

Worksheet

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6th - 12th Grade