Expressions
Writing Equations
Solving Equations
Functions
Graphs
Modeling
Miscellaneous
100
Write a numerical expression to represent sixteen less than the quotient of twenty-one and 13.8.
21/13.8-16
100
Write an equation to represent this sentence: Four times the product of a number x and a number y is equal to 20.
4(xy)=20
100
Solve.
36 = 2p – 12
p=24
100
Is the graph shown a function?
Yes
100
Describe the line symmetry of the function shown.
symmetric at x=1
100
What is the domain of the relation shown in the graph?
D={-3, -1, 1, 5}
100
Which property can be used to show that if 3a = 4b and 4b = 5c, then 3a = 5c?
Transitive property of equality
200
Evaluate the expression for when a = 5, b = 3, and c = 2.
[(-3a+4b)^3]/(2c-1)
-9
200
Which equation represents the best line of fit?
Ⓐ y = 0.4x + 5.3
Ⓑ y = –0.7x + 6.7
Ⓒ y = –0.8x + 5.5
Ⓓ y = –1.4x + 9.8
B
200
Solve.
4(x + 9) = 6x + 4
x=16
200
Determine whether the function is continuous, discrete, or neither.
Continuous
200
Describe the end behavior of the function shown in the graph.
As x decreases, y decreases.
As x increases, y decreases.
200
A movie theater sells popcorn in a reusable bucket for $3.50. They offer refills for $2.50 each.
Write an equation in slope-intercept form to model the cost in dollars, y, for x refills.
y=2.5x+3.5
200
The standard length of a volleyball court is 60 feet. If 1 meter ≈ 3.3 feet, what is the length of the volleyball court in meters? Round to the nearest tenth, if necessary.
18.2 meters
300
Evaluate.
9^2-4[3(4/3)-2^2]
81
300
Write an equation for the nth term of the arithmetic sequence 1, 3, 5, 7, …
an=2n-1
300
Solve for x.
(15+ax)/2 = 11
x=7/a
300
Describe how the graph of g(x) = |x – 2| – 3 is related to the graph of the parent function.
Translated right 2 units and down 3 units
300
Identify the relative minima and maxima of the function shown in the graph.
Rel. Min. at D & E
Rel. Max. at A, B, & C
300
In a relation involving the cost of growing corn, the greater the number of acres planted, the greater the amount of corn produced. What are the independent and dependent variables?
Ind: # of acres planted
Dep: amt. of corn produced
300
Graph:
y=3/2x-4
400
What is the value of the following expression when x = -6?
2^4+1/4abs(9x+2)
29
400
Write the equation in standard form.
2.5y=5-0.5x
x+5y=10
400
Solve.
(x+15)/10=8/5
x=1
400
For f(x) = –3x + 7, find the value of f(–1) + f(4).
5
400
Estimate the x- and y-intercepts of this function and describe where the function is positive and negative.
x-int at (-2,0), (2,0), and (3,0)
y-int at (0,12)
Pos: when x is between -2 and 2 and when x>3
Neg: when x<-2 and when x is between 2 and 3
400
A linear regression model for a set of data gives a correlation coefficient of -0.82. Interpret the correlation coefficient.
There is a strong negative correlation.
(As one variable increases, the other decreases.)
400
What is the slope of the line that passes through (2, –3) and (–2, 10)?
-13/4
500
Simplify the expression.
(8x^2-16x-24)3/4
6x^2-12x-18
500
Write an equation in slope-intercept form for the line passing through the points (8, 33) and (5, 24).
y=3x+9
500
Solve.
3|y + 4| = 24
{-12, 4}
500
Write the inverse of the function.
f(x)=-4/3x+2/3
f^-1(x)=-3/4x+1/2
500
Write a function for the graph.
{(-2,x<=0),(x+1,x>1):}
500
A following set of data can be modeled by the regression line y = 1.2x + 3.5. What is the residual at x = 5?
0.5
500
Graph
4x-8y=16
