Identifying
Simplifying
Adding & Subtracting
Evaluating
Expanding & Factoring
Writing Algebraic Expressions
100

What are the variables in the following algebraic expression?

2y+4z+7+2x+7y+2+4z

x, y, z

100

Simplify the expression:

4x + 9 + 2x - 3


6x+6

100

Find the sum of the two groups: (3x + 5) and (4x + 2).

 

7x+7

 

100

What is the value of the expression x + 12 when x = 5

17

100

Expand the expression 5(x + 3).

5x+15

100

The expression 5x + 25 represents the area of the figure below.

Write another expression for the area of the figure. 

5(x+5)

200

What is the ONE constant in the following algebraic expression?

3x+2y+20-6+3-5+3-9

6

200

Simplify the expression:

5(y - 3) + 7y


12y-3

200

Add the two algebraic expressions: 

(2a + 3b) + (6a - b).

8a+2b

200

Evaluate the expression 3y - 7 when y = 10

23

200

Completely factor the expression 4y - 12.

4(y-3)

200

To save costs, Gavin decides to decrease the size of the house he is building. The original house dimensions were to be 20 ft by 30 ft on the blueprint. Gavin is now reducing each dimension by 10%. Write an expression that can be used to represent the new house dimensions?.

.

20(0.9) by 30(0.9) 

and 

20 - 20(0.1) by 30 - 30(0.1)

300

What are the coefficients in the following algebraic expression?

5x+12y-6z+4j-9r+7i+4

5, 12, -6, 4, -9, 7

300

Simplify the expression:

10a + 4(3a - 5) - a


21a-20

300

Subtract: 

(9y + 11) - (5y - 4).

4y+15

300

Evaluate: 2a + 4b when a = 6 and b = 3

24

300

Expand the expression -2(3a - 5).

-6a+10

300

Elana walked 20 minutes more than Lyric. Kennedy walked twice as long as Elana.The expression 2(x + 20) describes this situation. Write an expression to represent how long Lyric walked. 

x

400

How many terms will be in the simplified algebraic expression?

12x+10x+7+6y+4z+13+3y+12z+8y+12j+6r+10x+4j+7r+5

6 terms

400

Simplify the expression:

7m - 3n - (2m - 5n) + 8


5m+2n+8

400

Subtract:

(7p - 2q + 6) - (3p + 5q - 1)

4p-7q+7

400

Determine the value of the expression  m^2-5n  when m = 4 and n = 2

6

400

Factor the expression 6x + 9xy.

3x(2+3y)

400

A phrase is written below

twelve less than three times the sum of a number and nine

Which algebraic expression represents this phrase?

3(n+9)-12

500

Consider the algebraic expression: 10x - 3(4x + 7) + 5

After you simplify this expression, what is the constant term and the coefficient of the variable x?

Constant: -16

Coefficient: -2

500

Simplify the given algebraic expression:

1/2(10x+20)-7(x+2)

-2x-4

500

On Saturday, Lukas drove 6x − 3 miles. On Sunday, he drove 5x − 2 miles. What is the difference in miles driven from Saturday to Sunday?

x-1

500

What is the value of the expression  1/2(4z-10)-w^2  when z = -3 and w = 5?

-36

500

Four students factor the original expression   21x - 7y

Which students factored correctly?

Harmony & Krivi

500

A store offers 30% off all items. Let x = the original purchase price. Write two expressions which represent the sale price.

x-0.3x

0.7x

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