Snapshot 1 Review

Snapshot 1 Review

by: Ms. Wallace

Multiple Choice

The Venn diagram shows the relationships between subsets of real numbers.

Which statement does NOT describe the relationship between sets of real numbers in the diagram?

• Integers are a subset of whole numbers.

• Irrational numbers are a subset of real numbers.

• Natural numbers are a subset of integers.

• Whole numbers and natural numbers are both subsets of rational numbers.

Multiple Choice

Which Venn diagram correctly describes the relationships between Set P and Set Q?

P = {Integers}

Q = {Rational Numbers}

Multiple Choice

Which Venn diagram correctly represents the relationship between irrational numbers and whole numbers?

​Don't forget to use you calculator for the next 3 problems.

• ​Remember you can always press the button next to the book key. This will also give you an option for square roots.

Multiple Choice

Aaron found the length of the hypotenuse of a right triangle to be  $$\sqrt[]{115}$$  . Where should he plot  $$\sqrt[]{115}$$   on a number line?

Multiple Choice

The points on the number line represent the values of four different numbers.

Which point best represents the value of $$\sqrt[]{7}$$  ?

• Point A

• Point B

• Point C

• Point D

Multiple Choice

The area of a piece of land is 4,951,000 square meters. How is this number of square meters written in scientific notation?

• $$4.951\times10^6$$  

• $$4.951\times10^{-6}$$  

• $$4.951\times10^3$$  

• $$4.951\times10^{-3}$$  

Multiple Choice

The diameter of a grain of sand is approximately 0.0024 inch. How is this number written in scientific notation?

• $$0.24\times10^{-2}$$  

• $$2.4\times10^{-3}$$  

• $$24\times10^4$$  

• $$2.4\times10^3$$  

​Remember!

• ​Negative number come first!

• ​"Bigger" negatives are really smaller... ex: -2.5 is bigger than -3.67

• ​When converting a mixed number to a decimal, ONLY type the fraction into the calculator!

Multiple Choice

Which list shows these numbers in order from least to greatest?

Multiple Choice

The table lists the average precipitation for Austin, Texas for four months. Which list shows the amounts from greatest to least?

Multiple Choice

Five negative numbers are shown. Which list shows the numbers in order from least to greatest?

​DON'T FORGET PIA!!!

• ​Principal + Interest = Total Amount

Multiple Choice

Erin deposited $2,550 into an account paying a simple interest rate of 3.2% per year. Which of the following is the total amount in the account after 3 years?

• $244.80

• $2,574.48

• $2,794.80

• Not here

Multiple Choice

Randy invested $1,800 at an interest rate of 10% compounded annually. What is the amount of interest in dollars that he will earn after 4 years?

• $2,635.38

• $835.38

• $720.00

• $2,520.00

Multiple Choice

Luca has $750 to deposit into two different accounts.

~He will deposit $350 into Account I, which earns 4.5% annual simple interest.

~He will deposit $400 into Account II, which earns 4.25% interest compounded annually.

Luca will not make any additional deposits or withdrawals. Which amount is closest to the sum of the balances of Account I and Account II at the end of 3 years?

• $852.60

• $848.25

• $851.25

• $850.45

Modeling and Solving Equations​

​Remember to use nsolve

• ​MENU

• ​3 (Algebra)

• ​1 (Numerical solve)

• Don't forget the ,x at the end​

Multiple Choice

The model represent an equation. What value of x makes the equation true?

• $$x=3$$  

• $$x=-\frac{9}{5}$$  

• $$x=-3$$  

• $$x=\frac{9}{5}$$  

Multiple Choice

A model for an equation is shown. What is the solution to the equation?

• $$x=-0.5$$  

• $$x=0.5$$  

• $$x=-1.5$$  

• $$x=1.5$$  

​Writing Equations and Inequalities

• ​Don't forget your T-Chart

• ​Pay attention to key words

Multiple Choice

Helen had $330 in her savings account when Vince opened a savings account with zero dollars.

Helen deposited $30 into her account each week for x weeks.

Vince deposited $50 into his account each week for x weeks.

Which inequality represented this situation when the amount of money in Helen's account is greater than the amount of money in Vince's account?

• $$30x<330+50x$$  

• $$50x>330+30x$$  

• $$30x>330+50x$$  

• $$50x<330+30x$$  

Multiple Choice

Two eighth grade classes are having a bake sale to raise money.

One class is selling cookies for $1.50 each and has already raised $250.

The other class is selling muffins for $2.00 each and has already raised $175.

Which equation can be used to find b, the number of baked goods each class needs to sell so that the total amount raised is the same for both classes?

• $$2.00b+250=1.50b+175$$  

• $$1.50b+250=2.00b+175$$  

• $$250b+1.50=175b+2.00$$  

• Not here

Multiple Choice

At a store each pair of socks has a cost of x dollars. Which situation can be represented by this inequality?

$$6x<3x+4.95$$  

• The cost of 6 pairs of socks is greater than the cost of 3 pairs of socks plus a T-shirt for $4.95

• The cost of 6 pairs of socks is less than the cost of 3 pairs of socks with a $4.95 coupon

• The cost of 6 pairs of socks is $4.95 greater than the cost of 3 pairs of socks

• The cost of 6 pairs of socks is less than the cost of 3 pairs of socks plus a T-shirt for $4.95

Multiple Choice

Which situation can be modeled by this equations?

$$250+7x=540-5x$$  

• Rosa started with savings of $250 and spends $7 of her savings every week. Mario stared with $540 and adds $5 to his savings every week. What is x, the number of weeks that need to pass in order for Rosa and Mario to have the same amount of savings?

• Rosa has a container that originally contained 250 fl oz of water and is being filled at a rate of 7 fl oz per minute. Mario has a container that originally contained 540 fl oz of water and is being drained at a rate of 5 fl oz per minute. What is x, the number of minutes that need to pass in order for two containers to contain the same amount of water?

• Rosa has 250 trading cards in her collection. Mario has 540 trading cards. What is x, the number of cards that Mario needs to give Rosa in order for Rosa and Mario to have the same number of trading cards?

• On a hike, Rosa stars at an elevation of 250 feet and goes up at a rate of 7 feet per minute. Mario started at an elevation of 540 feet and goes up at a rate of 5 feet per minute. What is x, the number of minutes until the two of them are at the same elevation?

Multiple Choice

Joe and his family are discussing how to pay for his college education. the cost of tuition at the college he wants to attend if $8,400 per year. His parents will pay 80% of the tuition every year, and he will pay the rest. He has one year to save enough money for his first year of college. What is the minimum amount of money he should save every month in order to reach his goal?

• $1,680.00

• $560.00

• $140.00

• $32.31

Multiple Choice

Rut and her family are discussing how to pay for her college education. The cost of tuition at the college she wants to attend is $9,000 per year. Her parents will pay 85% of the tuition cost every year, and she will pay the rest. She has one year to save enough money to attend her first year of college. What is the minimum amount of money she should save every month in order to reach her goal?

• $637.50

• $1,350.00

• $112.50

• $28.12