algebra 1 STAAR review

Front

What is the result of subtracting the polynomials (3x²-3x+2)-(x²-2x+1)?

Back

2x²-x+1

Front

Which function is represented by the graph of a quadratic function that opens upwards and has a vertex at (3, -9)?

Back

h(x)=x²-6x

Front

What do the phrases 'At most' and 'No more than' indicate in an inequality?

Back

They indicate the use of the symbol ≤.

Front

Solve for A in the literal equation A = 2h.

Back

A = 2A/h.

Front

Classify the model A=1200(0.85)⁶ as Exponential Growth or Decay.

Back

Decay.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x-h)² + k, where (h, k) is the vertex.

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}.

Front

What does the discriminant of a quadratic equation tell us?

Back

It indicates the nature of the roots: if >0, two real roots; if =0, one real root; if <0, no real roots.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change (straight line), while quadratic functions have a variable rate of change (parabola).