Hi, I have a question for # 4 on pg. 78. Wouldn’t the answer to that question be -3?

Hi Mike… QAS March 2021, Section 3, # 20. Since “no solution,” can you consider each side a separate parallel line & use corresponding coefficients to confirm that k must equal 1/2? Or, what’s the best way to solve?

1/2x + 5 = kx + 7

In the given equation, k is a constant. The equation has no solution. What is the value of k?

Test 9 Section 4 Question 15

Hi Mike… can you solve this and explain please? Thanks!

ax + 5y = 8

12x + 15y = 10

In the given system of equations, a is a constant. If the system has no solutions, what is the value of a ?

Hi! May you please explain number 8 from the practice questions in the “lines” chapter? I understand that A is the correct answer after looking at the table values, but I don’t understand it from the equation itself. Thanks!

How do you do Test 9 section 3 number 20?

When a system of linear equations has no solution, that means you have parallel lines, which means the lines have the same slope. So put both equations into slope-intercept form (y = mx + b) first: In order for those lines to be parallel, their slopes must be equal, which means 2/5 = -4/k. That means k must be (more…)

Trigonometry does the trick here. Below is that line making a 42° angle with the positive x-axis. I’ve also drawn a dotted segment to make myself a neat little right triangle. Remember that slope is rise over run—how high the line climbs divided by how far it travels right. In this case, the dotted segment (more…)

In the system of equations above, a and b represent the cost, in dollars, of buying x buffalo wings at two different restaurants. What amount of money will get you the same number of buffalo wings at both restaurants?

Can you work out problem #11 of section four in Official SAT #5?

Note that f(x) is a line in slope-intercept form, where a is the slope and b is the intercept. Once you recognize that, you just need to know that, notationally, the –2 in front of f(x) means you multiply the whole thing by –2. So: That’s still a line, but now the slope is –2a. from Tumblr (more…)

Note that f(x) is a line in slope-intercept form, where a is the slope and b is the intercept. Once you recognize that, you just need to know that, notationally, the –2 in front of f(x) means you multiply the whole thing by –2. So: That’s still a line, but now the slope is –2a. from Tumblr (more…)

Hi. Would it be possible for you to explain #13 on SAT practice test 5 on calculator inactive (the tea bag problem)? I think the main reason I found it confusing was the wording, and the SAT explanation for the answer was also a little bit wordy.

Thanks

Test 8 Section 3 #13

The graph of a linear function f has a positive slope with intercepts (a,0) and (0,b), where a and b are non-zero integers. Which of the following statements about a and b could be true?

A) a + b = 0

B) a – 2b = 0

C) a = b

D) 0 <a < b

(I only know that Choice C is out because that would be true only if the slope=1 and the line passed through the origin, but since a and b are non-zero integers, there can be no point (0,0), so that one answer choice is out. )