Solving Systems and Linear Equations and Inequalities

When graphing an inequality, you use a dotted line when you use which symbol?

• <, >

• ≤, ≥

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

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)

Select the best option below for solving this system of equations using elimination.

• Multiply the first equation by -1.

• Multiply the first equation by -2.

• Solve the second equation for y, then substitute that expression in for y in the other equation.

• No changes are necessary - this system is perfectly setup for elimination.

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.

• (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 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