Intermediate Algebra Review

Alicia purchased H half-gallons of ice cream for $3.50 each and P packages of ice cream cones for $2.50 each. She purchased 14 items and spent $43.

Which system of equations could be used to determine how many of each item Alicia purchased?

• 3.50H +2.50P= 14

  H+P= 43

• 3.50H +2.50P= 43

  H+P= 14

• 2.50H +3.50P= 43

  H+P= 14

• 2.50H +3.50P= 14

  H+P= 43

A relation is graphed on the set of axes below. Based on this graph, the relation is

• a function because it passes the horizontal line test

• a function because it passes the vertical line test

• not a function because it fails the horizontal line test

• not a function because it fails the vertical line test

Which ordered pair would not be a solution to y=x³-x ?

• (-4, -60)

• (-3, -24)

• (-2, -6)

• (-1,-2)

What are the solutions to the equation 3(x-4)²=27 ?

• 1 and 7

• -1 and -7

Which expression is equivalent to

16x²- 36?

• 4(2x-3)(2x-3)

• 4(2x+3)(2x-3)

• (4x+6)(4x+6)

• (4x-6)(4x-6)

Which expression is equivalent to

2(3g-4) - (8g+3)?

• -2g-1

• -2g-5

• -2g-7

• -2g-11

When factored, x²+ 5x -50 is

• (x+25) (x -2)

• (x +5) (x +10)

• (x-5) (x+10)

• (x-25)(x +2)

Which of the following points is NOT a solution to the line

y=x-2

• ( 4, 2)

• (3,1)

• (6, 4)

• (-2, 0)

What type of factoring problem is x²+6x

• GCF

• Trinomial

• Difference of Perfect Squares

What type of factoring is x² -64

• trinomial

• difference of perfect squares

• GCF