Equations and inequalities review

Translating Verbal Equations and Inequalities

100

Write an equation representing:

Four times a number is 12.

What is:

4x = 12

200

Write the equation that represents:

7 less than x is 12.

What is:

x - 7 = 12

300

Write the inequality that represents:

Mr. B is having a party on Sunday. He has already spent $50 and does not want spend over $125.  If each pound of chicken wings cost $7, how many pound of chicken wings can Mr B purchase?

What is:

50 + 7x ≤ 125. 

or 

7x + 50 ≤ 125

400

Write the equation that represents this problem:

Kai has 12 more comic books than Parker.  If they have 28 comic books altogether, find the number of comic books Kai has. (Make sure you define your variable for full credit)

What is:

x + (x + 12) =28, when x = Parker's comic books or

2x + 12 = 28

x + (x - 12) = 28, when x = Kai's comic books or

2x - 12 = 28

500

Find the solution:

Amelia want the average amount of money she spends each day on her four-day vacation to no more than $64.  On the first three days, she spends $71, $62, and $59.  What is the greatest amount of money she can spend on the fourth day?

What is:

Amelia can spend at most $64

Solving Equations

100

Solving Equations

Solve for x. 

x + 3 = 7

What is: 

x = 4

200

Solving Equations

Solve for x.

4x = -20

What is: 

x = -5

300

Solving Equations

Solve for x. 

-3x -4 = 8

What is: 

x = -4

400

Solve for y. 

15y- 4(2y - 3)= -2

y = -2

500

Solve for x:

1/4(x + 3) + (3/8)x = 13/4

x = 4

Solving Inequalities

100

Solving Inequalities

Solve for c. 

c + 6 > 22

What is: 

c > 16

200

What are two possible solutions for x?

8x > 24

x can be any two number greater than 3

300

Write an inequality

The speed limit is 35 

x ≤ 35

400

Solve the Inequality 

6 ≤ 1 - 5x

-1 ≥ x or x ≤ -1

500

Solve the inequality:

4(3 - 0.1x) ≤ 15 - 0.6x 

What is: 

x ≤ 15

True/false

100

We use inverse operations to solve equations and inequalities?

True

200

Addition is the inverse of subtraction?

True

300

We use a closed circle to represent the inequalities < and > ?

False

400

Inequalities only have one solution, just like equations.

False. Inequalities have infinitely many solutions. 

500

What occurs when we solve the inequality:

-3a ≥ 12

When we divide by -3 on both sides, the inequality changes direction.

Kitchen Sink

100

Who is Mr. B's favorite football team? 

Minnesota Vikings

200

What was Wydown's mascot before we became the Greyhounds?

The Wildcats

300

What is 50% of 50?

What is: 

25

400

Name the state directly North of Missouri?

Iowa

500

In what year did CHS win the state football championship?

2004