Midterm Review

Last updated almost 4 years ago
48 questions
1

What is the largest integer?

1

What is the smallest integer?

1

What is the area, in cm^{2}? Write just the number.

1

How old is John now? Write just the number.

1

What is the minimum number of tickets?

1

Write the inequality. Use |x-#|<# format, no spaces.

1

What is the maximum time, to the nearest minute, that Jordan can take to meet his goal? Your answer should be an integer.

1

If c represents the cost of the laptop, and t describes years since 2011, which equation represents the cost of the laptop?

1

In what grade will they be the same height? Enter your answer as a number, no spaces.

1

What was his score? Enter a number, no spaces.

1

How many organisms were in the tank? Enter your answer as (s, a), where s is the number of spiders and a is the number of ants.

1

Select the combinations which are possible.

Also - I can find function inverses.
1

Select the transformations.

f(x) = 3(x-4)2+2

1

Give the vertex. Use (x, y) format.
f(x) = 3(x-4)2+2

1

Give the vertex. Use (x, y) format.

f(x) = -5/3(x+2)2

1

Give the increasing interval. Use (x1, x2) format with exactly one space after the comma.

f(x) = -5/3(x+2)2

1

Give the decreasing interval. Use (x1, x2) format with exactly one space after the comma.

f(x) = -5/3(x+2)2

2

Give the new function. Use the square root function. Use y=... format, no spaces.

1

Give the vertex. Use (x, y) format, with exactly one space after the comma. Put your answers in fraction form.

1

Give the range of the function. Use interval notation, one space after the comma.

1

What is the vertex? Use (x, y) format, with exactly one space after the comma.

1

Select the transformations from the parent function.

1

Write the new function in vertex form. Use y=a(x-h)2+k format, no spaces.

1

Find the inverse of
y = \sqrt{x-2}+4

Use y=... format, no spaces.

1

Find the inverse of
y = \frac{1}{2}\sqrt{x+1}

Use y=... format, no spaces.

1

Find the discriminant.

1

Solve by factoring. Use p={#, #}, list the smallest value first.

1

Discriminant? Enter a number, no spaces.

1

Solutions? Use h={#, #} format, with exactly one space after the comma. List the smaller number first.

1

Solutions? Use r={#, #} format, with exactly one space after the comma. List the smaller number first.

1

Solutions? Use b={#, #} format, with exactly one space after the comma. List the smaller number first.

1

Solutions? Use c={#, #} format, with exactly one space after the comma. List the smaller number first.

1

Solutions? Use s={#, #} format, with exactly one space after the comma. List the smaller number first.

1

Simplify. Use a+bi format, where a and b are real numbers. No spaces.

1

Simplify. Use a+bi format, where a and b are real numbers. No spaces.

1

Simplify.

1

*MEMORIZE*

Draggable itemCorresponding Item
the discriminant is negative
the quadratic has two real, rational solutions
discriminant is positive, but not a perfect square
the quadratic has two real, irrational solutions
discriminant is a positive perfect square
the quadratic has one unique solution with multiplicity two
the discrimant is zero
the quadratic has two nonreal solutions
1

Roots? Use x={#, ...} format, with exactly one space after each comma. List real roots first in increasing order, then imaginary roots with the negative one listed first.

1

Roots? Use x={#, ...} format, with exactly one space after each comma. List real roots first in increasing order, then imaginary roots with the negative one listed first.

1

Roots? Use x={#, ...} format, with exactly one space after each comma.List real roots first in increasing order, then imaginary roots with the negative one listed first.

1

Roots? Use x={#, ...} format, with exactly one space after each comma.List real roots first in increasing order, then imaginary roots with the negative one listed first.

1

Roots? Use x={#, ...} format, with exactly one space after each comma.List real roots first in increasing order, then imaginary roots with the negative one listed first.

1

Roots? Use x={#, ...} format, with exactly one space after each comma.List real roots first in increasing order, then imaginary roots with the negative one listed first.

1

Roots? Use x={#, ...} format, with exactly one space after each comma.List real roots first in increasing order, then imaginary roots with the negative one listed first.

1

The graph of r(x) _______ at its root.

1

Roots? Use x={#, ...} format, with exactly one space after each comma.List real roots first in increasing order, then imaginary roots with the negative one listed first.

1

Which root of t(x) has a multiplicity of 3? Your answer should be a number, no spaces.

1

*MEMORIZE
This won't turn green til all of them are right.

  • even degree negative leading coefficient
  • 5 - x
  • even degree, positive leading coefficient
  • -x2 + 22x4
  • x2 + 5
  • odd degree positive leading coefficient
  • x23 - x2
  • odd degree negative leading coefficient
  • x\rightarrow\infty, y\rightarrow\infty
    x\rightarrow -\infty, y\rightarrow\infty
  • x\rightarrow\infty, y\rightarrow\infty
    x\rightarrow -\infty, y\rightarrow -\infty
  • x\rightarrow\infty, y\rightarrow -\infty
    x\rightarrow -\infty, y\rightarrow -\infty
  • x\rightarrow\infty, y\rightarrow -\infty
    x\rightarrow -\infty, y\rightarrow\infty