Systems of Linear Equations Review

Which point satisfies the system of equations?

y = -4x - 4

y = -3x

• (-4, 2)

• (-1,0)

• (-5.8, 0.4)

• (-2.4,-0.2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which point satisfies the system of equations?

y = 3x - 7

y = -2x + 5

• (0, -1)

• (4, -2)

• (2.4, 0.2)

• (5.8,-0.4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution of the system?

• (-2, 4)

• (2, 4)

• (-4, 2)

• (4, -2)

Tags

CCSS.8.EE.C.8B

If the lines in a system of equations have the same slopes and the different y-intercepts, how many solutions does the system have?

• no solutions

• one solution

• infinite number of solutions

Tags

CCSS.8.EE.C.8B

Consider the system of equations.

x = 3

y = -4

Place a point on the solution to the system.

Tags

CCSS.8.EE.C.8B

A system of equations consists of two lines. One line passes through (8,4) and (6, 3) and the second line passes through (0, -2) and (4, 0). How many solutions does the system have?

• no solution

• one solution

• infinite number of solutions

• not enough information

Tags

CCSS.8.EE.C.8B

Match the graph of each equation with the description of its slope.

Remember: slope is rise / run. Since the denominator of a fraction cannot be 0, a line without any "run" has an undefined slope.

• negative slope

• 
• slope = 0

• 
• positive slope

• 
• undefined slope

• 

Tags

CCSS.8.EE.B.5

Approximate the solution to the system of equations to the nearest tenth. Pay attention to the numbers on the axes.

y = 2/3x + 1

y = 3/2x - 2

• (-2.6, -3.9)

• (3.6, 3.4)

• (-3.2, 4.8)

• (1.5, 2.5)

Tags

CCSS.8.EE.C.8B

At a local coffee shop, a customer purchases a monthly coffee club card for $6 they will only pay $1.25 for a cup of coffee. Customers who do not have a coffee club card must pay $2.00 for a cup of coffee. For how many cups of coffee will the cost be the same for customers with and without a coffee club card? What will the cost be?

• For 10 cups of coffee the cost will be $8.00 for both sets of customers.

• For 16 cups of coffee the cost will be $8.00 for both sets of customers.

• For 8 cups of coffee the cost will be $10.00 for both sets of customers.

• For 8 cups of coffee the cost will be $16.00 for both sets of customers.

Match each graph to the number of solutions the system of equations has.

• one solution

• 
• infinite number of solutions

• 
• no solution

• 

Tags

CCSS.8.EE.C.8B