Introduction to Algebra for 4th Graders: Learn Variables, Expressions, and Equations

Question 1

Apples cost $0.50 each. If you buy 'x' apples, how much will you pay?

Accepted Answer

0.50x

Answer

x + 0.50

Answer

x / 0.50

Answer

0.50 / x

Question 2

Imagine we have an input number x and an output number y. The output is double the input, plus 3. Write an algebraic expression that shows this relationship.

Accepted Answer

y = 2x + 3

Answer

y = x + 3

Answer

y = 3x

Answer

y = x * 3 + 1

Question 3

You have a rectangular garden with a length of (3x + 2) meters and a width of (2x - 1) meters. What is the perimeter of your garden?

Accepted Answer

2(3x + 2 + 2x - 1) meters

Answer

4x + 1 meters

Answer

2(l + w) meters

Answer

(3x + 2)(2x - 1) meters

Question 4

Let's examine the algebraic expression: 2x³ - 5x² + 3x - 8. Can you determine its degree and the number of terms it contains?

Accepted Answer

Degree: 3, Number of terms: 4

Answer

Degree: 2, Number of terms: 3

Answer

Degree: 4, Number of terms: 2

Answer

Degree: 1, Number of terms: 5

Question 5

Which expression will create a horizontal line that passes through the point (0, 5) on a graph?

Accepted Answer

y = 5

Answer

y = 5x

Answer

y = x + 5

Answer

y = 5 - x

Question 6

What operation is the opposite of multiplication?

Accepted Answer

Division

Answer

Addition

Answer

Subtraction

Answer

Exponents

Question 7

Which of these expressions shows the area of a rectangle with a length of l and a width of w?

Accepted Answer

l x w

Answer

l + w

Answer

l - w

Answer

l / w

Question 8

Translate this statement into an equation: 'The total of two numbers is 15'.

Accepted Answer

x + y = 15

Answer

2x = 15

Answer

15x = y

Answer

15 - y = x

Question 9

In the equation 2(x - 3) = 10, which variable is alone on one side of the equation?

Accepted Answer

x

Answer

2

Answer

3

Answer

-3

Question 10

What expression shows the perimeter of a square with a side length of s?

Accepted Answer

4s

Answer

2s^2

Answer

s + 4

Answer

2s

Question 11

What is an inequality?

Accepted Answer

A mathematical statement that compares two values using symbols like <, >, ≤, or ≥

Answer

An equation with one or more variables

Answer

A set of numbers that are subtracted from each other

Answer

A number or a variable

Question 12

Which expression represents the difference between 10 and x?

Accepted Answer

10 - x

Answer

x - 10

Answer

x + 10

Answer

10 + x

Question 13

Which inequality represents the statement: 'The number x is less than or equal to 7'?

Accepted Answer

x ≤ 7

Answer

x > 7

Answer

x < 7

Answer

x = 7

Question 14

Simplify the fraction: 6/12

Accepted Answer

1/2

Answer

2/4

Answer

3/6

Answer

4/8

Question 15

Which of the following is a prime number?

Accepted Answer

13

Answer

4

Answer

6

Answer

9

Question 16

Which of these is NOT a variable?

Accepted Answer

5

Answer

x

Answer

y

Answer

z

Question 17

Which matrix represents a transformation that flips points over the x-axis?

Accepted Answer

[1 0; 0 -1]

Answer

[-1]

Answer

[0 1; -1 0]

Question 18

Which of these is an equation?

Accepted Answer

x = 5

Answer

5 + x

Answer

2x + 3

Answer

10 - y

Question 19

Alex has 12 marbles. He gives some of his marbles to his friend, Ben. If Alex has 5 marbles left, how many marbles did he give to Ben?

Accepted Answer

7

Answer

5

Answer

10

Answer

12

Question 20

Which expression represents 'five less than a number'?

Accepted Answer

x - 5

Answer

5 - x

Answer

x + 5

Answer

5 + x

Question 21

Which expression uses a variable?

Accepted Answer

y + 3

Answer

5 + 7

Answer

10 - 2

Answer

5 * 10

Question 22

If x = 5, what is the value of 2x + 1?

Accepted Answer

11

Answer

6

Answer

15

Answer

25

Question 23

What is the number that appears in front of the variable in the expression 5x + 2?

Accepted Answer

5

Answer

2

Answer

7

Answer

10

Question 24

Which of these is an example of a variable?

Accepted Answer

x

Answer

5

Answer

The number of pencils on Sam's desk

Answer

The length of the hallway

Question 25

In the expression 3x + 2y - 5, what is the sum of all the numbers in front of the variables?

Accepted Answer

8

Answer

0

Answer

5

Answer

10

Question 26

Which of the following is NOT a part of the expression 5x^2 + 2x - 3?

Accepted Answer

5

Answer

5x^2

Answer

2x

Answer

-3

Question 27

What is the value of x in the equation x + 3 = 8? To solve for x, subtract 3 from both sides of the equation.

Accepted Answer

5

Answer

3

Answer

8

Answer

11

Question 28

Which of the following is an example of a variable? A variable is a letter or symbol that represents a number that can change.

Accepted Answer

x

Answer

5

Answer

10 + 5

Answer

y - 3

Question 29

Which of the following is a factor of the expression x^2 - 4? A factor of an expression is a term that divides evenly into the expression.

Accepted Answer

(x - 2)

Answer

(x + 2)

Answer

(x + 4)

Answer

(x - 4)

Question 30

Which of these represents the inequality: x is less than 10? An inequality is a mathematical statement that two expressions are not equal.

Accepted Answer

x < 10

Answer

x > 10

Answer

x ≥ 10

Answer

x ≤ 10

Question 31

Which expression below includes a variable?

