Algebra Semester Review

The graph of the inequality
1/2x > 5 would have ________________.

• an open circle

• a closed circle

• no solution

• exactly one solution

Which inequality is represented in the graph?

• y > 4x - 2

• y < 4x - 2

• y > 1/4x - 2

• y < 1/4x - 2

Which point is in the solution set to the system of inequalities?

• (3, 5)

• (0, -1)

• (-2, 2)

• (0, -6)

Which system of equations represents the situation:
Katy weighs 105 pounds and is gaining 2 pounds a month. James weighs 175 pounds and is losing 3 pounds a month. (Let w = weight, m = number of months)

• w = 2m +105
  w = -3m +175

• w = 2m + 105
  w = 3m + 175

• 2m + 3w = 280
  m + w = -1

• Not enough information

Solve using substitution:
y = 7x - 5
2x+y=13

• (1, 2)

• No solution

• (2, 9)

• Infinitely many solutions

What would be the first step to solve using the elimination method?
6x - 2y = -16
4x + y = 1

• Multiply the second equation by 2

• Multiply the second equation by -2

• Add the 2 equations together

• Subtract the 2 equations

Solve the system of equations using the elimination method.
y - x = 4
2y + x = 8

• (0, -4)

• (4, 8)

• (4, 0)

• (0, 4)

Which system of equations represents the situation:
An adult ticket at a theme park costs $24.95 and a child’s ticket costs $15.95. A group of 10 people paid $186.50 to enter the park.

• 24.95a + 15.95c = 186.50
  24.95a + 15.95c = 10

• 24.95a + 15.95c = 186.50
  a + c = 10

• a + c = 186.50
  24.95a + 15.95c = 10

• Not enough information

Write the explicit formula for the sequence represented in the table.

• t(n) = 6n + 15

• t(n) = 6n + 9

• t(n) = 9(6)ⁿ

• t(n) = 15(6)ⁿ

Solve for x.

• x = 2.5

• x = 1

• x = 6

• No solution