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T2a Assessment Algebraic Expressions & Simplification

Total questions: 40

Worksheet time: 2hrs 37mins

Name
Class
Date
1.

Expand  x(3xy)x(3x-y)  . 

a)

 3x2xy3x^2-xy  

b)

 3x2+xy3x^2+xy  

c)

I don’t know 😓

2.
Which expression matches:
The sum of 6 and 5 doubled
a)
2 x 6 + 5
b)
2 x (6 + 5)
c)
6 + (5 x 2)
3.

Adding 2x + 3y to 4y + 3x gives

a)

5x + 6y

b)

5x + 7y

c)

5x + 8y

d)

5x + 4y

4.

Simplifying the following: x + 7 - 3x - 8

a)

-2x - 2

b)

-x - 7

c)

-2x - 1

d)

-2x - 3

5.

a+a

a)

2a

b)

a2

6.

axa

a)

2a

b)

a2

7.

4a+2a

a)

6a

b)

8a

8.

3b x 2b

a)

5b

b)

6b

c)

6b2

d)

5b2

9.

3a + 4b + 6a + 2b

a)

8a +9b

b)

6a + 9b

c)

7a + 8b

d)

9a + 6b

10.

7a + 5b - 2a - 4b

a)

9a + b

b)

5a + b

c)

11a + 5b

d)

-9a - 9b

11.

12a - 4b -7a + 2b

a)

14a +5b

b)

5a - 2b

c)

7a - 5b

d)

12a - 4b

12.

In which of the following, the two expressions are like terms?

a)

7x , 7y7x\ ,\ 7y

b)


7x, 9x7x,\ 9x

c)

7x, 7x27x,\ 7x^2

d)

7x,7x, 7xy7xy

13.

The product of 4x  and  00  is


a)

4x

b)

4

c)

0

d)

None of the above

14.
Which is NOT a word phrase for the algebraic expression.
n + 16
a)
a number increased by 16
b)
16 increased by a number
c)
the sum of a number and 16
d)
16 more than a number
15.
Which is NOT a word phrase for the algebraic expression.
24n
a)
24 times a number
b)
24 times n
c)
the product of 24 and a number
d)
the sum of 24 and a number
16.
Write an algebraic expression for the word phrase.
12 more than (m) machines
a)
12-m
b)
m-12
c)
12+m
d)
m+12
17.
Write an algebraic expression for the word phrase.
six times the daily amount of fiber (f) in your diet
a)
6f
b)
6+f
c)
6/f
d)
6-f
18.
A cell phone company charges $40 per month(m) plus a $35 activation fee. How much would the service cost for the first 2 months(m)?
Hint:
40m+35
a)
$110
b)
$75
c)
$115
d)
$80
19.
Combine the like terms. Simplify.
2x + x - 4y
a)
2x+x-4y
b)
4x+4y
c)
3x-4y
d)
3x+4y
20.
Combine like terms. Simplify. 
11g-9g+8g
a)
10g
b)
9g
c)
2g
d)
11g
21.
Combine like terms. Simplify.
3n – 6mn + 2n
a)
3n-6mn
b)
5n-6mn
c)
5n+6mn
d)
n-6mn
22.
A ______ is a letter which represents an unknown number (quantity). 
a)
expression
b)
variable
c)
term
d)
like term
23.
A _____ contains at least one variable, constant, and operation. 
a)
term
b)
algebraic expression
c)
like term
d)
quadratic equation
24.
g divided by 9
a)
9g
b)
g-9
c)
g/9
d)
9/g
25.
Three times a number increased by nine
a)
3h-9
b)
3(h-9)
c)
3(h+9)
d)
3h+9
26.
The quotient of a number and 8
a)
8g
b)
8/g
c)
g+8
d)
g/8
27.
Three times the sum of 2 and e. 
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
28.
The difference of h and 9 divided by 3.
a)
h-9/3
b)
(n-9)/3
c)
(9-h)/3
d)
9-h/3
29.
The product of 7 and j increased by 3.
a)
3+7j
b)
7j-3
c)
7(j+3)
d)
3j+7
30.
Six divided by the product of -7 and b.
a)
6/b-7
b)
6/-7b
c)
-7b/6
d)
b-7/6
31.
Five times Mike's age increased by 9
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
32.
If I have more 15 Pokemon cards than Austin, which expression shows how many I have?
a)
x-15
b)
x+15
c)
15x
d)
15/x
33.
Amount you have spent if you buy a shirt for $20 and jeans for x dollars
a)
20-x
b)
20+x
c)
x-20
d)
20x
34.
Choose the phrase that matches the expression   21h
a)
21 more friends than expected at the party
b)
21 more horses in the pasture
c)
21 dollars per hour
d)
21 balloons were popped at the party
35.
Name the coefficient of ⅙h
a)
6
b)
h
c)
d)
1
36.
What are the variables of 7x+6y-9
a)
6,7
b)
9
c)
6y, 7x
d)
x, y
37.
Strawberries are $1.95 a pound. Write an expression for p pounds of strawberries. 
a)
$1.95+p
b)
$1.95-p
c)
$1.95/p
d)
$1.95p
38.
Match this word expression with the correct algebraic expression:
a number decreased by 9
a)
n + 9
b)
n - 9
c)
9n
d)
n/9
39.
15 decreased by 4 times a number
a)
4n - 15
b)
15-4n
c)
n- 15 x 4
d)
15 x 4 - n
40.
4 times a number increased by 15
a)
15- 4n
b)
15n + 4
c)
4n - 15
d)
4n + 15