Free Printable G7 Holiday math homework part1

1.

Carla and her sisters each earned 9 dollars for babysitting. Which expression represents how much Carla and her sister earned altogether?

a)

9 + x

b)

9x

c)

2(9 + x)

d)

2x + 9

2.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

3.

A(n) __________________ consists of one or more numbers, variables, and operations.

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

4.

Which of the following is an example of an algebraic expression?

a)

3(2 + 7) - 10

b)

78 - 5 + 3

c)

3x + 6y

d)

8(3) - 5 + 2

5.

Which of the following terms mean "addition"?

a)

of

b)

how many

c)

total of

d)

shared

6.

Which of the following terms means "subtract"?

a)

half

b)

less than

c)

double

d)

per

7.

A(n) __________________ is a number and/or variable that is separated by addition or subtraction.

a)

variable

b)

term

c)

coefficient

d)

expression

8.

A ______________ is a number multiplied by a variable.

a)

term

b)

variable

c)

coefficient

d)

numerical expression

9.

Difference, minus, less than, and decreased by are all words that mean ______________.

a)

add

b)

subtract

c)

multiply

d)

divide

10.

How many terms are in the given expression?
5² + 7n - 2f

a)

6

b)

5

c)

3

d)

2

11.

Which verbal expression represents the given expression?
3(4-x)

a)

four minus the number x divided by 3

b)

three times four less than a number x

c)

three times the quantity x less than four

d)

four subtracted from x times three

12.

Which expression represents: "the product of 3 and x increased by 5"?

a)

5x - 3

b)

3 - 5x

c)

3x + 5

d)

3x(5)

13.

Which expression represents "x cubed less than 7"?

a)

x³ - 7

b)

3x - 7

c)

7 - x³

d)

7 - 3x

14.

What is the coefficient of the following expression?
7c + 8

a)

c

b)

7

c)

8

d)

1

15.

What is the coefficient in the given expression: 2 - p + 4?

a)

0

b)

4

c)

2

d)

1

16.

Which set of words mean "exponent"?

a)

cubed, squared, increased, twice

b)

cubed, twice, squared, double

c)

cubed, squared, power

d)

cubed, squared, twice, triple

17.

"Twice the quantity of" means you will use ____________ to write the expression.

a)

addition

b)

subtraction

c)

division

d)

parenthesis

18.

The algebraic expression 6x - 4 can be written as which of the following?

a)

x to the sixth power decreased by four

b)

The product of six and a number x decreased by four

c)

Six times a number x less than four

d)

four less than six

19.

Kendra’s math teacher assigned math homework, but Kendra decided to do 5 extra problems. Which algebraic expression shows how many problems Kendra completed?

a)

5x

b)

x-5

c)

x+5

d)

x⁵

20.

Andy and 4 friends equally shared some pizzas. How much did they each eat?

a)

4x

b)

x / 4

c)

5x

d)

x / 5

21.

Twenty decreased by x

a)

20+x

b)

20/x

c)

x-20

d)

20-x

22.

The number h decreased by eight

a)

h-8

b)

8h

c)

h+8

d)

8-h

23.

The sum of seven and x

a)

7-x

b)

x-7

c)

7x

d)

7+x

24.

Evaluate the expression using the values
m = 7, r = 8, and t = 2.
4m + t

a)

30

b)

28

c)

26

d)

14

25.

Evaluate the expression using the values m = 7, r = 8, and t = 2.
r/t

a)

8

b)

6

c)

4

d)

7

26.

Which is NOT a word phrase for the algebraic expression.
n + 16

a)

a number increased by 16

b)

16 increased by a number

c)

the sum of a number and 16

d)

16 more than a number

27.

Write an algebraic expression for the word phrase.
12 more than (m) machines

a)

12-m

b)

m-12

c)

12+m

d)

m+12

28.

Combine the like terms. Simplify.
2x + x - 4y

a)

2x+x-4y

b)

4x+4y

c)

3x-4y

d)

3x+4y

29.

Combine like terms. Simplify.
11g-9g+8g

a)

10g

b)

9g

c)

2g

d)

11g

30.

Solve using distributive property.
3(x-6)

a)

3x+18

b)

3x-6

c)

3x+6

d)

3x-18

31.

Factor:
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

32.

Carla and her sisters each earned 9 dollars for babysitting. Which expression represents how much Carla and her sister earned altogether?

a)

9 + x

b)

9x

c)

2(9 + x)

d)

2x + 9

33.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

34.

