Solving Linear Equations and Linear Inequalities

 $1.25\left(4x-10\right)=7.5$  For this equation, which value of x makes it true?

• 3.5

• -1

• -0.5

• 4

Tags

CCSS.6.EE.B.5

Which value of x makes the equation $0.75\left(x+20\right)=2+0.5\left(x-2\right)$  true?

• 64
  

• -64

• 56

• -56

Tags

CCSS.8.EE.C.7B

 $0.3\left(12x-16\right)=0.4\left(12-3x\right)$  for this equation,

what is the solution?

• -2

• 4

• 2

• -4

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

 $4\left(2-x\right)<-2x+4$  

Which inequality describes all the solutions to that equation?

• x<2

• x>12

• x>2
  

• x<-2

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Which value of x satisfies the equation 5(2x-9) + 3 = -7

• $-\frac{1}{10}$

• $5\frac{1}{2}$

• $2\frac{3}{10}$

• $3\frac{1}{2}$

Tags

CCSS.7.EE.B.4A

If 7p + 9 - p = 4p - 2

• $-\frac{11}{2}$

• $-\frac{7}{2}$
  

• $\frac{11}{2}$
  

• $\frac{7}{2}$
  

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Which value of x makes the equation  $\frac{2}{3}x-3=11$  true?

•  $9\frac{1}{3}$  

• 21

• 12

•  $5\frac{1}{3}$  

Tags

CCSS.6.EE.B.5

The formula $D=\frac{3}{2}\left(100-C\right)$  relates D, the temperature measured on the Delisle scale, in degrees, and C, the temperature measured on the Celsius scale, also in degrees.  What is the temperature in degrees Celsius when the temperature in degrees Delisle is  $78\degree$  ?

•  $33\degree$  

•  $108\degree$  

•  $48\degree$  

•  $72\degree$  

Tags

CCSS.HSA.REI.B.3

 $-3\left(3x-8\right)=27$  

What is the solution to the equation

•  $-\frac{1}{3}$  

•  $-5\frac{2}{3}$  

•  $5\frac{2}{3}$  

•  $12\frac{2}{3}$  

Tags

CCSS.7.EE.B.4A

If $20+2\left(3x+10\right)=2x-3\left(3+x\right)$ , what is the value of x?

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.B.5

CCSS.6.EE.B.6