Algebraic Expressions: Master the Basics of Algebra

Question 1

Which expression represents the sum of three consecutive odd numbers?

Accepted Answer

x + 1 + x + 3 + x + 5

Answer

3x + 1

Answer

2x + 5

Answer

x + 2x + 3x

Question 2

Simplify the expression: (3x + 2)(x - 1)

Accepted Answer

3x² - x + 2

Answer

3x² - x - 2

Answer

3x² + x + 2

Answer

3x² + x - 2

Question 3

Solve for x: 2x - 7 = 9

Accepted Answer

8

Answer

2

Answer

16

Answer

32

Question 4

Which expression represents the perimeter of a rectangle with a length of x and a width of y?

Accepted Answer

2x + 2y

Answer

xy

Answer

x - y

Answer

x^2 + y^2

Question 5

Find the value of the expression 3x + 5 when x equals 2

Accepted Answer

11

Answer

7

Answer

17

Answer

25

Question 6

Which of the following expressions is in standard form?

Accepted Answer

2x^2 - 3x + 5

Answer

x^2 - 2x + 3x

Answer

3 + 2x - x^2

Answer

5x - 2x^2 + 3

Question 7

Which of the following is an inequality?

Accepted Answer

x - 3 > 1

Answer

x + 2 = 5

Answer

2x = 6

Answer

y = 3x + 5

Question 8

In the expression 5 + (3 × 2) - 6, what should you do first?

Accepted Answer

Multiply 3 and 2

Answer

Add 5 and 6

Answer

Subtract 6 from the result

Answer

Add 5 to the result

Question 9

Simplify the expression: (2x + 3)(x - 1)

Accepted Answer

2x² - x + 3

Answer

2x² + x - 3

Answer

2x² - 5x + 3

Answer

2x² + 5x + 3

Question 10

What is the greatest common factor of 12x²y³ and 18xy²?

Accepted Answer

6xy

Answer

2x²y

Answer

3x²y²

Answer

9xy³

Question 11

Which of the following is equivalent to the expression 2x² - 5x + 3?

Accepted Answer

(x - 3)(x + 1)

Answer

(x + 3)(x - 1)

Answer

(2x - 3)(x + 1)

Answer

(2x + 3)(x - 1)

Question 12

What is the coefficient of x in the expression 5x² - 3xy + 2y?

Accepted Answer

5

Answer

3

Answer

2

Answer

-3

Question 13

Write the expression 6 + 2x - 3y + 4z in expanded form.

Accepted Answer

6 + 2x - 3y + 4z

Answer

6 + (2x + 3y + 4z)

Answer

6 + 2(x - 3y + 4z)

Answer

6 + (2x - 3y - 4z)

Question 14

Find the greatest common factor (GCF) of the terms 12xy and 18x²y³.

Accepted Answer

6xy

Answer

2xy

Answer

12xy

Answer

18xy

Question 15

Simplify the expression: (a - b)^2.

Accepted Answer

a^2 - 2ab + b^2

Answer

a^2 + 2ab + b^2

Answer

a^2 - b^2

Answer

a^2 + b^2

Question 16

Which of the following is a polynomial?

Accepted Answer

2x^3 - 5x^2 + 3x - 1

Answer

sin(x) + cos(x)

Answer

√x - 2

Answer

x^2 + 1/x

Question 17

Find the degree of the polynomial: 3x^4 - 2x^2 + 5.

Accepted Answer

4

Answer

2

Answer

5

Answer

6

Question 18

Which of the following is a monomial?

Accepted Answer

5a

Answer

x + y

Answer

2x^2 - 3x + 1

Question 19

Simplify the expression: (2x + 3)^0.

Accepted Answer

1

Answer

0

Answer

2x^3 + 3^0

Answer

2x + 3

Question 20

Simplify the expression: 2x - 3y + 5x - 2y

Accepted Answer

**7x - 5y**

Answer

10x - y

Answer

5y - 7x

Answer

5x - y

Question 21

Evaluate the expression: 3(x + 2) - 2(x - 1)

Accepted Answer

**5x + 4**

Answer

-x + 4

Answer

x + 4

Answer

5x - 4

Question 22

Which property is used to simplify the expression: x(2x + 3) = 2x^2 + 3x?

Accepted Answer

**Distributive Property**

Answer

Identity Property

Answer

Commutative Property

Answer

Associative Property

Question 23

Evaluate the expression: 2^3 - 3^2

Accepted Answer

**1**

Answer

-8

Answer

27

Answer

8

Question 24

Simplify the expression: (x + 2)(x - 1)

Accepted Answer

**x^2 + x - 2**

Answer

x^2 - x - 2

Answer

x^2 - x + 2

Answer

x^2 + 2x - 1

Question 25

Which expression is equivalent to 2x + 3y - 4z?

