STAAR Algebra 1

The graph shows the relationship between the height of a mountain climber and the total number of hours spent climbing. What does the y-intercept of the graph represent?

• The total number of hours the mountain climber has climbed.

• The initial height of the mountain climber.

• The total number of feet the mountain climber has climbed.

• The rate at which the mountain climber is climbing at.

The graph of f(x) = x is shown on the graph. Which statement about the relationship between the graph of f and the graph of g(x) = 2x is true?

• The graph of g is steeper than the graph of f.

• The graph of g is not as steep as the graph of f.

• The x-intercept of the graph of g is 2 units to the right of the x-intercept of the graph of f.

• The x-intercept of the graph of g is 2 units to the left of the x-intercept of the graph of f.

A publisher sells puzzle books. The publisher has fixed costs of $450, and each puzzle book costs an additional $0.50 to make. The publisher sells each book for $1.50. The graph of the system of linear equations representing the publisher's costs and revenue for manufacturing and selling x puzzle books is shown below. Which is closest to the number of books that this publisher will need to sell in order for costs and revenue to be equal?

• 1,000

• 700

• 675

• 450

The strength of the linear association between two variables can be determined by calculating the correlation coefficient, r. Which of the following would indicate the strongest linear association between the variables?

• r = −0.973

• r = −0.823

• r = 0.913

• r = 0.863

Which graph represents the solution set of 3x + 5y > −10?

• 
• 
• 
• 

Solve for x:

2(3x + 4) + 2 = 4 + 3x

• 2

• -2/3

• 10

• -2

What is the domain of f(x) = x² + 1

• All real numbers

• All real numbers greater than or equal to 1

• All real numbers greater than or equal to 0

• All real numbers less than or equal to 1

IF the domain is {2, 3, 4} for f(x)=3x+2, what is the range?

• {{8, 11, 14 }

• {5,8,11}

• {2,3,4}

• {2,5,8}

Hint:  Is the range the list of x-values or y-values?

• {x ∣ x = -2, 2, 4}
• {y ∣ -3 ≤ y ≤ 4}
• {x ∣ -2 ≤ x ≤ 4}
• {y ∣ y = -3, 0, 4}

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weigh 20 lbs. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by

f(x) = 20x + 4.

What is the range of the function for this situation?

• {0,1,2,3,4,5,6}

• {0,2,4,6}

• {4,24,44,64,84,104,124}

• {4,44,84,124}