Exploring the 2021 STAAR Algebra I Test: Problems 1-16

This video tutorial reviews Algebra 1 problems from a 2021 test, covering topics such as simplifying radicals, graphing linear functions, calculating rate of change, factoring quadratics, solving inequalities, understanding exponential functions, and determining the range of quadratic functions. The instructor emphasizes the importance of checking work using calculators and various methods.

What is the simplified form of the square root of 184?

• 13.56

• 2 times the square root of 46

• 4 times the square root of 23

• The square root of 92

Which function best represents a graph with a negative slope and a y-intercept of 4?

• y = -2/3x + 4

• y = 2/3x + 4

• y = -2x + 4

• y = 2x + 4

What is the rate of change of y with respect to x?

• 2

• 7

• 5

• 10

Which statement is true for the function g(x) = x^2 - 6x - 16?

• The factors are x - 2 and x + 8

• The zeros are 2 and -8

• The factors are x + 2 and x - 8

• The zeros are -2 and 8

Which ordered pair is in the solution set of 8x + 16y > 32?

• (0, 2)

• (-3, 5)

• (-1, 1)

• (4, 0)

Which graph could represent a quadratic function with exactly one zero at x = -3?

• Graph A

• Graph C

• Graph D

• Graph B

What is the solution to the equation after distributing and combining like terms?

• y = -4

• y = 2

• y = 4

• y = -2

Which expression is equivalent to (x^9yz^4)^5?

• x^45y^5z^20

• x^9y^1z^20

• x^9y^5z^4

• x^45yz^20

What is the range of values for the function modeling the ball's distance from the ground?

• 0 to 6.43

• 0 to 5

• 0 to 7.35

• 0 to 7.66

Which system of equations can be used to find the number of black and white and color copies?

• 0.15b + 0.08c = 68

• 8b + 15c = 68

• 0.08b + 0.15c = 68

• 0.08b + 0.15c = 6