STAAR Category 1 Spring 2023

Which expression is a factor of 30x² - 4x - 16?

• 5x + 4

• 3x - 2

• 5x - 4

• 3x - 4

Which expression is equivalent to (x^3/7)²?

• x^6/14

• x^17/7

• x^6/7

• x^5/7

What is the quotient represented by the expression shown for all values w where the expression is defined?

• 4w + 12

• 4w - 12

• w - 3

• w + 3

Which expression is equivalent to √(600)

• 6√(10)

• 10√(6)

• 24√(25)

• 25√(24)

Which expressions are equivalent to 12x² - 48x + 48?

Select TWO answers.

• 12(x - 2)²

• -12(x² + 4x + 4)

• 12(x - 4)(x - 1)

• -12(x + 2)²

• 12(x² - 4x + 4)

A sequence is defined by f(1) = 27 and f(n) = 1/3f(n - 1) for each whole number n, where n > 1. What are the first four terms of the sequence?

• 27, 9, 3, 1

• 27, 81, 243, 729

• 1/3, 28/3, 55/3, 82/3

• 1/3, 1/81, 1/2187, 1/59049

Which expression is equivalent to (2a + 5)(3a - 2)?

• 17a - 10

• 6a² - 10

• 6a² + 11a - 10

• 6a² + 19a + 10

The expression x⁶y³÷(x²/y) can be written as a product of two exponential terms for bases x and y for all values of x and y where the expression is defined. Choose the correct value of the exponent for each term.

Move the correct answer to each box. Each answer may be used more than once. Not all answer will be used.

x^​ ​ (a)   y​ (b)  

• -3
• 2
• 3
• 4
• 8

Which expression is equivalent to 24gh - 12g² + 18g?

• 6g(4h - 12g + 18)

• 12g(2h - 12g + 18)

• 6g(4h - 2g + 3)

• 12g(2h - g + 3)

Which equation is equivalent to S = Ph + 2B when solved for B?

• B = (S - Ph)/2

• B = (2S)/(Ph)

• B = (SPh)/2

• B = (S - 2)/Ph