Algebra STAAR

What are the solutions to the equation 5(x + 3)² = 75?

• -3/5 ± √15

• -3/5 ± √3

• -3 ± √3

• -3 ± √15

A part of quadratic function g is graphed on the grid. What is the domain of the part of the function shown?

• All real numbers greater than or equal to -4 and less than or equal to 5

• All real numbers greater than or equal to -1 and less than or equal to 3

• All real numbers greater than or equal to -6 and less than or equal to 6

• All real numbers greater than or equal to -2 and less than or equal to 3

• (2x+3)

• (x-5)

• (x+5)

• (3x-2)

• (3x+2)

• (2x-3)

A triangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer. Which expression represents the perimeter of the triangle in units?

• 15/2 x

• 47/6 x

• 13/2 x + 1

• 13/2 x + 4/3

The total cost, y, for x tickets to a concert includes a flat fee for processing and a cost per ticket. One customer purchased 4 tickets for a total cost of $160. Another customer purchased 8 tickets for a total cost of $300. Which linear equation represents the total cost in dollars, y, for x tickets?

• y = 40x

• y = 37.5x

• y = 35x + 20

• y = 20x + 35

Which expression is a factor of x² + 7x - 30?

• x + 15

• x - 10

• x + 5

• x - 3

• A

• B

• C

• D

A system of linear equations is shown.

6x - 2y = 10

y = 3x - 5

Which statement about the system is true?

• The system has one solution, (-1, -8).

• The system has one solution, (3, 4).

• The system has no solutions.

• The system has infinitely many solutions.

Which relation best represents y as a function of x?

• A

• B

• C

• D

The function f(x) = -4x + 8 represents the first of two equations in a system of linear equations. The second equation in the system has a different slope than the first equation. Which statement is true about the solution to the system of equations?

• The system has no solutions.

• The system has exactly one solution.

• The system has exactly two solutions.

• The system has infinitely many solutions.