Unit 9 Review - Algebra 2

What is a system of equations? Fill in the blank: A system of equations is ________.

• Two or more equations with the same variables.

• A single equation with one variable.

• A group of unrelated numbers.

• An equation with no variables.

Tags

CCSS.HSA.REI.C.8

Graphically, the solution to a system is the point (x, y) where the two lines ________.

• intersect

• are parallel

• are perpendicular

• do not meet

• overlap completely

Tags

CCSS.8.EE.C.8B

Algebraically, the solution to a system is the point (x, y) that makes both equations ________.

• true

• parallel

• undefined

• different

Tags

CCSS.8.EE.C.8B

Which type of lines results in one solution to a system of equations?

• A) Intersecting lines

• B) Parallel lines

• C) Same line

Tags

CCSS.8.EE.C.8A

Which type of lines results in no solution to a system of equations?

• A) Intersecting lines

• B) Parallel lines

• C) Same line

Tags

CCSS.8.EE.C.8A

Which type of lines results in infinite solutions to a system of equations?

• A) Intersecting lines

• B) Parallel lines

• C) Same line

Tags

CCSS.8.EE.C.8B

What are the steps to solve systems by graphing? Fill in the blanks: 1. ________ 2. ________ 3. ________

• 1. Rewrite the equations in slope-intercept form. 2. Graph the line. 3. Identify the solution(s).

• 1. Graph the equations. 2. Add the solutions. 3. Check for parallel lines.

• 1. Substitute values. 2. Multiply the equations. 3. Find the intersection point.

• 1. Rearrange the equations. 2. Solve for x. 3. Substitute back to find y.

Tags

CCSS.8.EE.C.8B

Directions: Solve each system by substitution. 1. y = 4x - 1 y = 2x - 5 Fill in the solution (x, y):

• (-2, -9)

• (2, 7)

• (1, 3)

• (0, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Directions: Solve each system by elimination. 2. x + 4y = 13 x - y = 3 What is the solution to the system?

• (5, 2)

• (3, 2)

• (2, 5)

• (4, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Directions: Solve each system by elimination. 3. 3x - 10y = 14 3x - 9y = 15 What is the solution to the system?

• (8, 1)

• (2, -1)

• (0, 0)

• (5, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6