Algebra STAAR

A part of an exponential function is graphed on the grid. Which statements are true about the domain and range of the part of the function shown? Select TWO correct answers.

• The domain is the set of all real numbers greater than or equal to 2 and less than or equal to 5.

• The range is the set of all real numbers greater than or equal to 1 and less than or equal to 8.

• The domain is the set of all real numbers greater than or equal to 1 and less than or equal to 8.

• The range is the set of all real numbers.

• The domain is the set of all real numbers.

Line n is shown on the coordinate grid. The table of ordered pairs represents some points on line p. Which system of equations represents line n and line p?

• 3x - y = 2

  2x + y = 4

• 3x + y = -2

  2x + y = 4

• 3x - y = 2

  x + 2y = 4

• 3x + y = -2

  x + 2y = 4

The graph of quadratic function h is shown on the grid. Which function is best represented by the graph h?

• h(x) = -x² - 8x - 15

• h(x) = -x² + 8x - 15

• h(x) = x² + 8x + 15

• h(x) = x² - 8x + 15

The value of y varies directly with x. When the value of x is 4, the value of y is -12. What is the value of y when x = -6 ?

The constant of variation is ​ (a)  

The value of y when x=-6 is (b)  

• 18

• -3

• -2

• -1/3

• 1/3

• 2

• 3

• -18

What is the slope of a line that passes through the points (2, 3) and (4, 7)?

• 1

• 2

Which graph best represents a quadratic function that has no real zeros?

• A

• B

• C

• D

The graph of a line is represented by the equation 5x - 8y = 40. Which value represents the rate of change of y with respect to x for the equation?

• -8/5

• -5/8

• 5/8

• 8/5

Two customers purchased coffee and doughnuts at a coffee shop. Each cup of coffee costs the same amount, and each doughnut costs the same amount.

- The first customer paid $4.90 for 1 cup of coffee and 2 doughnuts.

- The second customer paid $8.60 for 2 cups of coffee and 3 doughnuts. What is the cost of 1 cup of coffee?

• $2.50

• $1.20

• $4.90

• $3.70

The graph of a linear function is shown. Which function best represents the relationship shown in the graph?

• y = -3/5x - 5

• y = -3/5x - 3

• y = -5/3x - 5

• y = -5/3x - 3

Two hikers begin hiking at the same time from different locations on a trail. The system of equations graphed on the grid represents this situation. Which value best represents the number of hours the two hikers have been hiking when they are the same distance from the start of the trail?

• 2.8 h

• 1.3 h

• 2.5 h

• 4.5 h