Question : List the like terms of the expression. 1) 7x - 2x + 2 : 2151887

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

List the like terms of the expression.

1) 7x - 2x + 2

A) There are no like terms

B) 7x, - 2x, and 2 are like terms

C) 7x and 2 are like terms

D) 7x and - 2x are like terms

2) -13a - 9b - 4b + 3a

A) There are no like terms

B) -13a, 3a, - 9b and - 4b are like terms

C) -13a and - 9b are like terms

- 4b and 3a are like terms

D) -13a and 3a are like terms

- 9b and - 4b are like terms

3) -5y + 3 - 2 + 5x + y - 6

A) -5y and y are like terms

3, - 2, 5x, and - 6 are like terms

B) -5y and y are like terms

3, - 2, and - 6 are like terms

C) -5y and y are like terms

D) -5y, 5x, and y are like terms

3, - 2, and - 6 are like terms

4) -9pq + 5pq² - 7p²q - 2pq

A) -9pq and - 2pq are like terms

B) There are no like terms

C) -9pq and - 2pq are like terms

5pq² and - 7p²q are like terms

D) -9pq, 5pq², - 7p²q, - 2pq are like terms

5) -10xy + 5xy² - 3x²y - 7xy² + xy

A) -10xy and xy are like terms

5xy², - 3x²y, and - 7xy² are like terms

B) 5xy² and - 7xy² are like terms

C) -10xy and xy are like terms

5xy² and - 7xy² are like terms

D) -10xy and xy are like terms

6) 2x⁵ + 6x² - 5 + 5x⁵ - 2x² + 7x

A) 2x⁵ and 5x⁵ are like terms

6x², -2x², and 7x are like terms

B) 2x⁵ and 5x⁵ are like terms

6x² and -2x² are like terms

C) 2x⁵ and 5x⁵ are like terms

6x² and -2x² are like terms

- 5 and 7x are like terms

D) 2x⁵, 6x², 5x⁵ and -2x² are like terms

Combine like terms.

7) 8x - 3x + 5

A) -5x + 5

B) 5x + 5

C) 11x + 5

D) 10x

8) 5a - 6b + 9 - 8b + 3a + 3

A) 8a - 14b + 12

B) 8a - 3b - 3

C) 6ab

D) 8a² - 14b² + 12

9) 9x² + 5x - 7 + 8x + 9 + 4x²

A) -3x² + 17x + 14

B) 13x⁴ + 13x² + 2

C) 13x² + 13x + 2

D) 28x³

10) 5pq - 6p + 4q + 9p + 5pq - 9

A) 10pq + 14p + 9q - 9

B) 10pq + 3p - 5q

C) 8pq

D) 10pq + 3p + 4q - 9

11) 8ab + 4bc + 5ac - 2bc + 2ab

A) 10ab + 2bc + 5ac

B) 8ab + 6bc + 5ac

C) 10ab + 4bc + 11ac

D) 10ab + 4bc + 5ac - 2abc

12) 3n + 8n⁴ + 7n + 7n4

A) 3n + 5n⁴

B) 10n + 15n⁴

C) 10n + 8n⁴ + 7

D) 3n + 15n⁴ + 7

13) 5.5x - 1.2y - 3.2x + 7y + 2.6x

A) 4.9x - 1.2y + 7

B) 4.9x + 5.8y

C) 4.9x + 8.2y

D) 11.3x + 5.8y

14) - (1/4)s - (2/3)t + (2/3)s + (3/5)t

A) (5/12)s - (1/15)t

B) (1/4)s - (1/15)t

C) - (1/4)s - (1/15)t + (2/3)

D) (5/12)s - (2/3)t + (3/5)

15) (1/4)x - (3/4)y² - (3/4)x + (1/3)y²

A) - (5/32)x - (5/12)y²

B) - (1/2)x - (5/12)y²

C) - (1/2)x² - (5/12)y⁴

D) - (1/2)x - (3/4)y² + (1/3)y

16) 15ab + 20 + 10ab² + 14 + 8ab² + 3ab + 7a²b²

A) 7a²b² + 36ab² + 34

B) 7a²b² + 18ab² + 18ab + 34

C) 15ab + 20 + 10ab² + 14 + 8ab² + 3ab + 7a²b²

D) 25a²b² + 18ab + 34

Simplify the expression, and combine like terms.

17) -(9z - 2) + 8(3z + 7)

A) 15z + 9

B) 15z + 54

C) 15z + 58

D) 15z + 5

18) -4(6x + 7y) + 4(3x + 4y)

A) -12x + 7y + 4

B) 2x - 12y

C) -12x - 12y

D) -52xy

19) -3(8xy + 5y²) + 6y(3x + 7y)

A) -6xy + 5y² + 7y

B) 5xy + 2

C) -39xy³ + 3x + 7y

D) -6xy + 27y²

20) 5(5a + 9b) - (7a - 3b)

A) 18a + 12b

B) 32a + 48b

C) 18a + 48b

D) 18a + 42b

21) 2(6x² + 10y) - (6x² - 3y)

A) 6x² + 17y

B) 6x² + 23y

C) 18x² + 13y

D) 18x² + 23y

22) 6(10a² + 6ab) - a(10a - 5b)

A) 70a² + 6ab - 5b

B) 70a² + 41ab

C) 50a² + 41ab

D) 50a² + 31ab

23) 9n(m + 5n) + 10(2mn + 11n²)

A) 21mn + 35n²

B) 29mn + 110n² + 45n

C) 29mn + 11n² + 5n

D) 29mn + 155n²

24) 5(2 - x) - 6(7 - 4x)

A) -29x - 32

B) 19x - 32

C) -5x - 32

D) 3x + 3

Solve the problem by combining like terms.

25) To convert from meters to centimeters, we multiply by 100. For example, the number of centimeters in 3 meters is 100⋅3 = 300. If one piece of string has a length of x - 5 meters, and another piece of string has a length of 2x + 8 centimeters, express their total length in centimeters as an algebraic expression.

A) 300x + 300 centimeters 

B) 102x - 492 centimeters

C) 3x + 3 centimeters

D) 201x + 795 centimeters

26) The value of 8 dimes is 10⋅8 = 80 cents. Likewise, the value of x dimes is 10x cents. If George finds 4x - 2 nickels, 6x dimes, and x quarters in his change jar, express the total value of change in cents as an algebraic expression.

A) 105x - 10 cents

B) 105x - 2 cents

C) 80x - 10 cents

D) 105x + 10 cents

27) Given the following quadrilateral, express the perimeter, or total distance around the figure, as an algebraic expression containing the variable x.

A) 5x + 4 inches

B) 5x + 6 inches

C) 6x + 4 inches

D) 6x + 6 inches

28) A triangle has sides of length 3a + 8 inches, 4a + 2b inches, and 10b + 7 inches. What is the perimeter of the triangle?

A) 7a + 2b + 15 inches

B) 19ab + 15 inches

C) 7a + 12b + 15 inches

D) 7a + 12b + 7 inches

29) Find the perimeter of a triangle whose sides are of lengths 2x, 2x - 9, and x.

A) -5x

B) 5x - 9

C) 4x - 9

D) 4x² - 18x

30) Find the perimeter of a square with sides of length x - 7.

A) x - 28

B) 4x - 7

C) 4x - 28

D) x² + 49

31) A rectangle has sides of length 8x + 3 meters and 4x - 5 meters. What is the perimeter of the rectangle?

A) 12x - 2 meters

B) 20x meters

C) 24x - 4 meters

D) 24x - 2 meters