Solving Linear Systems by Substitution

What is the main advantage of using the substitution method over graphing when solving systems of equations?

• It requires less calculation.

• It is faster.

• It provides an exact algebraic answer.

• It is easier to understand.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the substitution method, what is the first step after rearranging one of the equations?

• Graphing the equation.

• Multiplying both sides by a constant.

• Solving for one variable.

• Adding the equations together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

After substituting the expression for x in the second equation, what type of equation do you get?

• A quadratic equation.

• A linear equation with one variable.

• A system of equations.

• An inequality.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the value of y when solving the system of equations x + 2y = 9 and 3x + 5y = 20 using substitution?

• 5

• 7

• 9

• 11

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the value of x when y is found to be 7 in the system of equations x + 2y = 9 and 3x + 5y = 20?

• -5

• 5

• 7

• -7

Tags

CCSS.HSA.REI.C.9

What is the point of intersection for the equations x + 2y = 9 and 3x + 5y = 20?

• (-7, 5)

• (-5, 7)

• (5, 7)

• (7, -5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the word problem, what is the sum of the two numbers?

• 90

• 70

• 60

• 80

Tags

CCSS.2.OA.A.1

What is the difference between the two numbers in the word problem?

• 12

• 13

• 11

• 10

Tags

CCSS.2.OA.A.1

What is the value of y when solving the word problem using substitution?

• 32.5

• 31.5

• 30.5

• 29.5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the value of x when y is found to be 29.5 in the word problem?

• 39.5

• 42.5

• 40.5

• 41.5

Tags

CCSS.HSF.IF.A.2