Variables and Expressions: Master Algebra Basics with Interactive Quizzes

Question 1

Translate the phrase '5 more than twice a number' into an algebraic expression:

Accepted Answer

2x + 5

Answer

2x - 5

Answer

5x + 2

Answer

5x - 2

Question 2

Which variable represents an unknown value of 10?

Accepted Answer

x = 10

Answer

y - 10 = 0

Answer

10 - z = 0

Question 3

Solve for x: x + 5 = 12

Accepted Answer

x = 7

Answer

x = 17

Answer

x = 5

Question 4

Which expression is equivalent to 2(x - 3)?

Accepted Answer

2x - 6

Answer

2x - 3

Answer

3 - 2x

Question 5

Simplify the expression: (3x)(2x) - 5x

Accepted Answer

6x^2 - 5x

Answer

6x^2 + 5x

Answer

5x^2 - 6x

Question 6

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

Accepted Answer

x^2 - x - 6

Answer

x^2 + x - 6

Answer

x^2 - 5x - 6

Question 7

Solve for y: 3y - 6 = 12

Accepted Answer

y = 4

Answer

y = 6

Answer

y = 2

Question 8

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

Accepted Answer

x + 5y

Answer

3x + 5y

Answer

4x + 4y

Answer

Cannot be simplified

Question 9

What is the degree of the polynomial expression: 2x cubed - 5x + 1?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 10

Which expression is a monomial?

Accepted Answer

xy

Answer

x + y

Answer

x - 2

Answer

2x squared + 3y

Question 11

What is the constant term in the expression: 3x squared - 2x + 5?

Accepted Answer

5

Answer

3

Answer

-2

Answer

0

Question 12

Which of the following is a variable?

Accepted Answer

x

Answer

5

Answer

=

Answer

+

Question 13

Translate the phrase 'The sum of a number and 7' into an algebraic expression

Accepted Answer

n + 7

Answer

7 + n

Answer

7 - n

Answer

n - 7

Question 14

Identify the coefficient of the term 3x in the expression 3x - 5y

Accepted Answer

3

Answer

-5

Answer

x

Answer

y

Question 15

Which of the following is a constant?

Accepted Answer

5

Answer

x

Answer

y

Answer

z

Question 16

Which of the following expressions represents the area of a rectangle with length L and width W?

Accepted Answer

L * W

Answer

L + W

Answer

L - W

Answer

L / W

Question 17

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

Accepted Answer

5x - 5

Answer

5x + 5

Answer

x - 5

Answer

x + 5

Question 18

Which of the following is a variable?

Accepted Answer

x

Answer

10

Answer

3.14

Answer

true

Question 19

Which equation represents a linear relationship between the number of hours worked (h) and the amount earned (e) at a rate of $10 per hour?

Accepted Answer

e = 10h

Answer

h = 10e

Answer

e = h + 10

Answer

h = e - 10

Question 20

Which of the following cannot be a variable?

Accepted Answer

The number 2

Answer

X

Answer

Y

Answer

Z

Question 21

Which of these expressions is equivalent to 2(x + 5)?

Accepted Answer

2x + 10

Answer

x + 10

Answer

2x + 5

Answer

4x + 10

Question 22

Evaluate the expression 3xy - 2x + y, given x = 2 and y = -1.

Accepted Answer

-5

Answer

-3

Answer

-1

Answer

1

Question 23

Which of the following is an example of an application of algebra in everyday life?

Accepted Answer

Calculating the area of a room

Answer

Predicting the weather

Answer

Playing a game of chess

Answer

Writing a poem

Question 24

Which of the following represents an unknown value that can change?

Accepted Answer

x

Answer

3

Answer

10.5

Answer

y = 2

Question 25

Simplify the expression: 2x + 5 - x

Accepted Answer

x + 5

Answer

x - 5

Answer

3x

Answer

5x

Question 26

What is the equivalent expression to 2(3y - 2)?

