Algebra Unit 6 Systems of Equations and Inequalities

What is the best method to solve this system of equations?

5x - 4y = 11

5x + 4y = -14

• Graphing

• Substitution

• Elimination

• Connection

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Where did the error occur in this problem?

• There is no error, the solution is (59,13)

• The wrong equation was used to solve for x.

• When solving for y, 14 should have been subtracted instead of added.

• When solving for x, 13 should have been divided instead of multiplied.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

• 2x + 3y > 100

  x + y ≤ 40

• 100x + 2y > 3

  x + y ≤ 40

• 100x + 40y > 100

  3x + 2y ≤ 40

• 3x + 2y > 100

  x + y ≤ 40

Using the substitution method, what goes in the parentheses to solve this system?

(a)  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which equation results from adding these if solving by elimination?

• -8y = 28

• -8y = -25

• 10x = -3

• 10x - 8y = -3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Is this a system of equations or a system of inequalities?

• System of Inequalities

• System of Equations

• Neither

• Both

Tags

CCSS.8.EE.C.8B

Is this a system of equations or a system of inequalities?

• System of Inequalities

• System of Equations

• Neither

• Both

Tags

CCSS.HSA.REI.D.12

FroYo Express charges $5.75 for a large cup of frozen yogurt and $0.25 for each topping. The Big Chill charges $2.75 for a large cup of frozen yogurt and $1.25 for each topping. The graph represents the relationship between the number of toppings, x, and the total cost of a large cup of frozen yogurt, y, at the two stores. When will the cost be the same at both stores?

• The cost is the same at both stores when 6.5 toppings are ordered.

• The cost is the same at both stores when 3 toppings are ordered.

• The cost is the same at both stores when 5.75 toppings are ordered.

• The cost is the same at both stores when 2 toppings are ordered.

Tags

CCSS.8.EE.C.8C

A system of inequalities is shown.

x + y < 2

x - y ≤ -1

Which region best represents the solution set for this system of inequalities?

• Region A

• Region B

• Region C

• Region D

Tags

CCSS.HSA.REI.D.12

Which of the following points lies in the solution set to the graphed system of linear inequalities?

• (-4, 6)

• (-8, -8)

• (6, 4)

• (7, -3)

Tags

CCSS.HSA.REI.D.12