Midterm Exam II-Part II
Your cell phone contract has a base charge of $10 per month and a $0.03 per minute charge for nationwide calling.
A. Find five solutions for y= 0.03x + 10 by completing the table of values. (3 points)
| x | y = 0.03x + 10 | (x,y) |
| 0 | ||
| 60 | ||
| 120 | ||
| 180 | ||
| 240 |
B. Plot the ordered pairs to graph the above equation (2 points). Upload the completed table and graph.
Answer text Question 1
Question 2
Question text
Graph the equation y = 2x + 6 by finding the x- and y-intercepts and a check point.
Show your calculation of the x- and y-intercepts, and check point. In your graph, label the intercepts.
Answer text Question 2
Question 3
Question text
Property taxes have continued to increase year after year. Note that in 1990, a home’s taxes were $1200, and that same home’s taxes were $2600 in 2010. If x represents they year and y the real estate tax:
A. Calculate the slope. (3 points)
B. Explain, in your own words, the concept of slope (2 points)
Answer text Question 3
Question 4
Question text
For each of the equations below: (a) rewrite each in slope-intercept form by solving for y; (b) identify the slope; and (c) identify the y-intercept.
1. 5y = 10x + 4 (3 points)
2. 3x – 4y = 7 (3 points)
Answer text Question 4
(a) Rewrite in Slope-Intercept Form
(c) Identify the Y-Intercept
(a) Rewrite in Slope-Intercept Form
(b) Identify the Slope
(c) Identify the Y-Intercept
Question 5
Question text
The cost of graphing calculators over time has decreased. In 2000, one particular brand sold for $136, and in 2011 the same calculator sold for $92. Use the coordinates of the two points (2000, 136) and (2011,92) to write the equation (a) in point-slope form and (b) in slope-intercept form.
Note that you’re asked two forms of the equation. You may put your answers on the space provided below or you can upload your answer.
Answer text Question
Question 6
Question text
List the three possible outcomes when graphing a system of linear equations.
Answer text Question 6
Question 7
Question text
Solve the system below by graphing. State the solution (the intersection point) as an ordered pair (x,y) or state if there is no solution, or state if there an infinite number of solutions.
2x + y = -3
y = -2x – 3
Note: Show your solution and upload your graph.
Answer text Question
Question 8
Question text
Solve the system below by substitution method. If there were no solution or an infinite number of solutions, so state.
7x – 6y = -1
x – 2y = -1
Note: Show your complete solution.
Question 9
Question text
Solve the system by the addition method. Show your solution.
2w – 3z = -1
3w + 4z = 24
Note: You can use the space provided or upload your solution.
Answer text Question 9
Question 10
Question text
Add: (5x3 + 3x2 – 5x + 4) + (-2x3 + 4x2 – 8x – 2)
Question 11
Question text
Subtract:
(4x4 + 3x3 + 2x – 7) – (-2x3 + x2 – 4x + 5)
Answer text Question 11
Question 12
Question text
Simplify the expression using the exponent rule:
(y – 3) (2y2 + 3y + 5)
Answer text Question 12
Question 13
Question text
Find the product using the rule for finding the product of the sum and difference of two terms.
(4x3 + 8) (4x3 – 8)
Show your complete solution.
Answer text Question 13
Identify aa and bb
In the given expression:
(4×3+8)(4×3−8)(4x^3 + 8)(4x^3 – 8)
Question 14
Question text
Multiply using the rules for the square of a binomial.
a. (4x + 8)2
b. (5x – 2)2
Answer text Question 14
Solution for (b) (5x−2)2(5x – 2)^2
Question 15
Answer Preview-Midterm Exam II-Part II-MATH.10.HFS1
