Algebra 1-3

What value of $ x $ is the solution of the equation $\frac{6x - 10}{2} = x + 1$? Enter your answer in the space provided.

Tags

CCSS.7.EE.B.4A

Terry has $125 in their checking account. At the end of each month, they will add $50 to the account. Which equation describes the total amount $ C $, in dollars, that Terry will have in their account at the end of month $ m $? Select one answer.

• C = 75m

• C = 175m

• C = 50 + 125m

• C = 125 + 50m

Tags

CCSS.HSF-BF.A.1A

The formula for the volume of a pyramid is $ V = \frac{1}{3} Bh $. What is $ h $ expressed in terms of $ B $ and $ V $? Select one answer.

• $ h = \frac{1}{3} VB $

• $ h = \frac{3V}{B} $

• $ h = \frac{V}{3B} $

• $ h = 3VB $

Tags

CCSS.HSA.CED.A.4

The average price of a movie ticket in the United States from 2000 to 2020 is modeled by the expression $ 5.43 + 0.20x $, where $ x $ represents the number of years since 2000. Identify the part(s) of the expression that corresponds to the cost of movie tickets in 2000.

• $ 0.20 $

• $ 0.20x $

• $ 5.43 $

• $ 5.43 + 0.20x $

Tags

CCSS.HSF.LE.B.5

Graph the system of inequalities in the $xy$-plane. \[\begin{cases} y < \frac{1}{2}x - 1 \\ y \leq -3x + 2 \end{cases}\]

• A

• B

• C

• D

Tags

CCSS.HSA.REI.D.12

A system of equations is given. \[\begin{align*}y &= 7x - 1 \\y &= 3x + 2 \end{align*}\] What is the value of \( x \) in the solution \( (x, y) \) to the system?

• \(\frac{3}{4}\)

• \(\frac{3}{10}\)

• \(\frac{1}{4}\)

• \(\frac{1}{10}\)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Lance decided they wanted to go to the neighborhood carnival during Spring Break. The carnival charges a one-time entry fee of $12.50 and $2.50 per ride. Define a variable and write an expression that represents the scenario.

Tags

CCSS.HSA-SSE.A.1A

If Lance saved $50 to attend the carnival, how many rides can he ride? Show your work or explain how you found your answer.

Tags

CCSS.6.EE.B.7

Rose will purchase hats and scarves for the students in her class this year. - She can spend at most $165 on hats and scarves. - Hats cost $3 each, and scarves cost $5 each. - She must buy at most two times as many hats as scarves. Write a system of inequalities that can determine the number of hats and scarves Rose can buy. Select one answer.

• 3x + 5y ≤ 165 and 2x ≤ y

• 3x + 5y ≥ 165 and 2x ≥ y

• 3x + 5y ≤ 165 and x ≤ 2y

• 3x + 5y ≥ 165 and x ≥ 2y

A student earns money during the summer by charging $25 per hour tutoring neighborhood kids and $35 per hour cutting their neighbor's grass. The student cannot work more than 35 hours per week. The student wants to earn at least $475 each week. Let x represent the number of hours tutoring kids in the neighborhood and y represent the number of hours spent cutting grass his neighbor’s grass. Select the two equations below that can be used to create a system of inequalities that represents the given constraints.

• 25x + 35y ≤ 35

• x + y ≤ 35

• 25x + 35y ≥ 475

• 35x + 25y ≤ 35

• 35x + 25y ≥ 475