7th Grade Unit 4 Review

​7th Math Skills Review

By Ms. Bowen. Read the slides before answering each question. Take notes if you need to and show your work on your show your work page. Turn in for a grade!

7.13E Simple Interest

I = Prt  [Interest = principal x rate x time]

I= interest

P=principal ($)

r= interest rate (%) Change % to decimal by moving the decimal 2 places to the left   

(Example 6% = 6/100 = .06 or 7.5% = 7.5/100= .075)

t= time (years)

To find the total:  Add the principal + interest

Drag and Drop

Pet owner may have to take out a loan when their animal has a major operation. Buddy needs to have surgery on his leg. The cost of the surgery is $2,500. His owner will get a loan for this amount over 2 years at the rate of 7.5%. ​ What is the interest that Buddy's owner will have on the account at the end of 2 years?

Drag and drop the correct values and symbols to create a formula the pet owner will use to determine the amount of interest.

I =​

Placeholder

x​ ​

Placeholder

​ ​

Placeholder

​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

2500

0.075

2

3000

7.5

+

0.75

5.5

Multiple Choice

Pet owner may have to take out a loan when their animal has a major operation. Buddy needs to have surgery on his leg. The cost of the surgery is $2,500. His owner will get a loan for this amount over 2 years at the rate of 7.5%. ​ What is the interest that Buddy's owner will have on the account at the end of 2 years?

• $375
• $1,000
• $500
• $250

Multiple Choice

Pet owner may have to take out a loan when their animal has a major operation. Buddy needs to have surgery on his leg. The cost of the surgery is $2,500. His owner will get a loan for this amount over 2 years at the rate of 7.5%. ​ What is the TOTAL cost of the loan and the interest?

• $3000
• $2500
• $2750
• $2875

Math Response

Jorge has a loan of $25,230.  This loan has a simple interest rate of 6% per year.  What is the amount of interest that Jorge will be charged on this loan at the end of one year?

Type answer here

Correct Answer: 1528.20

Deg^°

Rad

7.13F Monetary Incentives

Discount: Find the percentage of the discount first.  Write the percent discount as a decimal. Multiply the discount by the original price.  Then subtract the discount from the original price.

A person can save the most money by using incentives to receive the greatest discount.

7.13F Monetary Incentives

Divide the original price by the denominator of the fraction.  Find the discount.  Then subtract the discount from the original price.

​by one get one 50% off

​by three, get 1 free

​1/3 off the price

sale 20%e off entire purchase

A person can save the most money by using incentives to receive the greatest discount.

7.13F Monetary Incentives

The final price that the consumer pays is the original price minus the rebate.

Find the price of the coupon.  Subtract the amount of the coupon from the price

​coupon for $1.00 off

A person can save the most money by using incentives to receive the greatest discount.

Multiple Choice

Lashawn wants to buy some new Air Jordan 12 Retros’.  He found three different stores running deals on the same shows that were originally listed at $215.

·       Store X is $15 off the price of the shoes.

·       Store Y is offering 15% off the price of the shoes.

·       Store Z is offering 1/5 discount off the price of the shoes.

Which statement about the price of the shoes is true?

• Store Z charges $190 for the shoes.
• Store Z offers the lowest price at $172.
• Store Y offers a price of $180.
• Store X has a price of $200.

7.10A/7.10C Problem Situations with Equations & Inequalities

7.10A/7.10C Problem Situations with Equations & Inequalities

Multiple Choice

Which situation is best represented by the following equation?

$$45w+123.95=753.95$$

• Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in teh classes, and her sister paid $45 per week she was enrolled in the classes.What is w, the number of weeks Erica and her sister were enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?

Multiple Choice

Which situation can be represented by this inequality?

$$44x-728>1,736$$

• A gym charges a $728 sign-up fee and $44 per month. You want the total cost to be less than 1,736.

• Starbucks is selling the Bearista cup for $44 each and has $728 in expenses to make the cups. The company wants to earn more than $1,736 in total profit.

• A phone company offers a $728 discount on a phone that costs $44 per month and the total cost should be at most $1,736.

