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Algebraic expressions (Translation & Degree)

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Translate this phrase into an algebraic expression.

8 less than the product of 4 and a number

Use the variable m to represent the unknown number.

a)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8

2.

Write an algebraic expression for:

three times a number plus 16

a)

3(16) + n

b)

16n + 3

c)

3n + 16

3.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 − y + 5

4.

a number more than 12

a)

x ÷ 12

b)

12n

c)

12 + n

d)

12 - n

5.

m plus the product of 6 and n

a)

m + 6n

b)

m − 6 + n

c)

6m + n

d)

m + 6 + n

6.

"Subtracted from" and "less than" are terms that mean you need to "turn around" or "flip" the terms around.

a)

True

b)

False

7.

A number squared increased by 1

a)

1 + √2

b)

x2 + 1

c)

x2 − 1

d)

√2 + 1

8.

The difference of a number and 7

a)

7 − x

b)

x + 7

c)

x/7

d)

x − 7

9.

m plus the product of 6 and n

a)

m + 6n

b)

m − 6 + n

c)

6m + n

d)

m + 6 + n

10.

Translate the phrase into an algebraic expression

"57 more than 3 times Kate's score" Use the variable g to represent Kate's score.

a)

57g + 3

b)

3g + 57

c)

3g − 57

d)

57 + 3g

11.

Kalia buys 5 items that cost d dollars each. She gives the cashier $60. Which expression represents the change she should receive?

a)

60 − 5d

b)

60 − d

c)

60 + 5d

d)

5d − 60

12.
What is the constant in the polynomial x2-2x+5?
a)
1
b)
2
c)
5
d)
0
13.
Which of the following is a 5th degree trinomial with a leading coefficient of -2? 
a)
-2x5 + 3x - 1
b)
5x-2 +3x - 1
c)
-2x5 + 3x4 + 2x3 + x2 - 10
d)
2x + 5
14.
What is the leading coefficient in the polynomial 3x2-2x+5?
a)
3
b)
2
c)
5
d)
0
15.

What is the Degree of the Polynomial? 5x3 - 6x + 1

a)

Linear 

b)

Quadratic

c)

Cubic

d)

Quartic

16.
What is the correct name of the following:
3xy + 4x + 5y + 6
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
17.
Classify by the DEGREE:
4x3 - 5x2 + 2x - 1
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
18.
Classify by the DEGREE:
2x2 - 5
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
19.
Classify by the DEGREE:
3x - 2
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
20.
When a polynomial is written in standard form, the coefficient of the first term is called the _____________.
a)
Boss coefficient
b)
Leading coefficient
c)
Best coefficient
d)
Greatest common coefficient