Alg 1 1.2 Simplify and Solve Equations Assignment

 $-6x+1-2x=5$  

 $-8x+1=5$  

1.  Given the equation and the first step to solve, select the next step from the choices below.

•  $-8x=4$  

•  $-8x=6$  

•  $-7x=4$  

•  $-9x=4$  

Tags

CCSS.7.EE.B.4A

 $-2\left(5x-3\right)=-14$  

2.    Given the equation: why is  $+2$    the solution, not  $-2$  ?

• In the last step,  $\div-20$  by  $-10$  , and  $\left(-\right)\ \div\ \left(-\right)\ =\ +$  .

•  $-2$  is the solution!

• There are too many  $\left(-\right)$  numbers.

Tags

CCSS.HSA.REI.A.1

 $10=x+4+x$  

3.   Given the equation, once you combine like terms, select your new, simplified equation.

•  $10=2x+4$  

•  $10=x^2+4$  

•  $10=x4x$  

•  $10=6x$  

Tags

CCSS.8.EE.C.7B

 $-\left(6x-2\right)=-10$  

4.   Given the equation, to solve, you could distribute the  $\left(-1\right)$   to simplify to  $-6x+2=-10$  .  If, instead, you were to  $\div\left(-1\right)$  on both sides first, would you still get  $x=2$  ?

• Yes

• No

• Cannot be determined.

Tags

CCSS.HSA.REI.A.1

 $-17=3\left(x-4\right)$  

5.    Given the equation: why is  $+\frac{5}{3}$    the solution, not  $-\frac{5}{3}$  ?

• In the last step,  $\div-5$  by  $+3$  , and  $\left(-\right)\ \div\ +\ =\ +$  .

•  $-\frac{5}{3}$  is the solution!

• There are not enough  $\left(-\right)$  numbers.

Tags

CCSS.HSA.REI.A.1

6. You have a part-time job. You work 3 hours on Friday and 6 hours on Saturday. You also receive an allowance of $20 each week. You earn a total of $92 for the week. Which equation would you use to find the amount you earn per hour, x , at your part-time job?

•  $3+6+20x=92$  

•  $3x+6x+20=92$  

•  $20+92=3x+6x$  

•  $3x+6x+20x=92$  

Tags

CCSS.HSA.CED.A.3

7. A merchant is selling wind chimes from a booth at a flea market. He rents his space for $125 per day. The profit from each wind chime sold is $12. His goal is to make $3500 in a five-day workweek. Which equation represents how many chimes, c, he needs to sell in a week to meet his goal?

• $12c-625=3500$

• $5(12c)-125=3500$

• $5(12c+125)=3500$

• $5(12c-125)=3500$

8. A student solved the following equation as shown below.
Line 1         $-2x+13-8x=-17$  
Line 2         $6x+13=-17$  
Line 3         $6x=-30$  
Line 4           $m=-5$  
At which line does the mistake first appear?

• Line 2

• Line 3

• Line 4

• There is not a mistake.  The equation is solved correctly

Tags

CCSS.HSA.REI.A.1