Exam 1: Algebraic Representations

Identify the operation (addition, subtraction, multiplication, division) Implies by question. One family ate $5 \frac { 3 } { 4 }$ pizzas; another family ate $2 \frac { 1 } { 5 }$ pizzas. How much more did the first family eat?

Add: 2 +2

Write the phrases using the correct operation symbol $( + , - , \cdot , \div )$ and then do the operation. Write answers as fractions and decimals, where appropriate. Round decimals to the nearest thousandth. Assume the second number is subtracted from or divided Into the first number. Find the difference between $7 \frac { 1 } { 4 }$ and $3 \frac { 1 } { 2 }$ .

Make a graph for the following rule. Use integer inputs of 0 to 5. The output is 5 more than twice the input.

From the set $\left\{ \frac { 4 } { 5 } , - 4,0,4,3 \right\}$ , select a number that fits the statement below. This rational number is not defined in the set of integers.

Name the quadrant in which the point is located. $( - 4 , - 4 )$

Write the percent statement as an expression. $32 \frac { 1 } { 2 } \% \text { of } x$

Name the quadrant in which the point is located. $( - 6 , - 4 )$

Write the percent statement as an expression. $3 \frac { 1 } { 4 } \% \text { of } x$

Identity the constants numerical coefficients, and variables in the expression $x ^ { 2 } - 8$ .

Write the phrases using the correct operation symbol $( + , - , \cdot , \div )$ and then do the operation. Write answers as fractions and decimals, where appropriate. Round decimals to the nearest thousandth. Assume the second number is subtracted from or divided into the first number. Find the quotient of of 4 and $\frac { 1 } { 5 }$ .

Kelsey is setting up the Events Center for a petting zoo. She builds the pens along a long wall. She starts in a corner, making the first pen with two panels and needing two more panels for each additional pen. Build an input-output table for the number of panels needed for 1 to 5 pens. How many panels are needed for 10 pens?

Draw a graph from the following input-output table. Input x Output y -2 5 -1 2 0 -1 1 -4 2 -7

Read "What to Expect from This Text" and "Beginning the New Term: First Day" What are three alternative approaches to thinking algebraically?

Is x a negative number? Explain.

Make an input-output for the following tuition model: Tuition is $55 per credit hour for 1 to 11 hours; $1050 for 12 to 18 hours; and an additional $30 per credit hour for each hour above 18 hours. Stop at 20 hours. Use your table to find the tuition cost for 8 hours, 13 hours, and 20 hours.

Change the decimals to percents 0.7

Change the decimal to percent. 0.3

Write 4.78 as a percent.

Write 4.033 as a percent.