Algebraic Expressions (7th Grade)

Order of Operations

100

2(3 + 1) - 12

-4

200

4.7 x (-8 + 4)

-18.8

300

Brayden's work finding the value of the expression 10 + 2.5(3 + -5) is shown below. Explain what he did wrong.

Problem:    10 + 2.5(3 + -5)

Step 1:       12.5(3 + -5)

Step 2:        12.5(-2)

Answer:           -25

Step 1 he did GEMDAS incorrectly. Added first/ solved left to right.

400

(-2 - 4)^2/((5-3))

18

500

Identify all expressions equivalent to 

2/3 times 6 divide 2 - 1

A. 1/4

B. 2/3 times 2

C. 5 divide 5

D. 4 divide 2 - 1

C & D

600

7 + 9 x -2³ - 20 + (-7)

-92

Simplify

100

Simplify

3(8x - 1)

24x - 3

200

Simplify

-7(2x - 3)

-14x + 21

300

Simplify

6x - 5 + 7 - 4x + 5    

2x + 7

400

Simplify

12 - 2y - 3 - 4y + y    

-5y + 9

500

 Simplify

 1/2(18x + 6) - 5x + 12

4x + 15

600

 Simplify

 -4(-x + 3) - 7x - 6

-3x - 18

Select the Expression

100

Select all expressions equivalent to 8x - 40.

A.    8(x – 5)

B.    2(4x – 40)

C.    2(4x – 20)

D.    4(2x + 10)

A & C

200

Which expression is equivalent to 5(x + 1) - 7 ?

A.   5x - 12

B.   5x + 2

C.   5x + 12

D.   5x - 2

D

300

Are the given expressions equivalent to  -4(-2 + x)

(Make Yes/No Table)

8 - 4x

-4x + 8

-4x - 8

-4x + 6

A & B

400

Select all expressions that are equivalent to 4x + 2x + 9 - 3x - 4.

A.    3x + 13 

B.    3x + 5 

C.    6x - 3x + 5 

D.    6x - 3x + 13     

B & C

500

Select the expression equivalent to (-4x + 7.4y) - (-8x + 2.9y).

A. 4x + 4.5y

B. -12x + 4.5y

C. 4x + 10.3y

D. -12x + 10.3y

A

600

Select the expression equivalent to (-5x + 1/2y) - (-2x + 3.6y).

A. -3x + 4.1y

B. -3x - 4.1y

C. -7x - 3.1y

D. -3x - 3.1y

D

Enter the Value

100

Enter the value of b when the expression -12x + b is equivalent to 3(-4x + 5). 

 b = _____

b = 15

200

Enter the value of p so that the expression 2(8 + n) is equivalent to 2(n + p).    

 p = _____

p = 8

300

Determine the value of n so that the expression                 (6y + 4) + (3y + 10) is equivalent to (ny + 14).

    n = _____

n = 9

400

Enter the value of p so that the expression 12 + 6n is equivalent to p(3 + 1.5n).    

 p = _____

p = 4

500

Determine the value of n so that the expression                  (10y - 2) - (-y - 8) is equivalent to (ny + 6).

    n = _____

n = 11

600

Enter the value of p so that the expression 5n + 15n² is equivalent to p(3n + 1).  

 p = _____

p = 5n