Ms. Yoto is putting together bags of fruit that contain 1 pear for every 2 apples. For each ratio given, create a picture module. Then, calculate the answer from your model, and explain your reasoning. a. How many apples are in the bag if there are a total of 9 pieces of fruti? b. How many apples are in the bag if there are a total of 15 pieces of fruit? c. How many pieces of fruit are there if there are 8 apples in the bag?

The multipacks of dried fruit contain three bags of banana chips and five bags of raisins. Several multipacks were purchased. If there were 104 bags in all, how many bags of banana chips were there?

There are 12 pieces of fruit in a bowl. Seven of the pieces are apples and two are peaches. What is the probability that a randomly selected piece of fruit will not be an apple or a peach? Justify your answer.

A new teaching method to teach vocabulary to sixth-graders involves having students work in groups on an assignment to learn new words. After the lesson was completed, the students were tested at 1-month intervals. The average score for the class S(1) can be modeled by $S(t)=94-18 \ln (t+1)$ where / is the time in months after completing the assignment. If the average score is 65, how many months had passed since the students completed the assignment? Round to the nearest month.

Graph each quadratic function. Give range. $f(x)=x^{2}+6 x+5$

Graph each function. $f(x)=-\sqrt{x}-2$

Solve the equation using a bar model. $\frac{3}{4} x=8$

Compare the fractions in each pair. Think about how close the fractions are to $0, \frac{1}{2}, \text { or } 1$. a. $\frac{5}{8} \text { and } \frac{7}{12}$ b. $\frac{14}{15} \text { and } \frac{7}{8}$ c. $\frac{1}{9} \text { and } \frac{1}{23}$

Use the following key to label each of the resources as land, labor, capital, or entrepreneurship. If a resource is land, identify it as either renewable or nonrenewable. If a resource is a capital good, identify it as either physical or human. (Hint: Physical capital is a tangible, human-made resource- such as tools or machinery-used to produce other goods and services. Ld-r = land (renewable), Ld-n = land (nonrenewable), Lbr = labor, C = capital, E = entrepreneurship. lawyer ____________

The freezing point of a liquid is the temperature at which the liquid becomes a solid.

a. Which liquid in the table has the lowest freezing point?

b. Is the freezing point of mercury or butter closer to the freezing point of water, 0°C?

Liquid	Freezing point $[^\circ C]$
Butter	35
Airplane Fuel	-53
Honey	-3
Mercury	-39
Candle wax	53

The winning time for the middle school 4-person 100-meter relay was 62.59 seconds. Suppose that each runner ran exactly the same amount of time. What would the time be for each runner?

Which numbers in Set A = {–7, –4, 2, 14, 21, 34, 42} are elements of both Set B and Set C, shown below? Set B = {even numbers} Set C = {multiples of 7}

Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.

$$\begin{aligned} &\frac{3}{8} x-\frac{1}{2} y=\frac{7}{8}\\ &-6 x+8 y=-14 \end{aligned}$$

Rewrite $\frac{2(x+5)-4}{2}-x$ using the fewest terms possible. Justify each step with a property or operation.