1. Solve for the variable:
−2(a−3)=16 -2a-3=16
Enter the answer only with no spaces between signs and numbers; do not enter the
letter of the variable. Examples of correct responses:
6 1/2 0.342 -11 -3/5 Enter your answer in "variable=answer" format with no spaces. Write fractions using
"/". For example:
x=5 y=-3 z=5/7 2. A television commercial advertises that a certain type of light bulb will last, on the
average, 200 hours longer than three times the life of another type of bulb. If consumer
tests show that the advertised bulb lasts 4700 hours, how many hours must the other
type of bulb last for the advertiser’s claim to be valid?
Give answer as number only; do not include units of measure 3. Find the correct solution set that satisfies the inequality
5x+2≥7(x+2)
Question 3 options:
a. x≥6
b. x≥−6
c. x≤−6
d. x≤6 4. Using the given information, write the equation of the lines in slope-intercept form:
A. Slope = - 11 , y - intercept = - 4
B. m = 3, line passes through (4 , 1) Enter equations without spaces between alphanumeric characters and signs. Examples
of correctly-entered responses are:
a. y=3x+5
b. y=-5x-22
c. 3x-5y=13
d. 2x+7y=-23 5. Find the equation in general (standard) form of the line passing through (0 , –5) and
(6 , –1)
a. y= 2/3x − 5
b. 2x − 3y = 15
c. −2/3x + y=−5
d. x + y=−5 6. Question 6 options:
a. (4,3) ; (−3,2) ; (1,−4) ; (−4,−1)
b. (−4,−3) ; (3,−2) ; (−1,4) ; (4,1)
c. (−4,3) ; (−3,−2) ; (1,4) ; (−4,1) d. (−3,−4) ; (−2,3) ; (1,4) ; (4,−1) 7. Using the accompanying graph, determine the equation of the line a. y=1/2x -1
b. y=-2x + 1
c. y= 2x + 1
d. y=1/2x + 1 8. Using the accompanying graph, determine the equation of the line a. a. x=−3
b. y=−3x−3
c. y= -3
d. y=x-3 9. A town’s population has been increasing at a constant (linear) rate. In 2010 the
population was 46,020. By 2012 the population had increased to 52,070. Assume this
trend continues.
a. The town's predicted population in the year 2020 is:
b. In what year will the town's predicted population be 103495? 10. A phone company has a monthly cellular data plan where a customer pays a flat
monthly fee of $10 and then a certain amount of money per megabyte (MB) of data
used on the phone. If a customer uses 20 MB, the monthly cost will be $11.20. If the
customer uses 130 MB, the monthly cost will be $17.80. a. Find a linear equation for the monthly cost of the data plan C as a function of x, the
number of MB used.
Enter equation without any spaces between alphanumeric characters and signs. Enter
any decimal values less than 1 with a "0" before the decimal point. Examples of
correctly-entered response are
C=2x+5 C=0.03x–22 C=–4x+0.35 b. Use your equation to find the total monthly cost (in $) if 250MB are used. Enter
number value only (no "$" sign) with answer rounded to nearest cent (2 places after
decimal) 11. In 2003, the owl population P in a park was measured to be 340. By 2007, the
population was measured again to be 285. The population changes linearly. Let the
input t be years since 2003.
a. Find a formula for the owl population, P. Let the input be years t since 2003.
Enter equation without any spaces between alphanumeric characters and signs. Exact
values required; do not round off any number values. Enter any decimal values less
than 1 with a "0" before the decimal point, and round decimal answers to nearest
hundredth (two places after decimal) Examples of correctly-entered responses are
P=2t+5 P=0.03t–22 P=–4t+0.34 What does your model predict the park's owl population to be in 2019? Give answer
rounded to nearest whole number ("whole owl" 12. The U.S. Census tracks the percentage of persons 25 years or older who are
college graduates. That data for several years is given below.
Year
1992 94 96 98 2000 02 04 06 2008
% College
21.4 22.2 23.6 24.4 25.6 26.7 27.7 28.0 29.4
Graduates
Which scatterplot and linear regression ("line-of-best-fit") equation correctly represents
the linear model formed from this data?
a. b. 13. The graph below depicts which of the following inequalities? a. a. y>x+2
b. y≥x+2
c. y<x+2
d. y≤x+2 14. The accompanying graph depicts which of the following inequalities?
Question 14 options:
2x+3y<6
2x+3y>6
2x+3y≤6
2x+3y≥6