Algebra Regents Review Equations

Line z is graphed below. Line t will be graphed below. The equation for line t is y = ^–2x + 8. What is the point of intersection of lines z and t?

• (3,2)

• (4,3)

• (6,5)

• (2,4)

A number is 12 greater than a second number. The sum of the two numbers is 66. What is the smaller number?

• 21

• 27

• 39

• 45

Two linear equations are given below. Exactly how many solutions does this system of equations have?
x - 4y = -20
x - 4y = -8

• no solution

• one solution

• two solutions

• infinite solutions

The Happy Ride Amusement Park offers the two admission plans described below. A visitor to the park plans to buy tickets for a number of rides. For what number of rides would the total cost of Plan X be equal to the total cost of Plan Y? Plan X:  $13.00 admission fee plus $2.00 for each ride ticket Plan Y:  $4.00 admission fee plus $3.50 for each ride ticket

• 2

• 3

• 6

• 11

A high school club is researching a tour package offered by the Island Kayak Company. The Company charges $35 per person and $245 for the tour guide. Which function represents the total cost, C (x), of this kayak tour package for x club members?

• C(x) = 35x

• C(x) = 35x + 245

• C(x) = 35(x + 245)

• C(x) = 35 + (x +245)

The expression 3(x + 4) - (2x + 7) is equivalent to

• x + 5

• x - 10

• x - 3

• x + 11

The solution to 3(x - 8) + 4x = 8x + 4 is

• 12

• 28

• -12

• -28

When written in standard form, the product of (3 + x) and (2x - 5) is

• 3x - 2

• 2x² + x - 15

• 2x² - 11x - 15

• 6x - 15 + 2x² - 5x

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

If A = 3x² - 6x  and B = 12x- 6x², what is B - A?

• -9x² + 18x

• 9x² - 18x

• -3x² + 6x

• -3x²