Expressions and Equations: Master Algebra Basics for Fifth Graders

Question 1

Which of the following is an algebraic expression that represents a number added to 5?

Accepted Answer

x + 5

Answer

5x

Answer

5

Answer

x

Question 2

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

Accepted Answer

coefficient

Answer

variable

Answer

constant

Answer

term

Question 3

Which of the following expressions is equivalent to '3(x - 2)'?

Accepted Answer

3x - 6

Answer

x - 6

Answer

6x - 3

Answer

3x + 6

Question 4

Which of the following is an example of a letter used to represent an unknown quantity?

Accepted Answer

x

Answer

5

Answer

addition

Answer

equals

Question 5

In the equation z + 7 = 15, which letter represents the unknown quantity?

Accepted Answer

z

Answer

7

Answer

15

Answer

addition

Question 6

Which expression is equal to 2(x + 3)?

Accepted Answer

2x + 6

Answer

2x + 3

Answer

x + 6

Answer

4x + 3

Question 7

Where does the graph of y = 2x + 1 cross the x-axis?

Accepted Answer

(1, 0)

Answer

(-1, 0)

Answer

(0, 1)

Answer

(0, -1)

Question 8

In the equation 3x + 2y = 6, which variable depends on the other?

Accepted Answer

y is the dependent variable and x is the independent variable.

Answer

x and y are both dependent variables.

Answer

x and y are both independent variables.

Answer

x is the dependent variable and y is the independent variable.

Question 9

Where does the graph of y = -2x + 3 cross the y-axis?

Accepted Answer

(0, 3)

Answer

(-3, 0)

Answer

(3, 0)

Answer

(0, -3)

Question 10

What is the algebraic expression for adding two numbers, x and y?

Accepted Answer

x + y

Answer

x - y

Answer

x * y

Answer

x / y

Question 11

Which expression is the same as 3x + 5?

Accepted Answer

5 + 3x

Answer

x + 5 + 3

Answer

5(x + 1)

Answer

5x + 3

Question 12

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

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 13

What is the correct order of operations?

Accepted Answer

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction (PEMDAS)

Answer

Parentheses, Multiplication, Division, Exponents, Addition, Subtraction (PMDEAS)

Answer

Multiplication, Division, Addition, Subtraction, Exponents, Parentheses (MDASEP)

Answer

Addition, Subtraction, Multiplication, Division, Exponents, Parentheses (ASMDPE)

Question 14

Which operation is the opposite of multiplication?

Accepted Answer

Division

Answer

Addition

Answer

Subtraction

Answer

Exponents

Question 15

Which statement describes the identity property of addition?

Accepted Answer

Any number added to zero equals itself.

Answer

Any number multiplied by one equals itself.

Answer

Any number divided by itself equals one.

Answer

Any number added to its opposite equals zero.

Question 16

In the expression 3x + 5, what is the number in front of the variable?

Accepted Answer

3

Answer

5

Answer

x

Answer

y

Question 17

Which equation describes the sentence 'The difference between a number and 4 is 10'?

Accepted Answer

x - 4 = 10

Answer

10 - 4 = x

Answer

4 - x = 10

Answer

x + 4 = 10

Question 18

Solve for x: 3(x + 2) = 18

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 19

Which of the following equations shows a straight line?

Accepted Answer

y = 2x

Answer

y = x^2

Answer

y = 3

Answer

x = 4

Question 20

Solve for x: x + 5 = 10

Accepted Answer

5

Answer

10

Answer

15

Answer

20

Question 21

When x = 3, what is the value of 2x?

Accepted Answer

6

Answer

1

Answer

3

Answer

5

Question 22

What expression is equal to 3(x + 2)?

Accepted Answer

3x + 6

Answer

3x + 2

Answer

x + 6

Answer

9x + 6

Question 23

Write as an algebraic expression: The difference between 10 and twice a number, x

Accepted Answer

10 - 2x

Answer

2x - 10

Answer

10 + 2x

Answer

2x + 10

Question 24

Simplify this expression: 2(x + 3) - 5x

Accepted Answer

-3x + 6

Answer

2x + 1

Answer

2x - 5

Answer

-x - 1

Question 25

Which graph represents the equation y = 2x + 1?

Accepted Answer

Line with a slope of 2 and a y-intercept of 1

Answer

Line with a slope of 1 and a y-intercept of 2

Answer

Parabola with a vertex at (0, 1)

Answer

Circle with a center at (0, 1)

Question 26

Create an equation to show the relationship between hours worked (h) and total pay (p), if the hourly rate is $10.

Accepted Answer

p = 10h

Answer

p = 10 + h

Answer

h = 10p

Answer

p = h/10

Question 27

A rectangular garden has a length of (x + 5) feet and a width of (x - 2) feet. What's its area?

Accepted Answer

x^2 + 3x - 10

Answer

x^2 - 3x + 10

Answer

2x + 3

Answer

2x - 3

Question 28

In the expression 2x + 5, what is the variable?

