Week 1 Summary Intermediate Algebra

When posting here in the Weekly Summary section please do not post “answers only” but rather show how you obtained your answers in a step by step manner. If your solution is correct, it is in your best interest for me to see how you obtained the answer. If your solution is incorrect, showing your steps will help me to follow your process and we can then work together to find your mistake.
No bonus points will be awarded for answers without explanations.
A maximum of 5 or .25 bonus points will be awarded for 5 correct answers with step by step explanations.
The weekly summary answers and explanations will be posted in the Announcement section by Friday of each week. Please try to work each problem without pasting and copying or you will defeat your purpose of learning. Credit will only be given for “original” work. Please feel free to study the explanations, learn the problem, and create your own step-by-step explanation for bonus points. You may post your explanations throughout the term
***NOTE: You may find it easier to submit a photo of your work on paper (especially for graphing).


Find the missing coordinate: ( ? , -1) for 3x – 4y = 11
Graph or explain how to graph: x = 5
Graph or explain how to graph the equation: y = 3x – 5
Which relations below are also functions?
a. {(1,1), (2,2), (3,3)}
b. {(1,1), (2,1), (3,1)}
c. {(1,1), (1,2), (1,3)}
d. {(1,1), (2,3), (1,3)}
e. {(1,2), (2,3), (3,2)}

What is an x-intercept? How do you find the x-intercept? What is a y-intercept? How do you find the y-intercept? Explain using 3x + 4y = 12.

Subtract the following polynomials: (4x² – 9x – 7) – (3x² – 5x – 6)
Multiply and combine like terms: (x – 10)(x + 9)
Multiply: (3x – 5y)2
Factor completely: 10r3s2 + 25r2s2 – 15r2s3
Factor the trinomial: 3×2 + 7x + 2
Factor by grouping: 2ax + 5a – 8x – 20

Simplify: -19 – (-6)(-3)+ 4 – (-2)
Multiply and simplify: -3xy(3x – y + 3z2)

Solve for x: -12x + 13 = -5x – 8

Write in scientific notation: 235.427

Factor: 9y2 – 16