Unit #3 Review

Writing Equations

100

Ms. Ward has exactly $100 to spend at the grocery store this week.

x = 100

200

Write an equation:

Ms. Hall is buying Ms. Ward some gifts for Christmas. She is buying one big gift that will cost $90 as well as some small gifts that cost $7 each. She will spend exactly $111.

90 + 7x = 111

300

Write an equation.

You had $500 but spent $5 per day on lunch. Now, your bank shows that you have $340.

500 - 5x = 340

400

Write an equation:

Your car gets 28 miles per gallon. You intend to drive 210 miles away on a trip.

28x = 210

500

You have $90 and your sister has $120. You are saving $7 per week and your sister is saving $5 per week. Write an equation to show when the spending would be equal.

90 + 7x = 120 + 5x

Solving Equations

100

Solve:

4x = 36

What is 

x = 9

200

Solve:

5x + 10 = 30

What is:

x = 4

300

I’m thinking of a number. When I triple the number, I get 18.

What is 6?

400

I’m thinking of a number. When I multiply the number by 2, then add 5, I get 13.

What is 4?

500

Solve: 

3x + 5 = 2x + 11

What is 

x = 6

Writing Inequalities

100

Write as an inequality.

More than 200 students are enrolled in Algebra One.

x > 200

200

Write as an inequality.

A minimum of a 60% is needed to pass a course in high school. 

x >= 60

300

Write an inequality.

Yenuzah can spend at most $40 at the fair. Admission to the fair is $15 and it costs $2 per ride.

What is:

2x + 15 <= 40

400

Write an inequality.

Alan's goal is to earn at least $50 to attend his camp.  He has earned $24 so far.

What is:

x + 24 >= 50

500

Write an inequality:

Ms. Ward is buying some plants. It will cost $14 per tree and $50 for soil. She wishes to keep the spending under $200.

What is:

14x + 50 < 200

Solving Inequalities

100

Solve:

x + 5 > 16

What is x > 11?

(any number more than 11)

200

Solve:

2x <= 26

What is 

x <= 13

300

Solve:

-5x > 35

What is 

x < -7

400

Solve:

2x + 10 >= 60

What is 

x >= 25

500

Solve:

3(x+6) > 27

What is 

x > 3

General

100

This symbol means... 

<=

What is less than or equal to?

200

This symbol means... 

>

What is greater than?

300

The inequality symbol only changes directions if...

What is we multiply or divide by a negative number?

400

This symbol means...

ne

What is not equal?

500

Phrases like "maximum", "at most", and "no more than" go with this inequality symbol.

What is:

Less than or equal to

<=