Yangming Academy SAT Math Chapter 3 Systems and Solutions

M2：the given system of inequalities y>-5x-10 and y>4x+22 graphed in xy-plane, which point(x,y) is possible

E5: the system y= x²+11 and y=47 intersects at the point (x,y), which of the following could be the value of x ?

Hard1: What is the value of a if the equation 0.4(15x -5) = a(1-3x)

M11. If(x,y) is a solution to the given system of equations y/2=2x + 10 and y =-0.5x²+44, if x>0, what is the value of x

M12. M questions are worth 5 fewer points than S. Tom earns 36 points with 4 M and 3 S correct. how about each M worth

M4: The point (x, y) is the solution to the given system of equations -2x+y=33 and 3x-2y=16. what is the value of x-y

E1-: When graphed in the xy-plane, 4a-3b=14; a+3b=6 two lines intersect at the point(a,b), what is a?

Hard5. For y=xx+4x+14 and y=2k, what the value of k if the equations has only one real solution?

M7: Which of the following must be true if x + y >c and x - y <k, if the point (0,0) satisies the solution

M10. If the equation 4x - 3x(c-1) = 2x has infinitely many solutions, and c is a constant, what is the value of c

M8: How many distinct real solutions does the equation 11x² - 3x - 8=0 have ?

Hard4. for ax²-6x=-6, If there are no real solutions to it, the value of a is

Hard2: T7/he equation 5x +7 = c(x+d), c and d are constants. If there are many solutions for x, what is the value of d ?

M6: The equation 5x-c=(15x-12)/3 has infinitely many solutions, what is the value of c?

Hard3: The equations y=4x²+15x and y=-x graphed in the xy-plane, if the two intersect at the origin and （-b,b),what is b

M1: Jenny made 9 fewer cupcakes than George did, if the total of 73 cupcakes , how many did George make？

E2. How many solutions does the equation y+12=y-12

M3. Which of the following ordered pairs(x,y) satisfies the y-3x=-10 and -2x-5y=16

E3: What is the solution (x,y) to the given system of equations? 2x+6y=0; x-y =4

M5: If (x,y) is the solution to the given system of equation 19x+4y=41 and 7x+4y=17, what is the value of x+y ?

M9: What is the value of a if the solution to -(1/6)b=3 and a + (1/6)b=-5

E4: What is the value of x if the solution to the given system -2y=3; 2y=11-7x of equations is (x, y)?

E6: which is true for the inequalities 4y<3 and x-4y<2

Hard6: For what values of the constant g does the equation 5x²-gx+5 have exactly one real solution? I. -10; II. 10