Quiz about Two-Step Equations Quiz

Question 1

Three students disagree about the best and fastest method to solve the equation shown in one step. Which one is correct?

Accepted Answer

None of the students are correct. They need to study their notes.

Answer

Rashad, who wants to multiply by 3

Answer

Ruby, who wants to multiply by 5/3

Answer

Jess, who wants to divide by 1/5

Question 2

How do you prove that your solution is correct? What is your success criteria for solving equations?

Accepted Answer

Substitution: plug the solution in for x and verify that the number sentence is true.

Answer

I don't need to check: it's probably right!

Question 3

What is the FIRST step in solving this equation?

Accepted Answer

subtract 3 from each side

Answer

add three to each side

Answer

subtract 2 from each side

Answer

add 2 to each side

Question 4

Level 3

Identify the steps to solve for b

Accepted Answer

Add 6 to both sides and divide both sides by 5

Answer

Add 6 to both sides and multiply both sides by 5

Answer

Subtract 6 from both sides then multiply both sides by 5

Answer

Subtract 6 from both sides then divide both sides by 5

Question 5

Identify the steps to solve for b

Accepted Answer

Add 6 to both sides and divide both sides by 5

Answer

Add 6 to both sides and multiply both sides by 5

Answer

Subtract 6 from both sides then multiply both sides by 5

Answer

Subtract 6 from both sides then divide both sides by 5

Question 6

Solve the two-step equation: $$3x + 5 = 20$$ .

Accepted Answer

$$x = 5$$

Answer

$$x = 15$$

Answer

$$x = 10$$

Question 7

Which of the following is the first step in solving the equation $$4x - 7 = 9$$ ?

Accepted Answer

Add 7 to both sides

Answer

Subtract 9 from both sides

Answer

Divide both sides by 4

Answer

Multiply both sides by 4

Question 8

In the equation $$2x + 3 = 7$$ , what is the constant?

Accepted Answer

3

Answer

2

Answer

$$x$$

Answer

7

Question 9

What is the inverse operation to use first when solving the equation $$5 - 3y = 2$$ ?

Accepted Answer

Addition

Answer

Subtraction

Answer

Multiplication

Answer

Division

Question 10

After solving the equation $$2x + 4 = 12$$ , what should you do next?

Accepted Answer

Check the solution by substituting back into the original equation

Answer

Solve another equation

Answer

Write a new equation

Answer

There is nothing left to do

Question 11

Which of the following equations is a correctly isolated variable form of $$7 + y/4 = 9$$ ?

Accepted Answer

$$y = (9 - 7) imes 4$$

Answer

$$y = 8$$

Answer

$$y = 9 - 7 + 4$$

Answer

$$y = (9 imes 4) - 7$$

Question 12

What is the solution to the equation $$-3x + 6 = 0$$ ?

Accepted Answer

$$x = 2$$

Answer

$$x = -2$$

Answer

$$x = 0$$

Answer

$$x = -6$$

Question 13

A word problem: If you buy 3 notebooks and each notebook costs $$2 more than the notebook cover price of $$ 5, how much do you spend in total?

Accepted Answer

$21

Answer

$15

Answer

$18

Answer

$24

Question 14

Identify the variable in the following equation: $$4p + 8 = 16$$ .

Accepted Answer

$$p$$

Answer

4

Answer

8

Answer

16

Question 15

Write and solve an equation for the statement: "Seven times a number, decreased by 2, is 33."

Accepted Answer

$$7x - 2 = 33; x = 5$$

Answer

$$7 - 2x = 33; x = -13$$

Answer

$$7x + 2 = 33; x = 31/7$$

Answer

$$2x - 7 = 33; x = 20$$

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