Solving Equations Test Review

Solving Equations
Test Review

Multiple Choice

Which statement best describes a possible first step to solving the equation?

-11- 3x = 44 + 2x

• add 3x to both sides

• subtract 11 from both sides

• add 44 to both sides

• Add 2x to both sides

Multiple Choice

Which of the following steps would NOT be a correct step towards solving the equation below:

$$-14x\ -\ 7\ =\ 3x\ +\ 2$$  

• Combining undefined and undefined to get undefined 

• Adding 7 to both sides of the equation.

• Subtracting 2 from both sides of the equation. 

Math Response

8v - 4(v + 8) = 8

Type answer here

Correct Answer: 10

Deg^°

Rad

Math Response

5x - 4 + 2x = 3

Type answer here

Correct Answer: 1

Deg^°

Rad

Math Response

38 + 7k = 8(k + 4)

Type answer here

Correct Answer: 6

Deg^°

Rad

Drag and Drop

2x + 1 = 2x - 1

The answer to this equation is​​

Placeholder

because​ ​

Placeholder

and ​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

x = 0

infinitely many solutions

no solution

the equality statement is FALSE

the equality statement is TRUE

the variable equals a number

the variable cancelled out

Drag and Drop

3x + 15 = 3(x + 5)

The answer to this equation is​​

Placeholder

because​ ​​

Placeholder

and ​

Placeholder

Drag these tiles and drop them in the correct blank above

x = 0

infinitely many solutions

no solution

the equality statement is FALSE

the equality statement is TRUE

the variable equals a number

the variable cancelled out

Multiple Choice

Translate: Five less than the product of seven and a number is the same as thirteen.

• 7s - 5 = 13
• 5 - 7 + s = 13
• 13 = 7(s - 5) 
• 5 - 7s = 13

Multiple Choice

Which is NOT a word phrase for the algebraic expression below:
n + 16

• a number increased by 16
• 16 increased by a number
• the sum of a number and 16
• 16 more than a number

Multiple Choice

Translate: Six fewer than twice a number is four.

• 6 - 2x = 4
• 2x - 6 = 4
• x² - 6 = 4
• 6 - x² = 4

Multiple Choice

Translate:
6 times the difference of 5 and x

• 6(x – 5)
• 6(5 – x)
• 6 + 5 – x
• 6(5x)

Multiple Choice

Translate the statement into an equation:
The sum of three times a number and ten is equal to eight times the number.

• 3 + 10 = 8
• 3x + 10 = 8
• 3x + 10 = 8x
• 3(x + 10) = 8x

Multiple Choice

$$SA=2B+Ph$$

Solve for P

• $$\frac{SA}{h}-2B=P$$

• $$\frac{SA-h}{2B}=P$$

• $$SA-2B-h=P$$

• $$\frac{SA-2B}{h}=P$$

Multiple Choice

Solve for b:

$$y=mx+b$$

• $$b=y-mx$$

• $$b=y+mx$$

• $$b=my+x$$

• $$b=my-x$$

Multiple Choice

$$P=2L+2W\$$

Solve for L. 

• $$L=2P-4W$$  

• $$L=\frac{P-2W}{2}$$  

• $$L=P-2W$$  

• $$L=\frac{P+2W}{2}$$  

Multiple Choice

Is there a mistake on the equation solved? If so where was the mistake made?

• This equation is solved correctly.

• The mistake was made on the distributive property step on the right side.

• The mistake was made on combining like terms on the left side.

• The mistake was made on moving the variable to the left side.

• The mistake was made on moving the constant to the right side.

Multiple Choice

Is there a mistake on the equation solved? If so where was the mistake made?

• This equation is solved correctly.

• The mistake was made on the first step of moving the variable to the right side.

• The mistake was made on the second step of moving the constant to the left side.

• The mistake was made on the last step when isolating the variable by removing the coefficient