Abeka 9th Grade Algebra 1 Test 5

Substitution

Because the second equation of the following system has an isolated variable, what method would be the best method to use when solving the following system

7x+2y= 11

y=-3X+4

Elimination

To avoid having to work with fractions, which method would be the best method to use when solving the following system?

2x - 5y = -3

3x - 8y = 11

parallel

When the following system is solved algebraically, the result is "1 = -3". The graph of this system would be _________ lines.

2x - y = -3

y = 2x - 1

coinciding

A system that graphs as __________ lines has infinitely many solutions.

no solution

How many solutions does the following system have?

y = (3/2)x + 6

y = (3/2)x - 6

independent and consistent

If the solution of a system of equations is a single ordered pair, which of the following accurately describes the system of equations?

(-1,5)

Substitution:

y=2x+7

3x+2y=7

(-3,1)

Substitution:

x + 5y = 2

4x + 3y = -9

(3, -1)

Elimination:

x + 2y = 1

x - 2y = 5

(-1, 3)

Elimination:

3x - 2y = -9

6x + 5y = 9

16 years old

Elimination or Substitution:

When Dylan's age is subtracted from twice Kevin's age, the result is 22. If the sum of Kevin's and Dylan's ages is 35, how old is Dylan?

Graph

3x + 2y = -6

y = (1/2)x + 5

Graph the solutions of the system of inequalities

5x - 4y > 20

y (less than or equal to) (1/4)x + 1

Use the graph to answer the following questions:

A food truck sells cupcakes (x) and cookies (y). Up to 90 baked goods can be stored in the food truck, and the number of cookies stored is never more than half the number of cupcakes stored.

x + y < 90

y (less than or equal to) (1/2)x

Use the graph to answer

Which of the following options would satisfy both constraints?

a. 30 cupcakes and 60 cookies

b. 40 cupcakes and 40 cookies

c. 80 cupcakes and 15 cookies

d. 70 cupcakes and 20 cookies

Use the graph to answer

Because more profit is earned for a cookie sale than a cupcake sale, the owner wants to

store as many cookies as possible. What is the greatest number of cookies that the owner

can store in his food truck and still satisfy both constraints?

c. 60 cookies

a. 30 cookies

d. 90 cookies

b. 45 cookies