Are You Smarter Than a Fifth Grader?Equations and

Inequalities

1

    

Stay focused and work out every problem in your

notebooks

2

Copy problems into your notebook and SHOW ALL of your

work!!

3

The more focused you are the more

problems the class reviews!

4

JR scored 7 more points than Mikey. Mikey scored 24 points. Write an equation and solve it to find the number of point JR scored.

M = 24 + 7 (You need to write an EQUATION with an equal sign!!)

M = 31 points (Show your units!! In this case POINTS)

5

Solve the following equation. Show your work!

-13x = 52

X = - 4 Show your work! Divide BOTH SIDES by -13

6

Solve the following equation. CHECK your work with a “proper check”!

T + 23 = - 56

T = - 79 T + 23 = - 56 (-79) + 23 = - 56 Subtract 23 from 79 and give the sign of the higher absolute value…

-56 = -56

7

Solve the following equation. CHECK your work!

= 60

S = - 300What is happening to S? Right… it is being divided by -5, so to solve for S you MULTIPLY BOTH SIDES by -5. This leaves S on the left side and -300 on the right sideCheck….-300

8

John had 152 baseball cards in his collection. After receiving the same amount of cards from both his uncle and his grandfather for Christmas he has 212 cards. Write and solve an equation to find how many cards his grandfather give him?

2x + 152 = 212His grandfather gave him 35 cards.Note that it is “2X” because his uncle AND his grandfather gave him the same amount of cards!!

9

Solve the following equation. CHECK your work!

-8T – 12 = 44

T = -7 Check: -8T – 12 = 44-8(-7) – 12 = 44 56 – 12 = 44

44 = 44

10

Solve the following equation. CHECK your work!

H = - 220What is happening to H? Right… it is being divided by 10 and increased by 12, so to solve for H you subtract 12 and MULTIPLY BOTH SIDES by 10. After subtracting 12 and multiplying by 10 this leaves H on the left side and 220 on the right side Check….220

11

Write a real life word problem to match the following equation. Define the variable and what it represents.

15 X + 30 = 105Tom paid $15 per ticket for admission to the amusement park and paid $30 for parking their car. The total bill was $105. How many tickets did Tom purchase?Bill earns $15 per lawn that he cuts. He has saved $30 this week and needs a total of $105 to purchase a new bicycle. How many lawns does he need to cut so he can purchase the bicycle?

12

Sarah went to the grocery store and bought two jars of spaghetti sauce and five boxes of pasta. Each jar of sauce costs $3.50 and Sarah spent a total of $10.90. Write an equation and solve for the cost on one box of pasta.

5B + 7 = 10.90 Check: 5(0.78) + 7 = 10.90Each box “B” costs $0.79 3.90 +7 = 10.90(Note: 2 jars = 2($3.50) = $7 10.90 = 10.90

13

Which equation matches the following statement: The

product of a number and 7 is 217 ?

a. 7 + x = 217

b. 7x = 217

c. 7 x = 217

d. x 7 = 217

14

Write and solve an equation for the following:The quotient of a number and 4, decreased by 1 is equal to 5

- 1 = 5 Add 1 and then multiply by 4. (5 + 1) x 4 = 24 X = 24

Check: 6 – 1 = 5

5 = 5

15

- 1 = 5

Write and solve an inequality for the following:The product of a number and 7, decreased by -23 is less than or equal to 14.

16

Or

7X + 23

Which inequality matches the following: The temperature mustbe less than or equal to 32 degreesfor it to snow.

a) b) 32 c) d)

17

Graph 4p -12

18

After dividing by 4 on both sides, the inequality is simplified to p -3. Graph this inequality as shown:

-5 -4 -3 -2 -1

Before the next chapter test, I need to do the following:

a) Complete ALL Practice Testsb) Ask for help if neededc) Create Flashcards d) Get a good nights sleep!e) All of the above

19