Equations and Inequalities-EOchoa

The measures of two angles are (5x + 24) and (9x - 17) .

What is the value of x if these angles are congruent?

• 1.75

• 13.2

• 0.5

• 10.25

A math teacher instructed her students to write the following numbers in order from greatest to least.

Which list shows the numbers written in the correct order?

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What value of x makes this equation true?

0.6x - 5 = 0.1x + 7

• 4

• 14

• 24

• 6

What value of x makes this equation true?

• 3

• -9

• -1

• 27

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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

• 2.50

• -2.25

• 2.25

• -2.50

Tags

CCSS.8.EE.C.7B

Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year.

Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria?

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Two eighth-grade classes are selling raffle tickets to raise money.

-One class is selling tickets for $2.50 each and has already raised $350.

-The other class is selling tickets for $3.00 each and has already raised $225.

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

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Sophia is ordering trophies for her school. Company P charges $3.50 for each trophy and a one-time engraving fee of $25. Company R charges $7.50 for each trophy and a one-time engraving fee of $17. Which inequality can be used to find x, the minimum number of trophies that can be ordered so that the total charge at Company P is less than the total charge at Company R?

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Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. Which inequality represents the situation when the monthly cost at Store S is less than the monthly cost at Store T?

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Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?

• 25

• 10

• 50

• 75