Linear Equations and Inequalities

Given $A=\frac{b}{c}$ , what happens to A as b increases and why? 

• A decreases because b is in the denominator. 

• A increases because b is in the denominator. 

• A decreases because b is in the numerator. 

• A increases because b is in the numerator. 

Tags

CCSS.HSA.REI.A.1

Given $A=\frac{b}{c}$ , what happens to A as c increases and why? 

• A decreases because c is in the denominator. 

• A increases because c is in the denominator. 

• A decreases because c is in the numerator. 

• A increases because c is in the numerator. 

Tags

CCSS.HSA.REI.A.1

Which of the following is equivalent to "4 less than the product of 2 and x is at least 8."

• $2x-4\le8$

• $4-2x\ge8$

• $2x-4\ge8$

• $4-2x\le8$

Tags

CCSS.7.EE.B.4B

Which of the following is equivalent to "The product of 5 and x decreased by 3 is no more than 2."

• $5x-3\ge2$

• $5x-3\le2$

• $5x-3<2$

• $5x-3>\ 2$

Tags

CCSS.7.EE.B.4B

Which of the following interval notations corresponds to this number line?

• $x\ge-4$

• $\left[-4,\infty\right)$

• $\left(\infty,-4\right]$

• $\left(x\ge-4\right]$

Tags

CCSS.6.EE.B.8

Which of the following inequalities corresponds to this number line?

•  $x\le-4$  

• $\left[-4,\infty\right)$

• $$x\ge-4

•  $-4\le x$  

Tags

CCSS.6.EE.B.8

Which of the following inequalities corresponds to this number line?

• $x<0$

• no solution

• $\left(-\infty,\ 0\right)$

• $x\le0$

Tags

CCSS.6.EE.B.8

Which of the following interval notations corresponds to this number line?

• $x<0$

•  $\left(-\infty,0\right]$  

• $\left(-\infty,\ 0\right)$

• $x\le0$

Tags

CCSS.6.EE.B.8

How many solutions does the inequality $-4\le-3$ have? 

• infinitely many solutions

• one solution

• no solution

• two solutions

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

How many solutions does the inequality $2\ge2$ have? 

• infinitely many solutions

• one solution

• no solution

• two solutions

Tags

CCSS.HSA.REI.B.3