Identify the like terms in the expression 4 x + 2 y − 3 x + z 4x\ +\ 2y\ -\ 3x\ +\ z 4 x + 2 y − 3 x + z

4 x a n d − 3 x o n l y 4x\ and\ -3x\ only 4 x a n d − 3 x o n l y

2 y a n d z o n l y 2y\ and\ z\ only 2 y a n d z o n l y

A l l a r e l i k e t e r m s . All\ are\ like\ terms. A l l a r e l i k e t e r m s .

Identify the like terms in the expression: 8 − 9 k + k + 2 8\ -9k\ +\ k\ +\ 2 8 − 9 k + k + 2

− 9 k a n d k a l s o 8 a n d 2 -9k\ and\ k\ also\ 8\ and\ 2 − 9 k a n d k a l s o 8 a n d 2

8 a n d 2 o n l y 8\ and\ 2\ only 8 a n d 2 o n l y

− 9 k a n d k o n l y -9k\ and\ k\ only − 9 k a n d k o n l y

Simplify the expression; 3 + 4 y + 5 y − 2 z 3+4y+5y\ −\ 2z 3 + 4 y + 5 y − 2 z

9 y − 2 z + 3 9y\ -\ 2z\ +3 9 y − 2 z + 3

9 y − 7 z 9y\ -\ 7z 9 y − 7 z

The first step to subtract the expressions; ( 2 x + 5 ) − ( 5 x + 2 ) (2x+5)-(5x+2) ( 2 x + 5 ) − ( 5 x + 2 ) is to rewrite the second expression by

changing the subtraction sign to an addition sign.

make the terms in the second expression opposite.

Rewrite the expression ( 2 x + 5 ) − ( 5 x + 2 ) \left(2x\ +\ 5\right)\ -\ \left(5x\ +\ 2\right) ( 2 x + 5 ) − ( 5 x + 2 )

( 2 x + 5 ) + ( − 5 x − 2 ) \left(2x\ +\ 5\right)\ +\ \left(-5x\ -\ 2\right) ( 2 x + 5 ) + ( − 5 x − 2 )

( 2 x + 5 ) − ( 5 x + 2 ) \left(2x\ +\ 5\right)\ -\ \left(5x\ +\ 2\right) ( 2 x + 5 ) − ( 5 x + 2 )

( 2 x + 5 ) + ( 5 x + 2 ) \left(2x\ +\ 5\right)\ +\ \left(5x\ +\ 2\right) ( 2 x + 5 ) + ( 5 x + 2 )

Identify the like terms; (2 x + 5) + (−5 x − 2)

( 2 x a n d − 5 x ) a l s o ( 5 a n d − 2 ) \left(2x\ and\ -5x\right)\ also\ \left(5\ and\ -2\right) ( 2 x a n d − 5 x ) a l s o ( 5 a n d − 2 )

2 x a n d − 5 x 2x\ and\ -5x 2 x a n d − 5 x

5 a n d − 2 5\ and\ -2 5 a n d − 2

( 2 x + 5 ) + ( − 5 x − 2 ) \left(2x\ +\ 5\right)\ +\ \left(-5x\ -\ 2\right) ( 2 x + 5 ) + ( − 5 x − 2 ) Group the like terms

( 2 x − 5 x ) + ( 5 − 2 ) \left(2x\ -\ 5x\right)\ +\ \left(5\ -\ 2\right) ( 2 x − 5 x ) + ( 5 − 2 )

( 2 x − 2 ) + ( − 5 x + 5 ) \left(2x\ -\ 2\right)\ +\ \left(-5x\ +\ 5\right) ( 2 x − 2 ) + ( − 5 x + 5 )

The like terms are already grouped together.

( 2 x + 5 ) − ( 5 x + 2 ) \left(2x\ +\ 5\right)\ -\ \left(5x\ +\ 2\right) ( 2 x + 5 ) − ( 5 x + 2 ) Simplify the expression;

− 3 x + 3 -3x\ +\ 3 − 3 x + 3

− 7 x − 7 -7x\ -\ 7 − 7 x − 7

7 x − 7 x 7x\ -\ 7x 7 x − 7 x

The Distributive Property states

multiply each term in the parentheses by the factor outside the parentheses.

do the addition or subtraction in the parentheses first.

