Algebra Bootcamp Review

Which expression is equivalent to (7k + 2)(5k – 9)?

• 35k2 – 18

• –18k – 18

• 35k² – 53k – 18

• 35k² – 73k – 18

Tags

CCSS.HSA.APR.A.1

Anna invested $1,000 in a savings account that pays an annual interest rate of 5%, compounded annually. How much will her investment be worth after 3 years?

• $1,300.00

• $1,150.00

• $1,157.63

• $1,600.00

Tags

CCSS.HSF.BF.A.2

Solve the compound inequality and graph the solution set:

-1 ≤ 2𝑥 − 3 < 5

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• 
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What is the equation of the function?

• 𝑦 = 𝑥² − 𝑥 − 6

• 𝑦 = 𝑥 ² − 𝑥 − 3

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Solve the expression:

• 2𝑥² − 8𝑥 + 6

• 2𝑥² − 8𝑥 + 3x

• 6𝑥² − 24𝑥 + 18

Tags

CCSS.HSA.APR.D.6

Two hikers are exploring a mountain. One hiker is at an elevation of 200 meters, while the other hiker is at a different elevation. The given equation can be used to find the possible elevations, 𝑦, in meters, of the other hiker.

∣ 𝑦 − 200 ∣ = 45

Enter values to complete the sentence about the other hiker's elevation, in meters.

The other hiker is at an elevation of either ___ or ___.

Emily collects data on the growth of a tree from 2000 to 2020. She graphs the height of the tree and the number of years since 2000 in the scatter plot shown.

She determines the equation for the line of best fit to be 𝑦 = 1.5𝑥 + 2.75 where 𝑦 represents the height of the tree, in feet, and 𝑥 represents the number of years since 2000.

Based on Emily’s model, what is the projected height of the tree, in feet, for 2030?

Tags

CCSS.HSF.LE.B.5

David is planning a party and wants to buy cupcakes and cookies.

• Cupcakes cost $3 each.

• Cookies cost $2 each.

• David can spend a maximum of $30.

Create an inequality to represent how many cupcakes, 𝑐, and cookies, 𝑘, David can buy.

Alex surveyed 160 high school freshmen and sophomores about their favorite types of fruit. He records the results in the table shown.

How many more high school freshmen and sophomores chose bananas than oranges?

Tags

CCSS.3.OA.D.8

Simplify the following expression:

√72 ÷ √2