Review Solving Linear Equations and Inequalities

• z = 8

• z = -32

• z = -8

• z = 32

• t = -3

Solve 3w + 6 = -5(2 - w). Check your answer.

• w = 2

• w = 8

• w = -2

• w = - 0.5

Roy weighs 150 pounds and plans to lose 1.5 pounds a week. Luis weighs 200 pounds and plans to lose 2.5 pounds a week. Which equation shows when Roy and Luis will weigh the same? Use x for the number of weeks.

• 150 + 1.5x = 200 + 2.5x

• 150 - 1.5x = 200 - 2.5x

• 150 + 1.5x = 200 - 2.5x

• m = 2

• m = 8

• m = -8

• m = 4

• 3x

• -3x

• 9x

• -9x

Complete and solve an equation for the relationship described below.

Three times the number n minus five equals two times the number.

A games club has 50 members but is losing 3 members each year. A sports club has 15 members and is gaining 2 members per year. Use x for the number of years. Type in the equation to show when the two clubs will have the same number of members. Solve your equation and state the number of years.

Tanya walks dogs. She earns $10.50 for each dog she walks. Tanya wants to go to a concert that costs $157.50. Which equation represent the situation? How many dogs does Tanya need to walk to go to the concert?

• 10.50 + x = 157.50,

  147 dogs

• 157.50 - x = 10.50,

  168 dogs

• 157.50 + x = 10.50x,

  17 dogs

• 10.50x = 157.50,

  15 dogs

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.