Simplify the expression 5 ( 2 x + 4 ) 5\left(2x\ +\ 4\right) 5 ( 2 x + 4 )

10 x + 20 10x\ +\ 20 1 0 x + 2 0

Simplify the expression 3 ( 2 x + 6 ) + ( 4 x + 5 ) 3(2x+6)+(4x+5) 3 ( 2 x + 6 ) + ( 4 x + 5 )

10 x + 23 10x\ +\ 23 1 0 x + 2 3

24 x + 33 24x\ +\ 33 2 4 x + 3 3

Simplify the expression − 3 ( 8 + 6 n − 4 ) -3(8+6n−4) − 3 ( 8 + 6 n − 4 )

− 18 n − 12 -18n\ -\ 12 − 1 8 n − 1 2

24 + 18 n 24\ +\ 18n 2 4 + 1 8 n

− 36 n − 18 -36n\ -\ 18 − 3 6 n − 1 8

Algebraic Expressions

Authored by Glenn Green

Mathematics

7th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following is a linear expression:

$2x^2\ +\ 3x\ +\ 4y$

$2x\ +\ 3y\ +\ 2z$

Both are linear expressions

Tags

CCSS.HSF.LE.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Identify the like terms in the expression

$4x\ +\ 2y\ -\ 3x\ +\ z$

$4x\ and\ -3x\ only$

$2y\ and\ z\ only$

$All\ are\ like\ terms.$

Tags

CCSS.6.EE.A.2B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Identify the like terms in the expression:

$8\ -9k\ +\ k\ +\ 2$

$8\ and\ 2\ only$

$-9k\ and\ k\ only$

$-9k\ and\ k\ also\ 8\ and\ 2$

Tags

CCSS.6.EE.A.2B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The first step to simplify the expression

$3+4y+5y\ -\ 2z$ is to;

identify the like terms.

combine the like terms.

rewrite the expression.

Tags

CCSS.7.EE.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The second step to simplify the expression

$3+4y+5y\ -\ 2z$ is to;

identify the like terms.

group the like terms.

rewrite the expression.

Tags

CCSS.7.EE.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression;

$3+4y+5y\ −\ 2z$

$14yz$

$9y\ -\ 7z$

$9y\ -\ 2z\ +3$

Tags

CCSS.7.EE.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The first step to add the expressions;
$\left(2x\ +\ 5\right)\ +\ \left(5x\ +\ 2\right)$ is to

identify the like terms.

group the like terms.

combine the like terms.

Tags

CCSS.HSA.APR.A.1

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expressions;

(2x + 5) + (5x + 2)

$20x$

$10x\ +\ 10$

$7x\ +\ 7$

Tags

CCSS.7.EE.A.1

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Algebraic Expressions

Which of the following is a linear expression:

Identify the like terms in the expression

$4x\ +\ 2y\ -\ 3x\ +\ z$

Identify the like terms in the expression:

$8\ -9k\ +\ k\ +\ 2$

The first step to simplify the expression

$3+4y+5y\ -\ 2z$ is to;

The second step to simplify the expression

$3+4y+5y\ -\ 2z$ is to;

Simplify the expression;

$3+4y+5y\ −\ 2z$

The first step to add the expressions;
$\left(2x\ +\ 5\right)\ +\ \left(5x\ +\ 2\right)$ is to

The second step to add the expressions;
(2x + 5) + (5x + 2) is to

The third step to add the expressions;
(2x + 5) + (5x + 2) is to

Simplify the expressions;

(2x + 5) + (5x + 2)

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Algebraic Expressions

Which of the following is a linear expression:

Identify the like terms in the expression 4x + 2y − 3x + z4x\ +\ 2y\ -\ 3x\ +\ z4x + 2y − 3x + z

Identify the like terms in the expression: 8 −9k + k + 28\ -9k\ +\ k\ +\ 28 −9k + k + 2

The first step to simplify the expression 3+4y+5y − 2z3+4y+5y\ -\ 2z3+4y+5y − 2z is to;

The second step to simplify the expression 3+4y+5y − 2z3+4y+5y\ -\ 2z3+4y+5y − 2z is to;

Simplify the expression; 3+4y+5y − 2z3+4y+5y\ −\ 2z3+4y+5y − 2z

The first step to add the expressions; (2x + 5) + (5x + 2)\left(2x\ +\ 5\right)\ +\ \left(5x\ +\ 2\right)(2x + 5) + (5x + 2) is to

The second step to add the expressions;(2x + 5) + (5x + 2) is to

The third step to add the expressions;(2x + 5) + (5x + 2) is to

Simplify the expressions;(2x + 5) + (5x + 2)

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Identify the like terms in the expression

$4x\ +\ 2y\ -\ 3x\ +\ z$

Identify the like terms in the expression:

$8\ -9k\ +\ k\ +\ 2$

The first step to simplify the expression

$3+4y+5y\ -\ 2z$ is to;

The second step to simplify the expression

$3+4y+5y\ -\ 2z$ is to;

Simplify the expression;

$3+4y+5y\ −\ 2z$

The first step to add the expressions;
$\left(2x\ +\ 5\right)\ +\ \left(5x\ +\ 2\right)$ is to

The second step to add the expressions;
(2x + 5) + (5x + 2) is to

The third step to add the expressions;
(2x + 5) + (5x + 2) is to

Simplify the expressions;

(2x + 5) + (5x + 2)