Accepted Answer

**-4z + 2x + 3y**

Answer

3y - 4z + 2x

Answer

2x - 3y + 4z

Answer

-4z + 3y + 2x

Question 26

Evaluate the expression: (2x - 3)^2

Accepted Answer

**4x^2 - 12x + 9**

Answer

2x^2 + 6x + 9

Answer

4x^2 + 12x + 9

Answer

2x^2 - 6x + 9

Question 27

Simplify the expression: (2x - 1)(2x + 1) - x^2

Accepted Answer

**3x^2 - 1**

Answer

3x^2 + 1

Answer

x^2 - 3

Question 28

Which expression is a factor of x^2 - 9?

Accepted Answer

**(x + 3)**

Answer

(x^2 - 3)

Answer

(x - 3)

Answer

(x^2 + 3)

Question 29

Simplify the expression: (2x^2 + 3x - 5) - (x^2 - 2x + 1)

Accepted Answer

**x^2 + 5x - 6**

Answer

x^2 - 5x - 6

Answer

-x^2 - 5x + 6

Answer

-x^2 + 5x - 6

Question 30

Which expression represents the difference between 10x and 5y?

Accepted Answer

10x - 5y

Answer

(10x)(5y)

Answer

5(x - y)

Answer

5y - 10x

Question 31

Which expression is equivalent to 2 + 3x?

Accepted Answer

3x + 2

Answer

6 - x

Answer

x + 6

Answer

x - 5

Question 32

Simplify the expression: 2x(x - 3)

Accepted Answer

2x^2 - 6x

Answer

x^2 - 3x

Answer

x^2 - 6x

Answer

2x^2 + 3x

Question 33

Factor the expression: x^2 - 4

Accepted Answer

(x - 2)(x + 2)

Answer

Cannot be factored

Answer

(x + 2)^2

Answer

(x - 4)^2

Question 34

What is the value of the expression 3a - b when a = 2 and b = -1?

Accepted Answer

7

Answer

5

Answer

-5

Answer

-7

Question 35

Which expression is equivalent to **5(x - 2)**?

Accepted Answer

5x - 10

Answer

5x + 10

Answer

x - 10

Answer

x + 10

Question 36

Evaluate the expression: **-3x^2y^3** for x = -2 and y = 1

Accepted Answer

-24

Answer

24

Answer

-12

Answer

12

Question 37

Simplify the expression: **(2x + 3)^2**

Accepted Answer

4x^2 + 12x + 9

Answer

2x^2 - 6x + 9

Answer

4x^2 - 12x + 9

Answer

2x^2 + 6x + 9

Question 38

Which expression represents the area of a triangle with base b and height h?

Accepted Answer

1/2 bh

Answer

1/4 bh

Answer

bh

Answer

2bh

Question 39

Which expression is factorable?

Accepted Answer

x^2 - 9

Answer

x^2 + 9

Answer

x^3 + 9

Answer

x^3 - 9

Question 40

Which of these is an algebraic expression?

Accepted Answer

5x + 7

Answer

x > 3

Answer

12 - 7 = 5

Answer

The sum of a number and 2

Question 41

What does the expression 2n represent?

Accepted Answer

Twice a number n

Answer

Two more than a number n

Answer

A number n divided by 2

Question 42

If a square has sides of length 's', what is its perimeter?

Accepted Answer

4s

Answer

s²

Answer

s + 4

Answer

4s²

Question 43

Simplify the expression: 8a + 3b - 2a + b

Accepted Answer

6a + 4b

Answer

10a + 4b

Answer

10a + 2b

Answer

6a + 2b

Question 44

A rectangle is 3 units wide and its length is (x + 5) units. What is the rectangle's area?

Accepted Answer

3x + 15

Answer

18x

Answer

3x + 5

Answer

x + 15

Question 45

Which expression is equal to 5(2x - 3)?

Accepted Answer

10x - 15

Answer

7x - 15

Answer

10x - 3

Question 46

If  *a* = 4 and *b* = 2, what is the value of the expression 2*a* + 3*b* - 5?

Accepted Answer

11

Answer

15

Answer

7

Answer

9

Question 47

Which expression is equivalent to 4(*x* + 2)?

Accepted Answer

4*x* + 8

Answer

4*x* + 2

Answer

*x* + 8

Answer

4*x* + 6

Question 48

What is the coefficient of the term 7*y* in the expression 5*x* + 7*y* - 3?

Accepted Answer

7

Answer

1

Answer

-3

Answer

5

Question 49

Which term in the expression 3*x*² + 2*x* - 5 is a constant term?

Accepted Answer

-5

Answer

*x*²

Answer

2

Answer

3

Question 50

Simplify the expression: 6*x*² + 2*x* - 3*x*² + 5*x*

Accepted Answer

3*x*² + 7*x*

Answer

3*x*² + 2*x*

Answer

9*x*² + 2*x*

Answer

9*x*² + 7*x*

Question 51

What is the value of the expression 4*y* - 3 when *y* = 5?

Accepted Answer

17

Answer

11

Answer

20

Answer

14