Hi, Mike. How would you say the two math sections of the SAT are different (besides the obvious calculator use and the timing/number of questions)? I’m thinking in terms of content covered, types of questions, etc. Thanks!

# Hi! Love your book so far. I just started reviewing…

Hi! Love your book so far. I just started reviewing. I looked at number 10 in the first section on page 29 and I was wondering how would you pick the correct answer if you chose to substitute 8 for d? Because both answer choices a and d work. Would you just try all the answer choices and choose different variable values and try again or is there a different way to approach it?

# What am I not seeing?

4x + y = 7

2x – 7y = 1

If I multiply the second equation by 2, I can stack them and subtract:

4x + y = 7

4x – 14y = 2

So, 15y = 5, —> y = 3

Then: 2x – 7(3) = 1 –> 2x – 21 = 3 —> 2x = 24 –> x = 12

But: 4x + 3 = 7 –> 4x = 4 –> x = 1

What am I not seeing? The answer should be x= 5/3.

# y -x =2 and y + x= -2 ,Then ( x+y)(x-y)=?

y -x =2 and y + x= -2 ,Then ( x+y)(x-y)=?

# Test 9 Section 4 Question 16

Test 9 Section 4 Question 16

# Test 9 Section 4 Question 15

Test 9 Section 4 Question 15

# Official Test 9 Section 4 #24

Hi Mike… can you work through the steps to solve Q 24 from Official Test 9 Section 4? thanks!

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

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 ?

# In this equation, k is a constant…

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, I don’t have a question, I just wanted to say thank you for your work.

Hi Mike,

I don’t have a question, I just wanted to say thank you for your work.

# Test 8 Section 3 Question 6

Hello Mike, I was struggling to make sense of question #6 on the Math (No calculator) section on the SAT Practice Test #8. Can you please explain the steps to properly solve it. Thank you for your time.

# What is the set of all solutions to the equation square root of (x+2)=-x?

What is the set of all solutions to the equation square root of (x+2)=-x

A){-1,2}

B){-1}

C){2}

D)There are no solutions to the given equation

Show your work, or tell me how you got your answer thanks.

# The lengths of the sides of a rectangle are a and b…

The lengths of the sides of a rectangle are a and b, where a > b The sum of the lengths of the two shorter sides and one of the longer sides of the rectangle is 36. What value of a maximizes the area of the rectangle?

A .9

B. 12

C. 18

D. 24

The answer is C. I suspect there is an easier way to solve than completing the square and finding the vertex of the resulting quadratic function. What is your most direct, easy to understand solution to this calculator-allowed question?

# For the given function g, which of the following equivalent forms…

g(x) = 1/5 (5)^(x+4)

For the given function g, which of the following equivalent forms shows the y-coordinate of the y-intercept of the graph of y=g(x) in the xy-plane as a constant or coefficient?

A. g(x) = 125(5)^x

B. g(x) = 25(5)^(x+1)

C. g(x) = 5(5)^(x+2)

D. g(x) = (5)^(x+3)

Choice A is correct, but why?

# The function f is defined by a polynomial…

x f(x)

____________

-5 0

-1 36

0 0

1 6

2 0

The function f is defined by a polynomial. Some values of x and f(x) are shown in the table above. Which of the following could define f?

A) (x – 5) (x + 2)

B) (x + 5)^2 (x – 2)^3

C) x^2 (x + 5) (x – 2)^2

D) x (x + 5) (x – 2)

Specifically, can you explain why C is correct but D cannot be?