STAAR EXAM PRACTICE QUESTIONS IN ALGEBRA 1

Problem 1 :

Which answer choice describes how the graph of f(x) = x² was transformed to create the graph of n(x) = x² – 1 ?

A)  A vertical shift up        B)  A horizontal shift to the left

C)  A vertical shift down      D)  A horizontal shift to the right

Solution

Problem 2 :

The expression d² – d – 6 can be written in factored form as (d + 2) (d + k), where k represents a number. What is the value of k ? Record your answer and fill in the bubbles on your answer document.

Solution

Problem 3 :

The graph of a linear function is shown on the grid.

Which equation is best represented by this graph ?

Solution

Problem 4 :

Which expression is equivalent to (c⁸(d⁶)³)/c² for all values of c for which the expression is defined ?

F)  c⁴d⁹        G)  c⁴d¹⁸        H)  c⁶d⁹           J)  c⁶d¹⁸

Solution

Problem 5 :

Which value of x is the solution to this equation ?

5x² = 30x – 45

A)  x = 3       B)  x = -3         C)  x = 5           D)  x = -5

Solution

Problem 6 :

A florist is making bouquets of flowers for a wedding. Each bouquet will have 9 flowers. The graph shows the linear relationship between y, the number of flowers used, and x, the number of bouquets.

The florist will use no more than 8 bouquets for the wedding. Which set best represents the domain of the function for this situation ?

F) {0, 2, 4, 6, 8, 10}            G) {0, 1, 2, 3, 4, 5, 6, 7, 8}

H) {0, 18, 36, 54, 72, 90}    J) {0, 9, 18, 27, 36, 45, 54, 63, 72}

Solution

Problem 7 :

The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers.

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

A) 5/2    B) -6/5     C) 2/3      D) -5/6

Solution

Problem 8 :

What is the value of the y – intercept of the graph of h(x) = 12.3(4.9)^x ? Record your answer and fill in the bubbles on your answer document.

Problem 9 :

Which expression is equivalent to (8.8 × 10⁹)/(2.2 × 10^-3)

A) 4 × 10¹²      B) 4 × 10⁶          C) 4 × 10^-3        D) 4 × 10^-6

Problem 10:

A person dives into a pool from its edge to swim to the other side. The table shows the depth in feet of the person from the surface of the water after x seconds. The data can be modeled by a quadratic function.

Pool

Which function best models the data ?

F) d(x) = 0.05x² + 0.74x        G) d(x) = 0.05x² + 0.74x + 9.17

H) d(x) = 0.26x² - 3.11x         J) d(x) = 0.26x² - 3.11x  + 1

Solution