Let's Review it Again!
Units 9-11
Functions
Equations / Inequalities
Word Problems / Graphs / Tables
100

Is this rational or irrational? And why?

Rational = FRACTIONS

100

(6k^2-18)-(9k^2-7k-13)

-3k^2+7k-5

100

Why is this a function or not a function?

Not a function. It does not pass the vertical line test.

100

List one point you can find from the graph.

(-3,0) (0,-1) (3,-2)

100

A person is planting grass seed in their backyard. If there is no restriction on the thickness of the soil layer, which quantity will help the person decide how much grass seed is needed to cover the yard? 

height of backyard fence, cost of grass seed, the total area of the yard, or area of the pool

total area of the yard

200

A school band is ordering different types of music notebooks for their members. There are x beginner notebooks, y intermediate notebooks, and z advanced notebooks. The total cost in dollars of the notebooks is given by the expression below. 4x+6y+3z

What do the coefficients in the expression represent?

the cost in dollars of each type of notebook 

200

Solve for x. 

2x^{2}+11x+9=0

x=-\frac{9}{2} and x=-1

200

What is g(-6)?

0

200

List out the steps for the following

Given, Distributive Property, Combining Like Terms, Subtraction Property, and Multiplication Property

200

A tutoring center charges a one-time registration fee plus a cost for each tutoring session. The total cost is represented by the function  C(s)=50+12s where s is the number of tutoring sessions and C(s) is the total cost in dollars. How much is the total cost if a student attends 4 tutoring sessions?

$98

300

A gym owner is studying the number of active gym memberships and notices that some members cancel each month. The owner determines that the function g(m)=300(0.92)^m 

The original number of members is _____ and _____ (increases/decreases) ____%.

 

The original number of members is 300 and decreases 8%.

300

Soskue shoots a basketball into the air. The height, in feet, of the basketball in relation to the ground can be modeled with the following equation.  f(s)=-6s^2+18s+4 where s is the time, in seconds. What is the maximum height, in feet, of the basketball?

17.5 feet

300

Given  f(x) = x^{2}+1 and  g(x)=|x+3|+4 which value of x is a solution to the equation f(x)=g(x) 

2 or 3 or -3 or 5

3

300

A taxi charges a flat rate of $1.75 plus $0.65 per mile. If you have no more than $10 to spend, how many miles can you travel rounded to the nearest tenth of a mile? 

What is the inequality equation and the solution?

m<= 12.7 

0.65m + 1.75 <= 10

300

A smoothie shop owner models the total revenue from selling smoothies using the equation below, where R represents the total revenue in dollars and s represents the number of smoothies sold:  R=100+ 30/2s 

The total money earned increases by $___ for every ___ smoothies sold.

$30 for every 2 smoothies sold

300

What is the rate of change from x=2 and x=6 with UNITS?

30 miles/hour

300

Find the solutions of the quadratic equation 

4x^2-2x=5

\frac{2\pm\sqrt{84}}{8}

300

The expression

450(4)^{2t}

represents the number of views on a viral video t days after it was first posted. What expression is equivalent to the original expression?

450(16)^{t}

300

The first five terms of a sequence is given:

2, 7, 12, 17, 22, . . .

What is the SIMPLIFIED equation?

5n-3

300

Given the function. Find the range for the given domain  {1, 2, 3}

f(x)=3^{x+5}

{729, 2187, 6561}

400

Miss Anderson always puts together a video for her drama class using the photos she took during the year. Before starting on this year's video, she expected to use 200 photos. When she was finished with the video, she had used 250 photos. What is the percent error for Miss Anderson's estimate?

20%

400

Consider the function  f(x)=x^{2}-6x+30 

Complete the square to find the y-value for the minimum value of the function. 

21

400

Which table is linear?

Student 1

400


16

400

What kind of transformation does the equation below represent?  f(x)=-(x+5)+2  And label which number tells you that

Reflection, Horizontal Translation, Vertical Translation, Stretch, Compression

Reflection, Horizontal Translation, Vertical Translation

500

What equation would be the line of best fit?

y=0.593x+2.441

500

-4x(x^2-3x+2)-(x-5)+7x(x^2+1)

3x^3+12x^2-2x+5

500

What BEST shows the values in the domain when the function is decreasing?

between 2 and 5

500

Solve for c. Write your solution as one big fraction answer and the fraction split.

y=ax+bc

c=y/b-{ax}/b

c={y-ax}/{b}

500

Which equation best models the data?

g(t)=-0.012t^{2}+1.023t+9.13