LEIS Unit Review (Lessons 1-13)

1. To support a local senior citizens center, a student club sent a flyer home to the students in the school. The flyer said, "Please bring in money to support the senior citizens center. Paper money and coins accepted!" Their goal is to raise dollars.

2. Match each quantity to an expression, an equation, or an inequality that describes it.

1. A student on the track team runs 45 minutes each day as a part of her training. She begins her workout by running at a constant rate of 8 miles per hour for a minutes, then slows to a constant rate of 7.5 miles per hour for b minutes.

2. Which equation describes the relationship between the distance she runs in miles, D, and her running speed, in miles per hour?

7. Elena has $225 in her bank account. She takes out $20 each week for x weeks. After x weeks she has y dollars left in her bank account.

   Write an equation that represents the amount of money left in her bank account after x weeks.

1. Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation $$0.10d+0.05n=22.25$$ .

Select all the values $$\left(d,\ n\right)$$ that could be solutions to the equation.

A theater is selling tickets to a play. Adult tickets cost $8 each and children’s tickets cost $5 each. They collect $275 after selling adult tickets and children’s tickets.

What does the point $$\left(30,\ 7\right)$$ mean in this situation?

1. Select all the equations that have the same solution as the equation

2. $$3x-12=24$$

Mai says that equations A and B have the same solution.

◦ Equation A: $$-3\left(x+7\right)=24$$

◦ Equation B: $$x+7=-8$$
Which statement explains why this is true?

Here is a linear equation in two variables:

$$2x+4y-31=123$$

Solve the equation for x.

Here is a linear equation in two variables:

$$2x+4y-31=123$$

Solve the equation for y.

$$V=\pi r^2h$$ is an equation to calculate the volume of a cylinder, V, where r

represents the radius of the cylinder and h represents its height.

Which equation allows us to easily find the height of the cylinder because it is solved for h?