Algebra 1 Review (SHOW ALL WORK)

 $2\left(x+9\right)=20$  

• x = 10

• x = 1

• x = 3

• x = 5.5

 $\left(x+16\right)+\left(2x+2\right)\ =180$ 

• x = 42

• x = 54.66667

• x = 81

• x = 54

 $4y\ -\ 7\ =\ 2y\ +\ 7$  

• x = 2.3333

• x = 7

• x = 2

• x = 14

 $\frac{4}{x}=\frac{3}{7}$  

• x = 9.33333 (or 9 1/3)

• x = 1.71428 (or 12/7)

• x = 5.25

• x = 12

Write the following as an algebraic equation.

"Sam's age is two years less than five times Angie's age."

• 2s = 5a

• 5a = s - 2

• s = 5a - 2

• 2 - 5a = s

Write the following as an algebraic equation.

"Half a number, increased by 11 is twice the same number decreased by 5"

• $\frac{x}{2}+11=2x-5$

• $\frac{x}{11}+\frac{1}{2}=5-2x$

• $11+\frac{x}{2}=5-2x$

• $2x+11\ =\ 2x-5$

 $4x+3y=-12$  

Rewrite the equation in slope-intercept form (y = mx+b)

•  $y=\frac{3}{4}x-12$  

•  $y=-\frac{4}{3}x-4$  

•  $y=\frac{4}{3}x+4$  

•  $y=-4x-12$  

 $y=\frac{3}{2}x+3$  

Determine the slope and y-intercept. 

• slope: 5   y-intercept: (0,3) 

• slope: 3/2   y-intercept: (0,3) 

• slope: 4   y-intercept: (0,3/2)

• slope: 1/5   y-intercept: (0,5) 

Write the equation of the line.

• $y=\frac{3}{5}x+1$

• $y=\frac{3}{5}x-1$
  

• $y=\frac{5}{3}x+1$
  

• $y=\frac{5}{3}x-1$
  

Determine the slope and y-intercept. 4x + y = -10

(Hint: Solve for Y)

• slope: 4 y-intercept: (0,10)

• slope: -4 y-intercept: (0,-10)

• slope: -4 y-intercept: (0,10)

• slope: 4 y-intercept: (0,-10)