Algebraic Expressions and Equations: Interactive Learning Quizzes

Question 1

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

Accepted Answer

5x - 4y

Answer

5x - y

Answer

4x + 5y

Question 2

Factorize the expression: x² - 9

Accepted Answer

(x - 3)(x + 3)

Answer

(x - 9)(x + 9)

Question 3

Solve the linear equation: 2(x - 1) = 10

Accepted Answer

x = 5

Question 4

Solve the simultaneous equations: x + y = 5, x - y = 1

Accepted Answer

x = 3, y = 2

Question 5

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

Accepted Answer

x² - 5x + 6

Answer

x² + 5x + 6

Question 6

Simplify the expression: √(49x²) / √(x)

Accepted Answer

7|x|

Answer

|7x|

Question 7

Factorize the algebraic expression: x^2 - 4

Accepted Answer

(x - 2)(x + 2)

Answer

(x - 4)(x + 4)

Answer

(x + 2)^2

Answer

(x - 2)^2

Question 8

Solve the inequality: 2x - 5 > 7

Accepted Answer

x > 6

Answer

x < 6

Answer

x > 1

Answer

x < 1

Question 9

What is the algebraic expression for the area of a rectangle with length 'l' and width 'w'?

Accepted Answer

lw

Answer

l + w

Answer

l - w

Question 10

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

Accepted Answer

-3x + 5y

Answer

3x + 5y

Answer

-3x + 2y

Answer

3x + 2y

Question 11

Factorise the expression: x^2 - 4

Accepted Answer

(x + 2)(x - 2)

Answer

(x - 2)(x - 2)

Answer

(x + 4)(x - 4)

Answer

(x + 2)(x + 2)

Question 12

Which of the following is not an inequality?

Accepted Answer

3y - 2 = 7

Answer

2x + 5 < 15

Answer

x^2 - 4 < 0

Answer

x + y > 5

Question 13

Find the gradient of the line passing through the points (2, 5) and (4, 9)

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 14

Solve the following inequality: 3x-2 > 8

Accepted Answer

x > 10/3

Answer

x > 3

Answer

x < 3

Answer

x < 10/3

Question 15

Find the value of x that satisfies the inequality: 3x - 2 < 10

Accepted Answer

x < 4

Answer

x > 4

Answer

x < 3

Answer

x > 3

Question 16

Solve for x: |x - 2| = 3

Accepted Answer

x = -1 or x = 5

Answer

x = 1 or x = 5

Answer

x = -1 or x = -5

Answer

x = 1 or x = -5

Question 17

Solve for x: 3x - 5 = 10

Accepted Answer

x = 5

Answer

x = 1

Answer

x = 15

Answer

x = 50

Question 18

Find the value of x that satisfies the inequality: x - 3 < 5

Accepted Answer

x < 2

Answer

x < 8

Answer

x > -2

Answer

x > 8

Question 19

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

Accepted Answer

4x^2 - 4x + 1

Answer

4x^2 + 4x + 1

Answer

2x^2 - 4x + 1

Answer

2x^2 + 4x + 1

Question 20

Solve for x in the quadratic equation: x^2 - 5x + 6 = 0

Accepted Answer

x = 2, x = 3

Answer

x = -2, x = -3

Answer

x = 1, x = 6

Answer

x = -1, x = -6

Question 21

Simplify the algebraic expression: 3x + 2y - 5x + 4y

Accepted Answer

-2x + 6y

Answer

8x - 2y

Answer

8x + 6y

Answer

-2x - 2y

Question 22

Factorize the expression: x² - 9

Accepted Answer

(x + 3)(x - 3)

Answer

(x - 3)²

Answer

(x + 9)(x - 1)

Answer

(x - 9)(x + 1)

Question 23

Solve for x in the equation: 2x + 5 = 11

Accepted Answer

x = 3

Answer

x = 2

Answer

x = -3

Answer

x = 8

Question 24

Find the roots of the quadratic equation: x² - 5x + 6 = 0

Accepted Answer

x = 2 or x = 3

Answer

x = -2 or x = -3

Answer

x = 1 or x = 6

Answer

x = -1 or x = -6

Question 25

Which of the following pairs is a solution to the simultaneous equations: 2x + y = 7 and x - y = 2?

Accepted Answer

x = 3, y = 1

Answer

x = 2, y = 3

Answer

x = 4, y = -1

Answer

x = 1, y = 3

Question 26

Simplify the expression: (2x³y²)(3xy⁴)

Accepted Answer

6x⁴y⁶

Answer

6x³y⁸

Answer

5x³y⁶

Answer

5x⁴y⁸

Question 27

A rectangular garden has a length of (x + 5) meters and a width of (x - 2) meters. What is the area of the garden in square meters?

Accepted Answer

x² + 3x - 10

Answer

2x + 3

Answer

x² - 10

Answer

x² + 7x - 10

Question 28

A nurse needs to administer a medication dosage of 0.5mg per kg of body weight. If a patient weighs 70kg, what is the total dosage in milligrams?

Accepted Answer

35mg

Answer

3.5mg

Answer

70.5mg

Answer

140mg

Question 29

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

Accepted Answer

2x + 7y

Answer

x + 3y

Answer

4x + 3y

Answer

5x + 9y

Question 30

Evaluate the expression 2x - 3y when x = 4 and y = 2.

Accepted Answer

2

Answer

8

Answer

-8

Answer

-2

Question 31

Which of the following is an inequality representing the statement: **"The number x is greater than or equal to 5"**?

Accepted Answer

**x ≥ 5**

Answer

**x > 5**

Answer

**x ≤ 5**

Answer

**5 ≥ x**

Question 32

Solve the inequality: **2x - 3 < 7**

Accepted Answer

**x < 5**

Answer

**x ≤ 5**

Answer

**x > 5**

Question 33

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

Accepted Answer

**2x + 7y**

Answer

**4x + 2y**

Answer

**5x + 9y**

Answer

**x + 3y**

Question 34

Find the value of x that makes the equation true: **2(x - 3) = 10**

Accepted Answer

**8**

Answer

**12**

Answer

**15**

Answer

**5**

Question 35

Solve the system of equations: **x + y = 5, x - y = 1**

Accepted Answer

**x = 3, y = 2**

Answer

**x = 0, y = 5**

Answer

**x = 5, y = 0**

Answer

**x = 2, y = 3**

Question 36

Find the value of k that makes the inequality true for all values of x: **x² + kx + 9 > 0**

Accepted Answer

**k < -6 or k > -2**

Answer

**k > -6 and k < -2**

Answer

**k < 6 or k > 2**

Answer

**k > 6 and k < 2**

Question 37

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

Accepted Answer

x^2 - x - 6

Answer

x^2 + 3x - 6

Answer

x^2 + x - 6

Answer

x^2 - 3x - 6

Question 38

Evaluate the expression: |x - 5| when x = -2

Accepted Answer

7

Answer

5

Answer

-7

Answer

-5

Question 39

Solve the equation: sqrt(x + 1) = 4

Accepted Answer

15

Answer

16

Answer

5

Answer

9

Question 40

Simplify the expression: (2x^2y)^3

Accepted Answer

8x^6y^3

Answer

8x^5y^2

Answer

4x^6y^3

Answer

2x^5y^3