ALGEBRA 1 PRACTICE QUESTIONS FOR STAAR TEST

Problem 1 :

Which expression is a factor of 10x² - 19x + 6 ?

A) 10x - 3           B) 10x  - 1           C) 5x - 3        D) 5x - 2

Solution

Problem 2 :

The table shows the linear relationship between the distance in feet below sea level and the time in seconds traveled by a submarine.

Submarine

What is the rate of change of the distance in feet below sea level with respect to time that the submarine traveled ?

Record your answer and fill in the bubbles on your answer document. 

Solution

Problem 3 :

Which equation best represents the line shown on the grid ? 

A) y = 0           B) y = -6          C) x = 0            D) x = -6

Solution

Problem 4 :

An insect population after x months can be modeled by the function g(x) = 18(1.3)^x. Which statement is the best interpretation of one of the values in this function ?   

F) The inspect population increased by 13 insects each month.

G) The inspect population decreased by 13 insects each month.

H) The inspect population increased at a rate of 30% each month.

J) The inspect population decreased at a rate of 30% each month.

Solution

Problem 5 :

The graph of y = -(1/6)x - 4 is shown on the grid.

Which ordered pair is in the solution set of  y > -(1/6)x - 4 ?

A) (-8, 8)     B) (6, -5)         C) (4, -6)        D) (-2, -7)

Solution

Problem 6 :

The conversion of degrees Celsius to degrees Fahrenheit can be  represented by a linear relationship. The graph shows the linear relationship between y, the temperature in degrees Fahrenheit, and x, the temperature in degrees Celsius from the freezing point of water.

Which equation best represents this situation ?

Solution

Problem 7 :

Which graph best represents the solution set for this system of inequalities ?

x + 2y < -2

y - x < 3

Solution

Problem 8 :

Which graph best represents h(x) = (x + 1) (x - 3) ?

Solution

Problem 9 :

The first six terms in a geometric sequence are shown, where a₁ = -4. 

Based on this information, which equation can be used to find the n^th term in the sequence, a_n ?

A) a_n = -4n      B) a_n = -(4)ⁿ           C) a_n = -n²         D) a_n = (-4)ⁿ

Solution

Problem 10 :

What is the solution to 4(q + 56.5) = 30q - 112 ?

Record your answer and fill in the bubbles on your answer document.

Solution

Problem 11 :

Which expression is equivalent to 36m² - 100 ?

A) (9m - 20) (4m + 5)            B) 4(3m - 5) (3m + 5)

C) 2(2m - 5) (9m + 10)           D) 4(3m - 5)²

Solution