Free Practice Quiz Question List

4 Writing and Solving Equations Online Quiz Questions

Use this free practice quiz with 20 questions to review 4 Writing and Solving Equations, test your knowledge, and prepare for your next test or exam.

20 questions

Choose one

1 point

Let $x$ represent a number. Which equation translates “the quotient of a number and 6 is 8”?

A
$6x = 8$
B
$\frac{x}{6} = 8$
C
$x = 6 + 8$
D
$\frac{6}{x} = 8$

True or false

1 point

Applying the same operation to both sides of an equation preserves equality, provided the operation is defined on both sides and any division is by a nonzero number. True or false?

A
True
B
False

Written response

1 point

Solve $7x - 4 = 31$ . What is the value of $x$ ?

Choose one

1 point

What is the solution to $7x - 6 = 36$ ?

A
$x = 4$
B
$x = 5$
C
$x = 6$
D
$x = 7$

Fill in the blank

1 point

Let $x$ be a number. A number is divided by 5, then 3 is added, and the result is 10. Write the equation:

True or false

1 point

To solve an equation such as $4x + 7 = 31$ , undo multiplication before undoing addition.

A
True
B
False

Choose all

1 point

Select all statements that give valid steps for solving $6x + 8 = 38$ .

A
Subtract 8 from both sides to get $6x = 30$ .
B
Divide both sides by 6 first to get $x + 8 = 38$ .
C
Divide $6x = 30$ by 6 to get $x = 5$ .
D
Subtract 8 from only the left side to get $6x = 38$ .

Choose all

1 point

A number is multiplied by 3 and then 2 is subtracted; the result is 19. Select all equations that represent the statement or follow from it by valid equation-solving steps.

A
$3x - 2 = 19$
B
$3x = 21$
C
$3(x - 2) = 19$
D
$x = 7$

Fill in the blank

1 point

Complete the solution of $5x - 6 = 24$ . After adding 6 to both sides, the equation is . After dividing both sides by 5, the solution is .

Written response

1 point

A number decreased by 9 is 14. What is the number?

Choose one

1 point

A number is multiplied by 4, then 7 is added. The result is 35. If $x$ is the number, which equation represents the situation?

A
$4(x + 7) = 35$
B
$4x + 7 = 35$
C
$4x = 35 + 7$
D
$7x + 4 = 35$

Open ended

1 point

A number is multiplied by 2 and then 9 is added; the result is 25. Define a variable, write an equation, solve it by showing the operations on both sides, and check your solution in the original equation.

Choose one

1 point

Let $x$ represent a number. Which equation translates “12 less than 3 times a number is 24”?

A
$3(x - 12) = 24$
B
$12 - 3x = 24$
C
$3x - 12 = 24$
D
$3x = 24 - 12$

Choose one

1 point

Which value satisfies $2x + 7 = 19$ ?

A
$x = 4$
B
$x = 5$
C
$x = 6$
D
$x = 7$

True or false

1 point

To solve $3x+4=19$ , subtract 4 from both sides before dividing both sides by 3.

A
True
B
False

Choose one

1 point

What is the solution to $x-9=14$ ?

A
$x=5$
B
$x=14$
C
$x=23$
D
$x=126$

Choose one

1 point

Which operation should be applied to both sides first to solve $5x=35$ ?

A
Add 5 to both sides.
B
Divide both sides by 5.
C
Subtract 5 from both sides.
D
Multiply both sides by 5.

Written response

1 point

Solve $2x+3=17$ . What is the value of $x$ ?

Choose one

1 point

A number is divided by 4, then 6 is added. The result is 11. Which equation represents the statement, using $x$ for the number?

A
$\frac{x}{4}+6=11$
B
$\frac{x+6}{4}=11$
C
$\frac{4}{x}+6=11$
D
$\frac{x}{4}=11+6$

Written response

1 point

Solve $4x+7=31$ . What is the value of $x$ ?