Which of the following terms mean "addition"?

a)

of

b)

how many

c)

total of

d)

shared

35.

Which of the following terms means "subtract"?

a)

half

b)

less than

c)

double

d)

per

36.

Difference, minus, less than, and decreased by are all words that mean ______________.

a)

add

b)

subtract

c)

multiply

d)

divide

37.

Which expression represents: "the product of 3 and x increased by 5"?

a)

5x - 3

b)

3 - 5x

c)

3x + 5

d)

3x(5)

38.

What is the coefficient of the following expression?
7c + 8

a)

c

b)

7

c)

8

d)

1

39.

What is the coefficient in the given expression: 2 - p + 4?

a)

0

b)

4

c)

2

d)

1

40.

The algebraic expression 6x - 4 can be written as which of the following?

a)

x to the sixth power decreased by four

b)

The product of six and a number x decreased by four

c)

Six times a number x less than four

d)

four less than six

41.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

42.

$What\ are\ the\ factors\ of\ \ x^2\ -5x\ +6\ ?$

a)

(x - 2)(x - 3)

b)

(x - 1)(x +6)

c)

(x+2)(x-3)

d)

(x +1)(x -6)

43.

$What\ are\ the\ factors\ of\ \ x^2\ +5x\ +6\ ?$

a)

(x - 2)(x - 3)

b)

(x +1)(x +6)

c)

(x+2)(x+3)

d)

(x -1)(x -6)

44.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

45.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

46.

Factor
x² + x - 6

a)

(x + 2)(x + 3)

b)

(x + 6)(x -1)

c)

(x + 3)(x - 2)

d)

(x +1)(x - 6)

47.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

48.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

49.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

50.

The final factors of 4x²- 64y²are :

a)

4( x - 4y) (x + 4y)

b)

( 2x - 32y) (2 x + 32y)

c)

( 2x - 8y) (2 x - 8y)

d)

( 2x - 8y) (2 x + 8y)

51.

25x²y²- 100

a)

( 5xy - 10) (5xy + 10)

b)

( 5xy + 10) (5xy + 10)

c)

Prime

d)

( 5xy - 50) (5xy + 50)

52.

x²+ 81

a)

Prime

b)

( x - 9 ) ( x + 9 )

c)

( x + 9 ) ( x + 9 )

d)

( x - 9 ) ( x - 9 )

53.

2n⁴ /6n⁴

a)

1/3n

b)

3

c)

3n

d)

1/3

54.

a)

4/x

b)

x/4

c)

1/4x

d)

4x

55.

a)

A.

b)

B.

c)

C.

d)

D.

56.

simplify 15/20

a)

5/10

b)

3/4

c)

2/3

d)

1/5

57.

Put in Simplest Form: 33/77

a)

33/77

b)

3/7

c)

3/77

d)

66/154

58.

Simplify: 9m²∕27m³

a)

1⁄3m

b)

3⁄7m²

c)

1∕3m²

d)

3∕m²

59.

Simplify:

a)

4(x+5)/3(x+5)

b)

4/3

c)

3/4

d)

x+5

60.

Simplify:

a)

x(x-5)/(x+5)(x-5)

b)

x/(x-5)

c)

x/(x+5)

d)

(x+5)/x

61.

Simplify:

a)

4(x-3)/(x-7)

b)

4(x+3)/(x+7)

c)

4(x+3)(x-7)

d)

4(x-3)/(x+7)

62.

Simplify:

a)

(x-3)/2

b)

2/(x-3)

c)

(x+3)/2

d)

2/(x+3)

63.

Simplify:

a)

1/x²

b)

x

c)

1/x

d)

x²

64.

Simplify:

a)

(y-4)/(y-3)

b)

(y+4)/(y+3)

c)

(y+3)/(y+4)

d)

(y-3)/(y-4)

65.

Simplify the algebraic fraction.

a)

-3/b

b)

-b/3

c)

3b

d)

-3b

66.

Simplify the algebraic fraction.

a)

2pq

b)

2/pq

c)

pq/2

d)

p/2q

67.

a)

6/5x

b)

6/5

c)

(x+3)/(x+2)

d)

(x+3)/(x-4)

G7 Holiday math homework part1

Total questions: 67

Worksheet time: 2hrs 15mins

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