Accepted Answer

x - 3

Answer

4 + 7

Answer

12 x 12

Answer

5 ÷ 2

Question 32

Find the value of x in the equation: x + 5 = 12

Accepted Answer

7

Answer

10

Answer

15

Answer

20

Question 33

Which expression is equivalent to: 3x + 5y

Accepted Answer

3(x + y)

Answer

5x + 3y

Answer

6xy

Answer

9xy

Question 34

Which of the following is a variable?

Accepted Answer

x

Answer

5

Answer

10

Answer

+

Question 35

What is the value of y in the equation: 2y - 5 = 11?

Accepted Answer

8

Answer

4

Answer

12

Answer

16

Question 36

Which expression is equivalent to: (2x)(3y)?

Accepted Answer

6xy

Answer

5xy

Answer

xy

Answer

6x + 3y

Question 37

Which expression is equivalent and rearranged to 3x + 5?

Accepted Answer

5 + 3x

Answer

x + 5

Answer

5x + 3

Answer

3 + 5x

Question 38

In an algebraic expression like 5x - 7, what does the x represent?

Accepted Answer

An unknown number

Answer

The sum of two numbers

Answer

The difference of two numbers

Answer

The product of two numbers

Question 39

Which choice is not a property of equality?

Accepted Answer

Addition Property of Inequality

Answer

Reflexive Property of Equality

Answer

Symmetric Property of Equality

Answer

Transitive Property of Equality

Question 40

The balance scale below shows an equation. Determine the equation that matches the balance scale.

Accepted Answer

3x = 5 + 2x

Answer

3x < 5 + 2x

Answer

5 + 2x = 3x

Answer

3x > 5 + 2x

Question 41

Classify the equation y = 2x + 1.

Accepted Answer

Linear equation

Answer

Exponential equation

Answer

Absolute value equation

Answer

Quadratic equation

Question 42

Find the slope of line y = -2x + 3?

Accepted Answer

-2

Answer

3

Answer

2

Answer

-3

Question 43

Find the y-intercept of the line y = 2x - 5.

Accepted Answer

-5

Answer

2

Answer

5

Answer

0

Question 44

Which of the following can represent an unknown value in an equation?

Accepted Answer

A letter, such as 'x' or 'y'

Answer

A number, such as '5' or '10'

Answer

A phrase, such as 'the sum of two numbers'

Answer

A symbol, such as '+' or '='

Question 45

Which of the following expressions shows two terms added together?

Accepted Answer

x + 5

Answer

x - 5

Answer

x / 5

Answer

x = 5

Question 46

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

Accepted Answer

3x + 6

Answer

6x + 2

Answer

x + 6

Question 47

Which expression shows the total of 5 and a number represented by x?

Accepted Answer

5 + x

Answer

x/5

Answer

x - 5

Answer

5x

Question 48

If the value of y is 7, what is the value of 2y + 3?

Accepted Answer

17

Answer

10

Answer

35

Answer

24

Question 49

A farmer has 12 chickens and 5 ducks. Which equation represents the total number of animals?

Accepted Answer

c + d = 17

Answer

c/d = 17

Answer

c - d = 17

Answer

c * d = 17

Question 50

What value of x makes the equation x - 4 = 8 correct?

Accepted Answer

12

Answer

8

Answer

4

Answer

16

Question 51

Which of these is an example of a variable?

Accepted Answer

x

Answer

5

Answer

=

Answer

+

Question 52

What is the coefficient of x in the expression 3x - 2?

Accepted Answer

3

Answer

-2

Answer

1

Answer

2

Question 53

What is another way to write 5 + 5 + 5 + 5 + 5?

Accepted Answer

5 × 5

Answer

10 + 5

Answer

5 + 10

Answer

15 + 5

Question 54

Which of these shows the sum of two numbers, 'a' and 'b'?

Accepted Answer

a + b

Answer

ab

Answer

a - b

Answer

a/b

Question 55

A rectangle is 5 centimeters long and 3 centimeters wide. What is its area?

Accepted Answer

15 cm²

Answer

8 cm²

Answer

30 cm²

Answer

25 cm²

Question 56

If 'n' is a number, how do you write 'five less than n'?

Accepted Answer

n - 5

Answer

n + 5

Answer

5 / n

Answer

5 - n

Question 57

A train travels 120 miles in 2 hours. What is its average speed?

Accepted Answer

60 mph

Answer

90 mph

Answer

30 mph

Question 58

Which number is NOT a factor of 12?

Accepted Answer

9

Answer

2

Answer

4

Answer

3

Question 59

If  * represents a mystery number, what is the value of * in the equation: 3 + * = 8?

Accepted Answer

5

Answer

1

Answer

24

Answer

11

Question 60

Which expression represents the phrase '5 less than a number n'?

Accepted Answer

n - 5

Answer

n + 5

Answer

5n

Answer

5 - n

Question 61

If you have 4 bags of marbles, and each bag contains 'm' marbles, how many marbles do you have in total?

Accepted Answer

4m

Answer

m - 4

Answer

4 + m

Answer

4 / m

Question 62

What is the value of the expression '2x + 3' when x = 4?

Accepted Answer

11

Answer

5

Answer

14

Answer

8

Question 63

A farmer has 'c' chickens and 'd' ducks on his farm. Which expression represents the total number of animals on the farm?

Accepted Answer

c + d

Answer

c x d

Answer

c - d

Answer

c / d

Question 64

Sarah has 6 fewer cookies than her friend John. If John has 'j' cookies, how many cookies does Sarah have?

Accepted Answer

j - 6

Answer

6j

Answer

6 - j

Answer

j + 6