Algebra+1+Digital+Text+3A+Practice+Problems+Answers

Target 3A: What is your Representation?

Complete the sentences by filling in the blanks: 1) The collection of all input values is the -- of a relation. Answer: math \text{Domain} math

2) The collection of all output values is the -- of a relation. Answer: math \text{Range} math

3) Translate the following set of ordered pairs to a graph. State the domain and range. math \text {(1, 4), (-2, 4), (3, 5), (-2, 2)} math Answer: math \text{Domain:{-2,1,3}} math math \text{Range:{2,4,5}} math

4) Translate the following graph to a set of ordered pairs. State the domain and range. Answer: math (-4,2),(-3,1),(-2,-2),(-1,2),(0,2),(1,-2),(2,1)\\ math math \text{Domain:{-4,-3,-2,-1,0,1,2,}}\\ \text{Range:{-2,1,2}}\\ math

5) Translate the following table to a set of ordered pairs. math \begin{array}{|c||c|} \hline \mathrm{Input} & \mathrm{Output} \\ \hline -1 & 5 \\ \hline 0 & 7 \\ \hline 1 & 8 \\ \hline -1 & 6 \\ \hline 2 & 10 \\ \hline \end{array} math Answer: math (-1,5),(0,7),(1,8),(-1,6),(2,10) math

Make a table for the function. Identify the range of the function. math \textbf{6)} \ y=2x-5,\text{Domain: {0,3,5,7,9}} math Answer: math \text{Range:{-5,1,5,9,13}} math

math \textbf{7)} \ y=3x-7,\text{Domain: {0,1,2,3,4}} math Answer: math \text{Range:{-7,-4-1,2,5}} math

math \textbf{8)} \ y=-x+2,\text{Domain: {-2,-1,0,1,3}} math Answer: math \text{Range:{4,3,2,1,-1}} math

Write a rule for the function. math \textbf{9)} \begin{array}{|c|c|c|c|c|} \hline \textbf{x} & 0 & 1 & 2 & 3 \\ \hline \textbf{y} & 7 & 8 & 9 & 10 \\ \hline \end{array} math Answer: math y=x+7 math

math \textbf{10)} \begin{array}{|c|c|c|c|c|} \hline \textbf{x} & 0 & 1 & 2 & 3 \\ \hline \textbf{y} & 1 & 3 & 5 & 7 \\ \hline \end{array} math Answer: math y=2x+1 math

11) Multiple Choice: The number 6 is in the domain of the given function. Which number is in the range of the function. math \large f(x)=2x+3 math math \large a) \ 1.5\\ \large b) \ 15\\ \large c) \ 18\\ \large d) \ 20\\ math Answer: math \textbf{b} math

12) Multiple Choice: If each output is 7 less than twice the corresponding input. Which equation represents the rule of the function? math \large a) \ y=2x+7\\ \large b) \ y=7x-2\\ \large c) \ y=\frac{1}{2}x-7\\ \large d) \ y=2x-7\\ math Answer: math \textbf{d} math

13) You are the treasurer of the student council at you school. In your fall meetings the council decided to purchase a $10 t-shirt for every member of the council and pay for it out of the student council account. Using the number of students in the council as the independent variable and the cost as and dependent variable, fill out the table below and also write the function as set of ordered pairs, a graph and a rule. math \begin{array}{|c|c|} \hline \textbf{Students on} & \textbf{Cost} \\ \textbf{the council} & \ \\ \hline ? & ?\\ \hline ? & ? \\ \hline ? & ? \\ \hline ? & ? \\ \hline \end{array} math Answer: math \begin{array}{|c|c|} \hline \textbf{Students on} & \textbf{Cost} \\ \textbf{the council} & \ \\ \hline 0 & 0\\ \hline 1 & 10 \\ \hline 2 & 20 \\ \hline 3 & 30 \\ \hline \end{array} math math (0,0),(1,10),(2,20),(3,30)\\ math math y=10x\\ math

14) Given the table below, write a contextual situation that could be modeled by the table. math \begin{array}{|c||c|} \hline \mathrm{Input} & \mathrm{Output} \\ \hline 1 & 5 \\ \hline 2 & 7 \\ \hline 3 & 9 \\ \hline 4 & 11 \\ \hline 5 & 13 \\ \hline 6 & 15 \\ \hline \end{array} math Sample Answer: You went to the moves with your friends and you had a coupon that allows you to pay 5 dollars for the first person and an addition two dollars for each additional person.