Algebraic Thinking for Beginners: Learn Algebra Basics Online

Question 1

Which expression has the same value as 5 + 5 + 5?

Accepted Answer

3 x 5

Accepted Answer

5 x 3

Answer

15 + 5

Answer

5 + 15

Question 2

Which of these is a letter that can stand for any number?

Accepted Answer

x

Answer

5

Answer

+

Question 3

In a fruit market, there are 5 baskets, and each basket contains 3 apples. Write an algebraic expression that shows the total number of apples.

Accepted Answer

5 * 3

Answer

5 + 3

Answer

3 - 5

Question 4

In the expression 3x + 5, which part stands for the unknown number?

Accepted Answer

x

Answer

3

Answer

5

Answer

+

Question 5

Which of these shows an algebraic expression?

Accepted Answer

2 + x

Answer

x equals 5

Answer

3

Question 6

To evaluate the expression 2x - 5 when x = 3, which of the following steps should be taken first?

Accepted Answer

Multiply 2 by x.

Answer

Subtract 5 from x.

Answer

Divide the expression by 2.

Answer

Add 5 to x.

Question 7

Which of these is an algebraic expression?

Accepted Answer

3x + 2

Answer

7 + 5

Answer

10 - 4

Question 8

A farmer has 36 chickens. She sells 12 of them. How many chickens does she have now?

Accepted Answer

24

Answer

12

Answer

36

Answer

48

Question 9

Which expression has the same value as 5 + x?

Accepted Answer

x + 5

Answer

5 - x

Answer

x - 5

Answer

5 * x

Question 10

A variable is a letter that stands for a number we don't know yet. Which letter below is a variable?

Accepted Answer

x

Answer

5

Answer

10 + y

Answer

2

Question 11

Which of these shows a number and a variable combined using a math operation?

Accepted Answer

x + 5

Answer

x = 5

Answer

x

Answer

5

Question 12

Which of these shows an inequality?

Accepted Answer

y - 3 > 7

Accepted Answer

5 < z

Answer

x + 5 = 10

Question 13

Which number sentence shows that a number, represented by 'x', minus five is equal to seven?

Accepted Answer

x - 5 = 7

Answer

x + 5 = 7

Answer

7 - 5 = x

Answer

5 - x = 7

Question 14

Which of these shows an expression?

Accepted Answer

3 + x

Accepted Answer

x + y + z

Answer

x = 5

Answer

5

Question 15

Which expression is equal to the sum of 10 and 5?

Accepted Answer

10 + 5

Answer

10 - 5

Answer

15 - 5

Answer

10 x 5

Question 16

If there are 5 bags with 3 marbles each, how many marbles are there in total?

Accepted Answer

3 x 5

Answer

3 + 5

Answer

15 - 5

Answer

3 ÷ 5

Question 17

What is the distance around a square if each side is 4 inches long?

Accepted Answer

16 inches

Answer

8 inches

Answer

12 inches

Answer

20 inches

Question 18

In the equation 2x + 5 = 15, which letter stands for the unknown number?

Accepted Answer

x

Answer

y

Answer

z

Answer

w

Question 19

Which number line shows the inequality x is less than 5?

Accepted Answer

x < 5

Answer

x > 5

Answer

x = 5

Answer

x ≠ 5

Question 20

What is a variable?

Accepted Answer

The letter x

Answer

The number 5

Answer

The addition sign (+)

Answer

The word 'dog'

Question 21

Which expression is equivalent to the sum of 5 and x?

Accepted Answer

5 + x

Answer

x - 5

Answer

x / 5

Question 22

Which of these shows numbers and operations together?

Accepted Answer

5 + 3

Answer

x = 5

Answer

5 > 3

Question 23

Which of these shows a balance between two expressions using an equals sign (=)?

Accepted Answer

3 + 4 = 7

Answer

The sum of two numbers is 10.

Answer

x is a number.

Question 24

To get 10, what number do you need to add to 3?

Accepted Answer

7

Answer

13

Answer

3

Answer

10

Question 25

You have two baskets with 'b' apples in each basket. How many apples are there in total?

Accepted Answer

2b

Answer

b + 2

Answer

b - 2

Answer

b ÷ 2

Question 26

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

Accepted Answer

x = 3

Answer

x = 4

Answer

x = 5

Answer

x = 6

Question 27

Which expression has the same value as 3 + 4?

Accepted Answer

4 + 3

Answer

3 - 4

Answer

4 - 3

Answer

3 x 4

Question 28

What is another way to write the expression 5 + 3?

Accepted Answer

3 + 5

Answer

5 - 3

Answer

3 x 5

Question 29

Which algebraic expression matches the number sentence 'The sum of a number and 5 is 12'?

Accepted Answer

x + 5 = 12

Answer

12 + x = 5

Answer

12 - x = 5

Answer

5 - x = 12

Question 30

Which of these expressions has the same value as 3 + 4?

Accepted Answer

4 + 3

Answer

3 - 4

Answer

4 - 3

Question 31

Let's say you have a number that we don't know. If you take away 5 from that number, which of these shows that subtraction?

Accepted Answer

N - 5

Answer

5 - N

Answer

N + 5

Answer

5 * N

Question 32

Which expression shows 5 multiplied by 3?

