Learn Basic Algebra Concepts and Solve Simple Equations

Question 1

What is the value of 'x' in the equation: 2x + 5 = 11?

Accepted Answer

x = 3

Answer

x = 2

Answer

x = 4

Answer

x = 5

Question 2

Which of these is an equation?

Accepted Answer

2y - 7 = 9

Answer

3x + 5

Question 3

Let's simplify this expression using the distributive property: 2(x + 4)

Accepted Answer

2x + 8

Answer

x + 8

Answer

2x + 4

Answer

4x + 8

Question 4

Jenny had 5 apples. She bought 3 more apples at the store. Then, she gave 2 apples to her friend. How many apples does Jenny have now?

Accepted Answer

6

Answer

2

Answer

8

Question 5

Solve for x: x + 3 = 8

Accepted Answer

5

Answer

2

Answer

8

Answer

11

Question 6

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

Accepted Answer

x + y

Answer

x + 3y

Answer

2x + 2y

Answer

3x + y

Question 7

If a store has 20 pencils and sells 7 of them, how many pencils does it have left?

Accepted Answer

13

Answer

20

Answer

27

Answer

33

Question 8

Which of the following is an algebraic equation?

Accepted Answer

4x + 10 = 18

Answer

4 + 10 = 18

Answer

Four plus ten equals eighteen.

Answer

x = 4

Question 9

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

Accepted Answer

7

Answer

2

Answer

3

Answer

4

Question 10

Which of these expressions is equal to 10 + 5?

Accepted Answer

15

Answer

10 - 5

Answer

10 * 5

Answer

10 / 5

Question 11

What is the missing number in the pattern: 2, 4, ___, 8, 10

Accepted Answer

6

Answer

5

Answer

7

Answer

9

Question 12

Mary has 5 apples, and Sarah gives her 3 more apples. Which equation represents this situation?

Accepted Answer

m + 3 = 5

Answer

m - 3 = 5

Answer

m - 5 = 3

Answer

m + 5 = 3

Question 13

What is the sum of the numbers 6 and x?

Accepted Answer

x + 6

Answer

6 - x

Answer

x - 6

Answer

6x

Question 14

What is the value of x in the equation: 3 + x = 7?

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 15

Which of the following is NOT a variable?

Accepted Answer

apple

Answer

x

Answer

5

Answer

a

Question 16

What is the value of y in the equation: 2y = 10?

Accepted Answer

5

Answer

2

Answer

10

Answer

20

Question 17

A farmer has at least 100 acres of land. Which inequality represents this situation?

Accepted Answer

x ≥ 100

Answer

x ≤ 100

Answer

x > 100

Question 18

We have 'x' apples in a basket. We add 5 more apples. How many apples are there now?

Accepted Answer

x + 5

Answer

x

Answer

5

Answer

x - 5

Question 19

A school is planning a trip to the zoo. Each student pays $15, and there are 25 students going. The school also needs to pay $50 for transportation. How much will the trip cost in total?

Accepted Answer

$15 x 25 + $50 = $400

Answer

$25 + $15 + $50 = $90

Answer

$15 x 50 = $750

Question 20

We have two numbers. When we add them, we get 20. If we call one of the numbers 'x', which equation shows this?

Accepted Answer

x + y = 20

Answer

x + 20 = 0

Answer

20 - x = 0

Answer

y - x = 20

Question 21

Combine the like terms: 5x + 3x

Accepted Answer

8x

Answer

8

Answer

2x

Answer

5 + 3

Question 22

Which of these is a number sentence that uses variables?

Accepted Answer

x + 2 = 5

Answer

2 + 3 = 5

Answer

5 - 1 = 4

Question 23

What does the variable 'x' mean in the number sentence: 2x + 1?

Accepted Answer

A number that we don't know yet

Answer

A special symbol that means 'add'

Answer

A number that is always the same

Question 24

What does the number sentence: 'x - 5 = 10' tell us?

Accepted Answer

x is 5 less than 10.

Answer

x is 5 more than 10.

Answer

x is 10 less than 5.

Question 25

Which of these is the same as '3x + 2'?

Accepted Answer

x + x + x + 2

Answer

2 + 2 + 2 + x

Answer

3 + 2x

Question 26

What is the value of y in the equation y + 5 = 10?

Accepted Answer

y = 5

Answer

y = 15

Answer

y = 10

Answer

y = 2

Question 27

If our special number, x, is 2, what do we get when we multiply it by 3 and then add 5?

Accepted Answer

11

Answer

1

Answer

15

Answer

20

Question 28

We use letters called variables to represent unknown numbers. Let's say the number of apples in a basket is unknown, and we'll call that number "x". If John has 5 apples, what is the value of "x"?

Accepted Answer

x = 5

Answer

x - 5

Answer

5 + x

Answer

x / 5

Question 29

Find the perimeter of a rectangle with length x and width y.

Accepted Answer

2x + 2y

Answer

x + y

Answer

xy

Answer

x - y

Question 30

Imagine we have a special number sentence: 2 times x multiplied by x plus 3. Which of these is the same as our special number sentence?

Accepted Answer

2x squared plus 3x

Answer

2x plus 3

Answer

x plus 3

Answer

2x

Question 31

What is a variable?

Accepted Answer

A letter that can stand for any number

Answer

A number that stays the same

Answer

A symbol that means multiply

Answer

A word that means equal

Question 32

Which of these is the same as 3 + 4?

