Pre Assessment- Two step Equations

A two step equation is an equation that requires one operation to solve?

• True

• False

Answer explanation

A two step equation requires only two steps to solve and find the variable. An example of a two step equation is: 2x+3=7

Tags

CCSS.7.EE.B.4A

Why do we use inverse operations when solving two step equations?

• To isolate the variable

• To simplify the constants

• To make the equation more complex

• To add more steps to the solution

Answer explanation

The goal in solving an equation is to get the variable alone on one side of the equation and a number on the other side of the equation. In order to do this we must isolate the variable by reversing the operations acting on the variable. For example if we have 4x the inverse operation of multiplication is division so we would divide 4x by 4

Tags

CCSS.7.EE.B.4A

Solve the equation 2x + 8 =18. What is x?

• 7

• 6

• 8

• 5

Answer explanation

To solve the equation 2x + 8 = 18, first subtract 8 from both sides to get 2x = 10. Then divide by 2 to find x = 5. Therefore, x = 5 is the correct answer.

Tags

CCSS.7.EE.B.4A

In the equation 3x+4=19, what is the first step to solve for x?

• Add 4 to both sides

• Divide both sides by 3

• Subtract 4 from both sides

• Multiply both sides by 2

Answer explanation

To solve for x in the equation 3x+4=19, the first step is to subtract 4 from both sides to isolate the variable x.

Tags

CCSS.7.EE.B.4A

Which of the following solutions is correct for the equation 4x+6=18?

• x=1

• x=4

• x=3

• x=2

Answer explanation

To solve the equation 4x+6=18, first subtract 6 from both sides to get 4x=12. Then divide by 4 to find x=3. Therefore, the correct solution is x=3.

Tags

CCSS.6.EE.B.5

If you were to create a two step equation where the value of x =4 what would the equation look like?

• 2x+4=11

• 2x+3=11

• 3x+2=11

• 3x+3=11

Answer explanation

The correct equation for x=4 would be 2x+3=11. Plugging in x=4 gives 2(4)+3=11, which simplifies to 8+3=11.

A variable in a equation is a symbol representing a number.

• True

• False

Answer explanation

A variable is a term or a letter of the alphabet that represents an unknown number. Your variable can look like this : 2x or 2m or 2n

Tags

CCSS.6.EE.B.6

Which statement is true about solving one step and two step equations?

• Both can have variables on both sides.

• Two step equations require two operations.

• One step equations are more complex.

• Both require the same number of operations.

Answer explanation

One step equations are not more complex. They only require one step in order to solve as opposed to two steps to solve for the variable.

Tags

CCSS.7.EE.B.4A

Why is it important to check your solution after solving a two step equation?

• To ensure there are no mistakes

• To find a different solution

• To add more steps

• To practice more problems

Answer explanation

We check our solution by plugging the value for x back into the equation to verify that it is correct for example. 3x+4=19 is x=5 so we would plug 5 back in.

3(5)+4=19

15+4=19

19=19

Tags

CCSS.8.EE.C.7B

What is the first step to solve the equation 7x - 5 = 16?

• Add 5 to both sides

• Subtract 5 from both sides

• Divide both sides by 7

• Multiply both sides by 7

Answer explanation

To solve the equation 7x - 5 = 16, the first step is to add 5 to both sides in order to isolate the variable x.

Tags

CCSS.7.EE.B.4A