IDENTIFY LIKE AND UNLIKE TERMS WORKSHEET

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State whether a given pair of terms is of like or unlike terms.

Problem 1 :

-7x, 5/2x

Solution

Problem 2 :

1, 100

Solution

Problem 3 :

-29x, -29y

Solution

Problem 4 :

14xy, 42yx

Solution

Problem 5 :

4m²p, 4mp²

Solution

Problem 6 :

12xz, 12x²z²

Solution

Problem 7 :

Identify like terms in the following :

-xy², -4yx², 8x², 2xy², 7y, -11x², -100x, -11yx, 20x²y, -6x², y, 2xy, 3x

Solution

Problem 8 :

10pq, 7p, 8q, -p²q², -7qp, -100q, -23, 12q²p², -5p², 41, 2405p, 78qp, 13p²q, qp², 701p²

Solution

Problem 9 :

Let A = 4x + 8 and B = 6 + 8x, what is A + B?

Solution

Problem 10 :

Let X = 3x + 5 + 2x and Y = 4 + 7x + 1. What is X + Y ?

Solution

Problem 11 :

Julian says the expressions 3 + 3(2a + 2) and 9a + 9 are equivalent. Is she correct ? How do you know ?

Solution

Problem 12 :

To solve for the perimeter of a polygon, one must find the sum of all side. Look at the equilateral triangle below. What is the perimeter ?

Solution

Problem 13 :

To solve for the perimeter of a polygon, one must find the sum of all side. Look at the equilateral triangle below. What is the perimeter ?

Solution

Problem 14 :

The area of Sandbox B is 4 square feet greater than the area of Sandbox A. Write and simplify an expression for the width w of Sandbox B.

Solution

Problem 15 :

The candles shown have the same volume. Write and simplify an expression for the height of the cone-shaped candle.

Solution

Problem 16 :

The expression 12 + x + 4 represents the perimeter of a triangle. Simplify the expression.

Solution

Problem 17 :

Which expression is equivalent to 5(n − 8) + 4n?

a) 49n b) 9n + 40 c) 9n − 40 d) 5n − 40

Solution

Problem 18 :

A case of Scout cookies has 10 cartons. A carton has 12 boxes. The amount you earn on a whole case is 10(12x) dollars.

a. What does x represent?

b. Simplify the expression

Solution

Answer Key

1) -7x, 5/2x are like terms.

2) 1, 100 are constants and are like terms

3) -29x, -29y are having different variables. So, they are unlike terms.

4) 14xy, 42yx are having same variables. So, they are like terms.

5) 4m²p, 4mp² are not same variables. So, they are unlike terms.

6) 12xz, 12x²z² are not having different variables. So, they are unlike terms.

The terms which are having xy²:

-xy²and 2xy²

The terms which are having x²y :

-4yx², 20x²y

The terms which are having x² :

8x², -11x²,- 6x²

The terms which are having xy :

-11yx, 2xy

The terms which are having x :

3x and -100x

The terms which are having y :

7y and y

The terms which are having pq :

10pq, -7qp, 78qp

The terms which are having p :

7p, 2405p

The terms which are having q :

8q, -100q

The terms which are having p²q² :

-p²q²,12q²p²

Terms don't have any variable :

-23, 41

The terms which are having p²q :

13p²q, qp²

The terms which are having p² :

-5p², 701p²

9) 12x + 14

10) 12x + 5

11) 6a + 9 is not equivalent to 9a + 9.

12) the perimeter of the triangle is 12x + 8.

13) 18x + 14

14) w = 4x(2x + 3)/(2x + 1) + 4/(2x + 1)

15) (3/4) (x + 4)

16) 16 + x

17) 9n - 40

18)

a. The variable x represents the earnings (or price) per single box of cookies.

b. The simplified expression is 120x.

Identify the numerical coefficients of terms (other than constants) in the following expressions :

Problem 1 :

5 – 3t²

Solution

Problem 2 :

1 + t + t² + t³

Solution

Problem 3 :

x + 2xy + 3y

Solution

Problem 4 :

100m + 1000n

Solution

Problem 5 :

-p²q² + 7pq

Solution

Problem 6 :

1.2 a + 0.8 b

Solution

Problem 7 :

3.14 r²

Solution

Problem 8 :

2(l + b)

Solution

Problem 9 :

0.1 y + 0.01 y²

Solution

Identify terms which contain x and give the coefficients of x.

Problem 1 :

y²x + y

Solution

Problem 2 :

13y² – 8yx

Solution

Problem 3 :

x + y + 2

Solution

Problem 4 :

5 + z + zx

Solution

Problem 5 :

1 + x + xy

Solution

Problem 6 :

12xy² + 25

Solution

Problem 7 :

7x + xy²

Solution

Identify terms which contain y² and give the coefficients of y².

Problem 1 :

8 – xy²

Solution

Problem 2 :

5y² + 7x

Solution

Problem 3 :

2x²y – 15xy² + 7y²

Solution

Answer Key

Numerical coefficient of t² is -3.
5 is a constant term.

Numerical coefficient of t is1.
Numerical coefficient of t² is1.
Numerical coefficient of t³ is1.
1 is a constant term.

Numerical coefficient of x is1.
Numerical coefficient of xy is 2.
Numerical coefficient of y is 3.
0 is a constant term.

Numerical coefficient of m is100.
Numerical coefficient of n is1000.
0 is a constant term.

Numerical coefficient of p²q²is -1.
Numerical coefficient of pq is 7.
0 is a constant term.

Numerical coefficient of a is1.2.
Numerical coefficient of b is 0.8.
0 is a constant term.

Numerical coefficient of r² is 3.14.
0 is a constant term.

Numerical coefficient of l is 2.
Numerical coefficient of b is 2.
0 is a constant term.

Numerical coefficient of y is 0.1.
Numerical coefficient of y² is 0.01.
0 is a constant term.

y²x is the term containing x.
Coefficient of x is y².

-8yx is that term containing x.
Coefficient of x is -8y.

x is that term containing x.
Coefficient of x is 1.

zx is that term containing x.
Coefficient of x is z.

x is that term containing x.
xy is that term containing x.
Coefficient of x is 1.
Coefficient of x is y.

12xy² is that term containing x.
Coefficient of x is12y².

7x is that term containing x.
xy² is that term containing x.
Coefficient of x is 7.
Coefficient of x is y².

-xy² is that term containing y².
Coefficient of y² is -x.

5y² is that term containing y².
Coefficient of y² is 5.

– 15xy² is that term containing y².
7y² is that term containing y².
Coefficient of y² is -15x.
Coefficient of y² is 7.

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IDENTIFY LIKE AND UNLIKE TERMS WORKSHEET

Answer Key

Answer Key

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