Algebra for Year 7: Learn and Practice Online

Question 1

Which expression is double the value of (x plus 3)?

Accepted Answer

2x + 6

Answer

2x + 3

Answer

6x + 2

Question 2

Which of the following is an algebraic expression?

Accepted Answer

3 + x

Answer

x equals 5

Answer

The number of apples is 10

Answer

y is larger than 12

Question 3

What does the symbol '=' mean in algebra?

Accepted Answer

Equals

Answer

Greater than

Answer

Less than

Answer

Not equal to

Question 4

Which of the following is a variable? (A quantity that can take different values)

Accepted Answer

x

Answer

5

Answer

10 + y

Answer

2a - b

Question 5

Solve the equation: y - 5 = 10

Accepted Answer

y = 15

Answer

y = 5

Answer

y = 25

Answer

y = 35

Question 6

Which of the following is a solution to the inequality: x < 5? (A value that makes the inequality true)

Accepted Answer

2

Answer

5

Answer

8

Answer

10

Question 7

Factorise the expression: x^2 - 9 (Write the expression as a product of two brackets)

Accepted Answer

(x - 3)(x + 3)

Answer

(x - 9)(x + 1)

Answer

(x + 3)(x - 3)

Answer

(x + 9)(x - 1)

Question 8

Which of the following is a quadratic equation? (An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0)

Accepted Answer

x^2 + 2x - 3 = 0

Answer

x + y = 5

Answer

y = mx + c

Answer

sin(x) = cos(x)

Question 9

What is a variable?

Accepted Answer

A letter that represents a number

Answer

A number that can change

Answer

An equation that has a variable

Answer

A word that describes something

Question 10

Which of these is an algebraic equation?

Accepted Answer

x + 2 = 5

Answer

5 + 3 = 8

Answer

The distance traveled is equal to speed multiplied by time

Answer

The sky is blue

Question 11

Solve for x: x - 7 = 12

Accepted Answer

19

Answer

5

Answer

-5

Answer

-19

Question 12

Which of the following is a variable?

Accepted Answer

x

Answer

5

Answer

100

Answer

a + b

Question 13

Solve for x: 2x - 5 > 7

Accepted Answer

x > 6

Answer

x < 6

Answer

x > -6

Answer

x < -6

Question 14

Which of the following is a linear equation?

Accepted Answer

2x + 5 = 0

Answer

x^2 = 4

Answer

y = x^3

Answer

sin(x) = 0

Question 15

Find the value of y when x = 2 in the equation y = 3x - 4

Accepted Answer

6

Answer

2

Answer

10

Answer

14

Question 16

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

Accepted Answer

2x + 3y

Answer

4x + 3y

Answer

2x + y

Answer

4x + y

Question 17

Solve for x: 2x - 5 = 7

Accepted Answer

x = 6

Answer

x = 1

Answer

x = 2

Answer

x = 12

Question 18

Which of the following is an algebraic equation?

Accepted Answer

x + y = 5

Answer

x = 2

Answer

2x + 1

Answer

5 > 3

Question 19

Translate the following into an algebraic expression: The sum of twice a number and 5

Accepted Answer

2n + 5

Answer

2 + 5n

Answer

n + 5

Answer

n - 5

Question 20

What is the gradient of the line: y = 2x + 1?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 21

Which expression is equivalent to 2x + 3?

Accepted Answer

2(x + 3)

Answer

5x

Answer

x + 6

Answer

x(2 + 3)

Question 22

Find the value of x that makes the equation x - 5 = 10 true.

Accepted Answer

15

Answer

5

Answer

10

Answer

20

Question 23

Translate the following word problem into an equation: I have twice a number, and when I add 5 to it, I get 15.

Accepted Answer

2x + 5 = 15

Answer

x + 5 = 15

Answer

2(x + 5) = 15

Answer

5x + 2 = 15

Question 24

Translate this word problem into an algebraic expression: A number decreased by 5, then doubled

Accepted Answer

2 * (x - 5)

Answer

x - 5 * 2

Answer

5 - 2 * x

Question 25

Simplify the expression: 2(x + 3)

Accepted Answer

2x + 6

Answer

x + 6

Answer

2x + 3

Answer

4x + 6

Question 26

Which of the following is a variable?

Accepted Answer

x

Answer

5

Answer

=

Answer

+

Question 27

Convert the word problem into an algebraic equation: The total of two numbers is 15.

Accepted Answer

x + y = 15

Answer

x - y = 15

Answer

x * y = 15

Answer

x / y = 15

Question 28

Which of the following is a linear equation?

Accepted Answer

y = 2x + 1

Answer

y = x^2

Answer

y = sin(x)

Answer

y = e^x

Question 29

Solve the inequality: 2x - 5 < 10

Accepted Answer

x < 7.5

Answer

x < 5

Answer

x > 5

Answer

x > 7.5

Question 30

What does the variable 'x' represent in the expression 3x + 5?

Accepted Answer

An unknown value

Answer

A number that is being multiplied by 3

Answer

A number that is being added to 5

Answer

The answer to the expression

Question 31

Which of the following is equivalent to 2(x + 5)?

Accepted Answer

2x + 10

Answer

2x + 5

Answer

x + 10

Answer

4x + 5

Question 32

What is the area of a rectangle with a length of 'a' and a width of 'b'?

Accepted Answer

ab

Answer

a + b

Answer

a - b

Answer

2ab

Question 33

Which of the following is the correct order of operations?

