Lesson 2 Elvira’s Equations Solidify Understanding

Ready

Fill in the blanks for the statements to explain the process for solving as indicated.

1.

Solve for $x$ : $a x = 7$

I can find $x$ or $1 x$ by on both sides of the equation.

2.

Solve for $p$ : $8 + p = w$

I can find $p$ or $1 p$ by on both sides of the equation.

3.

Solve for $m$ : $e = m c^{2}$

I can find $m$ or $1 m$ by on both sides of the equation.

4.

Solve for $t$ : $d = r t$

I can find $t$ by on both sides of the equation.

5.

Solve for $b$ : $b - 11 = 3$

I can find $b$ by on both sides of the equation.

6.

Solve for $y$ : $\frac{1}{2} y = k$

I can find $y$ by on both sides of the equation.

7.

Solve for $x$ : $y = m x + b$

I can find $x$ by on both sides of the equation.

Set

Jaxon likes to be organized, so he made the following chart. He has decided to keep track of the miles he runs and the time he spends running. He attends P.E. class on Mondays, Wednesdays, and Fridays, but he goes to school every day.

8.

Fill in the Units column on the chart.

Symbol	Meaning (Description of what the symbol means in context)	Units (What is counted or measured)
$M$	Number of miles ran in P.E. class on Mondays
$W$	Number of miles ran in P.E. class on Wednesdays
$F$	Number of miles ran in P.E. class on Fridays
$S$	Number of miles from Jaxon’s house to the school.
$H$	Time (in hours) to travel to school
$t_{M}$	Time (in minutes) spent running in P.E. on Monday
$t_{W}$	Time (in minutes) spent running in P.E. on Wednesday
$t_{F}$	Time (in minutes) spent running in P.E. on Friday

Using the table from question 8, make meaning of the expressions below. Write what the expression means. If an expression does not make sense, say why.

9.

$M + W + F$

10.

$4 (M + W + F)$

11.

$M + H$

12.

$t_{M} + t_{W} + t_{F}$

Create an expression based on the table from question 8 for the quantity that is described.

13.

Average amount of time running per day.

14.

Amount of time spent traveling per week.

15.

Miles round trip from Jaxon’s house to school and back.

Go

Find the domain and range for each function graphed below. Use interval notation to write your answer.

16.

17.

18.

19.

For each of the inequalities, graph the values being described on the numbers lines.

20.

$x < 6$

21.

$x \geq - 9$

22.

$- 7 \leq x < 0$

23.

$- 15 < x \leq 8$