Sat System of Equations

If a is a constant for the given system of equations on the left, for what value of a will the system of equations have no solution?

• -7

• 2

• 4

• 14

Tags

CCSS.8.EE.C.8B

Two lines that are graphed on the xy-plane intersect at the point (a, b). The first line has a slope of − 1/2 and passes through the point (−2, 2). The second line passes through the points (−1, −1) and (1, 3). What is the value of ab?

(a)  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

For which of the following values of m and b does the system of equations above have exactly two real solutions?

• m = −1, b = −6

• m = −1, b = 10

• m = 2, b = − 10

• m = 2, b = − 6

Tags

CCSS.HSA.REI.C.7

The lines for the two equations on the left are parallel and separated by a vertical distance of 2 when graphed in the xy-plane. Which of the following could be the value of b?

• 2

• 3

• 4

• 6

Answer explanation

Parallel lines share the same slope but have a different y-intercept.

Since the separation of the two lines is 2, the constant term for the first equation must be 12 or 16.

Use these properties to solve for a and then b.

What is the solution to the following system of equations?

• (-1,-1)

• (1,1)

• (1,-1)

• (-1,1)

Tags

CCSS.8.EE.C.8B

If the ordered pair (x,y) satisfies the system of equations above, what is the sum of the values x and y?

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Based on the system of equations, what is the value of 5x + 5y?

• 500

• 3000

• 1500

• 2500

Tags

CCSS.8.EE.C.8C

If 2y = x + 40 and 3x = y + 20, what is the value of x + y?

• 28

• 34

• 38

• 44

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

a and b are constants. If the equation has no solution, which of the following statements must be true about a and b ?

• a does not equal 3 and b does not equal 4

• a = 3 and b does not equal -4

• a = 3 and b = -4

• a = 3 and b = 4

Tags

CCSS.8.EE.C.7A

y= x²

2y + 6= 2(x+3)

If ( x, y ) is a solution of the system of equations above and x > 0, what is the value of xy ?

NO CALC.

• 1

• 2

• 3

• 9

Tags

CCSS.HSA.REI.C.7