Algebra 1st 6 Weeks Review

What is the solution to 0.3(12x - 16) = 0.4(12 - 3x)?

• -2

• 4

• 2

• -4

What is the solution to 8x - 3(2x - 4) = 3(x - 6)?

• 6

• 2

• 30

• No Solution

What value of n makes the equation 4(0.5n - 3) = n - 0.25(12 - 8n) true?

• 3

• -9

• 0

• -15

For what value of -13(q + 4) = 7q + 16 true?

• -0.6

• -3.4

• 1.8

• -1

Which value of x makes the equation 1.25(4x - 10) = 7.5

• 3.5

• -1

• -0.5

• 4

Michelle correctly solved an equation and the last line of her work was 1 = 2. Which statement best describes the solution to the equation Michelle was solving?

• The only solution is 1

• The only solution is 2

• The solutions are both 1 and 2

• The solution is all real numbers

• The equation has no solution

Which inequality describes all the solutions to  $5\left(3\ -\ x\right)\ <\ -2x\ +\ 6$  

•  $x\ <\ 9$  

•  $x\ >\ 3$  

•  $x\ <\ -3$  

•  $x\ >\ 7$  

What is the solution set for  $8\left(3x\ -\ 2\right)\ \le\ 2\left(7x\ +\ 12\right)$  ?

•  $x\ \ge\ 4$  

•  $x\ \ge\ \frac{7}{5}$  

•  $x\ \le\ 4$  

•  $x\ \le\ \frac{7}{5}$  

A shoe company is going to close one of it two stores and combine all the inventory form both stores. These polynomials represent the the inventory in each store:

Store A:  $\frac{1}{2}g^2\ +\ \frac{7}{2}$  

Store B:   $3g^2\ -\ \frac{4}{5}g\ +\ \frac{1}{4}$  

Which expression represents the combined inventory of the two stores?

•  $\frac{7}{2}g^2\ -\ \frac{4}{5}g\ +\ \frac{15}{4}$  

•  $\frac{7}{2}g^2\ \ -\ \frac{4}{5}g\ +\ \frac{4}{3}$  

•  $\frac{7}{2}g^2\ +\ \frac{4}{5}g\ +\ \frac{15}{4}$  

•  $\frac{7}{2}g^2+\frac{4}{5}g\ +\ \frac{4}{3}$  

 Which expression is equivalent to $\left(10\ +\ 7r\ -\ r^2\right)\ +\ \left(-6r^2-18+5r\right)?$  

•  $-7r^2+\ 2r\ +\ 8$  

•  $7r^2\ +\ 12r\ +\ 8$  

•  $-7r^2\ +\ 12r\ -\ 8$  

•  $7r^2\ +\ 2r\ -\ 8$