Linear Equation and Inequality in Two Variables

You decide to solve the below system of equations using elimination and first want to eliminate the x variable. Which option below would be the best first step? -4x+9y=-17 3x-4y=10

• Multiply the first equation by 4 and the second equation by 9.

• Multiply the first equation by -3 and the second equation by 4.

• Multiply the first equation by 3 and the second equation by -4.

• Multiply the first equation by 3 and the second equation by 4.

Which of the following situations would result in no solution to a system of linear equations?

• Identical Lines

• Parallel Lines

• Perpendicular Lines

• Intersecting Lines

Which of the following situations would result in infinitely many solutions to a system of linear equations?

• Identical Lines

• Parallel Lines

• Perpendicular Lines

• Intersecting Lines

Solve the below system by graphing:

• (4, 9)

• (9, 4)

• Infinitely Many Solutions

• No Solution

• (4, 9)

• (9, 4)

• Infinitely Many Solutions

• No Solution

For the system of inequalities below, which ordered pairs are solutions? Select all that apply.

• (-2, 0)

• (0, -3)

• (1, -5)

• (5, 5)

• (-5, 5)

For the system of inequalities below, which ordered pairs are not solutions? Select all that apply.

• (2, 0)

• (0, -5)

• (3, 10)

• (5, 10)

• (5, 0)

Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend babysitting?

• 4 hours

• 7 hours

• 11 hours

• 18 hours

Two numbers have a sum of 217 and a difference of 85. What is the larger of the two numbers?

Two numbers have a sum of 217 and a difference of 85. What is the smaller of the two numbers?