Quiz about Solving Two-Step Equations Review

Question 1

Solve the equation $$3x + 5 = 14$$ and confirm your solution.

Accepted Answer

$$x = 3$$

Answer

$$x = 2$$

Answer

$$x = 4$$

Answer

$$x = 5$$

Question 2

Write a two-step linear equation to represent the following situation: "Three times a number decreased by 4 equals 11."

Accepted Answer

$$3x - 4 = 11$$

Answer

$$3x + 4 = 11$$

Answer

$$4x - 3 = 11$$

Answer

$$x - 3 = 11$$

Question 3

Solve the problem: "If 5 more than twice a number is 15, what is the number?"

Accepted Answer

$$x = 5$$

Answer

$$x = 4$$

Answer

$$x = 6$$

Answer

$$x = 7$$

Question 4

Apply the properties of real numbers to solve the equation $$4x - 7 = 9$$ .

Accepted Answer

$$x = 4$$

Answer

$$x = 2$$

Answer

$$x = 3$$

Answer

$$x = 5$$

Question 5

Confirm the solution to the equation $$5x - 2 = 18$$ .

Accepted Answer

$$x = 4$$

Answer

$$x = 3$$

Answer

$$x = 5$$

Answer

$$x = 6$$

Question 6

Write a two-step linear equation for the situation: "Seven less than four times a number is 21."

Accepted Answer

$$4x - 7 = 21$$

Answer

$$4x + 7 = 21$$

Answer

$$7x - 4 = 21$$

Answer

$$x - 7 = 21$$

Question 7

Solve the problem: "If 8 is subtracted from three times a number, the result is 10. What is the number?"

Accepted Answer

$$x = 6$$

Answer

$$x = 4$$

Answer

$$x = 5$$

Answer

$$x = 7$$

Question 8

Use properties of equality to solve the equation $$6x + 4 = 22$$ .

Accepted Answer

$$x = 3$$

Answer

$$x = 2$$

Answer

$$x = 4$$

Answer

$$x = 5$$

Question 9

Confirm the solution to the equation $$7x + 3 = 31$$ .

Accepted Answer

$$x = 4$$

Answer

$$x = 3$$

Answer

$$x = 5$$

Answer

$$x = 6$$

Question 10

Write a two-step linear equation for the situation: "Five more than twice a number is 17."

Accepted Answer

$$2x + 5 = 17$$

Answer

$$2x - 5 = 17$$

Answer

$$5x + 2 = 17$$

Answer

$$x + 5 = 17$$

Question 11

Solve the problem: "If 10 is added to four times a number, the result is 34. What is the number?"

Accepted Answer

$$x = 6$$

Answer

$$x = 5$$

Answer

$$x = 7$$

Answer

$$x = 8$$

Question 12

Apply properties of real numbers to solve the equation $$3x - 5 = 16$$ .

Accepted Answer

$$x = 7$$

Answer

$$x = 5$$

Answer

$$x = 6$$

Answer

$$x = 8$$

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