Accepted Answer

7

Answer

3 - 4

Answer

3 x 4

Answer

11

Question 33

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

Accepted Answer

A straight line that goes up 2 for every 1 to the right

Answer

A straight line that goes up 1 for every 2 to the right

Answer

A curved line that goes up and down

Answer

A circle

Question 34

Which of these is a variable?

Accepted Answer

x

Answer

2

Answer

5 + y

Answer

=

Question 35

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

Accepted Answer

5x + 10

Answer

x + 5

Answer

5x + 2

Answer

5 + 2x

Question 36

What is an example of a variable?

Accepted Answer

The letter x

Answer

The number 5

Answer

A circle

Answer

A triangle

Question 37

Which of these is an equation?

Accepted Answer

x + 5 = 10

Answer

The sum of two numbers is 10

Answer

The area of a rectangle is 20 square units

Answer

A triangle has three sides

Question 38

Which expression is equal to 2x + 4?

Accepted Answer

2x + 2

Answer

x + 2

Answer

4x + 2

Answer

x + 4

Question 39

If you have 4 apples and your friend gives you 3 more, how many apples do you have now?

Accepted Answer

7

Answer

1

Answer

4

Answer

10

Question 40

What is the greatest common factor (GCF) of 6 and 12?

Accepted Answer

3

Answer

1

Answer

2

Answer

6

Question 41

Which equation means "The number "b" is 3 more than the number "a"?

Accepted Answer

b = a + 3

Answer

a = b + 3

Answer

a + b = 3

Answer

b - a = 3

Question 42

A train travels "x" miles per hour. How many miles does it travel in "t" hours?

Accepted Answer

x * t

Answer

x + t

Answer

t - x

Answer

x / t

Question 43

Let's imagine you have a basket with some apples. We'll call the number of apples in the basket "a". Which equation shows how many apples are in the basket?

Accepted Answer

a + 5

Answer

5 - a

Answer

a - 5

Answer

5a

Question 44

We have a number puzzle: 2x - 5 = 9. What number should we put in place of x to make the equation true?

Accepted Answer

7

Answer

5

Answer

11

Answer

9

Question 45

Which expression represents '5 more than a number'?

Accepted Answer

x + 5

Answer

x - 5

Answer

5 - x

Question 46

Find the value of x in the equation: x = 10 - 5

Accepted Answer

5

Answer

15

Answer

10

Answer

-5

Question 47

Which of the following represents the number 5 as a variable?

Accepted Answer

x = 5

Answer

x + 5 = 0

Answer

x - 5 = 0

Answer

5x = 5

Question 48

Find the value of y in the expression 2y = 4.

Accepted Answer

y = 2

Answer

y = 6

Answer

y = 8

Answer

y = 4

Question 49

Which of the following expressions is equivalent to 3x + 5?

Accepted Answer

5 + 3x

Answer

5 - 3x

Answer

5x - 3

Answer

3x - 5

Question 50

A farmer has 12 sheep. If he sells half of them, how many sheep does he have left?

Accepted Answer

6

Answer

10

Answer

4

Answer

8

Question 51

Which of the following is NOT an algebraic expression?

Accepted Answer

6 + 7

Answer

2y - 1

Answer

3 - z

Answer

x + 5

Question 52

Simplify the expression 5(x + 2).

Accepted Answer

5x + 10

Answer

5 + 10x

Answer

10x + 2

Answer

x + 10

Question 53

Which of the following is a constant term in the expression 2x + 5?

Accepted Answer

5

Answer

x

Answer

2

Question 54

Which of these is a variable?

Accepted Answer

x

Answer

+

Answer

5

Answer

=

Question 55

What equation represents the sentence "The sum of a number and 7 is 15"?

Accepted Answer

x + 7 = 15

Answer

7x = 15

Answer

15x = 7

Answer

15 - x = 7

Question 56

What is the perimeter of a rectangle with length 5 and width x?

Accepted Answer

2(5 + x)

Answer

5x

Answer

5 + x

Answer

2x

Question 57

Find the unknown number in the equation 3x = 12.

Accepted Answer

4

Answer

8

Answer

2

Answer

6

Question 58

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

Accepted Answer

(1/2)bh

Answer

2bh

Answer

b + h

Answer

bh

Question 59

Which number sentence shows the addition of 5 and 5?

Accepted Answer

5 + 5

Answer

5 - 5

Answer

5 x 5

Question 60

Which equation represents the statement: 'Three more than a number is 10'?

Accepted Answer

x + 3 = 10

Answer

10x = 3

Answer

x - 3 = 10

Answer

3x = 10

Question 61

Which number sentence shows 'the product of 5 and a number x'?

Accepted Answer

5x

Answer

x - 5

Answer

x + 5

Answer

x / 5

Question 62

Simplify the number sentence: 3(x + 2)

Accepted Answer

3x + 6

Answer

x + 6

Answer

3x - 6

Answer

6x + 2

Question 63

Which equation represents the following situation: 'The number of apples in a basket is 12 more than twice the number of oranges'?

Accepted Answer

a = 2o + 12

Answer

o = 2a + 12

Answer

a = o + 12

Answer

a = 2o - 12

Question 64

Which number sentence is equivalent to 'Five plus five'?

Accepted Answer

5 + 5 = 10

Answer

5 multiplied by 5

Answer

5 minus 5

Answer

5 divided by 5