Honors Algebra 1 Final Exam Review

These flashcards cover key concepts and problem-solving techniques from the Honors Algebra 1 semester review.

What is the solution for b in the equation 6 = 1 - b?

b = -5

Solve for n in the equation n + 5n + 7 = 43.

n = 6

What is the value of z in the equation -4(2z + 6) - 12 = 4?

z = -1

Solve the equation 5(1 + x) = 5x + 5 for x.

Any real number, identity equation.

What is the value of n in the equation 3(n + 4) = 1/2(6n + 4)?

n = 2.

What does the variable h represent in the equation 2πr² + 2πrh = A?

The height of the cylinder.

Solve for y in the equation a = 9y + 3x.

y = (a - 3x)/9.

State the intercepts and slope of the line 8x - 4y = 16.

y-intercept: -4; x-intercept: 2; slope: 2.

Write the slope-intercept form of a line with slope -1/2 and y-intercept 1.

y = -1/2x + 1.

What is the recursive rule for the sequence 11, 10, 9, 8, …?

an = a(n-1) - 1 with a_1 = 11.

How do you solve the system of equations y = -4x + 3 and x + 4y = 6?

By substitution or elimination method.

Translate 'Twice a number d minus 2 is at most 1' into inequality.

2d - 2 ≤ 1.

What is the simplified form of the expression y^3 • y^(-5)?

y^(-2).

What does the expression 4x² - 9 represent when factored?

(2x - 3)(2x + 3).

What polynomial represents the number of feet of wallpaper needed if Tammy's room dimensions are x?

2(x + 3) + 2(x + y) - 3.

Find the perimeter polynomial of Tammy's cube with side length 4x + 8.

P = 12(4x + 8).

Graph the quadratic function f(x) = x² + 4x + 3. What is the vertex?

Vertex: (-2, -1) is a minimum.

How do you determine if a parabola has been reflected?

If the coefficient of x² is negative.

What is the significance of the axis of symmetry of a parabola?

It is the line that divides the parabola into two symmetrical halves.

What can you tell about the range of a quadratic function based on its vertex?

The range is determined by the y-value of the vertex.

What is the difference between standard form and vertex form of a quadratic equation?

Standard form is ax² + bx + c; vertex form is a(x-h)² + k.