• A teacher spends $728 on classroom supplies and earns $44 per hour for tutoring.. She wants to make at least $1,736 for her total expenses.

7.10B Number Lines

When graphing an equation it will be just one closed circle on the number line.

When graphing an inequality be sure to FLIP the inequality sign if you divide by a negative number.

Multiple Choice

Which number line represents the solution to the inequality $$-2x+6\ge-4$$ ?

Multiple Choice

Describe how you would graph the solution to $$6-5x>-4$$

• Closed circle at 2 and shade to the right.

• Open circle at 2 and shade to the right.

• Closed circle at 2 and shade to the left.

• Open circle at 2 and shade to the left.

7.11A Model and Solve Equations and Inequalities

• Write the equation from the model. We need two steps to solve Ax +B=C.

• Circle the variable.

• Undo the operations by first adding/subtracting on both sides of the equation

• Next, to undo the multiplication, divide on both sides of the equation

• Equations: 1x = ? or x = ? Inequalities: 1x < ?, 1x > ?, 1x ≤ ?, 1x ≥ ?

Multiple Choice

When solving this inequality, I must FLIP the inequality symbol in the answer.

$$-4x+7>27$$

• True

• False

Math Response

Solve the inequality below.

$$-4x+7>27$$

Type answer here

Correct Answer: x<-5

Deg^°

Rad

Multiple Choice

What is the value of x that makes the equation true?

• 2
• 3
• 1
• 4

Multiple Choice

Ms. Sunshine created a model below to represent an equation. What equation does Keisha's model represent and what is the value of x?

• $$8x+5=17$$

• $$4x+5=17$$

Multiple Choice

Ms. Sunshine created a model below to represent an equation. What equation does Keisha's model represent and what is the value of x?

• $$x=-1.5$$

• $$x=3$$

• $$x=1.5$$

• $$x=-3$$

7.11A Equations and Geometry

• Write the equation from the picture or problem.

  All angles in a triangle are equal to 180°

  Isosceles triangles have two congruent sides, two congruent angles

  Supplementary (straight) -- add up to 180°

  Complementary (corner)  -- add up to 90°

  Right angle -- 90°

• Combine like terms if needed (Either variables 5x + 2x = 7x or constants 5 + 25 + 45 = 75)

• Circle the variable.

• Undo the operations by first adding/subtracting on both sides of the equation

• Next, to undo the multiplication, divide on both sides of the equation

• Equations: 1x = ? or x = ?

Multiple Choice

The sum of the measures of angle A and angle B is 90°.

The measure of angle A is $$\left(6x+12\right)\degree$$

The measure of angle B is $$48\degree$$ .

What is the value of x?

• 3
• 7
• 5
• 10

Math Response

The angle measures of a triangle are shown in the diagram.

 

 What is the value of x?

 

Record your answer and fill in the bubbles on your answer document.  Be sure to use the correct place value.

Type answer here

Correct Answer: 40

Deg^°

Rad

7.11B Determine if the given values are true or false

If the problem says that is x = _________ is given

Substitute or plug in the number value into the equation or inequality

• The correct answer should be true if

-- your answer is equal to x (Ex: 12 = 12)

-- your answer when comparing is correct in an inequality
(Ex: 6 > 3, -5 < 0, 4 ≤ 4)

​SADS
same sign add
different sign subtract

7.11B Determine if the given values are true or false

Examples:

​SADS
same sign add
different sign subtract

Multiple Select

An inequality is shown.

$$6x+4<-14$$

Which values of x are solution of the inequality. Select TWO correct answers.

• 10

• -10

• 0

• -3

• -4

Multiple Choice

Which equation is true when m = 20?

• $$-4m+12=-28$$

• $$-10-5m=-30$$

• $$\frac{m}{2}-3=7$$

• $$\frac{m}{4}+1=-7$$

Multiple Select

Which equations are true when p = 9?

Select TWO correct answers.

• $$4=-2p+18$$

• $$3p-7=20$$

• $$\frac{p}{3}+2=5$$

• $$4p-9=40$$

• $$12=2p+3$$