Midterm Review Algebra Next Gen

Given f(x) = 2x² + 5x - 17, find f(-3r).

• f(-3r) = 18r²-15r-17

• f(-3r) = -18r²-15r-17

• f(-3r) = -6r²-15r-17

• f(-3r) = 3r-17

Solve for x:
ax - b = c+d

• x = a(c + d + b) 
• x = (c + d) / (a-b) 
• x = a / (c + b + d)
• x= (c + b + d)/a

Solve: 
-4x + 1 ≤ 21 and 5x + 2 < 22

• x > -5 or x ≤ 4
• x ≥ -5 or x < 4
• x > -5 and x ≤ 4
• x ≥ -5 and x < 4

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

• y +7 = -1/4(x - 4)
• y - 4 = -1/4(x + 7)
• y + 4 = -1/4(x - 7)
• y - 7 = -1/4(x - 4)

The graph represents the money in a savings account.  What is the meaning of the y-intercept?

• The initial deposit was $30
• $30 is added to the account each week
• It took 30 weeks to same enough money to open an account
• not enough information

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)

What is the equation of a line parallel to the following line that passes through the given point? 
y = -4x + 6      (2, -1)

• y = 1/4x + 6
• y = -4x + 7
• y = -4x + 2
• y = 1/4x -1 

Solve.
|3c - 4| < 12

• -2 2/3 < c < 5 1/3
• c < -5 1/3  or c > 2 2/3
• c < 5 1/3 or c > -2 2/3
• -5 1/3 < c < 2 2/3

Solve by elimination:
4x+9y=28
-4x-y=-28

• (-7,0)
• (6,0)
• (-6,0)
• (7,0)

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3