jamie wants to work no more than 30 hours per week at his two part-time jobs. The first job pays him $14 per hour and the second job pays him $16 per hour. He must earn more than $250 per week to pay all of his bills. Which inequality models this situation?

Question 1 options:

A)

x+y> 250; 14x+ 16y 30

B)

x+y 30 14x+ 16y< 250

C)

x+y 30 14x+ 16y> 250

D)

x+y< 30; 14x+ 16y 250

Question 2(5 points)

Solve the following system of equations using the elimination method.

9x- 5y= -16

-3x+ 7y= -16

Question 2 options:

A)

(-4,-4)

B)

(4,4)

C)

(0,-5)

D)

(-2,-3)

Which ordered pair is a solution to the following linear system?

y=x+ 1

y= -2x+ 1

Question 4 options:

A)

(2,1)

B)

(-1,-2)

C)

(0,0)

D)

(0,1)

Question 5(5 points)

Abigail is buying coffee beans to brew coffee for a special celebration. Dark roast beans cost $4 a pound, and light roast beans cost $3 a pound. She plans to buy at least 7 pounds of beans and spend no more than $27. Which of the following is a possible combination for the number of pounds of beans she can buy?

Question 5 options:

A)

8 pounds of dark beans and 1 pound of light beans

B)

5 pounds of dark beans and 5 pounds of light beans

C)

2 pounds of dark beans and 6 pounds of light beans

D)

4 pounds of dark beans and 2 pounds of light beans

Question 6(5 points)

Solve the following system of equations using the elimination method.

4x+ 2y= 12

4x+ 8y= -24

Question 6 options:

A)

(8,-2)

B)

(-4,6)

C)

(-8,4)

D)

(6,-6)

Question 7(5 points)

Solve the following system of equations using the elimination method.

x+ 7y= -14

4x+ 14y= -28

Question 7 options:

A)

(0,-2)

B)

(3,1)

C)

(5,-6)

D)

(1,-4)

Question 8(5 points)

Solve the following system of equations using the substitution method.

y= -2

4x- 3y= 18

Question 8 options:

A)

(-3,2)

B)

(3,6)

C)

(3,-2)

D)

(3,-6)

Determine whether the point (-3,-6) is in the solution set of the system of inequalities below.

x -3

y<⁵₃x+ 2

Question 10 options:

A)

The point (-3,-6) is not in the solution set.

B)

The point (-3,-6) is in the solution set under certain conditions.

C)

There isn't enough information given.

D)

The point (-3,-6) is in the solution set.

Question 11(5 points)

Solve the following system of equations using the elimination method.

2x+ 4y= 10

-2x+y= -15

Question 11 options:

A)

(7,-1)

B)

(8,-3)

C)

(-2,7)

D)

(3,1)

Solve the following system of equations using the substitution method.

y= -5x- 17

-3x- 3y= 3

Question 13 options:

A)

(4,-3)

B)

(-4,-3)

C)

(4,3)

D)

(-4,3)

Question 14(5 points)

Solve the following system of equations using the substitution method.

-y= 5x+ 21

-4x+y= 6

Question 14 options:

A)

(3,-6)

B)

(3,6)

C)

(-3,6)

D)

(-3,-6)

Question 15(5 points)

Three packages of pens and one box of paper cost $26. Two packages of pens and 7 boxes of paper cost $49. How much does one box of paper cost?

Question 15 options:

A)

$4.00

B)

$12.00

C)

$5.00

D)

$7.00

What is the solution of the linear system?

-7x- 2y= -13

x= 2y+ 11

Question 18 options:

A)

No solution

B)

(-3,2)

C)

Infinitely many solutions

D)

(3,-4)

Question 19(5 points)

A community action committee is planning a block party. The party will be successful only if at least 70 adults and children attend. Their budget for the party is $1,000, the cost for each adult will be $15, and the cost for each child will be $4. Which system of inequalities models this situation?

Question 19 options:

A)

a+c 70 15a+ 4c 1000

B)

a+c 70 15a+ 4c 1000

C)

a+c 1000 15a+ 4c 70

D)

a+c 70 15a+ 4c< 1000

Question 20(5 points)

Solve the following system of equations using the elimination method.

8x- 5y= 5

-8x- 6y= 6

Question 20 options:

A)

(0,-1)

B)

(2,-3)

C)

(0,1)

D)

(-2,3)