Algebra 2 2021 midterm review

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3
• -1 < x < 3
• 1 < x < 3
• 1 ≤ x ≤ 3

Solve:
 |x + 3| > 8

• x > 5 or x < -11
• x > 5
• all real numbers
• no solution

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

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution

Solve.
|2x - 1| = 7

• x = -3 or x = 4
• x = 4
• x = 4 or x = -4
• no solution

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

x+2<-4 or -5x<-15

• -6<x<3
• x<-3 and x>6
• x<-6 or x>3
• No Solution

Solve:
12x - 4y = 20  ,  for   y 

• y = 3x - 5
• y = -3x + 5
• y = -3x - 5
• y = 3x + 5

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

When f(x) = x²+9 and g(x) = x-9, find f(x)-g(x). 

• x²+x+9
• x²-x+9
• x²-x
• x²-x+18

Given g(x) = -2x+2 and f(x) = 3x²+4, find g(3)+f(-1).

• 3

• -3

• all real numbers

• no solution