STAAR Released Algebra

Which expression is equivalent to (q^4)^{-3} for all values of q where the expression is defined?

• q^{27}

• \frac{1}{q^{27}}

• q^3

• \frac{1}{q^3}

What is the solution set for -4x + 10 ≥ 5x + 55?

• x ≥ 5

• x ≥ 45

• x ≤ -5

• x ≤ -45

Which expression is a factor of 21x^2 + 13x - 20?

• 3x - 4

• 7x - 5

• 7x + 4

• 3x + 5

What are the equation and slope of the line shown on the grid?

• y = 6; slope is 1/6

• x = 6; slope is zero.

• y = 6; slope is 6.

• x = 6; slope is undefined.

The graphs of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?

• g(x) = f(x) - 4

• g(x) = 1/3 f(x)

• g(x) = f(x) - 2

• g(x) = 3f(x)

The graph of quadratic function f is shown on the grid. Which of these best represents the domain of f?

• F. -3 ≤ x ≤ 2

• G. All real numbers

• H. y ≥ 5.5

• J. All real numbers less than -3 or greater than 2

What is the equation in slope-intercept form of the line that passes through the point (2, -2) and is perpendicular to the line represented by y = 2/5 x + 2?

• y = 5/2 x - 7

• y = -5/2 x + 7

• y = -5/2 x - 3

• y = 5/2 x + 3

Which graph best represents f(x) = 2(5)^x?

• Graph F

• Graph G

• Graph H

• Graph J

The area of a rectangular trampoline is 112 ft². The length of the trampoline is 6 ft greater than the width of the trampoline. This situation can be represented by the equation w² + 6w - 112 = 0. What is the width of the trampoline in feet?

• 7 ft

• 16 ft

• 8 ft

• 14 ft

The table shows the linear relationship between the balance of a student’s savings account and the number of weeks he has been saving. Savings Account | Week | 0 | 1 | 3 | 6 | 8 | 13 | | Balance (dollars) | 32 | 39 | 53 | 74 | 88 | 123 | Based on the table, what was the rate of change of the balance of the student’s savings account in dollars and cents per week? Record your answer and fill in the bubbles on your answer document.

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