Algebra 1: Systems of Equations Review

Fill in the blanks: A system of equation is _____ one equation

• more than

• less than

• equal to

Tags

CCSS.HSA.REI.C.6

The point where the line crosses the y-axis is called the:

• origin
• x-intercept
• y-intercept
• slope

Tags

CCSS.8.F.A.3

CCSS.8.F.B.4

A ________________ is a set of two or more equations that have the same variables.

• solution of a system
• elimination method
• system of equations
• table

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

• Multiply the second equation by 2 and add the resulting equations..

• Multiply the second equation by -2 and add the resulting equations..

• Multiply the first equation by 7 and the second equation by -5 and add the resulting equations.

• Multiply the first equation by -7 and the second equation by -5 and add the resulting equations.

Using substitution, solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes
• no

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above