Accepted Answer

x

Answer

2

Answer

5

Answer

None of these

Question 29

What does the expression 3(x + 2) mean?

Accepted Answer

3 times x plus 2

Answer

x plus 2 multiplied by 3

Answer

x times 3 plus 2

Answer

2 times 3 plus x

Question 30

Solve for z: z ÷ 3 = 6

Accepted Answer

z = 18

Answer

z = 2

Answer

z = 6

Answer

z = 36

Question 31

What is an algebraic expression?

Accepted Answer

A mathematical phrase that includes numbers, variables, and operations

Answer

An equation that has one solution

Answer

A graph that shows a relationship between two variables

Answer

A table that shows the values of a variable

Question 32

Solve for x: x + 3 = 8

Accepted Answer

x = 5

Answer

x = 11

Answer

x = 15

Answer

x = 2

Question 33

Which letter represents the variable in the expression 4y - 2?

Accepted Answer

y

Answer

4

Answer

2

Answer

None

Question 34

Which of the following is the same as the expression 3(x + 4)?

Accepted Answer

3x + 12

Answer

3x - 12

Answer

x + 12

Answer

x - 12

Question 35

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

Accepted Answer

8

Answer

3

Answer

5

Answer

16

Question 36

Which expression represents the area of a square with side length x?

Accepted Answer

x²

Answer

x + x

Answer

2x

Answer

4x

Question 37

Which of the following is an example of an algebraic expression?

Accepted Answer

3 + x

Answer

20

Answer

y = 5

Answer

three apples

Question 38

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

Accepted Answer

2x + 2y

Answer

x + y

Answer

xy

Answer

x - y

Question 39

What is the area of a triangle with base b and height h?

Accepted Answer

1/2 bh

Answer

bh

Answer

b + h

Answer

b - h

Question 40

Which of the following is an example of a variable?

Accepted Answer

x

Answer

5

Answer

apple

Answer

100

Question 41

Which of the following is a common strategy for solving equations?

Accepted Answer

Isolate the variable on one side of the equation.

Answer

Guess and check.

Answer

Use a calculator.

Answer

Draw a picture.

Question 42

Which expression is equal to 5 plus 3 times a number x?

Accepted Answer

3x + 5

Answer

8 + x

Answer

5 - 3x

Answer

x + 8

Question 43

Find the value of x that makes the equation x + 7 equal to 12.

Accepted Answer

x = 5

Answer

x = 7

Answer

x = 12

Answer

x = 19

Question 44

Which of these is NOT a variable?

Accepted Answer

5

Answer

x

Answer

y

Answer

a

Question 45

Write an algebraic expression that represents 'the number of apples you have minus 5'.

Accepted Answer

n - 5

Answer

2n - 5

Answer

5 - 2n

Answer

2n + 5

Question 46

Which of the following is NOT a step in solving the equation 3x + 2 = 11?

Accepted Answer

Multiply both sides by 3.

Answer

Subtract 2 from both sides.

Answer

Divide both sides by 3.

Answer

Add 2 to both sides.

Question 47

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

Accepted Answer

8

Answer

6

Answer

16

Answer

18

Question 48

Which word is an example of a variable?

Accepted Answer

x

Answer

10

Answer

five

Answer

inches

Question 49

Write an algebraic expression for the following: The sum of two numbers, called a and b.

Accepted Answer

a + b

Answer

a + (b + 1)

Answer

a - b

Answer

(a + b) * 2

Question 50

An algebraic equation is a mathematical statement that two expressions are equal. Solve for x: x + 3 = 7

Accepted Answer

x = 4

Answer

x = 10

Answer

x = 3

Answer

x = 1

Question 51

An algebraic expression can be evaluated by substituting the value of the variable into the expression. Find the value of the expression 2x + 1 when x = 3

Accepted Answer

9

Answer

7

Answer

11

Answer

12

Question 52

An equation is a mathematical statement that sets two expressions equal to each other. Which of the following is an equation?

Accepted Answer

x - 2 = 5

Answer

3 + 4

Answer

20

Answer

x

Question 53

Solve for y: 3y - 5 = 10

Accepted Answer

y = 6

Answer

y = 1

Answer

y = 5

Answer

y = 15

Question 54

Distributing a coefficient means multiplying the coefficient with each term inside the parenthesis. Which of the following is equivalent to the expression 5(x + 2)?

Accepted Answer

5x + 10

Answer

5x + 2

Answer

15x + 10

Answer

15x + 2

Question 55

Evaluating an algebraic expression with parentheses involves performing operations inside the parentheses first. Find the value of the expression (x - 3)(x + 2) when x = 1

Accepted Answer

0

Answer

-4

Answer

4

Answer

8

Question 56

A linear equation is an equation that has a constant rate of change. Which of the following is a linear equation?

Accepted Answer

y = 2x + 1

Answer

y = x^2

Answer

y = 1/x

Answer

y = 5