Algebra 2 Unit 1A Review

Solve for x.

  $-27s=-x-10v$  

•  $x=-10v-27s$  

•  $x=-10v+27s$  

•  $x=-\frac{27s}{10v}$  

•  $-x=10v-27s$  

Solve for x.

  $kx+2=3b$  

•  $x=\frac{3b-2}{k}$  

•  $x=3b-\frac{2}{k}$  

•  $x=\frac{3b-2}{-k}$  

•  $x=3b-2-k$  

Solve for x. 

 $\frac{xd}{8}=c$  

•  $x=8dc$  

•  $x=\frac{dc}{8}$  

•  $x=\frac{8c}{d}$  

•  $x=\frac{c}{8d}$  

Solve the for x, given the following inequality.

3 | 2x + 7| - 7 < -4

• $\left(-4,-3\right)$

• $\left(-\infty,\ -4\right)U\left(-3,\ \infty\right)$

• $\left(-\infty,\ -\frac{7}{2}\right)$

• $\left(-\frac{7}{2},\ \infty\right)$

Solve for x, given the following inequality.

-5|x - 4| > 20

• $\left(-\infty,\ 0\right)\ U\ \left(8,\ \infty\right)$

• All real solutions

• No solution

• $\left(-21,\ 29\right)$

Solve for x.

|−2n| + 10 = −50

• $n=-30$ and $n=30$

• $n=30$ and $n=-20$

• All real solutions

• No solution

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.

• Absolute value is talking about distance, distance is always measured by positive numbers.

• Absolute value is like a clock it has only positive numbers.

• Absolute value does not always have to be positive.

Solve for r, given the following inequality.
 $\frac{\left|-10+4r\right|}{10}>1$  

•  $\left(-\infty,\ 0\right)U\left(5,\ \infty\right)$  

•  $\left(5,\ \infty\right)$  

• All real solutions

•  $r=5$  

Solve for x.

∣ 2x + 9 ∣ = 15

• $x=3$

• $x=3$ and $x=-3$

• All real numbers

• $x=3$ and $x=-12$

Data was collected on the weight of a male laboratory rat for the first 25 weeks after its birth. The linear regression equation is

y= 40x+100, where x is number of weeks and y is weight in grams.

What does the y-intercept mean in context of the problem?

• The predicted weight of the rat in the first year.

• The current weight of the rat.

• The predicted weight of the rat at birth.

• The average increase in the rat's weight.