Accepted Answer

5 x 3

Answer

3 + 5

Answer

5 - 3

Answer

3 ÷ 5

Question 33

To solve the equation x + 5 = 10, what number should we add to both sides to isolate x?

Accepted Answer

5

Answer

2

Answer

8

Question 34

Imagine you have some boxes of crayons, and each box has 5 crayons inside. How can you write an expression using letters and numbers to find the total number of crayons you have?

Accepted Answer

Number of boxes × 5

Answer

5 + Number of boxes

Answer

Number of boxes - 5

Answer

5 - Number of boxes

Question 35

We have two baskets of apples. One basket has 5 apples, and the other basket has 'x' apples. Which expression shows the total number of apples in both baskets?

Accepted Answer

5 + x

Accepted Answer

x + 5

Answer

5

Answer

x - 5

Question 36

Which expression shows that the total of 5 and a number, x, is 10?

Accepted Answer

5 + x

Answer

x - 5

Answer

5 - x

Question 37

We have a basket of apples. We want to write an expression that shows there are 5 more apples in another basket. Which expression shows that correctly?

Accepted Answer

a + 5

Answer

a - 5

Answer

5 - a

Answer

5 * a

Question 38

What is the algebraic expression for “the sum of a number x and 5”?

Accepted Answer

x + 5

Answer

x - 5

Answer

5 - x

Answer

5 * x

Question 39

What do algebraic expressions include?

Accepted Answer

Both numbers and letters

Answer

Only numbers

Answer

Only letters

Question 40

Which of these is an equation?

Accepted Answer

x + 5 = 10

Answer

3 + 4

Answer

5 - 2

Question 41

What is the value of x in the equation: 5 + x = 12?

Accepted Answer

x = 7

Answer

x = 10

Answer

x = 15

Question 42

Maria has 10 apples. She gives some apples to her friend John. Which expression shows how many apples Maria has left?

Accepted Answer

10 - x

Answer

10 + x

Answer

x - 10

Answer

x * 10

Question 43

Which number sentence shows the same value as 5 + 7?

Accepted Answer

7 + 5

Answer

5 - 7

Answer

5 + 5

Answer

7 - 5

Question 44

Which of the following expressions means the same as 3 plus a number?

Accepted Answer

3 + x

Answer

x - 3

Answer

3 * x

Answer

3 / x

Question 45

In math, we can use letters to stand for numbers we don't know. Which of these shows that you need to add 5 to a number to get 10?

Accepted Answer

5 + x = 10

Answer

5 - x = 10

Answer

x - 5 = 10

Question 46

Which expression shows the number 5 plus a number represented by the letter x?

Accepted Answer

x + 5

Answer

x + 2

Answer

x - 5

Answer

5 - x

Question 47

Solve for x: x + 4 = 7

Accepted Answer

x is 3

Answer

1

Answer

3

Answer

x is 4

Question 48

Which inequality means 'A number multiplied by 3 is more than 12'?

Accepted Answer

3x > 12

Answer

3x < 12

Answer

12x > 3

Answer

12x < 3

Question 49

What is the answer to: (2 + 3) * 4?

Accepted Answer

24

Answer

5

Answer

10

Answer

20

Question 50

Which letter stands for the unknown number in the equation: 5 + y = 10?

Accepted Answer

y

Answer

x

Answer

z

Answer

w

Question 51

Which expression is the same as 4 times x?

Accepted Answer

4x

Answer

x + 4

Answer

x * 4

Answer

x - 4

Question 52

Solve the inequality: 2x < 8

Accepted Answer

x < 4

Answer

x > 4

Answer

x < 1

Answer

x > 1

Question 53

Which letter stands for the unknown number in the equation: 3 * y = 15?

Accepted Answer

y

Answer

x

Answer

z

Answer

w

Question 54

Solve for x: x + 5 = 10.

Accepted Answer

7

Answer

2

Answer

5

Answer

10

Question 55

Find the unknown number: 2n - 6 = 10.

Accepted Answer

8

Answer

2

Answer

6

Answer

16

Question 56

Which of these is an inequality?

Accepted Answer

x - 3 > 5

Answer

x + 5 = 10

Answer

2x = 12

Answer

y = 7

Question 57

There are 5 boxes with 8 crayons in each box. Which expression shows the total number of crayons?

Accepted Answer

5 x 8

Answer

5 + 8

Answer

8 + 5

Answer

8 x 8

Question 58

Which of these is NOT an algebraic expression?

Accepted Answer

10

Answer

5 + x

Answer

3y - 1

Answer

2x + 5

Question 59

Make the following expression simpler: 2(x + 3)

Accepted Answer

2x + 6

Answer

2x - 6

Answer

4x + 6

Answer

6x + 2

Question 60

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

Accepted Answer

5x

Answer

x + 5

Answer

5 - x

Answer

x^2 + 5

Question 61

Which of these is a variable?

Accepted Answer

x

Answer

10

Answer

5 + 3

Answer

rectangle

Question 62

What expression has the same value as 5 plus 5?

Accepted Answer

10

Answer

5 multiplied by 5

Answer

5 minus 5

Question 63

Which of these is a variable?

Accepted Answer

x

Answer

5

Answer

10 + 5

Answer

cat

Question 64

Which of these is an equation?

Accepted Answer

x + 5 = 10

Answer

x + 5

Answer

10 = 5

Answer

five plus x