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Week 4 Homework:
1. Solve the formula for R: A = p + PRT
2. Solve the equations:
a) 17y – 2(3 + 10y) = 8(3y – 1)
b) 3(2x + 5) – 7 = 2(3x – 4)
c) 5 – (x + 2) = (x + 4) – (2x + 1)
3. Solve the Equation: 0.6(2x -6) – 5x = -0.4(3x – 4)
4. A bank offers a simple interest rate of 8% a year for a special savings account. If you
deposit $700 in the account today and then make no new deposits or withdrawals, how
much will you have in the account in 5 years?
5. A gallon of paint covers 160 square feet. How much paint is needed to cover
four walls that are 10 by 8 feet each?
7. Use the graph to answer the questions below:
a) Find the percent increase in number of endangered species from 1985 to 1998.
b) Find the percent increase in number of endangered species from 1980 to 1998.
c) Find the percent increase in number of endangered species from 2002 to 2005.
d) If there is a 12% increase in number of endangered animal species from 2005 to
2008, what will the number of endangered animal species be in 2008?
8. Solve the equation:
7 2 5  
3 7
3
y
y

 
9. Write the percent as a fraction in lowest terms and as a decimal: 24%
10. State whether each of the following inequalities is TRUE or FALSE, and explain your
reasoning for each.
a) 5*3 < 5 + 3
b) 4*7 > 2(4 + 3)
c) | 3 – 8 | < | 8 – 3 |
d) | -4 – 4 | > | -2 – 2 |
e) -9
2 < (-9)2

Math 012 Spring
2019 Midterm
Page 1
1 Solve the equation below. Show all work following the methods discussed in class. If the
equation has a unique solution, please show the complete check of your answer.
7(4x + 5)= −5 + 8(8x − 4)
2 Solve the equation below. Show all work following the methods discussed in class. If the
equation has a unique solution, please show the complete check of your answer.
48 − 5(1− n)= 3(4 − 2n)− 2
3 Solve the equation below. Show all work following the methods discussed in class. If the
equation has a unique solution, please show the complete check of your answer.
5(y + 4)− 2(1− 3y) =11y − 7
4 Solve the equation below. Show all work following the methods discussed in class. If the
equation has a unique solution, please show the complete check of your answer.
17
m + 1 = 2
m + 29
5 3 5 6
5 If there are 435 Members of Congress and 57 more Republicans than Democrats, how many of
each party are there, assuming that there are no Independents?
6 Janet set off on a bicycle trip at 6:30 am at an average rate of 24 miles per hour. Her husband,
Bob, promised to bring her some lunch, and he set off by car 2 hours after Janet left, driving at
an average speed of 40 miles per hour. At what time did Bob catch up with Janet?
7 Solve the inequality below. Write the solution set using interval notation and graph the solution
set on a number line.
9x − 3 ≤17x −19
8 Solve the compound inequality below. Write the solution set using interval notation and graph the
solution set on a number line.
−23 ≤ 7x − 2 <12
Math 012 Fall 2018
Midterm
Page 2
9 Find at least three ordered pairs that satisfy the following equation and graph the line
through them. Show all work.
3x + 2 y =12
10 Find at least three ordered pairs that satisfy the following equation and graph the line
through them. Show all work.
x − 2 y = 8
11 Draw the line through the point (4, 5) that is parallel to the y-axis. Write the equation of this line
and state its slope.
12 Given the linear equation 7x − 5 y = −15 , find the slope and y-intercept of the line. Write the
slope in simplest form and the y-intercept as an ordered pair. Show all work.
13 Given the points (-3, 5) and (6, -2):
a) Find the slope of the line through the points.
b) Write an equation in point-slope form of the line through the points.
c) Convert the equation to slope-intercept form.
d) Convert the equation to standard form, Ax + By = C, where A, B, and C are integers.
e) Graph the equation.
14 Write an equation in point-slope form of the line through the point (-5, 2) perpendicular to the
line with equation 4x + 3y = 7.
15 The number of Starbucks stores in the US in 2005 was 8896. In 2014, there were 11,965
Starbucks stores in the US. Let y be the number of Starbucks stores in the US in the year x,
where x = 0 represents the year 2005.
• Write a linear equation in slope-intercept form that models the growth in the number of
Starbucks stores in the US in terms of x. [Hint: the line must pass through the points (0,
8896) and (9, 11965)].
• Use this equation to predict the number of Starbucks stores in the US in the year 2020.
Math 012 Fall 2018
Midterm
Page 3
16 Answer each of the questions below:
• Write the number in scientific notation: 2,354,107
• Write the number in scientific notation: 0.0512
2)
17 Simplify. Write the answer using positive exponents only.
(3×7 y8
)(5×9 y12 ) =
18 Simplify. Write the answer using positive exponents only.
(2x5y−3
)
4
=
19 Perform the indicated operations and simplify:
(9×2 + 2x + 3)−(4×2 + 3x − 7) =
20 Perform the indicated operations and simplify:
(5x−3)(8×2 −4x+15) =