Honors Algebra 1 Semester 2 Final Review Flashcards

A set of practice flashcards covering Honors Algebra 1 Semester 2 topics: polynomials, quadratic functions, factoring, radical simplification, and word problems.

What tools are permitted for use during the Honors Algebra 1 Semester 2 Final Exam?

A scientific calculator and/or the Desmos Test Mode App Scientific on the iPad.

How should the polynomial expression $6x+3x^{2}-2$ be classified by degree and number of terms?

It is a quadratic trinomial.

What is the leading coefficient of the polynomial expression $6x+3x^{2}-2$?

$$3$$

What is the leading coefficient of the polynomial expression $3-5x$?

$$-5$$

What is the standard form of the expression $(x^{2}+2x+5)-(-2x^{2}+6)$?

$$3x^{2}+2x-1$$

Based on the pattern of squares shown in problem 6, which function represents the number of small squares?

$$f(x) = x^{2}+4$$

In the rocket position function $s(t) = -4t^{2} + 30t + 10$, what does the constant term $10$ represent?

The rocket begins $10$ meters above the ground.

Is the graph representing the rocket's position $s(t) = -4t^{2} + 30t + 10$ concave up or concave down?

Concave down

According to the graph in problem 8, what is the maximum height reached by the rock?

The maximum height is about $9$ feet.

In a quadratic function $f(x) = ax^{2} + bx + c$, which coefficient determines the y-intercept?

$$c$$

If the coefficient $b = 0$ in the function $f(x) = ax^{2} + bx + c$, where on the graph does the vertex fall?

The vertex falls on the y-axis.

What is the vertex of the function $f(x) = 2(x+3)^{2} - 7$?

$$(-3, -7)$$

What is the vertex of the function $g(x) = (x-2)^{2} + 5$?

$$(2, 5)$$

What is the simplest rational form of $\sqrt{72}$?

$$6\sqrt{2}$$

What is the simplified form of $\sqrt{20}-3\sqrt{5}$?

$$-\sqrt{5}$$

What is the result of the radical multiplication $3\sqrt{5} \times 6\sqrt{8}$?

$$36\sqrt{10}$$

How is $\sqrt[4]{x^{4}}$ written in exponential form?

$x^{\frac{4}{4}}$ or $x^{1}$

Which of the following polynomial equations has a double root (1 solution): $x^{2} - 16x + 64 = 0$ or $(2x+1)(x-6)=0$?

$$x^{2} - 16x + 64 = 0$$

What is the completely factored form of $m^{2} + 2m - 24$?

$$(m+6)(m-4)$$

Using the function $h(t) = -4t^{2} + 32t - 44$, how many seconds after launch does the baseball reach its maximum height?

$4$ seconds