Expressions and Equations: Master Algebra Basics for Sixth Graders

Question 1

Solve for x: x - 7 = 10

Accepted Answer

17

Answer

3

Answer

7

Answer

27

Question 2

Simplify the expression: 2(x + 3)

Accepted Answer

2x + 6

Answer

2x + 3

Answer

x + 6

Answer

x + 3

Question 3

Solve the equation: x + 5 = 12

Accepted Answer

x = 7

Answer

x = 5

Answer

x = 17

Answer

x = 12

Question 4

Evaluate the expression: 5²

Accepted Answer

25

Answer

5

Answer

10

Answer

125

Question 5

Which expression is equivalent to 2 * x + 5?

Accepted Answer

2 * (x + 2.5)

Answer

x + 10

Answer

x - 10

Answer

x + 7.5

Question 6

Which of the following is NOT a property of equality?

Accepted Answer

If a = b, then a/b = b/a (b ≠ 0).

Answer

If a = b, then a + c = b + c.

Answer

If a = b, then b = a.

Answer

If a = b, then a - c = b - c.

Question 7

Which of the following expressions is equivalent to 3x - 4y + 2x + y?

Accepted Answer

5x - 3y

Answer

5x + 3y

Answer

3x + 5y

Answer

3x - 5y

Question 8

Write an equation to represent the following statement: The sum of twice a number and 5 is equal to 15.

Accepted Answer

2x + 5 = 15

Answer

2x - 5 = 15

Answer

x + 5 = 15

Answer

x - 5 = 15

Question 9

Which of the following is a solution to the inequality x - 3 < 5?

Accepted Answer

6

Answer

0

Answer

1

Answer

8

Question 10

Find the value of the expression 3x + 2 when the value of x is 5.

Accepted Answer

20

Answer

11

Answer

15

Answer

25

Question 11

Which of the following is an algebraic expression that represents the sum of twice a number x and 5?

Accepted Answer

2x + 5

Answer

5 + 5

Answer

x²

Answer

10 ÷ 2

Question 12

Solve the equation: x + 5 = 10

Accepted Answer

x = 5

Answer

x = 10

Answer

x = 15

Answer

x = 20

Question 13

What is the area of a rectangle with a length of x + 3 and a width of x - 2?

Accepted Answer

x² - 5x - 6

Answer

x² + x - 6

Answer

x² - x - 6

Answer

x² + 5x - 6

Question 14

Which inequality represents the statement: The number of apples, a, is more than 10?

Accepted Answer

a > 10

Answer

a < 10

Answer

a ≥ 10

Answer

a ≤ 10

Question 15

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

Accepted Answer

5x + 2

Answer

The sum of two numbers

Answer

10 apples

Answer

Five multiplied by a number

Question 16

Translate the following statement into an algebraic equation: The sum of two numbers is 10.

Accepted Answer

x + y = 10

Answer

10xy

Answer

10 = x + y

Answer

x - y = 10

Question 17

Which of the following represents the expression "5 less than twice a number"?

Accepted Answer

2x - 5

Answer

x - 5

Answer

5 - 2x

Question 18

Which of the following is equivalent to the expression x * x * x?

Accepted Answer

x^3

Answer

3x

Answer

x + x + x

Answer

x / x / x

Question 19

Find the value of y in the equation 5y - 10 = 25

Accepted Answer

7

Answer

10

Answer

15

Answer

5

Question 20

Translate the following phrase into an algebraic expression: '4 less than twice a number x'

Accepted Answer

2x - 4

Answer

x / 2 - 4

Answer

4 / x - 2

Answer

4x - 2

Question 21

Solve the equation: 2(x - 3) = 8

Accepted Answer

7

Answer

10

Answer

14

Answer

4

Question 22

Which of the following is NOT a property of equality?

Accepted Answer

Substitution Property of Inequality

Answer

Symmetric Property of Equality

Answer

Transitive Property of Equality

Answer

Reflexive Property of Equality

Question 23

Solve the equation: 3x + y = 12 for y

Accepted Answer

y = 12 - 3x

Answer

y = 3(12 - x)

Answer

y = 3x + 12

Question 24

Which of the following is a solution to the inequality x - 2 > 5?

Accepted Answer

x > 7

Answer

x = 7

Answer

x < 7

Answer

x > 5

Question 25

Which of the following is an algebraic expression?

Accepted Answer

3x + 5

Answer

The sum of two numbers is 10

Answer

x = 5

Question 26

What is the value of the expression 2x + 1 when x = 3?

Accepted Answer

7

Answer

9

Answer

5

Answer

11

Question 27

Which of the following equations is equivalent to 3x - 5 = 10?

Accepted Answer

3x = 15

Answer

5x = 10

Answer

x - 5 = 3

Answer

x = 5

Question 28

Solve the equation: x + 7 = 12

Accepted Answer

x = 5

Answer

x = 7

Answer

x = 12

Answer

x = 19

Question 29

Which of the following is a real-world situation that can be represented by the equation y = 2x + 1?

Accepted Answer

The total cost of renting a car for x days

Answer

The distance traveled by a car行驶

Answer

The area of a rectangle

Answer

The volume of a cube

Question 30

Which of the following is NOT a property of equality?

Accepted Answer

If a = b, then b > a

Answer

If a = b, then a - c = b - c

Answer

If a = b, then ac = bc

Answer

If a = b, then a + c = b + c

Question 31

Which of the following expressions is a factor of x^2 - 9?

Accepted Answer

(x + 3)

Answer

(x - 9)

Answer

(x^2 + 9)

Answer

(x - 3)

Question 32

Which of the following is a solution to the inequality x + 5 > 10?

Accepted Answer

x > 5

Answer

x > 15

Answer

x = 5

Answer

x < 5

Question 33

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

Accepted Answer

A line with a slope of 2 and a y-intercept of 1

Answer

A hyperbola with a center at (0, 0)

Answer

A circle with a radius of 1

Answer

A parabola with a vertex at (0, 1)

Question 34

Which of the following is a system of equations?

Accepted Answer

y = 2x + 1 and y = x - 1

Answer

y = x

Answer

x + y = 5

Answer

x^2 + y^2 = 25