SAT Math what are they looking for

Question 1

How would you find? Which is an equation of a circle with center (0,4) and a radius with endpoint (4/3 , 5 )?

Accepted Answer

Graph each of the possible equations to see which works

Question 2

How would you solve this? For i = √-1, what is the sum (7+3i) + (-8 + 9i)?

Accepted Answer

Combine like terms, give the answer as an integer plus i with a co

Question 3

How would you solve? Ted sent m texts per hr for 5 hr, Ty sent p texts per hr for 4 hr. Write an equation for total hrs?

Accepted Answer

Set up the equation for Ted and Ty, then combine the two

Question 4

How would you solve? 3x + 4y = -23 and 2y-x = -19. What is the solution (x,y) to the system of equations?

Accepted Answer

Double an equation then subtract

Question 5

How would you solve? If a÷b = 2, what is the value of 4b ÷ a?

Accepted Answer

Rearrange the initial equation until it appeared as 4b÷a = something

Question 6

How would you solve? If y = kx, where k is a constant, and y = 24 when x = 6, what is the value of y when x = 5.

Accepted Answer

Plug in 24 for y and 6 for x, then solve for k, then solve again for x = 5

Question 7

How would you solve this? If (x-1) ÷ 3 = k and k = 3, what is the value of x?

Accepted Answer

Plug in 3 for k... (x-1) ÷ 3 = 3 and solve

Question 8

How would you find? If 3x - y = 12, what is the value of 8x ÷ 2y?

Accepted Answer

Use the fact that 8x= (23)x and the properties of dividing exponents

Question 9

How would you solve? If t > 0 and t2 - 4 = 0, what is the value of t?

Accepted Answer

Use a2 - b2 = (a+b)*(a-b)

Question 10

How would you solve? Which of the following is equivalent to the expression: (x2y - 3y2 + 5xy2) - (-x2y + 3xy2- 3y2)

Accepted Answer

Subtract the similar terms in second parentheses from those in the first

Question 11

How would you solve? For the function g(x)=ax2+24, a is a constant and g(4)=8. What is the value of g(-4)?

Accepted Answer

Replace x with 4, and g(x) with 8 to find a value for a, then plug in -4

Question 12

How would you solve? If 16 + 4x is 10 more than 14, what is the value of 8x?

Accepted Answer

Write 16 + 4x = 14 + 10, then solve for x, then multiply by 8

Question 13

Give the most efficient way to find Which of the following numbers is NOT a solution of the inequality 3x - 5 ≥ 4x - 3 ?

Accepted Answer

Isolate x, then find the value which does not fit the inequality

Question 14

How would you solve? If a = 5√2 and 2a = √2x, what is the value of x?

Accepted Answer

Multiply 5√2 by 2, then get rid of the √2 part to find x

Question 15

How would you solve? x + y = -9 and x + 2y = -25. According to the system of equations, what is the value of x?

Accepted Answer

Isolate y then set the equations equal and solve for x

Questions 15