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 ?

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Author: Becky

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

# In this equation, k is a constant…

# Hi Mike, can you explain how to solve SAT 8, Section 3, #6 as a “system of equations?” Thanks.

# Question from March SAT: Section 4 #33

# Question from March 2018 SAT: section 3 #15

# Test 7 Section 4 Question 6

# Can you please explain Question 11, Test 6, section 3?

# SAT 8, Section 3, Number 7

# Test 7, Section 4, Number 38

# Test 7, Section 3, #13

# Hi Mike, I find these Qs confusing and I lose valuable time trying to think my way through them…

# If the sum of the first six terms of an arithmetic sequence is 78 and the sixth term is 23…

# If (ax+2)(3x-5b) -bx^2 = -11x^2+36x-20, what is the value of a+b?

# If f(x)=3x-1 and g(x)=4x+2, what is the value of g(f(0)+2)?

# A function is defined for x and y such that f(x,y) = -2xy + y + x – 4…

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 ?

Some help please, Mike?

x^2 – 12x +k = 0 In this equation, k is a constant. For which values of k does the equation have only one solution? I know I can set the discriminant to zero and solve for k. But is there another way to solve? Thanks!

Hi Mike, can you explain how to solve SAT 8, Section 3, #6 as a “system of equations?” Thanks.

Question from March SAT: Section 4 #33

Question from March 2018 SAT: section 3 #15

Hi Mike…SAT 7, Section 4, Q6: I now see the shortcut here (that both sides of the equation are perfect squares,) but if I did expand and FOIL the left side, wouldn’t I still get the correct “a” values even though it takes longer? I can’t get it to work !! Can you please show the alternate path math steps? Or is recognizing the perfect squares the ONLY way to solve this one ? Thanks!

Hi Mike, Can you please explain Question 11, Test 6, section 3 ? I know the parabola opens downward, but I’m confused after that. Thanks.

Hi Mike, I’m asking about SAT 8, Section 3, Number 7. Is it always best to immediately plug in answer choices on questions like this? For the algebraic practice, I rewrote the equation as a quadratic and solved for (x=5) and (x= -1). Then sub’d each value back into the given equation to find that only (x=5) worked. OK…but what a time-killer at #7 out of 20. Any other solution path to consider? Thanks!

Hi Mike, Test 7, Section 4, Number 38. Probability: I keep losing track trying to think this through. Other than the table provided, is there a chart I can draw that will help me “see” the probabilities? Or, what’s the best / quickest way to manage this one? Thanks !

Hi Mike, Can you work the solution for Test 7, Section 3, #13? Thanks!

Hi Mike, I find these Qs confusing and I lose valuable time trying to think my way through them (usually get them wrong anyway!) What’s a good stepwise approach? Thanks!

If 6 < |x-3| < 7 and x < 0, what is one possible value of |x| ?

Hey Mike, Is there a way do to this sequence problem without using the

“S=n[a1 + a…]” formula?

In an arithmetic sequence, each term after the first is found by adding the same number to the preceding term. If the sum of the first six terms of an arithmetic sequence is 78 and the sixth term is 23, what is the second term?

A) 3 B) 4 C) 7 D) 10 (The correct answer is 7)

If (ax+2)(3x-5b) -bx^2 = -11x^2+36x-20, what is the value of a+b? Correct ans is -1. Is it possible to solve for expression?

This is considered an “easy” Q. Answer is 6, but I keep getting 7.

If f(x)=3x-1 and g(x)=4x+2, what is the value of g(f(0)+2)?

Functions – – Ugh!

A function is defined for x and y such that f(x,y) = -2xy + y + x – 4. So, for x=2 and y=3, f(2,3)= -2x2x3+3+2-4 = -12+1 = -11. If x and y are to be chosen such that f(x,y) = f(y,x), then which of the following restrictions must be placed on x and y?

A) x>0 and y>0

B) x<0 and y<0

C) x = y

D) No restrictions are needed