Accepted Answer

6y - 4

Answer

6y + 4

Answer

9y - 4

Answer

3y - 4

Question 27

Solve for x: x - 5 = 10

Accepted Answer

15

Answer

5

Answer

25

Answer

35

Question 28

Evaluate the expression: 3x^2 - 5y when x = 3 and y = 2

Accepted Answer

22

Answer

14

Answer

34

Answer

46

Question 29

The formula for the area of a triangle is A = 1/2 * b * h. If the area is 36 square units and the height is 9 units, what is the base?

Accepted Answer

4 units

Answer

2 units

Answer

8 units

Answer

16 units

Question 30

In the expression 2x + 5, what is the coefficient of x?

Accepted Answer

2

Answer

5

Answer

x

Answer

Cannot be determined

Question 31

Which of the following is an example of a variable?

Accepted Answer

y

Answer

15

Answer

abcd

Answer

5xyz

Question 32

What is the result of the expression (3 + x)²?

Accepted Answer

9 + 6x + x²

Answer

6 + x²

Answer

9 + x

Answer

3 + x

Question 33

Which of these is not a property of variables?

Accepted Answer

They are always positive.

Answer

They represent unknown values.

Answer

They can be any letter of the alphabet.

Answer

They can change their value.

Question 34

Which expression contains a variable?

Accepted Answer

2x + 5

Answer

5

Answer

x = 10

Answer

5^2

Question 35

Simplify: 3x + 2y - x + y

Accepted Answer

2x + 3y

Answer

4x + 3y

Answer

2x + y

Answer

3x - y

Question 36

Find the value of 2a - 5 when a = 3

Accepted Answer

1

Answer

-1

Answer

3

Answer

5

Question 37

Which represents adding 5 to a number?

Accepted Answer

x + 5

Answer

5 + x

Answer

x - 5

Answer

5 - x

Question 38

The perimeter of a rectangle is 2x + 5 units. If its length is x units, what's its width?

Accepted Answer

x + 2.5 units

Answer

2.5 units

Answer

5 units

Answer

x units

Question 39

Which is a linear expression?

Accepted Answer

5x - 3

Answer

x^2 + 2x

Answer

x/2

Answer

sqrt(x)

Question 40

Solve for x: 3(x - 2) = 9

Accepted Answer

x = 5

Answer

x = 3

Answer

x = 7

Answer

x = 9

Question 41

Which expression represents the sum of twice a number and 5?

Accepted Answer

2n + 5

Answer

5n + 2

Answer

n + 10

Answer

10n

Question 42

Which of the following represents the perimeter of a rectangle with length x and width 5?

Accepted Answer

2(x + 5)

Answer

2x + 5

Answer

x + 5

Answer

5x + 2

Question 43

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

Accepted Answer

x^2 + 5x - 6

Answer

x^2 - 5x - 6

Answer

x^2 + x - 6

Answer

x^2 - x - 6

Question 44

Factor the expression: x^2 - 9

Accepted Answer

(x + 3)(x - 3)

Answer

(x - 3)^2

Answer

(x + 9)(x - 9)

Answer

Cannot be factored

Question 45

Which of the following is the graph of the equation y = 2x + 1?

Accepted Answer

A straight line with a slope of 2 and a y-intercept of 1

Answer

A straight line with a slope of 1 and a y-intercept of 2

Answer

A parabola with a vertex at (2, 1)

Answer

A circle with a radius of 1

Question 46

In the expression -3x + 2y, what is the coefficient of x?

Accepted Answer

-3

Answer

3

Answer

2

Answer

-2

Question 47

Write an algebraic expression that represents the sum of 5 and twice a number x.

Accepted Answer

5 + 2x

Answer

5x

Answer

2 + 5x

Answer

5x + 2

Question 48

Which of these is an algebraic expression?

Accepted Answer

2x + 3y

Answer

5 apples

Answer

The sum of two numbers

Answer

10 - 5

Question 49

Identify the constant term in the expression: 3x - 2y + 5

Accepted Answer

5

Answer

3

Answer

-2

Answer

0

Question 50

Which expression is a monomial?

Accepted Answer

5

Answer

2x + 3y

Answer

x - 2

Answer

3xy

Question 51

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

Accepted Answer

3x + 2

Answer

3x - 2

Answer

x + 8

Answer

x - 2