Accepted Answer

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Answer

Parentheses, Exponents, Addition, Subtraction, Multiplication, Division

Answer

Multiplication, Division, Parentheses, Exponents, Addition, Subtraction

Answer

Addition, Subtraction, Multiplication, Division, Parentheses, Exponents

Question 34

Which of the following mathematical expressions is an algebraic expression?

Accepted Answer

x - 5

Answer

3 + 4

Answer

The total of two numbers

Answer

The region of a triangle

Question 35

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

Accepted Answer

x + 8y

Answer

x - 2y

Answer

3x + 2y

Answer

x + 5y

Question 36

Solve the equation: 3x - 5 = 10

Accepted Answer

x = 7

Answer

x = 5

Answer

x = 3

Answer

x = 1

Question 37

Which of the following equations is a linear equation?

Accepted Answer

y = 2x + 1

Answer

y = x^2 + 2x

Answer

y = sin(x)

Answer

y = 1/x

Question 38

Graph the linear equation: y = 2x - 1

Accepted Answer

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

Answer

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

Answer

An upward-opening parabola

Answer

A circle

Question 39

Calculate the area of a rectangle with a length of 5 cm and a width of 3 cm.

Accepted Answer

15 cm^2

Answer

8 cm^2

Answer

10 cm^2

Answer

3 cm^2

Question 40

What is x when x + 5 = 12?

Accepted Answer

x = 7

Answer

x = 17

Answer

x = 5

Answer

x = 12

Question 41

What is the number in front of x in the expression: 2x + 5?

Accepted Answer

2

Answer

5

Answer

1

Answer

0

Question 42

Which one is an algebraic expression?

Accepted Answer

2x + 5

Answer

2 + 3

Answer

x = 5

Answer

5 > 10

Question 43

Make this simpler: 2(x + 3) - (x - 2)

Accepted Answer

x + 4

Answer

x + 8

Answer

x - 8

Answer

x - 4

Question 44

Solve the equation: x - 3 = 7

Accepted Answer

x = 4

Answer

x = 10

Answer

x = -4

Answer

x = -10

Question 45

In the equation 3x + 5 = 2x - 1, what is the value of x?

Accepted Answer

x = 6

Answer

x = -6

Answer

x = 4

Answer

x = -4

Question 46

Solve the inequality: 2y - 5 > 3

Accepted Answer

y > 4

Answer

y < 4

Answer

y > -4

Answer

y < -4

Question 47

A rectangle has a length of x and a width of 5. What is its perimeter?

Accepted Answer

2x + 10

Answer

2x + 5

Answer

x + 10

Answer

x + 5

Question 48

Which of the following is a polynomial?

Accepted Answer

x^2 - 5x + 2

Answer

2x + 3

Answer

1/(x - 2)

Answer

sin(x)

Question 49

Which of these expressions is considered algebraic?

Accepted Answer

x - 5

Answer

5 + 3

Answer

The total of two numbers

Answer

A value greater than 10

Question 50

Simplify the expression: 3(x + 2)

Accepted Answer

3x + 6

Answer

3x + 2

Answer

x + 6

Answer

x + 2

Question 51

Find the value of x: x + 5 = 10

Accepted Answer

x = 5

Answer

x = 10

Answer

x = 15

Answer

x = 20

Question 52

Which of the following is an equation?

Accepted Answer

x + 5 = 10

Answer

x = 5

Answer

The total of two numbers is 10

Answer

x is greater than 5

Question 53

Which of these is an example of a variable?

Accepted Answer

x

Answer

5

Answer

The total of two numbers

Answer

A value greater than 10

Question 54

Solve for x: 2(x + 5) = 20

Accepted Answer

x = 10

Answer

x = 0

Answer

x = 5

Answer

x = 15

Question 55

Which of the following is the equation of the line with a slope of -2 and a y-intercept of 3?

Accepted Answer

y = -2x + 3

Answer

y = -2x - 3

Answer

y = 2x - 3

Answer

y = 2x + 3

Question 56

Express 'a number increased by two' algebraically:

Accepted Answer

x + 2

Answer

x / 2

Answer

2 - x

Question 57

Factorise: 10x^2 - 25x

Accepted Answer

5x(2x - 5)

Answer

2x(5x - 12.5)

Answer

10x(x - 2.5)

Answer

5x(x - 5)

Question 58

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

Accepted Answer

2(x + y) - 5

Answer

3(x + y) + 5

Answer

x + 2(y - 5)

Answer

2x + 2y - 5

Question 59

Which of the following is a variable?

Accepted Answer

n

Answer

=

Answer

5

Answer

+

Question 60

Which of the following equations represents the line passing through the points (2, 5) and (4, 11)?

Accepted Answer

y = 3x + 1

Answer

y = 4x - 1

Answer

y = 5x + 2

Answer

y = 2x + 3

Question 61

Simplify the expression: 2(x + 3)

Accepted Answer

2x + 6

Answer

2x + 3

Answer

4x + 6

Answer

x + 6

Question 62

Which of the following represents the distributive property?

Accepted Answer

a(b + c) = ab + ac

Answer

(a + b)c = ac + bc

Answer

a + b = b + a

Answer

a(b - c) = ab - ac

Question 63

Which of the following is an example of a linear equation?

Accepted Answer

y = 3x - 1

Answer

y = x^2 + 1

Answer

y = 1/x

Question 64

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

Accepted Answer

9x^4y^2

Answer

9x^3y^2

Answer

6x^4y^2