Algebra I Final Exam

What is the solution to the system of linear equations?

• (0, 0)

• (0, 2)

• no solutions

• infinite solutions

Tags

CCSS.8.EE.C.8A

Two systems of linear equations in two variables, x and y, are shown. System 1: x + 2y = 8, 3x + 4y = 22 System 2: ax + 5y = 17, 5x + by = 37 The two systems have the same solution. What are the values of a and b?

• a = -2, b = -7

• a = 3, b = 5

• a = 2, b = 7

• a = 4, b = 6

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The graph of a system of linear equations is shown. [Graph of two intersecting lines on a coordinate plane] What is the solution to the system of linear equations?

• x = -3, y = -1

• x = 2, y = 1

• x = 3, y = 1

• x = 0, y = 0

Tags

CCSS.8.EE.C.8B

A system of linear equations is shown. y = -2x + 3 2y = -4x + 6 What is a solution to the system of linear equations?

• (3, 0)

• (1.5, 1.5)

• no solutions

• infinite solutions

Tags

CCSS.8.EE.C.8B

A system of linear equations is shown. 0.75s + 1.25t = 40 s + t = 34 What is the solution to the system?

• s = 5, t = 29

• s = 16, t = 18

• s = 20, t = 14

• s = -5, t = -29

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A teacher wrote a system of equations on the board in his classroom. {4y - 2x = 24 & 10y + 4x = 78} He asks a student to multiply the first equation by 4 and subtract the second equation from it. This results in the new system of equations. {ay + bx = c & 10y + 4x = 78} What are the values of a, b, and c in the new system of equations?

• a = 6 b = -12 c = 18

• a = 8 b = -8 c = 24

• a = 16 b = -2 c = 30

• a = -6

  b = -18

  c = 12

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Multiply (8q - 3) and (4q + 7).

Tags

CCSS.HSA.APR.A.1

An expression is shown. (5r + 6)(3r - 2) + (2r + 10) Enter an equivalent expression using the fewest number of terms possible.

Tags

CCSS.HSA.APR.A.1

Tags

CCSS.HSA.APR.A.1

• 20x^3+66x-23.4

Tags

CCSS.HSA.APR.A.1