Lesson 5 May I Have More, Please? Solidify Understanding

Ready

Rewrite the given “word sentence” as a “math sentence.” Each math sentence will use one of the following symbols: $>$ , $<$ , $\geq$ , $\leq$ . Use “ $x$ ” to represent the unknown number.

1.

	Word Sentence	Math Sentence
Example:	A number that is greater than $13$ .	$x > 13$
a.	A number that is at least $7$ .
b.	A number that is no fewer than $8$ .
c.	A number that does not exceed $15$ .
d.	A number that is at most $29$ .
e.	A number that is no more than $97$ .
f.	A number that is fewer than $3$ .
g.	A number that is not above $34$ .
h.	A number that is less than $- 12$ .
i.	A number that is not under $- 46$ .
j.	A number that is not greater than $82$ .

Set

Write an inequality for each situation and then solve it.

2.

The average of Aaron’s three test scores must be at least $93$ to earn an A in the class. Aaron scored $89$ on the first test and $94$ on the second test. What scores can Aaron get on the third test to guarantee an A in the class?

3.

Katelyn is looking for jobs and is hoping to find one that will allow her to make at least $$ 1,500$ in her first paycheck. She has found one possible position at a local restaurant that is offering a $$ 100$ signing bonus and a wage of $$ 12$ per hour. How many hours will Katelyn need to work to make $$ 1,500$ in her first paycheck?

4.

Sione is a senior playing baseball for his high school team and he has a goal to get more than $150$ hits during his high school career. He averages $2$ hits a game and already has $110$ hits from prior seasons. How many games will Sione need to play in his last season in order to achieve his goal?

Go

Graph each set of equations and find the point where they intersect.

5.

$y = - 2 x + 9$

$y = 3 x - 6$

Point:

6.

$y = \frac{1}{2} x - 3$

$y = - x + 6$

Point:

7.

$y = 2 x + 1$

$y = 3 x - 1$

Point:

8.

$y = - \frac{3}{2} x - 2$

$y = \frac{2}{3} x - 2$

Point: